ISS PRIMARY PYP MATHEMATICS SCOPE AND SEQUENCE – …internationalschoolsuvaprimary.weebly.com/uploads/2/3/1/5/231567… · ISS PRIMARY PYP MATHEMATICS SCOPE AND SEQUENCE – aligned

ISS PRIMARY PYP MATHEMATICS SCOPE AND SEQUENCE – aligned to making judgements ECH1 – Year 7 2015

Early Childhood 1 PHASE ONE Working Above Level (Proficient) Working At Level (Competent) Working Below Level (Developing)

Co

nst

ruct

ing

Mea

nin

g

Tran

sfer

rin

g M

ean

ing

Ap

ply

ing

Mea

nin

g

Number Makes connections between written number names, numerals and quantities beyond 10 and including zero.

Recognises the process of addition in real-life contexts.

Counts to and from 10 and beyond and orders small collections of objects.

Makes connections between written number names, numerals and quantities up to 10 and including zero.

Recognises by sight, the quantity in small collections of objects.

Counts to and from 10 and orders small collections of objects.

Can label a line or race as 1st

, 2nd

, 3rd

.

Larger or smaller, more or less up to 10.

Makes connections between numerals and quantities up to 5.

Developing an understanding of zero.

With prompting, counts to and from 10 and can identify the quantity in small collections of objects.

Patterns and Function

Copies, continues and creates both simple and more complicated patterns, involving objects and drawings. Able to identify missing elements.

Copies, continues and creates simple patterns with real objects and drawings.

Copies and continues simple patterns with objects and drawings.

Shape and Space Recognises, describes and classifies familiar two-dimensional shapes and three-dimensional objects using obvious features.

Sorts, describes and names two-dimensional shapes and three-dimensional objects in the environment. (sphere, cube, cylinder, cone, circle, square, diamond, triangle, rectangle)

What is the difference between….square and rectangle?

Recognises and describes some two-dimensional shapes and three-dimensional objects in the environment.

Able to give and follow simple directions to familiar locations using the appropriate language.

Uses appropriate language to describe position and movement. E.g. inside, outside, above, below, next to, beside, behind, in front of, down.

What is the difference between straight, curved and wavy lines?

With prompting, able to describe position and movement using the appropriate language.

Data Handling Collects information by asking simple questions and gathering responses.

Use of language – impossible, maybe, certain. Give an example of a realistic event that is impossible, maybe, certain.

Answers simple yes/no questions to collect information.

Sort and label real objects into sets by attributes.

Create a graph of real objects (pictographs) and compare quantities using number words.

Collect data and make tallies. Reasonably estimate the results and answer ‘how many?’ questions related to tally.

Discuss and identify outcomes that will

With assistance, answers simple yes/no questions to collect information.


happen, might happen.

Measurement Can locate familiar dates on the calendar and connect familiar events with days of the week and times of the day. Compares, orders and discusses the duration of events using months, weeks and days. Measures and compares the lengths and capacities of pairs of objects using uniform informal units.

Has an awareness of the calendar and can connect days of the week with familiar events or actions. Identifies, compares and orders the duration of events using the everyday language of time such as before, after, bed time, story time, today, tomorrow and yesterday. Uses direct and indirect comparisons to decide which is longer, heavier or holds more, hotter, faster and can explain reasoning in everyday language.

Has an awareness of the days of the week and is learning to recall them in order. Describes the duration of events in simple everyday language. Uses direct comparison to decide which is longer, heavier or holds more, and can report findings orally.


Early Childhood 2 PHASE ONE Working Above Level (Proficient) Working At Level (Competent) Working Below Level (Developing)

Co

nst

ruct

ing

Mea

nin

g

Tran

sfer

rin

g M

ean

ing

Ap

ply

ing

Mea

nin

g




Makes connections between written number names, numerals and quantities up to 20 and including zero.

Recognises by sight, the quantity in small collections of objects including larger and smaller, more or less up to 20.


Ascending and descending numbers up to 20.

Ordinal numbers up to 5 and provide examples.

Makes connections between numerals and quantities up to 10. Developing an understanding of zero.


Patterns and Function

Copies, continues and creates both simple and more complicated patterns, involving objects and drawings. Able to identify missing elements.

Copies, continues and creates patterns with objects and drawings.

Copies and continues patterns with objects and drawings.


Able to give and follow simple directions to familiar locations.

Sorts, describes, names and compares two-dimensional shapes and three-dimensional objects in the environment according to attributes such as shape and form. E.g. This is round, these roll, there are squares in a cube, rectangles in a rectangular prism etc.

Uses appropriate language to describe position and movement such as inside, outside, above, below, next to, beside, behind, in front of, up, down.

Follow and give directions using prepositions such as forwards, backwards.

Demonstrate left from right.

Recognises, describes and names some two-dimensional shapes and three-dimensional objects in the environment.

With prompting, able to describe position and movement.



Labelling and describing objects based on attributes. Compare objects using attributes.

Collect data and make tally marks over 10 and reasonably estimate the tally results, make a descriptive title for the tally and answer ‘how many’ and ‘which one has more/less’ questions related to a tally.



Discuss and identify outcomes that will happen, might happen. Use of language – impossible, maybe, certain. Give an example of a realistic event that is impossible, maybe, certain.

Measurement Locate familiar dates on the calendar and connect familiar events with days of the week and times of the day.

Compare, order and discuss the duration of events using months, weeks and days.

Measures and compares the lengths and capacities of pairs of objects using uniform informal units.

Has an awareness of the calendar and can connect days of the week with familiar events or actions.

Compares and orders the duration of events using the everyday language of time.

Uses direct and indirect comparisons to decide which is longer, heavier or holds more, and can explain his/her reasoning in everyday language.

Has an awareness of the days of the week and is learning to recall them in order.

Describes the duration of events in simple everyday language.

Uses direct comparison to decide which is longer, heavier or holds more, and can report findings orally.


Reception PHASE ONE Working Above Level (Proficient) Working At Level (Competent) Working Below Level (Developing)

Co

nst

ruct

ing

Mea

nin

g

Tran

sfer

rin

g M

ean

ing

Ap

ply

ing

Mea

nin

g




Makes connections between written number names, numerals and quantities up to 50 and including zero. (including ascending and descending)

Recognises by sight, the quantity in small collections of objects.

Counts to and from 50 (in 1s, 2s, 5s and 10s) and orders/compares small collections of objects up to 50. (more than, less than)

Use ordinal numbers to describe the position of things in a sequence. (to 15

th)

Uses mathematical vocabularies and symbols of addition and subtraction, read, write and model addition to 20 and subtraction to 10 without regrouping.

Can name tens and ones in a number and represent numbers up to 100 using MAB manipulatives.

Addition and subtraction of single digit numbers.

Expresses an array as groups of, repeated addition.

Understanding and use of fraction names: half, quarter to describe par and whole relationships in everyday contexts.

Makes connections between numerals and quantities up to 20. Developing an understanding of zero.


Pattern and Function Continues, creates and extends both simple and more complicated patterns, involving objects, drawings and numbers. Able to identify missing elements.

Creates, describes and extends patterns with objects, shapes and drawings. Investigate patterns in the environment and use mathematical language to describe patterns.

Recognises, describes and extends number patterns: odd/even, skip counting 2s, 5s and 10s on a number line. Uses a 100s chart to describe, extend and explain pattern.

Identifies patterns and rules for addition. E.g. 4 + 3 = 7, 3 + 4 = 7.

Copies and continues patterns with objects and drawings.


