Foundation Level Two Tier GCSE Mathematics · Web view6 F6actions 2 – different denominators, multiplying, dividing 5/7 Angle properties of triangles, quadrilaterals, parallel lines

GCSE EDEXCEL Linear Foundation Tier SOW – W2, W3 & W4Functional Maths:

Functional maths must be embedded in all lessons throughout Year 10 and Year 11 – many of the new exam style questions will be functional maths based.

The interactive textbooks have some good functional maths questions that can be used in lessons.

Functional maths tasks are hyperlinked on the SOW and can be printed directly from there – these tasks must be carried out.

Financial Capability:

All year 10 will have 6 financial capability tasks. There is one task per half term.

These are detailed below and hyperlinked to the appropriate folder. Please familiarise yourself with the content prior to delivery.There is one per half term – it des not really matter where in the half term they are delivered; but they MUST be delivered.

First half of Autumn Term – Financial Capability task 1Second half of Autumn Term – Financial Capability task 2Spring Term – Financial Capability task 3Summer Term – Financial Capability task 4

Investigations:

Using and applying mathematics is done throughout the lessons and SOW in Year 10 and Year 11; however – there are three investigations to be carried out during Year 10 – one per term. They can be completed at any time during the term; but towards the end of each term is usually preferable.

Edexcel Linear Two-Tier GCSE Mathematics - Medium Term Plan

GCSE EDEXCEL Linear Foundation Tier SOW – W2, W3 & W4

Number of lessons is a guide – Functional Mathematics must be introduced by Teacher’s throughout lessons and the number of lessons allocated allows for this.

YEAR 10

TERM Number of lessons Topic FM Tasks / investigationsYear 10 EXAMS ARE FIRST WEEK OF SUMMER TERM

Autu

mn

6 Whole Numbers and calculations Activity holiday in Wales5/6 Fractions 1 In the trenches3 Negative numbers Negative numbers game5/6 Statistical representation 1 Reporting the weather6 Coordinates, reading scales, time and nets

Learning review 13 Probability5/6 Whole numbers 26 Number properties 1 Creating an allotment6 Measures - units4 Algebra 1

Learning review 2Xmas Break

Sprin

g

8 Decimals In the gym5 Angles 13 Small data sets5/6 Perimeter & area of rectangles

Learning review 36 FDP’s2/3 Transformations 1 – line symmetry / rotational symmetry3 Collecting data4/5 Sequences6 Accurate drawing, tessellation and special quadrilaterals

Easter

Year 10 Exams – Are a few weeks after Easter


GCSE EDEXCEL Linear Foundation Tier SOW – W2, W3 & W4

Sum

mer

6 F6actions 2 – different denominators, multiplying, dividing5/7 Angle properties of triangles, quadrilaterals, parallel lines &

bearings6 Algebra – expanding, factorising, substitution, writing expressions4/5 3D solids6 Ratio & proportion Planning a dinner party¾ Percentages6 Area – triangles, parallelograms, trapezium, compound shapes

SUMMER HOLIDAYS


GCSE EDEXCEL Linear Foundation Tier SOW – W2, W3 & W4YEAR 11

Number of lessons is a guide – Functional Mathematics must be introduced by Teacher’s throughout lessons and the number of lessons allocated allows for this.

TERM Number of lessons Topic Functional MathsYear 11 MOCK EXAMS ARE FIRST WEEK OF DECEMBER

Autu

mn

7 Linear equations7 Compound measures – SDT and MDV5 Representing data 2 – Scatter graphs, pie charts7 Probability 2 – relative frequency, expectation, sample space

diagrams, two way tables.Estimating grades

4 Angles in polygons Origami7 Transformations – all four and combined

Yr 11 Mock Exams at End November / Beginning of December

Xmas Break

Sprin

g

6 Algebra – double brackets, formula, writing equations and solving, trial and improvement of squares and cubics

5 Circles – area and perimeter4 Properties of number 2 – powers, HCF, LCM, index laws6 Volume and surface area4 Statistics – frequency and grouped frequency tables Fishing competition in Avon4 Pythagoras4 Linear graphs4 Scale factors – similar shapes, map scales A place in the sun4 Drawing quadratic curves

Learning review T3A

Target teaching topics from mock examination analysis here.Following targeting teaching from Mock results begin GCSE revision.

