### KS4 – Foundation Mathematics

# TOPIC TITLE
1 Initial Assessment Initial Assessment

2 N

Multiplication and division
Multiplication by 2 and 3 digits

3 N

Multiplication and division
Multiplying 2-digit numbers by multiple of 10

4 N

Multiplication and division
Multiplying 3 and 4-digit numbers by multiples of 100

5 N

Multiplication and division
Multiplying 2-digit numbers by 2-digit numbers

6 N

Multiplication and division
Multiplying 4-digit numbers by 3-digit numbers

7 N

Multiplication and division
Multiplying 4-digit numbers by 4-digit number

8 N

Decimals
Multiplying decimals by 10, 100 and 1000

9 N

Multiplication and division
Repeated subtraction with divisors greater than 20 with…

10 N

Multiplication and division
Repeated subtraction with divisors less than 35 with so…

11 N

Multiplication and division
Repeated subtraction with divisors less than 55 with di…

12 N

Multiplication and division
Repeated subtraction with divisors greater than 50 with…

13 N

Multiplication and division
Using divide, multiply and subtraction in the bring dow…

14 N

Decimals
Dividing decimals by 10, 100 and 1000

15 N

Bidmas
Using Order of Operation procedures (BIDMAS) with Fract…

16 N

Bidmas
Transformations that produce equivalent equations

17 N

Simplifying

18 N

Simplifying
Directed numbers: multiplication and division.

19 N

Decimals
Adding decimals to two decimal places

20 N

Decimals
Subtracting decimals to two decimal places

21 N

Decimals
Using decimals – shopping problems

22 N

Decimals
Rounding decimals

23 N

Decimals
Decimals to three decimal places

24 N

Decimals
Adding decimals with a different number of decimal plac…

25 N

Decimals
Subtracting decimals with a different number of places

26 N

Decimals
Multiplying decimals by whole numbers

27 N

Decimals
Multiplication of decimals by decimals to two decimal p…

28 N

Decimals
Dividing decimal fractions by whole numbers

29 N

Decimals
Dividing numbers by a decimal fraction

30 N

Fractions
Comparing and ordering fractions

31 N

Fractions
mixed numbers (mixed numerals)

32 N

Fractions
Improper fractions

33 N

Fractions
Finding equivalent fractions

34 N

Fractions
Multiplying and dividing to obtain equivalent fractions

35 N

Fractions
Reducing fractions to lowest equivalent form

36 N

Fractions
Comparing and ordering fractions greater than (>) 1

37 N

Fractions
Subtracting fractions from whole numbers

38 N

Fractions
Adding and subtracting fractions with the same denomina…

39 N

Fractions
Adding and subtracting fractions with different denomin…

40 N

Fractions
Multiplying fractions by whole numbers

41 N

Fractions
Fractions of whole numbers

42 N

Fractions
Multiplying fractions

43 N

Fractions
Multiplying mixed numbers (mixed numerals)

44 N

Fractions
Finding reciprocals of fractions and mixed numbers (mix…

45 N

Fractions
Dividing fractions

46 N

Fractions
Dividing mixed numbers (mixed numerals)

47 N

Problem solving
Problems with numbers.

48 N

Problem solving
Problems involving money

49 N

Multiplication and division
Multiples and factors of whole numbers

50 N

Multiples and factors
Highest common factor.

51 N

Multiples and factors
Factors by grouping.

52 N

Indices
Adding indices when multiplying terms with the same bas…

53 N

Indices
Subtracting indices when dividing terms with the same b…

54 N

Indices
Multiplying indices when raising a power to a power

55 N

Indices
Multiplying indices when raising to more than one term

56 N

Indices
Terms raised to the power of zero

57 N

Percentages
Calculating Percentages and Fractions of Quantities

58 N

Percentages
Introduction to percentages, including converting fract…

59 N

Percentages
Changing fractions and decimals to percentages using te…

60 N

Percentages
Changing percentages to fractions and decimals

61 N

Percentages
One quantity as a percentage of another

62 N

Sets
Number sets and their members

63 N

Real numbers
Properties of real numbers using addition and multiplic…

64 M

Time
24 hour time

65 M

Time
Time zones

66 M

Problem solving
Read and calculate distances on a map using the formal …

67 M

Coordinates
Describing position.