Models with manipulatives the relationship between addition and subtraction. E.g. 3 + 4 = 7, 7 – 4 + 3.

Makes models to compare and contrast 2 equations.


Able to give and follow simple directions to familiar locations.

Sorts, describes and names two-dimensional shapes and three-dimensional objects in the environment using faces and corners of.

Explain the differences between these shapes and provide real life examples of all.

Recognise, create and explain simple symmetrical designs.

Drawing simple maps including labels, boundaries and provide and follow directions using prepositions.

Uses appropriate language to describe position and movement: left, right, backward, forward, next to, to the right of, to the left of, between.

Recognises and describes some two-dimensional shapes and three-dimensional objects in the environment.

With prompting, able to describe position and movement.



Discuss and compare data using a Venn diagram.

Creating pictographs and bar graphs and answering ‘how many’ questions and ‘how many more/less’ questions in relation to the same.

Given a real life event, discuss, predict and place outcomes in order of likelihood: impossible, less likely, maybe, most likely, certain.


Measurement Locate familiar dates on the calendar and connect familiar events with days of the week and times of the day.

Compares, orders and discusses the duration of events using months, weeks and days.

Measures and compares the lengths and capacities of pairs of objects using uniform informal units.

Demonstrates awareness of the calendar and can connect days of the week with familiar events or actions. Identifies today’s date orally and on the calendar.

Sequences days of the week and months of the year.

Read and write time in o’clock in analogue and digital times.

Has an awareness of the days of the week and is learning to recall them in order.


Uses direct comparison to decide which is longer, heavier or holds more, and can report his/her findings orally.


Compares and orders the duration of events using the everyday language of time including seconds, minutes, hours, days, weeks, months and years.

Uses direct and indirect comparisons to decide which is longer, heavier or holds more, hotter or colder and can explain his/her reasoning in everyday language.

Estimate, measure, label and compare using non-standard units.

Understand why we use standard units and measuring tools.

Identifies, estimates, compares prices under $5 and is able to use the dollar and cents symbols.


Year One PHASE TWO Working Above Level (Proficient) Working At Level (Competent) Working Below Level (Developing)

Co

nst

ruct

ing

Mea

nin

g

Tran

sfer

rin

g M

ean

ing

Ap

ply

ing

Mea

nin

g

Number Identifies, extends and creates number sequences, including those increasing and decreasing by ones, twos, fives and tens, from any starting point.

Recognises, models, reads, writes and orders numbers beyond 100 and is able to mark these numbers on a number line and count collections beyond 100 by partitioning numbers using place value.

Uses a range of efficient mental and written strategies to solve simple addition and subtraction problems. Recognises the processes of multiplication and division in real-life contexts.

Recognises and interprets common uses of halves of shapes and collections and can represent ¼ and 1/8 using models and pictures.

Count and order small collections of coins according to their value.

Makes connections between written number names, numerals and quantities up to 100, including zero.

Developed confidence with number sequences to and from 100 by ones from any starting point. Able to skip count by ones, twos, threes, fives and tens from any starting point (forwards and backwards).

Recognises, models, reads, writes and orders numbers to 100 and able to locate these numbers on a number line and count collections to 100 by partitioning numbers using place value. (tens and ones)

Identify odd and even numbers.

Read, write, compare and order ordinal numbers to 31 (including the use of them in calendar dates)

Estimate quantities to 20 and check.

Represents and solves simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts. (to 100 without regrouping, facts to 20) Use mathematical vocabulary and symbols of addition and subtraction (+, - , =, add, sum, total, subtract, take away, difference)

Explores and recognises multiplication as repeated addition, groups and arrays and explores division as equal shares/grouping.

Recognises and describes one-half as one of two equal parts of a whole and one quarter as one of four equal parts of a whole.

Recognises, describes and orders coins according to their value. (up to $1)

Counts small collections of coins and notes

Some understanding of number sequences to and from 50 by ones from any starting point. With prompting, is able to skip count by twos, fives and tens from zero.

Makes connections between written number names, numerals and quantities beyond 20 and including zero.

Recognises the processes of addition and subtraction in real-life contexts.

With prompting, recognises one-half as one of two parts of a whole.

Realises that money is used for purchasing.

Pattern and Function

Describes patterns with numbers and objects and is able to identify missing elements.

Describe, extend and create various patterns.

Investigates, describes, extends and creates

Copies, continues and creates patterns with objects and drawings.

http://www.australiancurriculum.edu.au/Glossary?a=M&t=Number

http://www.australiancurriculum.edu.au/Glossary?a=M&t=Point


number patterns formed by skip counting and patterns with objects.

Recognises odd and even numbers and patterns made.

Identifies missing elements in simple number patterns.

Identify patterns and rules for addition: turn arounds, fact families and make models to compare and contrast 2 equations. (4 + 3 = 3 + 4 – cumulative property)

Shape and Space Describes and draws two-dimensional shapes, with and without digital technologies and describes the features of three-dimensional objects.

Give and follow directions to familiar locations. Able to make use of simple maps.

Recognises and classifies familiar two-dimensional shapes (including pentagon, hexagon and octagon) and three-dimensional objects (cone, sphere, cube, cylinder) using obvious features such as sides, corners, faces, edges, vertex, angles.

Analyse and describe the differences/relationships between two-dimensional and three-dimensional shapes.

Create two-dimensional shapes and make patterns with two-dimensional shapes and objects which tessellate.

Make models of three-dimensional objects.

Create, explain simple symmetrical designs and explain symmetry in immediate environment.

Give and follow directions to familiar locations describing paths, regions and boundaries and using position such as left, right, forward and backward.

Produce ‘bird’s eye view’ maps to represent familiar locations.

Sorts, describes and names two-dimensional shapes and three-dimensional objects in the environment.

Uses appropriate language to describe position and movement.

Data Handling Identify a question of interest, gather data relevant to the question and create simple displays such as lists, tables and picture graphs to represent the given data.

Identifies practical activities and everyday events that involve chance. Able to independently describe the outcomes of an event using everyday language such as possible, impossible, unlikely, likely, certain.

Collects data by asking simple questions and gathering responses. Represents data with objects and drawings where one object or drawing represents one data value. Describe these displays orally. (lists, tables, pictographs, tally marks and simple bar graphs)

Interpret data for the purpose of answering questions related to comparing quantities


With some assistance, identifies the outcomes of familiar events involving chance and describes them using everyday language such as might happen, will happen, won’t happen.

http://www.australiancurriculum.edu.au/Glossary?a=M&t=Data


(more, fewer, less than, greater than)

Identifies the outcomes of familiar events, involving chance and describes them using everyday language in order of likelihood: possible, impossible, unlikely, likely, certain.

Measurement Use a calendar to identify the date and determine the number of days in each month.

Compares and orders several shapes and objects based on length, area and capacity, using appropriate uniform nonstandard units.

Tells time to the quarter-hour, using the language of 'past' and 'to'. Can accurately name and order the days of the week, months and seasons.

Can locate familiar dates on the calendar and connect familiar events with days of the week and/or times of the day.

Measures and compares the lengths and capacities of pairs of objects using uniform/appropriate nonstandard units.

Use nonstandard units of measurement to solve problems in real-life situations involving length, area, mass and capacity.

Compares masses of objects using balance scales.

Understand why we measure familiar objects using centimeters and meters.

Read and write analogue and digital time to the hour and half hour using the language of ‘past’.

Use the calendar to determine the date and to identify and sequence the days of the week, months of the year including determining the number of days in each month.