Note: Teacher’s must ensure 4 weeks available for revision before examinations begin.

EasterYear 11 Exams BEGIN MID MAY

YEAR 10


GCSE EDEXCEL Linear Foundation Tier SOW – W2, W3 & W4The number of lessons allocated is a guide. It is important to enrich the curriculum and ensure Functional Mathematics is embedded throughout the topics.

Financial capability task 1 and task2 must be covered during the autumn term (Click on task for hyperlink)Investigation – “Borders” must be completed this term

General Topic No. of lesson

s

Objectives

Students should be able to …

Grade Notes Enrichment / FM

Aut

umn

Term

, Yea

r 10

Whole numbers 1 6 Identify the place value digit of any number Read and write large numbers Add and subtract whole numbers including numbers in grids Use row and column totals to find missing numbers in grids Multiply and divide numbers by a single digit number Understand simple instances of BIDMAS, e.g. work out 12 5 –

24 8, including powers and putting brackets in. Multiply and divide whole numbers by a given multiple of 10 Round whole numbers to the nearest, 10, 100, 1000, … Check their calculations by rounding to nearest 10, 100 & 1000,

e.g. 29 31 30 30 Check answers by reverse calculation, e.g. if 9 23 = 207 then

207 9 = 23

GGG

GF-E

GGGFF

Much practice at the basics to ensure competence – otherwise students will struggle with higher grade work later on

Remind (-2)2 must go in brackets in calculator

FM: Activity holiday in Wales .

Fractions 1 6 Understand a fraction as part of a whole Recognise a fraction of a shape and shade a fraction of a shape Recognise equivalent fractions using diagrams Find equivalent fractions and simplify fractions by cancelling down Add and subtract fractions with same denominator – simplifying

result Write an improper fraction as a mixed fraction and vice versa Find a fraction of a quantity know that 2/3 of 12 means 2/3 x 12 Write one number as a fraction of another

G-F

GG-F

FF-ED

FM: In the trenches

Negative numbers 3 Use negative numbers in real life Use a number line and inequalities to represent negative numbers Add & subtract negative numbers to positive & negative numbers

G-FG-F

F

Temperature, below sea level, bank accounts etc.-2<3 etc.

FM: The negative number game

Statistical representation 1

5 Represent discrete/ grouped data in tally charts & frequency tables Represent and interpret data in pictograms Represent and interpret data in bar charts Represent and interpret data in line graphs Represent information in a frequency polygon Draw and read information from stem and leaf diagram

G-EG-F

FE-DD

E-D

Grouped data as in 1-5 not with inequality signs

FM: Reporting the weather


GCSE EDEXCEL Linear Foundation Tier SOW – W2, W3 & W4General Topic No. of

lessons

Objectives


Grade Notes Enrichment / FMA

utum

n Te

rm, Y

ear 1

0

Geometry & measure: Coordinates, time, nets & Scales

6 Plot and read coordinates on a coordinate grid (in all four

quadrants) Find the coordinates of the fourth vertex of a quadrilateral, or 3rd

vertex of a triangle Read and interpret scales accurately Do calculations involving time (both 24 hour and analogue),

including the use of time tables and calendars Make sensible estimates using standard measures Drawn and recognise nets of 3D solids

F

F

FG-F

FF-EE-D

4th vertex of parallelogram a favourite

Learning Review 1

Probability 3 Use the language of probability to describe the likelihood of an event

