Term 1 objectives

Week 1 Unit 1 Exploring Numbers Chapter 1 & 23(1-3)

Primes, multiples and factors

Squares, cubes and roots

Index laws, including negative powers

Fractional powers

Terminating and recurring decimals

Manipulating surds (Include simplifying – worksheet may be needed)

Week 2

Week 3 Unit 2 Shapes Chapter 3

Angles at a point and on a line

Angles in parallel lines

Angles in triangle, quadrilaterals and polygons

Congruent shapes

Proving Triangles are congruent using SAS, SSS, ASA, RHS

Similar shapes

Resources

QWC: Angles & Proof

Week 4

Week 5 Unit 3 Essential Algebra Chapter 2 & 14 Index Laws (Including fractional and negative powers)

Collecting terms & expanding brackets (single and double)

Factorising linear expressions

Factorising Quadratic Expressions (including the difference of two squares)

Algebraic Fractions

Week 6

Week 7 ASSESSMENT 1

Half Term

Term 2 objectives

Week 8 Unit 4 Transformations & Loci Chapter 7

Translations, reflections, rotation and enlargement

Describing transformations

Loci & Constructions

Bearings

Week 9

Week 10

Unit 5 Rounding Chapter 11 Rounding decimals

Significant figures

Estimating

Upper and lower bounds (calculations with upper and lower bounds comes later)

Higher Scheme of work The bullet points in bold red are the A/A* topics. Teachers of lower sets should concentrate on the other topics but may wish to pick up the easier of those in red.

The column on the right notes any resources available, in particular linked to A02/A03 and functional skills. This will be added to as more resources become

available and if anyone has anything useful to add to it please let me know.

Week 11

Unit 6 Measure & Mensuration Ch. 13 Measurements of continuous data (errors)

Perimeter and area of triangles and rectangles

Circumference and area of circles (Sets 1&2 could look at arcs & sectors too)

Functional Element: Questions about tiling wall, carpeting floors etc

Costing involved with carpeting, fertilising fields etc

Page 276/277 of Active teach for A02/A03 skills

Week 12 Volume and surface area of cuboids and prisms.

3D coordinates

Dimensions of formulae is no longer tested.

Resources

A02/A03 – area, perimeter & Volume

Week 13

Unit 7 Probability Chapter 24 & 29 Calculating simple probabilities

Mutually exclusive events

Listing outcomes

Relative frequency

Independent events

Tree diagrams

Conditional probability

Page 284/285 of Active teach for A02/A03 skills (This involves solving equations as well as probability)

Resources

A02/A03 skills - Probability

Week 14 ASSESSMENT 2

Christmas Holidays

Term 3 objectives

Week 15

Unit 8 Rounding Chapter 23 (4-7) Upper and lower bounds

Finding upper and lower bounds for calculations

Week 16

Unit 9 Solving equations & Inequalities Chapter 6 Solving equations, including brackets and negative coefficients

Solving equations with unknowns on both sides

Solving equations involving algebraic fractions

Setting up equations

Showing inequalities on a number line

Solving inequalities

Week 17

Week 18

Unit 10 Basic Number Skills Chapter 8 Percentage increase and decrease

Calculating percentage change

Reverse percentages

Compound interest/depreciation

Compound measures (speed, density etc)

Functional Element: Comparisons of payment options using + x % and fractions.

Use compound interest to compare interest returns on different savings accounts

Change a recipe for 6 people to one for 8 people. Resources

Week 19

Ratio

Standard form & calculations using standard form.

Functional skills tasks – Value for money. A02/A03 Skills – Number

Week 20 ASSESSMENT 3

Half Term

Term 4 objectives

Week 21 Unit 11 Pythagoras Chapter 15

Solving problems using Pythagoras’ theorem

Coordinate problems involving Pythagoras

Pythagoras in 3D

Finding the equation of a circle

Resources

A02/A03 - Pythagoras Week 22

Week 23 Unit 12 Sequences and Formulae Chapter 12

Using a formula to generate a sequence

Finding the nth term

Substituting into formulae

Rearranging formulae.

