Maths - Year 10

Lesson

Set

Topic

1

Sets 1 and 2

Tangent, Sine and Cosine

Sets1 and 2

Tangent to find a length

Sets 3, 4 and 5

Angles in parallel lines (one transversal)

Sets 3,4 and 5

Angles in parallel lines (two transversals)

Set 6

Understanding which operations have equal priority

Set 6

Order of operations

2

Sets 1 and 2

Sine and Cosine to find a length

Sets 1 and 2

Applying Trigonometry

Sets 1 and 2

Knowing Trig ratios

Sets 3, 4 and 5

Exterior Angles

Sets 3, 4 and 5

Problems involving exterior angles

Sets 3, 4 and 5

Sum of interior angles

Set 6

Rounding to two decimal places

Set 6

Rounding to three significant figures

Set 6

Multiplying decimals

3

Sets 1 and 2

Pythagoras – finding the length of the hypotenuse

Sets 3, 4 and 5

Finding number of sides when given sum of interior angles

Set 6

Division of a decimal by an integer

4

Sets 1 and 2

Pythagoras – finding the length of the shorter side

Sets 3, 4 and 5

Finding missing angles when two or more polygons are joined

Set 6

Decimal divided by decimal

5

Sets 1 and 2

Trig Ratios

Sets 1 and 2

Use Tangent to find a length

Sets 3, 4 and 5

Finding the mean

Sets 3, 4 and 5

Finding the median, mode and range

 Set 6

Multiples and factors

Set 6

Finding the LCM

Set 6

Finding the HCF

6

Sets 1 and 2

Use Sin/Cosine to find a length

Sets 1 and 2

Use inverse functions to find an angle

Sets 1 and 2

Finding the intercept and gradient

Sets 3, 4 and 5

Estimating the mean from a grouped table

Sets 3, 4 and 5

Describing perimeter

Sets 3, 4 and 5

Areas of rectangles, parallelograms and triangles

Set 6

Square numbers and cube numbers

Set 6

Square roots and cube roots

Set 6

Index laws for multiplication

7

Sets 1 and 2

Parallel lines passing through the y axis

Sets 3, 4 and 5

Area of a trapezium

 Set 6

Index laws for division

8

Sets 1 and 2

Parallel lines passing through a point

Sets 3, 4 and 5

Areas of compound shapes

Set 6

Prime factors

9

Sets 1 and 2

Perpendicular gradient

Sets 1 and 2

Perpendicular through a point

Sets 3, 4 and 5

Volume of a cuboid

Sets 3, 4 and 5

Volume of a cylinder

Set 6

Collecting like terms

Set 6

Substitute a positive term into a formula

10

Sets 1 and 2

Quadratic graphs (1)

Sets 1 and 2

Quadratic graphs (2)

Sets 1 and 2

Cubic graphs

Sets 1 and 2

Reciprocal graphs

Sets 3, 4 and 5

Surface area of a cuboid

Sets 3, 4 and 5

Surface area of a cylinder

Sets 3, 4 and 5

Surface area of a triangular prism

Set 6

Substitute a negative term into a formula

Set 6

Expanding Brackets (term over a single bracket)

Set 6

Expanding Brackets (including powers)

11 

Sets 1 and 2

Reflecting in a given horizontal or vertical line - Part 1 

Reflecting in a given horizontal or vertical line - Part 2

Reflecting in a given diagonal line - Part 1 

Reflecting in a given diagonal line - Part 2

Rotate an object around a given point

Rotate an object around a given coordinate 

Sets 3 and 4

Translation  

Reflection in a given horizontal line - Part 1

Reflection in a given horizontal line - Part 2

Set 5

Linear and non-linear graphs 

Gradient - Part 1

Gradient - Part 2 

Set 6

Add fractions 

Subtract fractions

12

Sets 1 and 2

Enlarge an object with a positive scale factor 

Enlarge an object with a positive scale factor from a given coordinate  

Enlargement with a negative scale factor

Describe an enlargement with a negative scale factor

Translate and describe an object given a horizontal or vertical instruction

Translate and describe a 2D vector

Represent a column vector as a diagram and using notation

Write a column vector from a diagram

Construct triangles 

Sets 3 and 4

Reflection in a given diagonal line - Part 1

Reflection in a given diagonal line - Part 2

Combining translations and reflections

Rotate an object around a given point

Rotate an object around a given coordinate 

Set 5

Comparing gradients 

y = mx + c

Equations of lines

Equivalent lines

Set 6

Fractions problem solving 

Multiplying a fraction by a fraction

Multiplying a fraction by an integer 

Dividing a fraction by a fraction

Dividing a fraction by an integer 

13

Sets 1 and 2

Construct a perpendicular bisector  

Construct a perpendicular bisector from a point to a line

Construct an angle bisector 

Sets 3 and 4

Enlarge an object with a positive scale factor

Enlarge an object with a positive scale factor from a given coordinate  

Set 5

Translation 

Set 6

Solve one-step equations

14

Sets 1 and 2

Solve a quadratic equation by factorising

Factorise a quadratic (difference of two squares) 