Can tell o’clock times, has an awareness of the days of the week and is learning to recall them in order.


Uses direct comparison to decide which is longer, heavier or holds more, and can report findings orally.

Year Two

PHASE TWO/THREE Working Above Level (Proficient) Working At Level (Competent) Working Below Level (Developing)

Co

nst

ruct

ing

Mea

nin

g

Tran

sfer

rin

g

Mea

nin

g

Ap

ply

ing

Mea

nin

g Number Identifies, extends and creates complex number sequences, including those increasing and decreasing by twos, threes, fives and tens from any starting point.

Recognises, models, represents and orders numbers to at least 10 000.

Applies place value concepts to partition,

Identifies, extends and creates number sequences, including those increasing and decreasing by twos, threes, fours, fives and tens from any starting point.

Recognises, models, represents, writes and orders numbers to at least 1000. (including money) (<.>,=)

Investigates and describes number patterns formed by skip counting and patterns with objects.

Recognises, models, reads, writes and orders numbers to at least 100.

Locates these numbers on a number line and count collections to 100, by partitioning


http://www.australiancurriculum.edu.au/Glossary?a=M&t=Capacity



http://www.australiancurriculum.edu.au/Glossary?a=M&t=Place%20value




rearrange and regroup numbers to at least 10 000, and uses these to assist with calculations and to solve problems.

Recognises and explains the connection between addition and subtraction, and is developing efficient mental strategies for computation.

Recalls multiplication facts of two, three, five and ten and some related division facts and represents and solves problems involving multiplication using efficient mental and written strategies.

Models and represents unit fractions including 1/2, 1/3, 1/4, 1/8 and their multiples to a complete whole.

Represents money values in multiple ways and counts the change required for simple transactions to the nearest five cents.

Groups, partitions and rearranges collections up to 1000 in hundreds, tens and ones.

Uses a range of efficient mental and written strategies to solve simple addition and subtraction problems. (addition and subtraction to 100 with and without regrouping, automatic recall of basic addition and subtraction facts to 20, doubles, near doubles, number line, hundred square) Use written algorithm for addition and subtraction without regrouping.

Recognises and represents multiplication as repeated addition, groups and arrays, and represents division as grouping into equal sets. Solves simple problems using these representations. (1s, 2s, 3s, 5s, 10s)

Uses mathematical symbols and vocabulary for multiplication and division. (times, multiply, share equally, divide, x, ÷)

Use of calculators to add, subtract, multiply and divide numbers arising in practical situations. Explore calculator functions and use calculator to represent and explore numbers.

Recognises and interprets common uses of halves, quarters, fifths and eighths of shapes and collections. Compare and order fractions.

Count and order small collections of coins and notes according to their value. Giving change from any amount up to $1 using a variety of methods. (to the nearest 5c)

numbers using place value.

Represents and solves simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts.

Beginning to understand multiplication as repeated addition, groups and arrays and is able to calculate some totals using materials and visuals for support.

Recognises and describes one-half as one of two equal parts of a whole and quarters as one of four equal parts of a whole.

Recognises, describes and orders coins according to their value.


Describe, continue, and create number patterns, which result from performing addition or subtraction.

Solves problems, by using number sentences for addition or subtraction.

Describes, extend and create a variety of patterns with numbers and identifies missing elements.

Solves problems, by using number sentences for addition or subtraction.

Investigates and describes number patterns formed by skip counting and patterns with objects, and is able to identify missing elements in some familiar sequences.

http://www.australiancurriculum.edu.au/Glossary?a=M&t=Multiplication%20


http://www.australiancurriculum.edu.au/Glossary?a=M&t=Multiple








Use number patterns and relationships to solve problems.

Identify and model inverse relationships between addition and subtraction (3 + 4 = 7, 7 – 3 = 4)

Identify the properties of addition; commutative (4+3=3+4) and associative (2+(5+3) = (2+5)+3)

Identify and model the relationship between multiplication and addition (repeated addition)

Identify the commutative property of multiplication (3x2=2x3)

Shape and Space Draws two-dimensional objects accurately, with and without digital technologies. Makes simple models of three-dimensional objects and describes the key features.

Creates and interprets simple maps to show position and pathways.

Describes and interprets position and movement using flips, slides and turns.

Compares and analyses relationships between and within 2D and 3D shapes and objects. (regular/irregular polygons)

Describes and draws two-dimensional shapes, with and without digital technologies. (square, circle, triangle, rectangle, pentagon, hexagon, trapezium, rhombus)

Identify parallel lines.

Describes the features of three-dimensional objects. (faces, corners, edges, curved surfaces) Draw 3D objects from the top, front and side view.

Recognise and describe translation, rotation, reflection and symmetry. Create symmetrical patterns.

Interprets simple maps of familiar locations and identifies the relative positions of key features. Create and follow directions to draw a path on a simple plan to show a described route (up, down, left, right).

Investigates the effect of one-step slides, flips and turns with and without digital technologies and can identify and describe half and quarter turns.

Identify angles as measures of turn and compare angle sizes in everyday

Recognises and classifies familiar two-dimensional shapes and three-dimensional objects using obvious features.

Give and follow directions to familiar locations. Requires support to interpret simple maps. With teacher prompting, able to describe the effect of one-step slides, flips and turns.


situations.

Identify right angles and distinguish between right angles and angles smaller and larger than a right angle.

Data Handling Recognises when chance is involved in everyday events. Identify and describe the possible outcomes using appropriate mathematical language and recognise when variations occur in the results.

Identify questions of interest, plan methods of data collection and record the results appropriately.

Organises data into categories and creates displays using lists, tables, picture graphs and simple column graphs. Interpret and compare data displays.

Uses probability to determine mathematically fair and unfair games and explain possible outcomes. (likelihood: possible, impossible, unlikely, likely, a good chance, could happen, probably and certain)

Identify a question of interest, gather data relevant to the question, and classify the data effectively using tree, Carroll, Venn and other diagrams.

Collect and create displays of data using lists, tables, picture graphs, bar and column graphs and interpret them meaningfully. (identify questions or issues for categorical variables and describe similarities and differences of data)

Identifies the outcomes of familiar events, involving chance and describes them using everyday language such as ‘will happen’, ‘won’t happen’ or ‘might happen’. Collects data by asking simple questions and gathering responses.

Represents data with objects and drawings where one object or drawing represents one data value. Able to describe these displays orally.

Measurement Measures, orders and compares objects using familiar metric units of length, mass and capacity.

Tells time to the minute and investigates the relationship between units of time. Names and orders the months and seasons, calculates the number of days in each month and use a calendar effectively.

Estimates, measures, compares and orders several shapes and objects based on length, area, volume and capacity, using appropriate nonstandard units.

Recognises and describes the attributes of length, area, angle, volume, capacity, mass and temperature.

Measure for a variety of purposes in order to build, design, generate data, sort, classify and search for patterns from everyday life.

Investigate relationships between length and area and estimate, measure, label and compare perimeter and area using cm and m.

Reads and writes time (digital and analogue) to the quarter-hour, using the language of 'past' and 'to' and can name and order the months and seasons.

Uses a calendar to identify the date, year, month, week and day.

Uses familiar measures of time to assist with problem solving in real life situations.

Measures and compares the lengths and capacities of pairs of objects using informal units.

Tells time to the half hour and describes durations using months, weeks, days and hours.