Complex rearranging where the subject appears twice

Week 24

Week 25

Unit 13 Basic Trig Chapter 16 (1- 4) Using trig on right angled triangles

ASSESSMENT 4

Page 278/279 and page 282/283 of Active teach for A02/A03 skills.

The new style questions often ask students to ‘compare data’

without stating which statistical diagrams/calculations they need to use, so students need to be clear about when to use which

diagram or calculation. Week 26

Easter

Term 5 objectives

Week 27

Unit 14 Collecting Data Chap. 5 Sampling methods Questionnaires Frequency polygons

Histograms are mentioned in this chapter but appear later in the scheme

of work so can be ignored at present.

Week 28 Unit 15 Graphs & Regions Chapter 9

Drawing straight line graphs Using y=mx+c

Functional Element: Set up simultaneous equations to solve problems in context.

Finding equations of parallel lines

Week 29

Finding equations of perpendicular lines (including when two points are given)

Solving simultaneous equations graphically Solving linear simultaneous equations algebraically Representing inequalities graphically.

Week 30 Unit 16 Fractions and decimals Chapter 4 Ordering fractions

The four operations with fractions

Converting decimals to fractions and vice versa

Converting recurring decimals to fractions

Multiplying and diving decimals

Week 31

Week 32 Revision and Catch up

Week 33 ASSESSMENT 5 (Year 10 Test week)

Half Term

Term 6 objectives

Week 34

Unit 30 Vectors Chapter 27 Adding and subtracting vectors

Multiplying vectors

This topic continues in term 4 of Year 11

Week 35 Work Experience

Week 36 Unit 17 Quadratic Equations Chapter 19 Solving Quadratics by factorising Completing the square Solving quadratics using the formula Equations involving algebraic fractions Problems that lead to quadratic equations Linear and quadratic simultaneous equations

Week 37

Week 38 Revision for End of Year Exam

Week 39 End of Year Exams

Week 40 Go through the test, catch up on any topics not covered.

Also any ‘fun’ maths activities

Summer Holidays

Week1

Week 2

Unit 18 Data Handling Chapter 10

Mean, median and mode Stem and Leaf diagrams Upper and lower quartiles and Inter-quartile range Using frequency tables Estimating mean from grouped data Justifying which statistical measurement to use. Scatter diagrams and correlation

Page 278/279 and page 282/283 of Active teach for A02/A03 skills.

The new style questions often ask students to ‘compare data’ without stating which statistical diagrams/calculations they need to use, so students need to be clear about when to use which diagram or calculation.

Week 3

Week 4 Unit 19 Proportion Chapter 18 Direct Proportion

Inverse Proportion

Week 5

Unit 20 Histograms Chapter 20 (8- 9) Draw Histograms

Interpret Histograms

Week 6 Unit 21 Trig Graphs Chapter 16 (5- 9) Know the properties of sin, cos and tan graph

Use the symmetries in the graphs to all solutions to equations.

Week 7 Unit 22 Advanced Trig Chapter 21 Area of a triangle

Sine rule

Cosine rule

Trig and Pythagoras in 3D

Page 286/287 of Active teach for A02/A03 skills (This involves solving equations as well as probability)

Half Term

Week 8

Practice of Quality of written communication skills to be taught

at some point during this Term. Use work sheet here : Q:\Maths\Staff\KS4\Worksheets\QWC Higher.docx

Week 9 Unit 23 Graphs & Equations Chapter 17 Recognise and draw graphs of quadratic, cubic and reciprocal functions

Functional Element: Real life graphs e.g fuel bills, phone bills, conversion graphs

Week 10 Use graphs to solve equations

Trial and Improvement

Real life graphs

etc.

Resources

Functional skills task - Airlines

Week 11 Unit 24 Data Handling 2 Chapter 20 (1- 7) Cumulative frequency

Box plots

Comparing data

Week 12

Week 13 Revision for Mocks

Week 14 Year 11 Mocks. Christmas

Holidays

Week 15

Week 16 Unit 25 Modelling Chapter 28

Exponential functions – eg for compound interest

Modelling using trig functions.

Week 17

Using lines of best fit.

Reducing equations to linear form.

Week 18 Unit 26 Advanced Mensuration Chapter 22 Arcs and Sectors of circles

Area of segments

Volumes and S.A of prisms, pyramids, and spheres.

