chislehurst and sidcup grammar school mathematics department

Chislehurst and Sidcup Grammar School

Mathematics Department KS3 Scheme of Work

Aidan Gollaglee Discovering Mathematics 1C/2C/3C

1 Return to KS3 Unit Schedule Overview

Contents KS3 Unit Schedule Overview ........................... 2

Resources ........................................................ 3

Textbook ..................................................... 3

Revision Workbook ..................................... 3

Year 7 .............................................................. 4

Chapter 1 - Positive Real Numbers ................. 5

Chapter 2 - Negative Real Numbers................ 6

Chapter 3 – Introduction to Algebra ............... 7

Chapter 4 – Simple Equations ......................... 8

Chapter 5 - Fractions ....................................... 9

Chapter 6 - Decimals ..................................... 10

Chapter 7 - Percentages ................................ 11

Chapter 8 – Points, Lines and Planes ............ 12

Chapter 9 – Transformations, Symmetry and

Congruence ................................................... 13

Chapter 10 – Perimeter and Area of Triangles

and Circles ..................................................... 14

Chapter 11 – Volumes and Surface Area of

Cubes/Cuboids .............................................. 15

Chapter 12 – Collecting, Organising and

Displaying Data ............................................. 16

Year 8 ............................................................ 17

Chapter 1 – Factors and Multiples ................ 18

Chapter 2 – Approximation and Estimation . 19

Chapter 3 – Ratio .......................................... 20

Chapter 4 – Working with Percentages ........ 21

Chapter 5 – Algebraic Expressions, Formulae

and Proof ....................................................... 22

Chapter 6 – Equations and Inequalities in One

Variable ......................................................... 23

Chapter 7 – Coordinates and Linear Functions

...................................................................... 24

Chapter 8 – Number Patterns ....................... 25

Chapter 9 – Angles in Quadrilaterals and

Polygons ........................................................ 26

Chapter 10 – Perimeter and Area of

Parallelograms and Trapezia ......................... 27

Chapter 11 – Volume and Surface Area of

Prisms and Cylinders ..................................... 28

Chapter 12 – Statistical Graphs..................... 29

Year 9 ............................................................ 30

Chapter 1 – Indices and Standard Form ....... 31

Chapter 2 – Proportion ................................. 32

Chapter 3 – Linear Equations in Two Variables

...................................................................... 33

Chapter 4 – Quadratic Expressions ............... 34

Chapter 5 – Non-linear graphs ...................... 35

Chapter 6 – Geometric Construction and Loci

...................................................................... 36

Chapter 7 – Pythagoras’ Theorem ................ 37

Chapter 8 – Congruence, Similarity and

Enlargement .................................................. 38

Chapter 9 – Trigonometry and Bearings ....... 39

Chapter 10 – Volume and Surface Area of

Pyramids and Cones ...................................... 40

Chapter 11 – Data Analysis ........................... 41

Chapter 12 – Probability ............................... 42

Chapter 13 – Sets and Venn Diagrams ......... 43


KS3 Unit Schedule Overview

Year 7

Week 1 Week

2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 12

Autumn

Number Algebra Review

0Chapter 1 - Positive Real Numbers

Chapter 2 - Negative Real

Numbers

Chapter 3 – Introduction to Algebra

Chapter 4 – Simple

Equations

Review Exercise 1

Spring

Number Review

Chapter 5 - Fractions Chapter 6 - Decimals Chapter 7 -

Percentages

Review Exercise 2

Summer

Geometry & Measures Statistics Review

Chapter 8 – Points, Lines and Planes

Chapter 9 – Transformations,

Symmetry and Congruence

Chapter 10 – Perimeter

and Area of Triangles and

Circles

Chapter 11 – Volumes and Surface Area

of Cubes/Cuboids

Chapter 12 – Collecting,