With some teacher support, locates familiar dates on the calendar and connect familiar events with days of the week and/or times of the day.


http://www.australiancurriculum.edu.au/Glossary?a=M&t=Picture%20graphs







http://www.australiancurriculum.edu.au/Glossary?a=M&t=Volume



Estimate and compare lengths of time: second, minute, hour, day, week, month and year, and investigate the relationship between them.


Year Three PHASE THREE Working Above Level (Proficient) Working At Level (Competent) Working Below Level (Developing)

Co

nst

ruct

ing

Mea

nin

g

Tran

sfer

rin

g M

ean

ing

Ap

ply

ing

Mea

nin

g

Number Applies understanding of odd and even numbers to larger numbers and in problem solving tasks. Investigates number sequences involving multiples of 3, 4,6,7,8 and 9.

Recognises, represents and orders numbers to at least tens of thousands.

Apply place value to partition, rearrange and regroup numbers to at least tens of thousands, where needed to assist calculations and solve problems.

Explain the connection between addition and subtraction and apply this when looking for unknowns. Fast and accurate recall of addition and subtraction facts and is able to use these in mental computation.

Can recall most multiplication facts up to 10 x 10.

Developed efficient mental and written strategies for multiplication and division where there is no remainder.

Models and represents fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole. Investigates equivalent fractions in familiar contexts.

Solves problems involving purchases and the calculation of change to the nearest five cents, with and without a calculator. Represent money values in multiple ways.

Investigates the conditions required for a number to be odd or even and identifies odd and even numbers. Investigates number sequences involving multiples of 3, 4, 6, 7, 8, 9.

Recognizes, models, represents, writes, compares and orders numbers to at least 10 000.

Applies place value concepts to partition, rearrange and regroup numbers to 10 000, and uses these to assist with calculations and solve problems. (thousands, hundreds, tens and ones)

Recognizes and explains the connection between addition and subtraction. Recall addition facts for single-digit numbers and related subtraction facts and is developing increasingly efficient mental strategies for computation.

Represent and solve addition and subtraction problems at least within 1000 using written strategies for computation and appropriate digital technologies. (written algorithm with regrouping)

Recalls multiplication facts up to 10 x 10 including 0 and related division facts, using efficient mental and written strategies and appropriate digital technologies for multiplication and division within 100. Represents and solves problems involving multiplication, using efficient mental and written strategies and appropriate digital technologies. (horizontally and vertically)

Solve simple division problems with remainders (leftovers).

Use estimation and rounding to check reasonableness of answers to calculations.

Represents the concept of odd and even using materials to support thinking. Identifies, extends and creates number sequences, including those increasing and decreasing by twos, threes, fives and tens from any starting point.

Recognizes, models, represents and orders numbers to at least 1000.

Group, partition and rearrange collections up to 1000 in hundreds, tens and ones.

Uses a range of mental and written strategies to solve simple addition and subtraction problems.

Beginning to be able to recognise and represent multiplication as repeated addition, groups and arrays. Represents division by grouping into equal sets.

Recognises and interprets common uses of halves, quarters and eighths of shapes and collections.

Count and order small collections of coins and notes according to their value.




http://www.australiancurriculum.edu.au/Curriculum/ContentDescription/ACMNA056









Use the language of fractions (numerator, denominator, decimal, decimal point) and interpret the numerator and denominator of a fraction. (3/8 means 3 equal parts of 8)

Read, write and compare and order commonly used unit fractions (halves – tenths) and locate and represent on a number line.


Add and subtract decimals to hundredths.

Make connections between unit fractions and decimal notation.

Interpret everyday percentage.



Explore and describe number patterns resulting from performing multiplication.

Solves word problems by using number sentences involving multiplication.

Describe, extend, and create number patterns resulting from performing addition, subtraction, multiplication and division.

Use number patterns and relationships of the four operations to solve problems.

Describe and represent the rules for patterns in a variety of ways (using words and symbols).

Solve problems, by using number sentences for addition or subtraction. (23 + ? = 57 – 9)

Identify and model the inverse relationship between multiplication and division. 12 ÷ 4 = 3, 3 x 4 = 12

Solve word problems by using number sentences involving multiplication or division where there is no remainder.

Describes simple patterns with numbers and identifies missing elements.

With support, solve problems, by using number sentences for addition or subtraction.

Shape and Space Compare and describe two dimensional shapes that result from combining and splitting common shapes. Able to make models of three-dimensional objects and describe the key features.

Draws and describes key features of regular and irregular polygons accurately, with and without digital technologies (triangle, quadrilateral, pentagon, hexagon, heptagon, octagon)

Describes and draws two-dimensional shapes. Describe the features of three-dimensional objects.

Interprets simple maps of familiar locations and identifies the positions of key features.






Uses simple scales, legends and directions to interpret information contained in basic maps.

Creates symmetrical patterns, pictures and shapes.

Compares angles in everyday situations and is able to classify them as equal to, greater than or less than a right angle.

Identify and draw parallel lines.

Identify and sketch parallelograms and trapeziums.

Name, sort, draw and describe key features of prisms, pyramids, cones, cylinders and spheres.

Draw lines of reflective symmetry and create symmetrical patterns, pictures and shapes.

Create and describe patterns with the use of transformations such as flip, side and turn.

Analyse angles by comparing and describing rotations (whole turn, half turn, and quarter turn).

Compare angles and classify them as equal to, greater than (blunt) or less than (sharp) a right angle.

Describe position of different objects and locate them on a grid using simple coordinates.

Use simple scales, keys and directions to interpret information contained in basic maps.

Use N, S, E, W to describe locations. (North, south, east and west)

With teacher prompting, able to identify symmetry in the environment.

Identify and describe half and quarter turns.

Data Handling Confidently conducts chance experiments, identifies and describes possible outcomes and recognises when variations occur in the results.

Identify situations where one outcome cannot occur if the other outcome happens.

Describe various events that involve chance.

Classify events and order their chances of occurring using the language of chance (impossible, less likely/unlikely, maybe, most likely/likely, certain)

Conducts chance experiments, identifies and describes possible outcomes and recognizes when variations occur in the results.

Identify, select and trial methods for data collection, including survey questions and recording sheets.

Construct suitable data displays with and without use of digital technologies from given or collected data including tables,

Identifies practical activities and everyday events that involve chance. Describes outcomes as ‘likely’ or ‘unlikely’ and can identify some events as ‘certain’ or ‘impossible’.


diagrams, bar graphs and pictographs where one picture represents many data values.

Evaluate the effectiveness of different displays in illustrating data features including variability.

Identify, read and interpret range and scale on graphs (vertical and horizontal axis)

Identify and describe range (lowest and highest value) and mode (most frequent answer) of a set of data.

Measurement Measure and compare lengths, masses, capacities and temperatures, using scaled instruments. Compare objects using familiar metric units of area and volume.

Tells time to the minute, converts between units of time, and solves simple time problems.

Approaches unfamiliar mathematical problems with confidence. Applies repertoire of problem solving strategies, and/or modelling to solve unknowns.

Communicates results appropriately in oral and written forms. Describe the strategies used and discuss the reasonableness of answers.

Estimates, measures, orders, compares and record lengths of objects using standard units. (m, cm, mm)

Estimates, measures, compares and records masses using standard units (kg).

Estimates, measures, compares and records capacities using standard units (l).

Estimates, measures compares and records temperatures using standard units (degrees Celsius)

Estimates, measures, compares and records the area using standard units. (cm2)

Convert between common metric units of length and time (mm, cm, km/h, min).