Area and volumes of similar shapes

Functional Element: Use capacity to solve problems involving liquid levels

and filling containers. Week 19

Week 20 Unit 27 Circle Theorems Chapter 26 Use Circle theorems to solve problems

Prove Circle theorems

Half Term

Week 21

Week 22 Unit 29 Graph Transformations Chapter 25 Function notation

Applying vertical translations to graphs

Applying Horizontal translations to graphs

Applying reflections to graphs

Applying stretches to graphs

Week 23

Week 24 Unit 30 Vectors Chapter 27 Linear combinations of vectors

Using vectors to prove geometrical results.

Week 25

Week 26 Catch up with any topics missed out or skimmed over in year 10 and 11.

Easter

Revision

Term 1 Objectives

Week 1 Unit 1 Understanding Number Chapter 1 Multiply, divide, add, subtract whole numbers

Rounding numbers, including to 1 significant figure.

Functional element: Price lists in a café, Seats available on a bus, invoices,

packing problems and dealing with remainders. Value for money

Pg 285-287 of Active teach for AO2/AO3 skills Week 2

Week 3 Unit 2 Angles Chapter 6 (1-8) Angles in triangles and quadrilaterals

Naming, measuring and drawing angles

Angles on a straight line and at a point

Week 4

Week 5 Unit 3 Transformations Chapters 22 & 27 Translation, rotation, reflection and enlargement

Describing transformations

Week 6

Unit 4 Factors etc Chapter 2 (3-8) Factors, multiples and primes

HCF and LCM

Squares, cubes, square roots and cube roots

Finding prime factors

Week 7 Assessment 1

Half Term

Term 2 Objectives

Week 8

Unit 5 Algebra Chapter 3 (1-13) Writing simple expression

Collecting like terms

Multiplying algebraic expressions

Dividing algebraic expressions

Expanding brackets

Week 9 Unit 6 Fractions Chapter 8 (1- 9) Improper fractions / mixed numbers

Finding a fraction of an amount

Equivalent fractions / simplifying fractions

Adding and subtracting fractions

Week 10

Foundation Scheme of work

(2010 onwards)

Week 11

Week 12

Unit 7 Probability Chapter 23 The probability scale

Simple probabilities Listing outcomes

Two-way tables

Relative frequency

Pg 297 of Active teach for AO2/AO3 skills

Week 13 Unit 8 -ve Number Chapter 2 (1-2)

Use negative numbers in context

Add, subtract, multiply and divide negative numbers

Week 14 Assessment 2

Christmas Holidays

Term 3 Objectives

Week 15 Unit 9 Linear Equations Chapter 11

Solve simple equations

Week 16 Solve equations with brackets

Solve equations with unknown on both sides

Week 17

Unit 10 Units of Measure Chapter 14 Convert between metric units

Convert between metric and imperial units

Solve questions involving time

Read timetables

Functional element: Use of imperial and metric measures according to which

one is in common use.

Week 18

Week 19

Unit 11 Volume & Area Chapter 19 (not 19.10) Perimeter and area of rectangles, triangle and compound shapes

Volume of cuboids

Surface area of cuboids and prisms

Converting units of area and volume

Functional element: Tilling wall, carpeting floors etc. Planting seeds, fertilising fields etc.

Week 20 Assessment 3

Half Term

Term 4 Objectives

Week 21 Unit 12 Decimals Chapter 5 Ordering decimals

Functional element: Money calculations and best buys.

Foundation Scheme of work

Week 22 Rounding numbers (including significant figures)

Adding & subtracting decimals

Multiplying and dividing decimals

Week 23 Unit 13 Patterns & Sequences Chapter 4 Finding term to term rules

Finding the nth term

Using the nth term to generate sequences

Describing numbers patterns in diagrams

Week 24

Week 25

Unit 14 Loci and Construction Chapter 7 (7- 8) Drawing angles Bisecting lines Loci

Week 26 Assessment 4

Easter

Term 5 Objectives

Week 27 Unit 15 Symmetry Chap. 18 Reflective symmetry

Rotational symmetry

Week 28 Unit 16 Percentages Chapter 15 Writing percentages as fractions & decimals Finding percentage of an amount

Functional element: Salary increase Comparison of interest between savings accounts

Week 29 Percentage increase and decrease.