Organising and Displaying Data

Review Exercise 3

Year 8

Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 12

Autumn

Number Ratio, Proportion & Rates of Change Number Review

Chapter 1 – Factors and Multiples

Chapter 2 – Approximation and Estimation

Chapter 3 – Ratio Chapter 4 – Working with

Percentages

Review Exercise 1

Spring

Algebra Review

Chapter 5 – Algebraic Expressions, Formulae and Proof

Chapter 6 – Equations and

Inequalities in One Variable

Chapter 7 – Coordinates and Linear Functions

Chapter 8 – Number Patterns

Review Exercise 2

Summer

Geometry & Measures Statistics Review

Chapter 9 – Angles in

Quadrilaterals and Polygons

Chapter 10 – Perimeter and Area of

Parallelograms and Trapezia

Chapter 11 – Volume and Surface Area of Prisms and

Cylinders

Chapter 12 – Statistical Graphs

Review Exercise 3

Year 9

Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 12

Autumn

Number Ratio, Proportion & Rates of

Change Algebra

Chapter 1 – Indices and Standard Form

Chapter 2 – Proportion Chapter 3 – Linear

Equations in Two Variables

Chapter 4 – Quadratic Expressions

Spring

Algebra Review Geometry & Measures

Chapter 5 – Non-linear

graphs

Review Exercise 1

Chapter 6 – Geometric

Construction and Loci

Chapter 7 – Pythagoras’

Theorem

Chapter 8 – Congruence, Similarity and Enlargement

Chapter 9 – Trigonometry and Bearings

Summer

Review Geometry & Measures Statistics Probability Review

Review Exercise 2

Chapter 10 – Volume and Surface Area of Pyramids and Cones

Chapter 11 – Data Analysis

Chapter 12 – Probability

Chapter 13 – Sets and Venn Diagrams

Review Exercise 3


Resources

Textbook The textbooks listed below complement the scheme of work and are ordered such as to provide

suitable progression and challenge for students entering a selective grammar school. The resources

were selected on the basis of teaching for mastery. Activities and methods for teaching in this series

of books matches with the aims of the department to teach for understanding.

These books provide tiered exercises that are suitable for use by all students within the school.

Revision Workbook The Discovering Mathematics 1C/2C/3C workbooks can be found on the shared area for both staff

and students.


Year 7


Chapter 1 - Positive Real Numbers Objective Summary Resources HM

1.1 Place value and rounding integers

• Recognise the place values of an integer.

• Round a number to the nearest 10, 100, 1000.

1.2 Addition

Sum positive integers using:

• Column method.

• Mental addition methods (splitting, grouping, making 10)

Ensure students know and understand commutativity and associativity and can use it with addition problems. E.g. 8 +5 + 2 + 5 = 8 + 2 + 5 + 5 = 20

1.3 Subtraction

Subtract positive integers using:

• Column method

• Mental methods Ensure students understand the relationship between addition and subtraction. E.g. If we know 5 + 3 = 8 then we know that 8 − 3 = 5

1.4 Multiplication

Multiply positive integers using:

• Grid, column and lattice method

• Mental methods Ensure students know and understand commutative, associative and distributive laws. How can distributive law help to solve complicated calculations?

1.5 Division

Divide two positive integers using:

• Long and short division methods

• Mental division Know and understand relationship between multiplication and division.

1.6 Index notation, square and cube roots

• Understand the meaning of square, cube, square root and cube root of a number.

• Understand index notation

1.7 Order of operations

• Apply the order of operations in calculations, including complex calculations involving multiple operations (positive integers).

• Understand some operations have equal priority.

1.8 Primes, factors and multiples

• Identify multiples and factors of numbers

• Identify prime numbers.

• Write numbers as a product of prime factors,

including in index form.

• Apply the above concepts to solve daily life problems

Assessment

Positive Integers

Test A.docx

Positive Integers

Test A MS.docx


Chapter 2 - Negative Real Numbers Objective Summary Resources HM

2.1 Negative numbers and the number line

• Recognise the use of negative numbers in the real world.

