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Maths - Year 9

Lesson

Population

Topic

1

 

 

 

9W, 9O and 9T

Calculating probabilities 1

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Calculating probabilities 2

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Comparing probabilities

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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

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Theoretical / experimental probability / relative frequency 2

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Probability diagrams sample space (Part 1)

 

9S

Forming and exploring equations

9S

Solving one-step equations

 

3

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Probability diagrams sample space (Part 2)

  

9S

Solving two-step equations

 

4

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Probability diagrams and Venn diagrams

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Independent events and tree diagrams (Part 1)

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Independent events and tree diagrams (Part 2)

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Parts of a circle

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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

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Fractions of a circle

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Compound perimeter

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Area of a circle

 

9S

Dividing into a ratio

9S

Dividing into a ratio 2

9S

Proportional relationships

 

6

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Area of sectors

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Pythagoras' Theorem - Tilted squares

 

9S

Direct proportion 1

9S

Direct proportion 2

 

7

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

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Pythagoras' Theorem - Right angled triangles and tilted squares

  

9S

Direct proportion 3

 

 8

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Pythagoras' Theorem - Generalising Pythagoras' Theorem

 

9S

Inverse proportion

   

 9

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Volume of prisms and cylinders - Prisms and cylinders

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Volume of prisms and cylinders - Cuboids

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Volume of prisms and cylinders

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Surface area of prisms and cylinders

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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

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Surface area of prisms and cylinders - Surface area of cuboids

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Surface area of prisms and cylinders - Surface area of cylinders

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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

 

25

Foundation 

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 

Draw and interpret a frequency tree

 

Higher 

Percentages

Increase and decrease an amount by a percentage 

Calculate percentage change

Reverse percentages

Simple interest

 

26

Foundation 

Equivalent Fractions 

Simplifying Fractions

  

Higher 

FDP and recurring decimals

Write a fraction as a recurring decimal using division 

Recurring decimals where one number repeats

Recurring decimals where 2 or more numbers repeat 

Recurring decimals where one number after the decimal point is fixed and the others repeat

  

 27

Foundation 

Comparing two fractions 

Ordering three or more fractions

Adding and subtracting fractions < 1

  

Higher 

Angles properties of triangles and quadrilaterals

Find missing angles in a triangle

Find missing angles in a quadrilateral

Find missing angles in a special quadrilateral 

  

28

Foundation

Adding mixed numbers 

Subtracting mixed numbers

Mixed fraction addition and subtraction problems

  

Higher

Angles of a polygon

Finding the sum of interior angles in a polygon 

Find the number of sides when given the sum of interior angles

Find missing angles when two or more polygons are joined

Find missing exterior angles

Solve problems involving exterior angles

Find missing exterior angles of polygons

 

29

Foundation 

Multiplying a fraction by an integer

Multiplying a fraction by a fraction

Dividing a fraction by an integer

Dividing a fraction by a fraction

 

Higher 

Pythagoras’ theorem

Know and Understand Pythagoras' theorem

Find the length of the hypotenuse

Find the length of the shorter side

Mixture of Finding a Missing Length

Use Pythagoras' theorem to show that a triangle is right-angled

 

30

Foundation 

Fraction of an amount 

Increasing and decreasing by a fraction of an amount

 

Higher

Trigonometry

 Know tangent, sine and cosine

Use tangent to find a length

Use sine and cosine to find a length

Applying Trigonometry

Solve basic trigonometry equations

Use inverse functions to find an angle

Solve problems mixing angles and sides 

Know the trigonometry ratios for 0°, 30°, 45°, 60° and 90°

Substitute the exact values to find a missing length

 

31

Foundation

Find the whole when given a fraction of an amount

Application of fraction of an amount skills

Simple percentages without a calculator

 

Higher 

Linear graphs

Find the gradient of a line

Find the equation of a straight line using y=mx+c

Find the intercept and gradient from a line given in any form

Using gradient to solve problems with parallel lines 

 

32

Foundation 

Decimal multiplier method to find percentages of an amount

Fractions greater than 1 and percentages above 100%

Express one number as a fraction or percentage of another without a calculator

 

Higher 

Distance-time and velocity-time graphs

Distance-time graphs

Calculate speed from distance time-graphs

Velocity-time graphs

Acceleration from a velocity-time graph

 

33

Foundation 

Increase and Decrease an Amount by a Percentage

Calculate Percentage Change

Reverse Percentages

Simple Interest

 

Higher

Real life graphs and proportion

 Interpret gradient and intercept on real life graphs

 

34

Foundation

Repeated percentage increase

Repeated percentage decrease

  

Higher

 

Line segments and parallel/perpendicular lines

Write the equation of a straight line if parallel to a line and passing through (0,n)

Write the equation of a straight line if parallel to a line and passing through any point

Find the equation of a straight line through two given points

Use Pythagoras’ theorem to find the length of a line segment

 

35

Foundation 

Repeated percentage increase and decrease

Solve problems with repeated percentage change

Change percentages to fractions and decimals

 

Higher

Quadratic, cubic and reciprocal graphs 

Plot simple quadratic equations

Plot other quadratic equations

Solving Quadratic Equations Graphically

Draw graphs of simple cubic functions using a table of values

Interpret graphs of simple cubic functions, including finding solutions to cubic equations 

Recognise, draw, sketch and interpret graphs of the reciprocal function y = 1/x 

  

 

Maths Contacts

Miss Davis

davish@wscampus.net

Mr Hall

hallm@wscampus.net

Mr Hedjazi

hedjazia@wscampus.net

Mr Johnstone

johnstoned@wscampus.net

Miss Makey

makeyn@wscampus.net

Miss Riley

rileyt@wscampus.net