Writing one quantity as a percentage as another

Compound interest

Week 30

Week 31

Unit 17 2D Shapes Chapter 7 (1-6) Properties of triangle and quadrilaterals

Congruent shapes

Tessellations

Constructing polygons

Scale drawings

Week 32 Year 10 Test week

Half Term

Term 6 Objectives

Week 33 Go through tests & consolidate

Week 34 Work Experience

Week 35 Unit 18 Estimating & Measuring Chapter 9 Estimating lengths, capacities, and weights using metric and imperial units.

Choosing sensible units of measure

Measuring time

Reading scales

Week 36

Week 37 Unit 19 Ratio & Proportion Chapter 17 Simplifying ratios

Writing ratios in a unitary form

Dividing quantities in a given ratio

Direct proportion (informal using ratio)

Scales in maps and diagrams

Functional element: Adapting a recipe for 6 people to serve 8 people

Week 38

Week 39 End of year celebrations

Summer Holidays

Practice of Quality of written communication skills to be taught at

some point during this year. Use work sheet here : Q:\Maths\Staff\KS4\Worksheets\QWC foundation.docx

Week 1 Unit 20 Algebra 2 Chapter 3 (13- 14) Recap Laws of indices BIDMAS Simplifying expressions involving brackets Factorising using one bracket.

Week 2

Week 3

Unit 21 Data Handling Chapter 20 (1- 5) Mean, median, mode and range.

Know the advantages/disadvantages of each kind of average.

Week 4

Week 5

Unit 22 Fractions 2 Chapter 8 (10- 15) Multiplying and dividing fractions

Converting fractions to decimals

Change fractions into recurring decimals.

Week 6

Week 7

Unit 23 3D Shapes Chapter 13 Understand the terms faces, edges and vertices

Name 3D shapes (see list on page 247)

Draw nets for 3D shapes

Draw and interpret plans and elevations

Symmetry in 3D shapes

Half Term

Week 8

Week 9

Unit 24 Data Handling 2 Chapter 10, 12 & 20.7 Designing questionnaires

Understand what is meant by random sample and bias

Compare data using dual bar charts

Pictograms

Discrete and continuous data

Frequency polygons

Pie charts

Week 10

Week 11

Unit 25 Formulae & inequalities Chapter 21 Use letters to write relationship between two unknowns

Use algebraic formulae

The 4 operations with negative numbers

Solve problems using equations

Solve linear inequalities

Functional element: Cost = standing charge + price per unit Hire charge = Fixed price + mileage charge

Week 12 Revision for Mocks

Week 13 Year 11 Mocks.

Week 14

Christmas Holidays

Week 15 Unit 26 Data 3 Chapter 24 & 20.6 Draw scatter diagrams and describe the correlation

Find averages from frequency tables

Week 16 Find mean, mode and median from grouped data.

Stem & Leaf Diagrams

Week 17 Unit 27 Angles Chapter 6 (8- 12) Angles in parallel lines

Interior and exterior angles in polygons

Bearings

Week 18

Week 19 Unit 28 Pythagoras Chapter 25 Use Pythagoras’ theorem to find the hypotenuse

Use Pythagoras to find any side of a right angled triangle

Week 20

Half Term

Week 21 Unit 29 Co-ords and graphs Chapter 16 & 19.10 Use coordinates in all four quadrants

Draw linear graphs from tables and from equations

Use conversion graphs and other real life graphs

Read and draw distance time graphs and calculate speed.

Functional element: Graphs for conversion, fuel bills, cost, employment over

time etc. Week 22

Week 23 Unit 30 Algebra 3 Chapter 28 Expanding single and double brackets

Drawing quadratic graphs

Using graphs to solve simple quadratic equations

Rearranging formulae (keep it simple)

Trial and improvement.

Week 24

Week 25 Unit 31 Advanced P, A & V Chapter 26 Circumference and area of circles

Area and perimeter of shapes made from circles

Volume and S.A of prisms

Accuracy of measurements

Speed and density

Converting between units of speed.

Week 26

Easter

Revision