68 M

Coordinates
Mapping and grid references

69 M

Coordinates
Main compass points

70 M

Problem solving
Using the metre as a formal unit to measure perimeter

71 M

Problem solving
Using the formal unit of the centimetre to measure leng…

72 M

Problem solving
Compare and convert formal units of measurement

73 M

Mass
The kilogram

74 M

Mass
The gram and net mass

75 M

Mass
The tonne – converting units and problems

76 M

Capacity
Converting between volume and capacity using millilitre…

77 M

Capacity
Using the cubic cm and displacement to measure volume a…

78 M

Capacity
The relationship between the common units of capacity, …

79 M

Capacity
Converting between volume and capacity using kilolitres…

80 M

Capacity
Estimate, measure and compare the capacity of container…

81 M

Problem solving
Areas of rectangles and parallelograms

82 M

Problem solving
Finding the area of a triangle and other composite shap…

83 M

Problem solving
Larger areas: square metre, hectare, square kilometre.

84 M

Problem solving
Comparing and ordering areas.

85 M

Problem solving
Area of a trapezium.

86 M

Problem solving
Area of a rhombus.

87 M

Problem solving
Area of a circle.

88 M

Volume
Introduction to volume. using the cubic centimetre as a…

89 M

Volume
Using the cubic centimetre to measure volume.

90 M

Volume
Introducing the formula for volume.

91 M

Volume
Using the cubic metre to measure volume.

92 M

Volume
Solving Problems about Volume – Part 1.

93 M

Volume
Solving Problems about Volume – Part 2.

94 M

Volume
Finding the volume of prisms

95 M

Surface area
Surface area of a cube/rectangular prism.

96 M

Surface area
Surface area of a triangular/trapezoidal prism.

97 M

Problem solving
Problems with length.

98 M

Problem solving
Problems with mass.

99 M

Problem solving
Problems with area.

100 M

Problem solving
Problems with volume/capacity.

101 G

Triangles
Using the prefix to determine polygons

102 G

3D shapes
Recognise and name prisms according to spatial properti…

103 G

3D shapes
Recognise and name pyramids according to spatial proper…

104 G

3D shapes
Recognise nets for prisms, pyramids, cubes and cones

105 G

3D shapes
Viewing 3-D shapes.

106 G

3D shapes
Constructing models.

107 G

Angles
Measure and classify angles

108 G

Angles
Measuring angles

109 G

Angles

110 G

Angles
Complementary and supplementary angles

111 G

Angles
Vertically opposite angles

112 G

Angles
Angles at a Point.

113 G

Angles
Parallel Lines.

114 G

Angles

115 G

Angles
Angle sum of a triangle

116 G

Angles
Exterior angle theorem

117 G

Angles
To determine angle labelling rules, naming angles accor…

118 G

Angles
More difficult exercises involving parallel lines

119 AS

Series and sequences
Further difficult exercises involving formal reasoning

120 G

Angles
Angles of regular polygons

121 G

Angles
Complementary angle results.

122 G

Angles
Bearings – the compass.