• Represent numbers on a number line.

2.2 Addition and subtraction of integers.

• Identify integers and perform addition and subtraction using them.

2.3 Multiplication, division and combined operations of integers.

• Identify integers and perform multiplication and division on them.

• Combine operations on integers.

Assessment

Negative Real

Numbers Test A.docx

Negative Real

Numbers Test A MS.docx


Chapter 3 – Introduction to Algebra Objective Summary Resources HM

3.1 Letters to represent numbers

- Understand the terms expression, equation, identity and formula(e) - Use letters to represent numbers - Interpret simple algebraic notation (eg. 4y means 4 x y,

a2 means a x a)

3.2 Substitute numbers for letters

- Substitute integers into simple expressions and formulae

3.3 Writing algebraic expressions and formulae

- Write simple expressions and formulae

3.4 Like terms and unlike terms

- Simplify expressions by collecting like terms

3.5 Addition and subtraction of linear and non-linear expressions

- Add and subtract linear expressions. e.g. (5y + 5) – (2y – 3) - Add and subtract non-linear expressions such as: ab + b2

+ 2ab + 3b2

3.6 Simplify expressions involving multiplication and division

- Multiply algebraic and non-algebraic terms, such as ‘2 x 5a x 3b’, into a single expression. - Simplify expressions involving division

3.7 Expressions with brackets

- Expand a single bracket - Expand and simplify expressions with multiple single brackets.

3.8 Factorising expressions

- Factorise simple expression by taking out a common factor

Assessment

Introduction to

Algebra Test A.docx

Introduction to

Algebra Test A MS.doc


Chapter 4 – Simple Equations Objective Summary Resources HM

4.1 Equations in one variable

- Understand the concept of equations and balancing. - Solve simple equations in one variable. - Solve equations with variables on both sides of an equation. - Solve equations with fractional terms (variables as

numerators)

4.2 Equations in one variable with brackets

- Solve simple equations involving brackets.

4.3 Writing equations to solve problems

- Write simple equations in one variable to solve problems.

Assessment

Simple Equations

Test A.docx

Simple Equations

Test A MS.docx


Chapter 5 - Fractions Objective Summary Resources HM

5.1 Quantities as fractions

• Use fraction notation • Calculate fractions of quantities

5.2 Equivalent Fractions and Comparing Fractions

• Identify equivalent fractions, simplify fractions and compare fractions • Convert improper fractions to mixed numbers and vice versa

5.3 Addition and Subtraction of Fractions and Mixed Numbers

• Add and subtract fractions and mixed numbers • Apply fractions in practical situations

5.4 Multiplication of Fractions

• Multiply fractions and mixed numbers • Divide fractions and mixed numbers

5.5 Division of Fractions and Mixed Numbers

• Find the reciprocal of a number • Perform the four operations on fractions and on mixed numbers • Calculate fractions of quantities • Reverse fractions problems • Apply fractions in practical situations

5.6 Rational Numbers

• Identify fractions as rational numbers • Identify irrational numbers

Assessment

Fractions Test

A.docx

Fractions Test A

MS.docx


Chapter 6 - Decimals Objective Summary Resources HM

6.1 Place values, ordering and rounding of decimal numbers

• Interpret decimals and write decimals in order of size • Round decimals to the nearest integer

6.2 Addition and subtraction of decimals

• Use the four operations with decimals

6.3 Multiplication of decimals


6.4 Division of a decimal by integers.


6.5 Division of a decimals by decimals.

• Use the four operations with decimals • Solve real-life problems using decimals

6.6 Mental calculation and conversion between units

• Convert between units of measure Ensure students understand S.I. units and different prefixes such as centi-, milli-, etc.