Describe measures that fall between numbers on a measurement scale, for e.g. 2 ½ cm, between 2cm and 3cm.

Use standard units of measurement and appropriate tools to solve problems in real-life situations involving length, mass, capacity, temperature and area.

Tells time (analogue and digital) to the minute and investigates the relationship between units of time. Use am and pm notation and solve simple time problems.

Use timelines and calendars in real life situations.

Compares and orders several shapes and objects based on length, area, volume and capacity, using appropriate informal units. Compare masses of objects using balance scales.

Tells time to the quarter-hour, using the language of 'past' and 'to' and can name and order the months and seasons.

Use a calendar to identify the date and determine the number of days in each month.

http://www.australiancurriculum.edu.au/Glossary?a=M&t=Volume




Year Four PHASE FOUR Working Above Level (Proficient) Working At Level (Competent) Working Below Level (Developing)

Co

nst

ruct

ing

Mea

nin

g

Tran

sfer

rin

g M

ean

ing

Ap

ply

ing

Mea

nin

g

Number Uses the properties of odd and even numbers and an understanding of factors and multiples to solve problems. Investigates number sequences involving multiples of all single digit numbers.

Recognises, represents and orders numbers to millions, and uses understanding of place value, where needed to assist calculations and in solving problems.

Uses estimation and rounding to check the reasonableness of answers to calculations.

Demonstrates fast and accurate recall of basic facts and applies these in computation tasks.

Solves problems involving multiplication of large numbers by one- or two- digit numbers using efficient mental, written strategies and appropriate digital technologies.

Apply understanding of simple equivalent fractions to unfamiliar problems.

Investigates strategies to solve problems involving addition and subtraction of fractions with the same denominator.

Orders decimals and unit fractions and can locate them on a number line.

Solves simple and more complex problems involving purchases and the calculation of change, with and without the use of digital technologies. Creates simple financial plans.

Read, write, compare and order numbers of up to five digits using the base 10 place value system. (<, >, =)

Recognises, represents and orders numbers to at least hundreds of thousands.

Apply place value to partition, rearrange and regroup numbers to at least hundreds of thousands, where needed to assist calculations and solve problems. (ten thousands, thousands, hundreds, tens, ones)

Identify prime and composite numbers.

Identify square numbers.

Reads and writes numbers using Roman numerals.

Automatic recall of multiplication facts up to 10 x 10 including 0 and related division facts.

Identify and describe factors and multiples of a given number.

Recognise the result of multiplication as product and division as quotient.

Solving problems involving multiplication of large numbers by at least 2 digit numbers using efficient mental and written strategies (written algorithm) and appropriate digital technologies.

Solve problems involving division of large numbers by one digit numbers, including those that result in a remainder, using efficient mental and written strategies (written algorithm) and appropriate digital technologies.

Use estimation and rounding to check reasonableness of answers to questions.

Use the language of fractions (fraction, numerator, denominator, decimal, decimal point, equivalence, mixed number)

Investigates equivalent fractions in

Identifies odd and even numbers. Investigates number sequences involving multiples of 2, 3, 4, 5 and 10.

Recognises, models, represents and orders numbers to at least 10 000.

Applies place value concepts to partition, rearrange and regroup numbers to at least 10 000, and is beginning to use these to assist with calculations and solve familiar problems.

Recognises the connection between addition and subtraction and can recall addition facts for single-digit numbers and related subtraction facts.

Recalls most multiplication facts of two, three, five and ten and related division facts.

With support, represents and solves problems involving multiplication, using mental and written strategies and appropriate digital technologies.


Beginning to develop an understanding of the connection between fractions and decimals.












familiar contexts. Counts by quarters, halves and thirds, including with mixed numerals and is able to locate and represent these fractions on a number line.

Add and subtract fractions with the same denominator.

Recognises that the place value system can be extended to tenths and hundredths and can describe the connection between fractions and decimals.

Add and subtract decimals to hundredths or beyond.

Round decimals to the nearest whole number.

Read, write, compare and order percentages.

Make connections and convert between equivalent fractions, decimals and percentages.

Use fractions, decimals and percentages in real life situations.


Explore and describe number patterns resulting from performing multiplication and division. Use equivalent number sentences, involving addition and subtraction, to find unknown quantities.

Beginning to extend this to problems involving multiplication and division.

Describe, extend and create number patterns resulting from all four operations.

Describe, extend and create patterns with fractions and decimals.

Describe and represent the rules for patterns in a variety of ways (using words, charts and symbols)

Complete equivalent number sentences by calculating missing values.

Identify and use the order of operations.

Use the commutative and associative properties of addition and subtraction and the relationships between operations (addition/subtraction, addition/multiplication, subtraction/division, and multiplication/division) to solve problems.

Describe, continue, and create number patterns resulting from performing addition or subtraction. Can solve problems, by using number sentences for addition or subtraction.




Shape and Space Compares the areas of regular and irregular shapes, using informal means, and communicates findings. Connects three-dimensional objects with their nets and other two-dimensional representations.

Uses a grid reference system to describe locations. Interprets information in basic maps through use of scales, legends and directions.

Identifies and creates symmetrical patterns, pictures and shapes with and without digital technologies. Explores the effect the enlargement transformation has on two-dimensional shapes.

Compares and classifies angles as equal to, greater than or less than a right angle and can describe real-life examples of each.

Sort, draw and describe regular and irregular polygons (including quadrilaterals) and regular polyhedral.

Identify and draw parallel and perpendicular lines.

Describe and model congruency and similarity in 2D shapes.

Connect 3D shapes with their nets and other 2D representations and draw cross sections of 3D shapes.

Identify lines and axes of reflective and rotational symmetry and create symmetrical patterns, pictures and shapes including tessellation with and without digital technologies.

Describe translations, reflections and rotations of 2D shapes (slide, flip and turn) and use those transformations to solve problems.

Draw and classify angles as right, acute and obtuse.

Identify the arms and vertex of and angle.

Use simple maps and grid reference systems to represent positions, describe and follow routes.

Describe location of an object on a map using N, S, E, W, NW, SE, SW.

Requires materials and/or models to investigate the area of regular shapes. Can identify and draw two-dimensional objects accurately, with and without digital technologies.

Creates and interprets simple grid maps to show position and pathways.

Identify symmetry in the environment.

Identifies angles as measures of turn and compares angle sizes in everyday situations.

Data Handling Lists the outcomes of chance experiments involving equally likely outcomes. Begin to investigate the probabilities of those outcomes, using fractions.

Poses questions and collects data through effective use of survey questions and recording sheets.

Constructs and interprets displays, including column graphs, tables and picture graphs. Select the appropriate display for the data type and create displays with and without the use of digital technologies.

Evaluates the effectiveness of different displays in illustrating specific data.

Describes possible everyday events and orders their chances of occurring. Considers the number of possible outcomes.

Identify situations where one outcome cannot occur if the other outcome happens.

Identify events where the chance of one outcome will not be affected by the occurrence of another.

Express probability using simple fractions and percentages.

Selects and trials methods for data collection, including survey questions and recording sheets. Identify and compare

Conducts chance experiments, identifies and describes possible outcomes and recognises when variations occur in the results.

Identify questions or issues, identify select data sources and plan methods of data collection and recording.

Collects data, organises it into categories and creates displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies.

Interpret and compare data displays.

http://www.australiancurriculum.edu.au/Glossary?a=M&t=Angle







variation in results.

Using given or collected data, constructs suitable data displays, with and without the use of digital technologies. Creates and interprets tables, column graphs, diagrams, circle graphs (pie charts) including those where one picture represents many data values.