Represent and compare probabilities on a number scale List outcomes for single mutually exclusive events and write down

their probability

G

FF

Whole number s 2 5-6 Multiply a 2 digit number by a 2 and 3-digit number using any method

Divide a 3 digit number by a 2-digit number Decide whether to round up or down after division Multiply and divide negative numbers

F-E

F-E

E

Common GCSE question – how many buses, how many complete boxes

Number properties 1

6 Find and recognise multiples of whole numbers Find the lowest common multiple of two 2 digit numbers Identify all factors of a number Find highest common factor of two 2-digit numbers Understand definition of a prime number and identify all prime

numbers. Identify square numbers and their corresponding square roots up

to 15x15 Know how to use squared and square root button on calculator Know powers are a convenient way of writing repetitive

multiplications. Know squared is power of 2 and cubed is power of 3. Calculate single powers of whole numbers and know how to use

calculator to find powers of whole numbers

G-FDFDE

F-E

F-EE

E

E

By Writing out tables

Needs to know all primes up to 47 for GCSE exam

Will need to be able to do 15x15 for GCSE non-calculator exam

Expected to know 1 to 5 and 10 cubed for GCSE non-calculator exam

FM: Creating your own allotment



lessons

Objectives



utum

n Te

rm Geometry &

measures: Measuring units

5-6 Decide which metric units to use when measuring length, weight

and capacity Convert one metric unit to another Know common imperial units of measurement Convert one imperial unit to another imperial unit Use approximate conversions to convert imperial and metric units. Solve word problems using conversion factors

G-F

F

EF-ED

Inches, feet, yards, pounds, ounces, pints and gallons

Introduction to algebra

4 Understand that rules for arithmetic apply when using algebra. Know difference between an expression, equation and formula Write simple algebraic expressions Simplify algebraic expressions by multiplying terms Simplify algebraic expressions by collecting like terms. Find perimeter of 2D shapes using algebra by collecting like terms

E-D

E-DE to D

D

4 more than x is x+4, 5 multiplied by a is 5a etc.

Review 2XMAS BREAK

Financial capability task 3 must be completed during the Spring term (Click on task for hyperlink)Investigation – “Manhattan Cops” must be completed this Spring term

Sprin

g Te

rm Y

r 10

Decimals8

Write decimals in ascending order of size Add and subtract decimals, solve money problems. Multiply and divide decimals by 10, 100, 1000 Multiply and divide decimals by a single digit whole number Round integers & decimals to a given number of decimal places Round integers and decimal to 1 significant figure. Estimate calculations by rounding to 1 significant figure, and write

down all numbers displayed on a calculator Multiply a decimal by a 2 digit whole number (eg 4.27 x 34) Multiply two decimal numbers (eg. 2.2 x 4.6 and 2.13 x 3.4) Divide a number by a decimal knowing that 13.5 0.5 = 135 5

GFFE

D/CD/C

D-CDDD

Stress use of word estimate

FM: In the gym

Angles 1 4-5

Distinguish between acute, obtuse, reflex and right angles Estimate the size of an angle in degrees Measure and draw angle to the nearest degree Use angle properties on a line and at a point to calculate unknown

angles Use angle properties to calculate angles in a triangle, including

external angle Use angle properties to calculate angles in a quadrilaterals

GGFF

E

E

Small data sets 3 Find the mode or the median for (small) sets of discrete data Find the mean and the range for (small) sets of discrete data Know the advantages/disadvantages of using the different

measure of average

GF

E-D



lessons

Objectives


Grade Notes Enrichment / FMSp

ring

Yr 1

0

Geometry: Perimeter and area 1

4-6 Calculate the perimeter of a rectangle and shapes made up of rectangles

Estimate the area of irregular shapes by counting squares Use the formula to find the area of a rectangle Solve word problems involving area and perimeter of rectangles Calculate the area of compound shapes made up of rectangles