6.7 Rational numbers and real numbers

• Convert between decimals and fractions • Identify recurring decimals and real numbers • Solve real-life problems using decimals

Assessment

Decimals Test

A.docx

Decimals Test A

MS.docx


Chapter 7 - Percentages Objective Summary Resources HM

7.1 Meaning of percentage

• Define percentage as ‘number of parts per hundred’ • Interpret a percentage as a fraction or a decimal • Convert a fraction or a decimal to a percentage • Recognise percentages greater than 100% • Compare two quantities using percentages • Express one quantity as a percentage of another

7.2 percentage of a quantity

• Find a percentage of a quantity using multiplication

7.3 Reducing and increasing a quantity by a percentage

• Reduce or increase a quantity by a percentage

Assessment

Percentages Test

A.docx

Percentages Test A

MS.docx


Chapter 8 – Points, Lines and Planes Objective Summary Resources HM

8.1 Points, lines and planes

• Describe a point, a line, a line segment, a ray and a

plane

8.2 Angles • Identify different types of angles • Recognise the properties of vertically opposite angles, angles on a straight line and angles at a point

8.3 Parallel lines and transversals

• Recognise the properties of angles formed by parallel lines and transversals • Find unknown marked angles in a diagram using the above properties

8.4 Triangles • Classify triangles based on their sides and angles • Understand the general properties of sides and angles of a triangle

Assessment

Points, lines and

planes Test A.docx

Points, lines and

planes Test A MS.docx


Chapter 9 – Transformations, Symmetry and Congruence Objective Summary Resources HM

9.1 Transformations

• Translate, rotate, reflect and enlarge 2D shapes. • Describe transformations • Combine transformations

9.2 Symmetry • Recognise and describe reflection symmetry of 2D shapes • Recognise and describe rotation symmetry of 2D shapes

9.3 Congruence • Understand the idea of congruence • Match the sides and angles of two congruent shapes

Assessment

Transformations,

symmetry and congruence Test A.docx

Transformations,

symmetry and congruence Test A MS.docx


Chapter 10 – Perimeter and Area of Triangles and Circles Objective Summary Resources HM

10.1 Perimeter and Area of a triangles and quadrilaterals

• Find the perimeter and area of a triangle • Find the perimeter and area of quadrilaterals, including parallelograms and trapezia

10.2 Circumference of a Circle

• Find the circumference of a circle • Find the perimeter of a semicircle and a quarter of a circle

10.3

Area of a Circle

• Find the area of a circle • Find the area of a semicircle and a quarter of a circle

10.4 Perimeter and Area Problems

• Find a length given the perimeter or area of a shape • Solve problems involving perimeters and areas of composite plane figures formed by rectangles, squares, triangles and circles

Assessment

Perimeter and Area

Test A.docx

Perimeter and Area

Test A MS.docx


Chapter 11 – Volumes and Surface Area of Cubes/Cuboids Objective Summary Resources HM

11.1 Nets of Cuboids, including Cubes

• Draw nets of cuboids, including cubes

11.2 Surface Area of Cuboids, including Cubes

• Calculate the surface area of cuboids, including cubes

11.3 Volume of Cuboids, including Cubes

• Calculate the volume of cuboids, including cubes • Solve problems involving volume and surface area of cuboids, including cubes

11.4 Surface Area of Prisms

• Calculate the surface area of prisms, including cylinders

11.5 Volume of Prisms

• Calculate the volume of prisms, including cylinders • Solve problems involving volume and surface area of prisms

Assessment

Volume and SA Test

A.docx

Volume and SA Test

A MS.docx


Chapter 12 – Collecting, Organising and Displaying Data Objective Summary Resources HM

12.1 Collection of Data

• Recognise different methods of collecting data • Identify and write appropriate survey questions

12.2 Organisation of Data

• Organise data • Create frequency tables

12.3 Pictograms, Vertical Line Charts, Bar Charts and Pie Charts

• Construct, analyse and interpret pictograms, vertical line charts, bar charts, compound bar charts and pie charts

