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
2 Return to KS3 Unit Schedule Overview
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
3 Return to KS3 Unit Schedule Overview
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.
5 Return to KS3 Unit Schedule Overview
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
6 Return to KS3 Unit Schedule Overview
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
7 Return to KS3 Unit Schedule Overview
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
8 Return to KS3 Unit Schedule Overview
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
9 Return to KS3 Unit Schedule Overview
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
10 Return to KS3 Unit Schedule Overview
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
• Use the four operations with decimals
6.4 Division of a decimal by integers.
• Use the four operations with decimals
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
11 Return to KS3 Unit Schedule Overview
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
12 Return to KS3 Unit Schedule Overview
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
13 Return to KS3 Unit Schedule Overview
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
14 Return to KS3 Unit Schedule Overview
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
15 Return to KS3 Unit Schedule Overview
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
16 Return to KS3 Unit Schedule Overview
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
18 Return to KS3 Unit Schedule Overview
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
19 Return to KS3 Unit Schedule Overview
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
20 Return to KS3 Unit Schedule Overview
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
21 Return to KS3 Unit Schedule Overview
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
22 Return to KS3 Unit Schedule Overview
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
23 Return to KS3 Unit Schedule Overview
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
24 Return to KS3 Unit Schedule Overview
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
25 Return to KS3 Unit Schedule Overview
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
26 Return to KS3 Unit Schedule Overview
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
27 Return to KS3 Unit Schedule Overview
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
28 Return to KS3 Unit Schedule Overview
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
29 Return to KS3 Unit Schedule Overview
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
31 Return to KS3 Unit Schedule Overview
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
32 Return to KS3 Unit Schedule Overview
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
33 Return to KS3 Unit Schedule Overview
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
34 Return to KS3 Unit Schedule Overview
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
35 Return to KS3 Unit Schedule Overview
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
36 Return to KS3 Unit Schedule Overview
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
37 Return to KS3 Unit Schedule Overview
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
38 Return to KS3 Unit Schedule Overview
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
39 Return to KS3 Unit Schedule Overview
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
40 Return to KS3 Unit Schedule Overview
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
41 Return to KS3 Unit Schedule Overview
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
42 Return to KS3 Unit Schedule Overview
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
43 Return to KS3 Unit Schedule Overview
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
Top Related