123 G

Construction
Geometric constructions

124 G

Construction
To identify collinear points, coplanar lines and points…

125 G

Construction
Angle bisector construction and its properties (Stage 2…

126 G

Construction
Circumcentre and incentre (Stage 2)

127 G

Construction
Orthocentre and centroids (Stage 2)

128 G

Construction
Constructions and loci – single condition

129 G

Construction
Constructions and loci – multiple conditions

130 G

Triangles
Recognise and name triangles

131 G

Similar shapes
Similar triangles

132 G

Similar shapes
Using similar triangles to calculate lengths

133 G

Midsegments of Triangles

134 G

Triangles
Congruent triangles, Test 1 and 2

135 G

Triangles
Congruent triangles, Test 3 and 4

136 G

Triangles

137 G

Transformations
Use grids to enlarge/reduce 2D shapes

138 G

Transformations
Transformations – reflections

139 G

Transformations
Geometry transformations without matrices: reflection (…

140 G

Transformations
Geometry transformations without matrices: translation …

141 G

Transformations
Geometry transformations without matrices: rotation (St…

142 G

Transformations
Geometry transformations without matrices: dilation or …

143 G

Transformations
The definition and concept of combined transformations …

144 G

Pythagoras
Find the hypotenuse

145 G

Pythagoras
Pythagorean triples

146 G

Pythagoras
Find the hypotenuse Part 2

147 G

Pythagoras
Calculating a leg of a right-angled triangle

148 G

Pythagoras
Proofs of Pythagoras theorem

149 AS

Series and sequences
General sequences.

150 AS

Series and sequences
Finding Tn given Sn.

151 A

Simplifying
Algebraic expressions.

152 A

Simplifying
Simplifying algebraic expressions: adding like terms.

153 A

Simplifying
Simplifying algebraic Expressions: subtracting like ter…

154 A

Simplifying
Simplifying Algebraic expressions: combining addition a…

155 A

Simplifying
Simplifying algebraic expressions: multiplication

156 A

Simplifying
Simplifying algebraic expressions: division

157 A

Simplifying
Expanding algebraic expressions: multiplication

158 A

Simplifying
Expanding algebraic expressions: negative multiplier

159 A

Simplifying
Expanding and simplifying algebraic expressions

160 A

Simplifying
Simplifying algebraic fractions using the index laws.

161 A

Inequalities
Simplifying absolute values

162 A

Equations
Solving equations containing addition and subtraction

163 A

Equations
Solving equations containing multiplication and divisio…

164 A

Equations
Solving two step equations

165 A

Equations
Solving equations containing binomial expressions

166 A

Equations
Equations involving grouping symbols.

167 A

Inequalities
Solving for the variable

168 A

Factorising
Expansions leading to the difference of two squares

169 A

Factorising
Common factor and the difference of two squares

170 A

Factorising
Factorising quadratic trinomials [monic] – Case 2.

171 A

Factorising
Factorising quadratic trinomials [monic] – Case 3.

172 A

Factorising
Factorising quadratic trinomials [monic] – Case 4.

173 A

Simplifying
Substitution into algebraic expressions.

174 A

Formulae
Equations resulting from substitution into formulae.

175 A

Formulae
Changing the subject of the formula.

176 A

Inequalities
Solving Inequalities.

177 A

Inequalities
Solving and graphing inequalities

178 A

Inequalities
Inequalities on the number plane.

179 S

Scatter diagrams
The range.

180 S

Probability
The mode

181 S

Probability
The mean

182 S

Probability
The median

183 S

Probability
Calculating the median from a frequency distribution

184 S

Averages
Calculating mean, mode and median from grouped data

185 S

Pie charts
Bar Charts

186 S

Pie charts
Line graphs.

187 S

Pie charts
Pictograms

188 S

Pie charts
Pie and bar graphs.

189 S

Scatter diagrams
Scatter Diagrams

190 S

Scatter diagrams
Stem and Leaf Plots along with Box and Whisker Plots

191 P

Scatter diagrams
Frequency distribution table

192 P

Scatter diagrams
Relative frequency

193 P

Probability
Probability of Simple Events

194 P

Probability
Rolling a pair of dice

195 P

Probability
Experimental probability

196 P

Probability
Tree diagrams – not depending on previous outcomes

197 P

Probability
Tree diagrams – depending on previous outcomes

198 End of Course Assessment End of Course Assessment