Assessment

Data Handling Test

A.docx

Data Handling Test

A MS.docx


Year 8


Chapter 1 – Factors and Multiples Objective Summary Resources HM

1.1 Prime numbers

• Recognise prime numbers • Be able to identify factors and multiples of a number. • Express a composite number as a product of its prime factors • Represent the prime factorisation of a number in index notation

1.2 Highest common factor and lowest common multiple

• Find the highest common factor (HCF) of a group of numbers by using prime factorisation • Find the lowest common multiple (LCM) of a group of numbers by using prime factorisation • Find the HCF and LCM of composite numbers and using Venn diagrams. • Solve real world problems using HCF and LCM

1.3 Uses of prime factorisation

• Understand the use of prime factorisation to find the square root and cube root of a number. • Find the HCF and LCM of algebraic terms. e.g. 24a2b3c4

and 36ab3c2 Do we have to change strategy with algebra? Is it harder? Easier? Can you spot it quickly? What about the cube root of, say, 216a3b6c15?

Assessment

Factors and

Multiples Test A.docx

Factors and

Multiples Test A MS.docx


Chapter 2 – Approximation and Estimation Objective Summary Resources HM

2.1 Approximation

• Round numbers to a required number of decimal places • Round numbers to a required number of significant figures

2.2 Estimation

• Estimate quantities (numbers and measures) to an appropriate degree of accuracy • Estimate the results of computation • Be aware of rounding errors in the intermediate steps of calculations

Assessment

Approximation and

Estimation Test A.docx

Approximation and

Estimation Test A MS.docx


Chapter 3 – Ratio Objective Summary Resources HM

3.1 Integer Ratios

• Use ratio notation • Compare quantities by ratio

3.2 All kinds of ratios

• Describe the relationship between ratio and fraction • Divide a quantity in a given ratio • Solve problems involving ratio

3.3 Scale Plans and Maps

• Understand and use the scale of a plan or a map

3.4 Rate • Solve problems involving rate in daily life • Recognise the relationships between distance, time and speed

3.5 Speed • Recognise the concepts of constant speed and average

speed

• Write speed in different units and convert it from one unit to another • Solve problems involving speed

Assessment

Ratio Test A.docx Ratio Test A

MS.docx


Chapter 4 – Working with Percentages Objective Summary Resources HM

4.1 Simple Interest and Reverse Percentages

• Calculate simple interest

• Solve problems involving reverse percentage

4.2 Percentage Increase and Decrease

• Calculate percentage increase and decrease in

quantities

4.3 Repeated Percentage Change

• Calculate repeated percentage change

• Calculate compound interest

• Solve problems involving growth and depreciation.

Assessment

Percentages Unit

Test.docx

Percentages Unit

Test MS.docx


Chapter 5 – Algebraic Expressions, Formulae and Proof Objective Summary Resources HM

5.1 Use of Letters in Algebra

• Use letters to represent numbers or variables

• Interpret algebraic notations

5.2 Evaluation of Algebraic Expressions and Formulae

• Evaluate algebraic expressions and formulae

5.3 Algebraic Expressions in the Real World

• Express real-world situations in algebraic terms

5.4 Simplification of Linear Expressions

• Simplify linear expressions

5.5 Factorisation by Using Common Factors

• Factorise an algebraic expression by using common factors

5.6 Proof

• Prove a statement algebraically

Assessment

Algebraic

Expressions Test A.docx

Algebraic

Expressions Test A MS.docx


Chapter 6 – Equations and Inequalities in One Variable Objective Summary Resources HM

6.1 Simple Linear Equations in One Variable

• Understand the concepts of equations and the solution

of an equation

• Solve linear equations in one variable

6.2 Equations Involving Brackets

• Solve linear equations in one variable involving brackets

6.3 Simple Fractional Equations

• Solve simple fractional equations

6.4 Forming Linear Equations to Solve Problems

• Formulate linear equations in one variable to solve problems

6.5 Inequality Relationships

• Understand the concept and properties of linear inequalities

6.6 Solving Inequalities

• Solve simple linear inequalities • Solve simple problems involving inequalities