Solve where 𝒚 = and 𝒚 = (setting the equations equal to one another)

Solve where 𝒙² + 𝒚² = 𝒓 and 𝒙 + 𝒚 = 𝟑 (substituting)

Sets 3 and 4

Describing enlargements  

Mixed transformations 

Set 5

Reflection in a given horizontal line - Part 1 

Reflection in a given horizontal line - Part 2

Reflection in a given diagonal line - Part 1 

Reflection in a given diagonal line - Part 2

Set 6

Solve two-step equations 

Solve equations with brackets

15

Sets 1 and 2

Solving inequalities 

Solving inequalities with an unknown on both sides 

Sets 3 and 4

Equivalent ratios 

Dividing in to ratio - Part 1

Set 5

Combining reflections and translations  

Rotate an object around a given point

Rotate an object around a given coordinate 

Set 6

Solve equations with an unknown on both sides

Solve equations that improve simplification

16

Sets 1 and 2

Solving inequalities involving algebraic fractions 

Sets 3 and 4

Dividing in to a ratio - Part 2  

Set 5

 Enlarge an object with a positive scale factor

Enlarge an object with a positive scale factor from a given coordinate

Enlargements and area

Mixed transformations

Set 6

Nth term 

Generating terms 

Number lines and equalities 

17 

Sets 1 and 2

Language of probability  

Equally likely events

Sets 3 and 4

Representing ratio 

Ratio problems

Set 5

Equivalent ratios 

Dividing in to a ratio - Part 1

Set 6

Solve one and two-step inequalities 

Angles in parallel lines with one transversal 

Angles in parallel lines with two transversals 

18

Sets 1 and 2

Probability of an event not occurring 

Sample space diagrams 

Sets 3 and 4

Direct proportion  

Inverse proportion 

 Set 5

Dividing in to a ratio - Part 2 

Direct proportion

Set 6

Exterior angles - Find missing exterior angles

Exterior angles - Sole problems involving exterior angles

Interior angles and polygons - Finding the sum of the interior angles in a polygon

Interior angles and polygons - Find the number of sides when given the sum of interior angles

19 

Sets 1 and 2

Venn diagrams

Sets 3 and 4

Direct or inverse proportion?

Set 5

Inverse proportion  

Set 6

Mean from a frequency table 

20

Sets 1 and 2

Tree diagrams for dependent events  

Sets 3 and 4

Pythagoras' theorem 

 Set 5

Pythagoras' theorem 

 Set 6

Mean from grouped data 

21

Sets 1 and 2

Tree diagrams for independent events

Sets 3 and 4

 Pythagorean triple

Set 5

Pythagorean triple

Set 6

Median, mode and range

22

Sets 1 and 2

Higher

Compound Measures

Use and apply the speed formula

Use and apply the density formula

Use and apply the pressure formula

Solve simple kinematics problems (velocity, initial velocity and acceleration formulae)

Sets 3, 4 and 5

Foundation

Probability (scale and equally likely events)

Use the language of probability and the probability scale

Calculate probabilities from equally likely events

Find the probability of an event not happening including using a table (include mutually exclusive and exhaustive)

Find the predicted number of outcomes

Set 6

Foundation

Averages and range

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

23

Sets 1 and 2

Higher

Direct and inverse proportion 

Simple direct proportion y = kx

Other direct proportion relationships

Inverse proportion

Further proportionality

Sets 3, 4 and 5

Foundation

Probability (sample space diagrams, Venn diagrams and experimental)

List outcomes in a sample space diagram (two-way table) and calculate probabilities

Calculate experimental probabilities and make predictions (relative frequency)

Find probabilities from Venn diagrams including basic set notation

Find probabilities from frequency trees

Set 6

Foundation

Finding the mean from frequency tables 

Mean from frequency tables

24

Sets 1 and 2

Higher

Similarity 

Identify similar shapes and show shapes are similar

Find missing lengths in similar separate shapes

Find missing lengths in similar shapes which have sides overlapping

Find areas of similar shapes given corresponding lengths

Find volumes of similar shapes given corresponding lengths

Sets 3, 4 and 5

Foundation

Tree diagrams (independent events)