G-F

GF

F-ED

Learning review 3

Fractions, decimals & percentages

4-6 Convert a percentage to a decimal and vice versa Convert a percentage to a fraction in its simplest form Convert a decimal to a fraction in its simplest form Convert a fraction to a decimal Convert a fraction to a percentage Know common equivalences between fraction, decimal and

percentages Write one number as a percentage of another number

GGGGGD

E-D

Transformations 1 2-3 Reflect a shape in a horizontal, vertical and diagonal mirror line Identify lines of symmetry in 2D shapes Identify the order or rotational symmetry of a 2D shape Enlarge a shape by a positive scale factor on squared paper

GG

G-FF

Collecting data 2-3 Design a suitable question for a questionnaire with response boxes Criticize a questionnaire Understand the difference between: primary and secondary data;

discrete and continuous data Design suitable data capture sheets for surveys and experiments Understand about bias in sampling and know what is meant by

random sampling.

DDD

G – ED

Patterns and sequences

4 – 5 Find the missing numbers in a number pattern or sequence Given the general rule, generate the first 5 numbers in a sequence Find the nth term of a number sequence Find whether a number is part of a given sequence Generate sequences from practical context, and find general rule

for practical contexts

GECD

D-C



lessons

Objectives



Geometry: Drawing and constructing 2-D shapes, special quadrilaterals, tessellation

6 Use a ruler and compass to draw accurate triangles, given

information about their side lengths and angles. Use straight edge and compass to construct: an equilateral

triangle; the midpoint and perpendicular bisector of a line segment; the bisector of an angle

Find the locus of points e.g. the locus of points equidistant to two given points

Understand when two shapes are congruent Recall properties of equilateral, isosceles and right-angled triangles Recall the properties of squares, rectangles, parallelograms,

trapeziums and rhombuses Name all parts of a circle and draw a circle accurately with

compass, given r or d. Understand the meaning of tessellation and tessellate a shape at

least 6 times. Appreciate why some shapes tessellate and why some shapes do

not tessellate

D

C

CCF

F-E

F-E

E

D

EASTER BREAK

Year 10 Exams are a few weeks after EasterFinancial capability task 4 must be completed during the Summer term (Click on task for hyperlink)

Investigation – “Mobile Phones” or “T totals” must be completed this Summer term

Sum

mer

Yr 1

0 Fractions 25 – 6

Convert a fraction to a recurring decimal (1/3, 2/3, 1/9 etc) Find the reciprocal of whole numbers, fractions, and decimals, e.g.

find the reciprocal of 0.4 Use equivalent fractions to show which of two fractions is larger Add and subtract fractions with different denominators, including

mixed fractions Multiply a number with a fraction Multiply and divide a fraction with a fraction (expressing the answer

in its simplest form, including mixed fractions

E-DC

DD-C

DD-C

Common exam question – which is larger 2/3 or 3/5? Must use equivalent fractions to show this.

Angle properties of triangles, quadrilaterals and parallel lines

5 – 7 Measure a bearing (acute, obtuse and reflex) Calculate bearings Mark parallel lines in a diagram Find missing angles using properties of corresponding angles and

alternate angles, giving reasons Find the three missing angles in a parallelogram when one of them

is given Identify and list the angle properties of special quadrilaterals

(including kites

FE-D

D

CC



lessons

Objectives


Grade Notes Enrichment / FMSu

mm

er Y

r 10

Algebra: expressions, formula and equations

6 Expand a single bracket Expand and simplify brackets Factorise an expression by taking out a common factor Substitute numbers into an expression and formula Solve perimeter or angle problems of 2D shapes by writing an

expression, and then solving it.

D-CD-C

DD

D-C

3(t + 2) + 4t; 2a(a+3) + 2a2 3(a – 1) + 2(a + 2)

Typically – write expression for perimeter in terms of x, then given P – find x.