Assessment

Equations and

Inequalities Test A.docx

Equations and

Inequalities Test A MS.docx


Chapter 7 – Coordinates and Linear Functions Objective Summary Resources HM

7.1 Cartesian Coordinate System

• Construct the Cartesian coordinate system in two

dimensions and state the coordinates of points on it

7.2 Idea of a Function • Recognise the idea of functions

7.3 Linear Functions and their Graphs

• Plot a graph of a set of ordered pairs as a representation

of a relationship between two variables

• Recognise linear functions in the form of y = mx + c and draw their graphs

7.4 Gradients of Linear Graphs

• Find the gradient of a linear graph

Assessment

Coordinates and

Linear Functions Test A.docx

Coordinates and

Linear Functions Test A MS.docx


Chapter 8 – Number Patterns Objective Summary Resources HM

8.1 Number Patterns and Sequences

• Recognise number patterns and sequences

• Find the terms of a sequence using a term-to-term rule

• Recognise arithmetic and geometric sequences

8.2 General Term of a Sequence

• Find terms of a sequence using a position-to-term rule • Find the formula for the general (nth) term of a sequence • Solve problems involving number patterns and sequences

Assessment

Number Patterns

Test A.docx

Number Patterns

Test A MS.docx


Chapter 9 – Angles in Quadrilaterals and Polygons Objective Summary Resources HM

9.1 Quadrilaterals

• Classify special quadrilaterals on the basis of their

properties

• Recognise the properties of special quadrilaterals

9.2 Polygons • Recognise the properties of polygons, including symmetry properties and angles.

Assessment

Angles in Polygons

Test A.docx

Angles in Polygons

Test A MS.docx


Chapter 10 – Perimeter and Area of Parallelograms and Trapezia Objective Summary Resources HM

10.1 Area of Parallelograms • Calculate the area of a parallelogram

10.2 Area of Trapezia • Calculate the area of a trapezium

10.3 Perimeter and Area of Composite Plane Figures

• Solve problems involving perimeters and areas of composite plane figures

Assessment

Area and Perimeter

Test A.docx

Area and Perimeter

Test A MS.docx


Chapter 11 – Volume and Surface Area of Prisms and Cylinders Objective Summary Resources HM

11.1 Views and Nets of Three-dimensional (3D) Shapes

• Visualise and draw sketches of three-dimensional

shapes from different views

• Visualise and draw the nets of prisms and cylinders

11.2 Volume and Total Surface Area of Prisms

• Calculate the volume and surface area of prisms

11.3 Volume and Total Surface Area of Cylinders

• Calculate the volume and surface area of cylinders

11.4 Volume and Surface Area of Composite Solids

• Convert between cm2 and m², and between cm³ and m³

• Solve problems involving volume and surface area of composite solids

Assessment

Volume and SA Test

A.docx

Volume and SA Test

A MS.docx


Chapter 12 – Statistical Graphs Objective Summary Resources HM

12.1 Line Graphs • Construct, analyse and interpret line graphs

12.2 Pie Charts • Construct, analyse and interpret pie charts

12.3 Use and Misuse of Statistical Graphs

• Describe the purposes and appropriateness of use of

the different forms of statistical representation, including

pictograms and bar charts

• Explain why a given statistical diagram can lead to misinterpretation of data

12.4 Scatter Graphs

• Construct, analyse and interpret scatter graphs

• Describe types of correlation for a scatter graph

• Draw a line of best fit on a scatter graph and use it to estimate data values

12.5 Linear Functions and Outliers

• Find the equation of a given line of best fit • Identify and explain outliers

Assessment

Statistical Graphs

Test A.docx

Statistical Graphs

Test A MS.docx


Year 9


Chapter 1 – Indices and Standard Form Objective Summary Resources HM

1.1 Positive indices and laws of indices

• State and apply the laws of indices including positive, zero, negative and fractional indices.