Evaluates the effectiveness of different displays in illustrating specific data.

Identify, describe and explain range and scale.

Analyse statistical data using range (lowest and highest value) and mode (most frequent answer).

Measurement Chooses appropriate units of measurement for length, area, volume, capacity and mass.

Converts between units of time, uses am and pm notation and solves time problems. Compares 12-hour and 24-hour time and converts between them.

Estimate, measure, compare and record lengths, masses, capacities and temperatures, using scaled instruments. Compare objects using standard metric units of area and volume. (m, cm, mm/kg, g/l, ml)

Estimate, measure, compare and record perimeter and area (m2 and cm2) using familiar metric units.

Develop and describe procedures for finding perimeter and area (the relationship between perimeter and area)

Converts between common metric units of capacity, mass, length and time (ml and

l/g and kg/mm, cm and m/h, min, sec)

Read and interpret scales on a range of measuring instruments.

Use decimal and fractional notation in measurement. E.g. 3.2cm, 1.4kg, 1½ m.

Select and use appropriate units of measurement and tools to solve problems in real life situations involving length, mass, capacity, perimeter and area.

Read and write analogue and digital time to the minute and second on 12 hour and 24 hour clocks.

Uses measures of time to assist with problem solving in real life situations.

Measures, orders and compares objects using familiar metric units of length, mass and capacity.

Tells time to the minute and investigates the relationship between units of time.



Use timelines and calendars in real life situations.


Year FIVE PHASE FIVE Working Above Level (Proficient) Working At Level (Competent) Working Below Level (Developing)

Co

nst

ruct

ing

Mea

nin

g

Tran

sfer

rin

g M

ean

ing

Ap

ply

ing

Mea

nin

g

Number Investigates and describes properties of factors, multiples, prime, composite, square and triangular


Solves unfamiliar problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental and written strategies.

Solves simple and more complex problems involving division by a one digit number, including those that result in a remainder.

Selects and applies mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers.

Connects fractions and decimals as different representations of the same number. Represent these on a number line.

Solves problems involving addition and subtraction of fractions, with the same denominator. Find a simple fraction of a quantity where the result is a whole number.

Solves unfamiliar problems involving financial transaction and plans. Developing an understanding of percentage discount on sale items.

Continues and creates sequences involving whole numbers, fractions and decimals and can describe the rule used to create the sequence.

Solves more complex word problems by using equivalent number sentences, involving multiplication and division, to find unknown quantities.

Identifies and describes factors and multiples of whole numbers and uses them to solve problems.



Solves problems involving division by a one digit number, including those that result in a remainder.

Uses efficient mental and written strategies and applies appropriate digital technologies to solve problems.

Orders decimals and unit fractions and can locate them on a number line.

Investigates strategies to solve problems involving addition and subtraction of fractions, with the same denominator.

Creates simple financial plans.

Continues and creates sequences involving multiples of single-digit numbers.

Uses equivalent number sentences, involving multiplication and division, to find unknown quantities.

Investigates and uses the properties of odd and even numbers and is able to identify factors and multiples with some assistance.

Investigates number sequences involving multiples of 3, 4,6,7,8 and 9. Recognises, represents and orders numbers to at least tens of thousands.

Apply place value to partition, rearrange and regroup numbers to at least tens of thousands, where needed to assist calculations and solve problems.

Apply recall of addition facts and related subtraction facts, to mental computation tasks. Recall most multiplication facts up to 10 x 10 and related division facts.

Developed efficient mental and written strategies for multiplication and division where there is no remainder. Uses appropriate digital technologies for these tasks.

Counts by quarters, halves and thirds, including with mixed numerals and is able to locate and represent these fractions on a number line. Recognises that the place value system can be extended to tenths and hundredths and describes the connection between fractions and decimals.

Solves problems involving purchases and the calculation of change to the nearest five cents, with and without digital technologies.

Explore and describe number patterns resulting from performing multiplication. Use equivalent number sentences, involving addition and subtraction, to find unknown quantities. Extend this to problems involving multiplication and division.

Pattern and Function Describe, extend and create patterns involving whole numbers, fractions and decimals using tables, graphs, words, and when possible symbolic rules.

Describe, extend and create number patterns resulting from all four operations.

Describe, extend and create patterns with fractions and decimals.

http://www.australiancurriculum.edu.au/Glossary?a=M&t=square

http://www.australiancurriculum.edu.au/Glossary?a=M&t=Denominator

http://www.australiancurriculum.edu.au/Glossary?a=M&t=fraction

http://www.australiancurriculum.edu.au/Glossary?a=M&t=whole+number



Describe the rule used to create the pattern.

Complete simple equations including using letters to represent the quantity. (5+y=24, ½ of x = 5)

Explore the use of brackets and order of operations to write number sentences.

Identify and model exponents as repeated multiplication. (3 squared is 3 x 3, 4 cubed is 4 x 4 x 4)

Identify and model the inverse relationship between exponents and roots (3 squared is the square root of 9)

Solve real life problems applying the understanding of patterns and the four operations.

Describe and represent the rules for patterns in a variety of ways (using words, charts and symbols)

Complete equivalent number sentences by calculating missing values.

Identify and use the order of operations.

Use the commutative and associative properties of addition and subtraction and the relationships between operations (addition/subtraction, addition/multiplication, subtraction/division, and multiplication/division) to solve problems.

Shape and Space Uses a grid reference system to find and describe locations.

Investigates the effects of the enlargement transformation on a variety of two dimensional shapes.

Explores simple translations, reflections and rotations.

Connects three-dimensional objects with their nets and other two-dimensional representations. Draw nets for simple three-dimensional shapes.

Describe and compare lines, rays and segments.

Identify and draw diagonals on 2D shapes.

Identify parts of a circle (centre, radius, diameter, circumference, sector, semicircle and quadrant)

Compare and describe properties of right-angled, equilateral, isosceles and scalene triangles.

Classify angles as acute, right, obtuse, straight, reflex or revolution. Compare angles in different 2D shapes. Uses a grid reference system to describe locations. Describes routes using landmarks and directional language. Use scale to calculate the distance between two points on a map. Use 2D representations of 3D objects to visualize and solve problems in the real

Make simple models of three-dimensional objects and describe the key features.

Uses simple scales, legends and directions to interpret information contained in basic maps

Creates symmetrical patterns, pictures and shapes with and without digital technologies.


world, e.g. through the use of drawing and modeling.

Applies the enlargement transformation to familiar two dimensional shapes and is able to compare the resulting image with the original. (ratio)

Solve problems relating to shape and space using geometric tools and methods.

Data Handling Poses questions, collects categorical or numerical data by observations and surveys, and creates simple displays to communicate the findings.

Interprets and compares a range of data displays, including side-by-side column graphs for two categorical variables.

Describes simple probabilities using fractions or decimals and can conduct chance experiments, and compare the observed frequencies with expected frequencies.

Poses questions and collects categorical or numerical data by observations and surveys, compares observed frequencies across experiments (experimental probability) with expected frequencies (theoretical probability) and explain the difference.

Constructs and interprets displays, including column graphs, dot plots, line graphs and circle graphs and side by side column/bar graphs for two categorical variables.

Select the appropriate display for the data type and create displays with and without the use of digital technologies.

Interpret secondary data presented in digital media and elsewhere.

Analyse statistical data using range (lowest and highest value), mode (most frequent answer), and median (middle value) and mean (average).

