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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