3-D shapes 4 – 5 Count the vertices, faces and edges of 3-D shapes Draw cuboids and shapes made from 1cm cubes onto isometric

paper Draw and interpret plans and elevations, including those of shapes

made of 1cm cubes on isometric paper. Draw planes of symmetry in 3-D shapes Recognise and name examples of solids, including prisms, in the

real world.

E-D

D

D

D-CD

Ratio and proportion

5 – 6 Understand what is meant by ratio Write a ratio in its simplest form; and find an equivalent ratio Share a quantity in a given ratio Solve ratio problems when only part of the information is given Use unitary ratio to solve problems – recipes, best buys Understand and use examples in direct proportion Interpret map/model scales as a ratio

DCCDD

D-CEg. 8 pens cost 64p how much does 18 pens cost

FM: Planning a dinner party

Percentages3-4

Calculate the percentage of a given amount Calculate a percentage increase and decrease Calculate simple compound interest of 2 or more periods of time

DDC

Geometry: Perimeter and area

6 Use the formula to find the area of a triangle Use the formula to find the area of a parallelogram Use the formula to find the area of a trapezium Find the perimeters and areas of shapes made up from triangles

and rectangles Solve a range of problems involving areas Convert between units of area

DDD

D-C

DD

Work experience – 1 weekSummer break

YEAR 11


GCSE EDEXCEL Linear Foundation Tier SOW – W2, W3 & W4The number of lessons allocated is a guide. It is important to enrich the curriculum and ensure Functional Mathematics is embedded throughout the topics.

YEAR 11

Mock Exams are first week of December

General Topic No. of lesson

s

Objectives



Aut

umn

Term

Yr 1

1

Linear equations 5 – 7 Solve linear equations with one, or more, operations – unknown on one side only

Solve linear equations involving a single pair of brackets, unknown on one side only

Solve linear equations with unknowns on both sides Solve linear inequalities in one variable and present the solution

set on a number line

E to D

D

CD-C

Review expanding a single bracket

Compound measures:

5-7 Convert from one unit to another using a conversion graph Interpret and draw speed distance time graphs Convert fractions of an hour to minutes and vice versa Use the relationship between distance, speed and time to solve

problems Convert between metric units of speed e.g. km/h to m/s Know that density is found by mass ÷ volume Use the relationship between density, mass and volume to solve

problems Convert between metric units of density e.g. kg/m to g/cm

E-DD-C

D-C

D-CCC

C

Representing data 2

4-5 Represent categorical data in a pie chart Interpret categorical data in a pie chart Draw and produce a scatter graph Appreciate that correlation is a measure of the strength of

association between two variables Distinguish between positive, negative and zero correlation using a

line of best fit Draw lines of best fit by eye and understand what it represent Use line of best fit to make estimates

D-C

C

C

CC



lessons

Objectives



utum

n Te

rm Y

r 11

Probability 2 6 – 7 Write down the theoretical probability for an equally likely event Know the sum of the probabilities of all possible mutually exclusive

events is 1 or 100% Know that the probability of an event not happening is 1 – p(event

happening) Use two way tables to calculate probabilities Use sample space diagrams to list all possible outcomes of two

events occurring at the same time, and use to calculate probabilities.

Calculate probabilities of two or more mutually exclusive events knowing p(A) or p(B) = p(A) + p(B)

Estimate a probability by relative frequency Know that a better estimate for a probability is achieved by

increasing the number of trials Predict the expected number of successes from a given number of

trials if the probability of one success is known (expectation)

E

DD

D-C

C

C

FM: Estimating grades

Angle properties of polygons

3-4 Calculate and use the sums of the interior angles of convex polygons of sides 3, 4, 5, 6, 8, 10

Know, or work out, the relationship between the number of sides of a polygon and the sum of its interior angles

Know that the sum of the exterior angles of any polygon is 360 degrees

Find the size of each exterior/interior angle of a regular polygon

DD

D

D-C

FM: Origami

Transformations 2 6-7 Understand translation as a combination of a horizontal and vertical shift and translate a shape by a given vector.