• Simplify expressions involving indices.

1.2 Zero and negative indices

1.3 Fractional indices

1.4 Standard form

• Express numbers in standard form

• Compare numbers using standard form

• Use 4 operations with standard form

Assessment

Indices and

Standard Form Test A.docx

Indices and

Standard Form Test A MS.docx


Chapter 2 – Proportion Objective Summary Resources HM

2.1 Direct proportion

• Understand the ideas of direct proportion and inverse proportion • Determine whether two quantities are in direct proportion or inverse proportion from a graph, a table or an equation connecting two quantities • Solve practical problems on direct proportion and inverse proportion

2.2 Inverse proportion

Assessment

Proportion Test

A.docx

Proportion Test A

MS.docx


Chapter 3 – Linear Equations in Two Variables Objective Summary Resources HM

3.1 Changing the subject of a formula

• Rearrange a formula to change the subject • Understand the properties of a linear equation in two variables • Draw the graph of a linear equation in two variables • Understand the concept of simultaneous equations and their solutions • Solve simultaneous linear equations in two variables using the graphical method, the substitution method and the elimination method • Recognise the approximate nature of the graphical method • Apply simultaneous linear equations in two variables to solve problems

3.2 Linear equations

3.3 Solving Simultaneous Linear Equations in Two Variables by the Graphical Method

3.4 Solving Simultaneous Linear Equations in Two Variables by the Substitution Method

3.5 Solving Simultaneous Linear Equations in Two Variables by the Elimination Method

3.6 Solving Problems Using Simultaneous Equations

Assessment

Linear equations

Test A.docx

Linear equations

Test A MS.docx


Chapter 4 – Quadratic Expressions Objective Summary Resources HM

4.1 Quadratic Expressions

• Manipulate quadratic expressions

• Expand the product of two linear algebraic

expressions

• Factorise quadratic expressions of the form

𝑎𝑥2 + 𝑏𝑥 + 𝑐 using the multiplication frame this

method must be taught for relationship between

expansion and factorisation

https://www.youtube.com/watch?v=Ai_L0YDlsW8

• Expand and factorise algebraic expressions using

special products

4.2 Expansion of the Product of Algebraic Expressions

4.3 Factorisation of ax2 + bx + c

4.4 Special Products of Algebraic Expressions

4.5 Factorisation by Using Special Products of Algebraic Expressions

Assessment

Quadratic

Expressions Test A.docx

Quadratic

Expressions Test A MS.docx

https://www.youtube.com/watch?v=Ai_L0YDlsW8


Chapter 5 – Non-linear graphs Objective Summary Resources HM

5.1 Graphs for Constant Rates of Change

• Interpret and draw distance–time graphs, velocity–time graphs and other graphs that show rates of change • Use graphs for rates of change to solve problems • Interpret and draw the graph of a quadratic function y = ax2 + bx + c • State the properties of quadratic graphs • Interpret and draw exponential, reciprocal and piece-wise graphs • State the properties of exponential and reciprocal graphs

5.2 Quadratic Graphs

5.3 Exponential, Reciprocal and Piece-wise Graphs

Assessment

Non-linear graphs

Test A.docx

Non-linear graphs

Test A MS.docx


Chapter 6 – Geometric Construction and Loci Objective Summary Resources HM

6.1 Perpendicular Bisectors, Perpendicular Lines and Angle Bisectors

• Construct perpendicular bisectors and angle bisectors using a pair of compasses and a ruler • Recognise the properties of perpendicular bisectors and angle bisectors • Construct a perpendicular to a line from a point or at a given point using a pair of compasses and a ruler • Construct triangles and quadrilaterals using a pair of compasses, a ruler and a protractor • Construct and describe loci for the paths of points on a plane