Lists outcomes of chance experiments involving equally likely outcomes and can represent probabilities of those outcomes using fractions (fractions, decimals), scale (0-1) or percent (0% - 100%)

Create and manipulate an electronic database for own purposes, including the setting up of spreadsheets and using simple formulas to create graphs.

Selects and trials methods for data collection, including survey questions and recording sheets. Using given or collected data, constructs suitable data displays, with and without the use of digital technologies.

Creates and interprets tables, column graphs and picture graphs, including those where one picture represents many data values. With support, describes the effectiveness of different displays in illustrating specific data.

Describes possible everyday events and orders their chances of occurring. Identify situations where one outcome cannot occur if the other outcome happens.

Identify events where the chance of one outcome will not be affected by the occurrence of another.

Measurement Connects decimal representations to the metric system and can accurately convert between common metric units of length, mass and capacity.

Solves increasingly complex problems involving the comparison of lengths and areas using appropriate

Estimate, measure, compare and record lengths, masses and capacities using standard units (km, m, cm, mm/kg, g/l, ml).

Estimate, measure, compare and record

Measure and compare lengths, masses, capacities and temperatures, using scaled instruments.

Compare objects using familiar metric units of area and volume.

http://www.australiancurriculum.edu.au/Glossary?a=M&t=data

http://www.australiancurriculum.edu.au/Glossary?a=M&t=decimal

http://www.australiancurriculum.edu.au/Glossary?a=M&t=capacity


units. Uses 12-hour and 24-hour time confidently and can interpret and use timetables with ease.

perimeter, area and volume using familiar metric units.

Develop and describe formulas for finding perimeter, area and volume (the relationship between area and perimeter; area and volume).

Connect volume and capacity and their units of measurement (the relationship between volume and capacity).

Convert between common metric units of capacity, mass, length and area (ml and l/g and kg/mm, cm. m and km/ha and m2).

Read and interpret scales on a range of measuring instruments.

Use decimal and fractional notation in measurement, e.g. 3.2cm, 1.47kg and 1 ½ m.

Estimate, compare, measure and construct angles in degrees using a protractor.

Select and use appropriate units of measurement and tools to solve problems in real-life situations involving length, mass, capacity, perimeter, area and volume.

Read and write digital and analogue time on 12 hour and 24 hour clocks. Compare 12 and 24 hour systems and convert between them.

Determine times worldwide and compare various time zones.

Use measures of time to assist with problem solving in real-life situations.

Use timelines, calendars, schedules and timetables in real-life situations.

Converts between units of time, uses am and pm notation and solves simple time problems.


Year SIX Working Above Level Working At Level Working Below Level

A B C D E

Un

der

stan

din

g an

d S

kills

Dim

ensi

on

Un

der

stan

din

g an

d F

luen

cy

Number and Place Value Fractions and Decimals Money and Financial Mathematics

Accurately identifies and describes the properties of prime, composite, square and triangular numbers and applies these in problem solving situations. Selects and applies efficient mental and written strategies and appropriate digital technologies to solve simple and more complex problems, involving all four operations with whole numbers.

Investigates everyday situations that use integers. Compare and order these numbers and locate and represent them on a number line.

Solves problems involving addition and subtraction of fractions with the same denominator, and is exploring strategies for working with unrelated denominators.

Locate a fraction of a quantity where the result is a whole number, with and without the use of digital technologies.

Adds and subtracts decimals, with and without digital technologies, and independently uses estimation and rounding to check answers.

Multiplies and divides fractions and decimals using efficient written strategies and digital technologies. Connects equivalent fractions, decimals and percentages and carries out simple conversions.

Explore the concept of ratio in everyday situations. Investigates and calculates 'best buys', involving discounts of 10%, 25% and 50%, with and without the use of digital technologies.

Identifies and describes properties of prime, composite, square and triangular numbers.

Selects and applies mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers.

Investigates everyday situations that use integers and locates and represents these numbers on a number line.

Solves problems involving addition and subtraction of fractions with the same or related denominators.

Finds a simple fraction of a quantity where the result is a whole number, with and without the use of digital technologies.

Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers.

Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies. Multiplies and divides decimals by powers of 10 and makes connections between equivalent fractions, decimals and percentages.

Investigates and calculates percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies.

Identifies and describes factors and multiples of whole numbers and uses them to solve problems. Identifies numbers as prime and composite.


Solves problems involving division by a one digit number, including those that result in a remainder. Uses estimation and rounding to check the reasonableness of answers to calculations.

Identifies integers in some everyday situations.

Investigates strategies to solve simple problems involving addition and subtraction of fractions, with the same denominator.

Find a simple fraction of a quantity where the result is a whole number.

Orders decimals and unit fractions and can locate them on a number line. Add and subtract decimals with and without digital technologies.

Multiply decimals by whole numbers with digital technologies. Multiply and divide decimals by powers of 10 and make some connections between equivalent fractions, decimals and percentages.

Solves simple problems involving financial transactions and plans. Investigate percentage discount on sale items

Patterns and Algebra Accurately continues and creates sequences involving whole numbers, fractions and decimals and independently describes the rule used to create the sequence.

Uses brackets and order of operations to write number sentences.

Continues and creates sequences involving whole numbers, fractions and decimals and can describe the rule used to create the sequence.

Explores the use of brackets and order of operations to write number sentences.

Continues and creates sequences involving multiples of single-digit numbers. Describe sequences involving fractions and decimals, the rule used to create the sequence. Uses equivalent number sentences, involving multiplication and division, to find unknown




http://www.australiancurriculum.edu.au/Glossary?a=M&t=rounding


http://www.australiancurriculum.edu.au/Glossary?a=M&t=number+line

http://www.australiancurriculum.edu.au/Glossary?a=M&t=related+denominators



http://www.australiancurriculum.edu.au/Glossary?a=M&t=rounding

http://www.australiancurriculum.edu.au/Glossary?a=M&t=equivalent+fractions


http://www.australiancurriculum.edu.au/Glossary?a=M&t=percentage





http://www.australiancurriculum.edu.au/Glossary?a=M&t=order+of+operations

http://www.australiancurriculum.edu.au/Glossary?a=M&t=number



http://www.australiancurriculum.edu.au/Glossary?a=M&t=number


quantities.

Shape and Space Constructs three-dimensional objects including prisms and pyramids.

Investigates more complex combinations of translations, reflections and rotations, with and without the use of digital technologies.

Constructs simple prisms and pyramids.

Investigates combinations of translations, reflections and rotations, with and without the use of digital technologies.

Connects three-dimensional objects with their nets and other two-dimensional representations.

Applies the enlargement transformation to familiar two-dimensional shapes and is able to compare the resulting image with the original.

Describes one-step transformations, including translations, reflections and rotations.

Data Handling and Chance

Represents probabilities using fractions, decimals and percentages and can independently conduct chance experiments with both small and large numbers of trials using appropriate digital technologies.

Compares observed frequencies across experiments with expected frequencies. Describes findings using appropriate mathematical terms.

Interprets and compares a range of data displays, including side-by-side column graphs for two categorical variables and is able to interpret and evaluate secondary data presented in digital media and elsewhere. Investigating the use of mean, median and range in the interpretation of data sets.

Describes probabilities using fractions, decimals and percentages and can conduct chance experiments with both small and large numbers of trials using appropriate digital technologies.

Compares observed frequencies across experiments with expected frequencies.

Interprets and compares a range of data displays, including side-by-side column graphs for two categorical variables and is able to interpret secondary data presented in digital media and elsewhere.

