Maths - Year 9

Lesson

Population

Topic

1

9W, 9O and 9T

Calculating probabilities 1

9W, 9O and 9T

Calculating probabilities 2

9W, 9O and 9T

Comparing probabilities

9W, 9O and 9T

Theoretical / experimental probability / relative frequency 1

9S

Simplify Expressions by Collecting Like Terms 1

9S

Simplify Expressions by Multiplying Terms 2

9S

Algebraic expressions

2

9W, 9O and 9T

Theoretical / experimental probability / relative frequency 2

9W, 9O and 9T

Probability diagrams sample space (Part 1)

9S

Forming and exploring equations

9S

Solving one-step equations

3

9W, 9O and 9T

Probability diagrams sample space (Part 2)

9S

Solving two-step equations

4

9W, 9O and 9T

Probability diagrams and Venn diagrams

9W, 9O and 9T

Independent events and tree diagrams (Part 1)

9W, 9O and 9T

Independent events and tree diagrams (Part 2)

9W, 9O and 9T

Parts of a circle

9W, 9O and 9T

Circumference of a circle

9S

Solving equations with brackets

9S

Solving equations with unknown on both sides

9S

Ratio groups  

9S

In the same ratio

9S

Equivalent ratio

5

9W, 9O and 9T

Fractions of a circle

9W, 9O and 9T

Compound perimeter

9W, 9O and 9T

Area of a circle

9S

Dividing into a ratio

9S

Dividing into a ratio 2

9S

Proportional relationships

6

9W, 9O and 9T

Area of sectors

9W, 9O and 9T

Pythagoras' Theorem - Tilted squares

9S

Direct proportion 1

9S

Direct proportion 2

7

9W, 9O and 9T

Pythagoras' Theorem - Finding the length of a line from tilted squares

9W, 9O and 9T

Pythagoras' Theorem - Right angled triangles and tilted squares

9S

Direct proportion 3

 8

9W, 9O and 9T

Pythagoras' Theorem - Generalising Pythagoras' Theorem

9S

Inverse proportion

 9

9W, 9O and 9T

Volume of prisms and cylinders - Prisms and cylinders

9W, 9O and 9T

Volume of prisms and cylinders - Cuboids

9W, 9O and 9T

Volume of prisms and cylinders

9W, 9O and 9T

Surface area of prisms and cylinders

9W, 9O and 9T

Surface area of prisms and cylinders - Surface area conjectures

9S

Inverse proportion in context

9S

Direct or inverse proportion

9S

Length conversion

9S

Metric length problem solving

 10

9W, 9O and 9T

Surface area of prisms and cylinders - Surface area of cuboids

9W, 9O and 9T

Surface area of prisms and cylinders - Surface area of cylinders

9W, 9O and 9T

Lower and upper bounds  

9S

Metric length problem solving 2

 11

Foundation 

Adding directed numbers  

Subtract directed numbers 

Multiply and divide directed numbers 

Higher 

Place value and estimating 

HCF (product of primes) - Multiples and factor pairs

HCF (product of primes) - Identify prime numbers

       12

Foundation 

Order of operations

Square and cube numbers 

Square roots and cube roots 

Higher 

LCM (product of primes) - Multiples and factor pairs

LCM (product of primes) - Identify prime numbers

Indices - Multiply powers 

Indices - Divide powers

Indices - Powers of powers 

Negative integer indices and the power of zero

Fractional indices

Fractional indices advanced

Negative and fractional indices mixed skills 

       13

Foundation 

Multiply powers  

Divide powers

Powers of powers 

Multiples and factor pairs 

Higher 

Convert large numbers to standard form

Convert large standard form numbers to ordinary form

Convert small numbers to standard form

Convert small standard form numbers to ordinary form

Multiplying two numbers in standard form

Dividing two numbers in standard form

Adding two numbers in standard form

Subtracting two numbers in standard form 

14

Foundation

Identify prime numbers 

Prime factor decomposition 

Higher

Identify rational and irrational numbers 

Simplify simple surds  

Simplify a surd of the form a√b

Write a√b in form √x

Rationalising surds - Part 1 

 15

Foundation 

Simple LCM and HCF 

Finding the LCM

Finding the HCF

Higher 

Expand 2 brackets and simplify expressions - Part 1

Expand 2 brackets and simplify expressions - Part 2

 16

Foundation 

Round to two decimal places

Round up to three significant figures

Limits of accuracy 

Estimating answers 

Higher

Factorising single brackets

Factorising single brackets - factor our a letter 

Factorising single brackets - factor a number and a letter 

Factorising single brackets - more complicated expressions 

Solving equations with brackets

Solving equations with unknown on both sides

Substitute a positive term into a formula

Substitute a negative term into a formula 

 17

Foundation

Simplify expressions by collecting like terms

Simplify expressions by multiplying terms

Expand a term over a single bracket 

Expand a term over a single bracket including powers 

Higher 

Change the subject of a formula 

Change the subject of a formula with squares and square roots 

Write the nth term of a linear sequence 

Find terms of a linear sequence  

18

Foundation 

Expand and simplify double brackets 

Expand and simplify double brackets (coefficient of x greater than 1) 

Higher 

Simple quadratic and cubic sequences 

Triangular and Fibonacci style sequences 

Find the nth term of a quadratic sequence  

Expand and simplify double brackets 

Expand and simplify double brackets (coefficient of greater than 1) 

Factorise a quadratic

Factorise a quadratic (difference of two squares) 

19

Foundation 

Substitute a positive term into a formula

Substitute a negative term into a formula 

Factorising single brackets 

Higher

Construct pie charts

20

Foundation

Factorising single brackets: Factor a number and a letter

Factorising single brackets: Factor a number and a letter 

Factorising single brackets (more complicated expressions)

Higher

Time series graphs  

 21

Foundation 

Data collection 

Bar charts

Pictograms 

Interpret timetables and distance tables 

Higher

Plot a scatter graph and describe correlation 

Identify and explain outliers from a scatter diagram 

Use a line of best fit on a scatter graph  

Mean from a frequency table 

Mean from a grouped frequency table 

Design and interpret two way tables 

 22

Foundation

Find the mean, median, mode and range from a list of numbers

Stem and leaf diagrams

Higher 

Fractions

Adding and subtracting fractions < 1

Adding mixed numbers 

Subtracting mixed numbers

Mixed fraction addition and subtraction problems

Multiplying a fraction by an integer

Multiplying a fraction by a fraction

Dividing a fraction by an integer

Dividing a fraction by a fraction

23

Foundation

Mean from a frequency table 

Mean from a grouped frequency table

Interpret timetables and distance tables

Higher 

Ratios

Simplifying ratios 

Divide a quantity in a given ratio

Find a part given a part

Find the total or difference given a part

Ratio and fractions

24

Foundation

Design and interpret two-way tables 

Plot and interpret time-series graphs

Draw and interpret pie charts

Higher 

Ratio and proportion

Compare the cost of two items using the unitary method

Using direct proportion graphs 

Proportion problems