6.2 Construction of Triangles and Quadrilaterals

6.3 Loci

Assessment

Geometric

construction and loci Test A.docx

Geometric

construction and loci Test A MS.docx


Chapter 7 – Pythagoras’ Theorem Objective Summary Resources HM

7.1 Pythagoras' Theorem

• State Pythagoras' Theorem

• Apply Pythagoras' Theorem to solve problems involving

right-angled triangles

• Apply the converse of Pythagoras's Theorem to

determine whether a triangle has a right angle

• Recognise and use the perpendicular distance from a

point to a line as the shortest distance to the line

7.2 Applying Pythagoras' Theorem to Solve Problems

7.3 Converse of Pythagoras' Theorem

Assessment

Pythagoras'

Theorem Test A.docx

Pythagoras'

Theorem Test A MS.docx


Chapter 8 – Congruence, Similarity and Enlargement Objective Summary Resources HM

8.1 Congruent triangles

• State the conditions for two triangles to be congruent • Identify congruent triangles • Solve problems involving congruence • Understand the idea of similarity • State the properties of similar polygons • Solve problems involving similarity • Enlarge a plane figure by a scale factor • Interpret scale drawings

8.2 Similarity

8.3 Enlargement of a plane figure

8.4 Scale drawing

Assessment

Congruence and

similarity Test A.docx

Congruence and

similarity Test A MS.docx


Chapter 9 – Trigonometry and Bearings Objective Summary Resources HM

9.1 Finding Unknown Sides in a Right-angled Triangle

• State the definitions of trigonometric ratios (sine, cosine and tangent) of acute angles • Use trigonometric ratios to find unknown sides and angles in right-angled triangles • Apply the trigonometric ratios to solve problems • Measure and calculate bearings • Solve problems involving bearings

9.2 Finding Unknown Angles in a Right-angled Triangle

9.3 Bearings

Assessment

Trigonometry and

Bearings Test A.docx

Trigonometry and

Bearings Test A MS.docx


Chapter 10 – Volume and Surface Area of Pyramids and Cones Objective Summary Resources HM

10.1 Pyramids • Visualise the idea of surface areas of pyramids and cones using nets • Find the surface areas and volumes of pyramids and cones • Find the surface areas and volumes of composite solids involving prisms, cylinders, pyramids and cones

10.2 Cones

Assessment

Volume and SA Test

A.docx

Volume and SA Test

A MS.docx


Chapter 11 – Data Analysis Objective Summary Resources HM

11.1 Histograms

• Draw, analyse and interpret histograms • Calculate the mean, median, mode and range of ungrouped data • Calculate the mean of grouped data • Make comparisons between sets of data

11.2 Mean and range

11.3 Median

11.4 Mean

Assessment

Data Analysis Test

A.docx

Data Analysis Test A

MS.docx


Chapter 12 – Probability Objective Summary Resources HM

12.1 Introducing probability

• Understand probability as a measure of chance • Define the terms sample space, outcome and event • List the sample space for a simple chance situation • Find the probability of a single event • Calculate the probability of a simple combined event using a sample space diagram • Identify mutually exclusive events • Understand and apply the addition of probabilities for two mutually exclusive events

12.2 Probability of single events

12.3 Probability of single combined events

12.4 Mutually exclusive events


Chapter 13 – Sets and Venn Diagrams Objective Summary Resources HM

13.1 Introducing sets

• Use set language and set notation to describe a set of objects, its elements and its subsets • Draw Venn diagrams to represent sets and their elements • Define union and intersection of two sets and represent them using a Venn diagram • Find probabilities using a Venn diagram

13.2 Venn diagrams and complement of a set

13.3 Union and intersection of sets

Assessment

Probability and Sets

Test A.docx

Probability and Sets

Test A MS.docx

chislehurst and sidcup grammar school mathematics department

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