Lists outcomes of chance experiments involving equally likely outcomes and can represent probabilities of those outcomes using fractions. Describes simple probabilities using decimals and percentages.

Constructs and interprets displays, including column graphs, dot plots and tables. Select the appropriate display for the data type and create displays with and without the use of digital technologies. Interpret some secondary data presented in given digital media.

Measurement Connects decimal representations to the metric system and can accurately convert between common metric units of length, mass and capacity. Solves increasingly complex problems involving the comparison of lengths and areas using appropriate units.

Makes clear connections between volume and capacity and their units of measurement and can interpret and use timetables independently.

Connects decimal representations to the metric system and can convert between common metric units of length, mass and capacity. Solves problems involving the comparison of lengths and areas using appropriate units.

Connects volume and capacity and their units of measurement and can interpret and use timetables.

Chooses appropriate units of measurement for length, area, volume, capacity and mass. Complete simple conversions between common metric units of length, mass and capacity.

Converts between units of time, uses am and pm notation and solves time problems. Compares 12-hour and 24-hour time and convert between them.

Use of Problem Solving Strategies and Modelling

Systematically applies problem-solving strategies and mathematical modelling to represent and investigate simple, familiar situations and those that are more complex.

Applies problem-solving strategies and mathematical modelling to represent and investigate simple, familiar situations.

Employs problem-solving strategies and mathematical modelling to investigate simple situations.

http://www.australiancurriculum.edu.au/Glossary?a=M&t=frequencies










http://www.australiancurriculum.edu.au/Glossary?a=M&t=volume




http://www.australiancurriculum.edu.au/Glossary?a=M&t=volume



Year SEVEN Working Above Level Working At Level Working Below Level

A B C D E

Un

der

stan

din

g an

d S

kills

Dim

ensi

on

Un

der

stan

din

g an

d F

luen

cy

Number and Place Value Fractions and Decimals Money and Financial Mathematics

Investigates index notation and accurately represents whole numbers as products of powers of prime numbers.

Applies the associative, commutative and distributive laws to aid mental and written computation and can compare, order, add and subtract integers.

Solves difficult and complex problems involving addition and subtraction of fractions, including those with unrelated denominators.

Multiplies and divides fractions and decimals using efficient written strategies and digital technologies.

Expresses one quantity as a fraction of another, without the use of digital technologies. Connects fractions, decimals and percentages and carries out simple and more complex conversions.

Finds percentages of quantities and expresses one quantity as a percentage of another, with and without the use of digital technologies. Recognises and solves problems involving simple ratios.

Investigates index notation and represents whole numbers as products of powers of prime numbers.

Applies the associative, commutative and distributive laws to aid mental and written computation and can compare, order, add and subtract integers.

Solves problems involving addition and subtraction of fractions, including those with unrelated denominators.

Multiplies and divides fractions and decimals using efficient written strategies and digital technologies.

Expresses one quantity as a fraction of another, with and without the use of digital technologies. Connects fractions, decimals and percentages and carries out simple conversions.

Finds percentages of quantities and expresses one quantity as a percentage of another, with and without digital technologies. Recognise and solve problems involving simple ratios. Investigates and calculates 'best buys', with and without digital technologies.

Understands power notation in familiar contexts.

Limited range of strategies to aid mental and written computation and requires support to compare, order, add and subtract integers.

Solve simple problems involving the addition and subtraction of fractions.

Multiplies and divides fractions and decimals using some written strategies and digital technologies.

Connect simple fractions, decimals and percentages but requires support to to carry out simple conversions.

Understands percentage discounts and cost comparisons but cannot yet determine 'best buys', using digital technologies to assist with calculations.

Patterns and Algebra

Extends and effectively applies the laws and properties of arithmetic to complex algebraic terms and expressions.

Extends and applies the laws and properties of arithmetic to algebraic terms and expressions.

Identifies some of the laws and properties of arithmetic and is beginning to apply these to simple algebraic terms and expressions.

Chance Constructs sample spaces for single-step experiments with equally likely outcomes. Determines and assigns probabilities to the outcomes of events.

Lists some of the possible outcomes for single-step experiments. Determines some of the outcomes of events and assign probabilities.

Linear and non-linear relationships

Given coordinates, can accurately plot points on the Cartesian plane, and readily identify the coordinates for a given point. Solves simple and more complex linear equations and investigates, interprets and analyses graphs from authentic data.

Given coordinates, can plot points on the Cartesian plane, and find coordinates for a given point. Solves simple linear equations and investigates, interprets and analyses graphs from authentic data.

http://www.australiancurriculum.edu.au/Glossary?a=M&t=index

http://www.australiancurriculum.edu.au/Glossary?a=M&t=associative

http://www.australiancurriculum.edu.au/Glossary?a=M&t=commutative

http://www.australiancurriculum.edu.au/Glossary?a=M&t=distributive+



http://www.australiancurriculum.edu.au/Glossary?a=M&t=index

http://www.australiancurriculum.edu.au/Glossary?a=M&t=associative

http://www.australiancurriculum.edu.au/Glossary?a=M&t=commutative

http://www.australiancurriculum.edu.au/Glossary?a=M&t=distributive+



http://www.australiancurriculum.edu.au/Glossary?a=M&t=sample

http://www.australiancurriculum.edu.au/Glossary?a=M&t=equally+likely+outcomes

http://www.australiancurriculum.edu.au/Glossary?a=M&t=point


http://www.australiancurriculum.edu.au/Glossary?a=M&t=point



Location and Transformation

Describes and creates translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identifies line and rotational symmetries in a variety of contexts.

Describes translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identifies line and rotational symmetries.

Uses materials to support thinking when asked to describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane.

Data Representation and Interpretation

Identifies and investigates issues involving numerical data collected from primary and secondary sources. Construct and compare a range of data displays including stem-and-leaf plots and dot plots.

Describes and interprets data displays using median, mean and range, then calculate the mean, median, mode and range for these sets of data and interpret those statistics in the context of data.

Measurement Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving.

Calculate the volume of rectangular prisms.

Use of Problem Solving Strategies and Modelling

Applies problem-solving strategies and mathematical modelling and representation to investigate simple, familiar situations and those that are more complex.

Applies problem-solving strategies to investigate simple familiar situations and implements mathematical modelling and representation to simple familiar situations.

Uses some rehearsed problem-solving strategies and mathematical modelling to investigate simple familiar situations.

Communication and justification of results, explanation of mathematical thinking, choices and strategies

Shares mathematical thinking, including a justification of choices made and the variety of strategies used and is able to verify answers.

Describes and compares the results of, and conclusions reached, in investigations and inquiries.

Shares mathematical thinking, including discussion of choices made and a strategy used and is able to check answers.

http://www.australiancurriculum.edu.au/Glossary?a=M&t=numerical+data



http://www.australiancurriculum.edu.au/Glossary?a=M&t=median

http://www.australiancurriculum.edu.au/Glossary?a=M&t=mean

http://www.australiancurriculum.edu.au/Glossary?a=M&t=mean

http://www.australiancurriculum.edu.au/Glossary?a=M&t=median

http://www.australiancurriculum.edu.au/Glossary?a=M&t=mode



Documents

ISS PRIMARY PYP MATHEMATICS SCOPE AND SEQUENCE – …internationalschoolsuvaprimary.weebly.com/uploads/2/3/1/5/231567… · ISS PRIMARY PYP MATHEMATICS SCOPE AND SEQUENCE – aligned