Fully describe a translation Understand rotation as a (clockwise) turn about a given origin and

rotate a shape by a given degrees and direction Fully describe a rotation Reflect shapes in a given mirror line. Initially line parallel to the

coordinate axes and then y = x or y = –x Enlarge shapes by a given scale factor from a given point; using

positive whole number scale factors, then positive fractional scale factors of ½, 1 ½

Fully describe enlargement Distinguish properties that are preserved under transformations, Combine transformations – reflections, rotations and translations

C

C

C

C

C

C

C

Must use a vector

Must not confuse transformations when describing or will lose ALL marks

Must use scale factor – not doubled or trebled

Mock Exams First week of DecemberXmas Break



lessons

Objectives



ring

Term

Yr 1

1

Algebra: Equations, expressions and Formulae

5-6 Expand double brackets and simplify Substitute positive and negative numbers into algebraic formulae

involving powers Find the solution to a problem by writing an equation and solving it Find the solution to a problem by writing a formula and using it to

solve a problem Use trial and improvement to find approximate solutions to

quadratic and cubic equations – answers to 1 decimal place

CD-C

CC

C

Geometry: Circles 4-5 Know and name all parts of a circle Know pi is approximately 3 to the nearest integer, and 3.14 to 2

decimal places Calculate the circumference of a circle and fractions of a circle (1/2

¾ and ¼ circle) Calculate the area of a circle and fractions of a circle (1/2 ¾ and ¼

circle) Solve problems involving the volume of a cylinder Find exact answers to circumference and area of circles by leaving

answers in terms of pi

D-C

D-CCC

Properties of Number 2

4 Multiply and divide numbers by powers of 10 Write a number as a product of its prime factors Find highest common factor and lowest common multiple of two

numbers Use rules for multiplying and dividing powers

DCC

C

Volume and surface area

4 – 6 Find volumes of shapes by counting cubes Use formulae for the volume of cuboids and prisms Solve a range of problems involving volume Convert between units of volume Find the surface area of cubes, cuboids and prisms

ED-CD-C

C

Large data sets 3-4 Identify the mode, median and mean from a frequency table Find the modal class in grouped frequency distributions Find the class interval containing the median value for a grouped

frequency table Find an estimate for the mean of a grouped frequency distribution

by using the mid-interval value

DDC

C

Geometry: Pythagoras 4

Understand and use Pythagoras’ theorem to find the long side of a right angled triangle

Understand and use Pythagoras’ theorem to find the short side of a right angled triangle

Solve simple word problems involving Pythagoras’ theorem

C

C

C



lessons

Objectives



ring

Term

Yr 1

1

Linear graphs 4 Complete a table of values and draw the corresponding linear graph where y is given explicitly in terms of x

Draw a linear graph when no table is given – using either flow diagrams or gradient intercept method, where y is given explicitly in terms of x

Understand that lines are parallel when they have the same value of m

Decide if a given point lies on a particular line

C

C

C

CScale factors 3-4 Use integer and non-integer scale factors to find the length of a

missing side in each of two similar shapes, given the lengths of a pair of corresponding sides

Read and construct scale drawing, e.g. work out the real distance if the map distance is 6cm scale 1:25000

C

C FM: A place in the sun

Quadratic graphs 3-4 Substitute values of x into a quadratic function to find the corresponding values of y

Draw graphs of quadratic functions such as y=x2+2 Draw graphs of quadratic functions such as y=2x2-6x+5

D/C

DC

Target teaching topics from mock examination analysis here.Following targeting teaching from Mock results – begin GCSE revision.

Teachers must ensure 4 weeks available for revision before examinations begin.


Documents

Foundation Level Two Tier GCSE Mathematics · Web view6 F6actions 2 – different denominators, multiplying, dividing 5/7 Angle properties of triangles, quadrilaterals, parallel lines