Draw a tree diagram for independent events

Calculate probabilities of independent events

Set 6

Foundation

Area of parallelograms, triangles and trapezia

Area of parallelograms

Area of triangles

Area of a trapezium

25

Sets 1 and 2

Higher

Congruence

Congruence

Congruence and triangles (Part 1)

Congruence and triangles (Part 2)

Sets 3, 4 and 5

Foundation

Tree diagrams (dependent events) 

Draw a tree diagram for dependent events

Calculate probabilities of dependent events

Set 6

Foundation

Volumes of cubes and cuboids 

Volume of Cubes and Cuboids

26

Sets 1 and 2

Higher

Trigonometric graphs 

Know the Graphs of 𝑦=sin⁡(𝑥), 𝑦=cos⁡(𝑥) and 𝑦=tan⁡(𝑥)

Sets 3, 4 and 5

Foundation

Growth and decay 

To the power of n

Exponential growth

Set 6

Foundation

Surface area of cubes and cuboids 

Finding the Surface Area of Cubes and Cuboids

27

Sets 1 and 2

Higher

Graph transformations  

Transformation of graphs (translations)

Transformation of graphs (reflections)

Sets 3, 4 and 5

Foundation

Repeated percentages and compounding interest 

Repeated percentage change

Compound appreciation and depreciation (Part 1)

Compound appreciation and depreciation (Part 2)

Set 6

Foundation

2D Coordinates

The 2-D coordinate axis

Coordinates recap

28

Sets 1 and 2

Higher

Area of a triangle using Trigonometry 

Area of a Triangle Using A = ½ absinC

Use A = ½ absinC to Find a Missing Length

Sets 3, 4 and 5

Foundation

Compound measures 

Use and apply the speed formula

Use and apply the density formula

Use and apply the pressure formula

Solve simple kinematics problems (velocity, initial velocity and acceleration formulae)

Set 6

Foundation

Gradient 

Gradient 1

Gradient (Part 2)

29

Sets 1 and 2

Higher

Sine rule 

Use the sine rule to find a missing length

Use the sine rule to find a missing angle

Sets 3, 4 and 5

Foundation

Direct and inverse proportion

Simple direct proportion y = kx

Other direct proportion relationships

Inverse proportion

Further proportionality

Set 6

Foundation

y = mx + c and equations of lines 

y = mx + c

Equations of lines

 30

Sets 1 and 2

Higher

Cosine rule 

Use the cosine rule to find a missing length

Use the cosine rule to find a missing angle

Sets 3, 4 and 5

Foundation

Construct a triangle 

Construct triangles

Set 6

Foundation

Drawing a linear graph using a table of values 

Draw graphs of the form y=mx+c by using a table of values

31

Sets 1 and 2

Higher 

Data collection

Sampling methods

Stratified sampling

Capture-recapture

Sets 3, 4 and 5

Foundation

Constructing bisectors 

Construct a perpendicular bisector

Construct a perpendicular bisector from a point to a line

Construct an angle bisector

Set 6

Foundation

Translations and rotations

Translation

Rotation

32

Sets 1 and 2

Higher

Cumulative frequency diagrams and box plots 

Plot a cumulative frequency diagram

Find quartiles and interquartile range from CF diagram

Find quartiles from a list of data

Plot a box plot and compare distributions

Sets 3, 4 and 5

Foundation

Loci around a point  

Set 6

Foundation

Reflections and enlargements

Reflection

Enlargements

33

Sets 1 and 2

Higher

Histograms 

Plot a histogram

Find frequency from a histogram

Find the median from a histogram

Find probabilities from a histogram

Sets 3, 4 and 5

Foundation

Loci from a line 

Set 6

Foundation

Simplifying ratios 

Simplifying ratios 

34

Sets 1 and 2

Higher

Solving simultaneous equations graphically 

Representing simultaneous equations graphically (Part 1)

Representing simultaneous equations graphically (Part 2)

Sets 3, 4 and 5

Foundation

Loci from a shape

Set 6

Foundation

Divide a quantity in a given ratio 

Divide a quantity in a given ratio

35

Sets 1 and 2

Higher

Solving inequalities graphically 

Solving inequalities graphically (Part 1)

Solving inequalities graphically (Part 2)

Shading regions to satisfy a set of inequalities

Sets 3, 4 and 5

Foundation

Equidistant from two points 

Set 6

Foundation

Finding a part given a part, or total/difference given a part

Find a part given a part 

Find the total or difference given a part

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