### Scotland Level 3: S3 Mathematics

# TOPIC TITLE
1 Initial Assessment Initial Assessment
2 Problem solving Problems with numbers.
3 Problem solving Problems involving money
4 Fractions Comparing and ordering fractions
5 Fractions Comparing and ordering fractions greater than (>) 1
6 Fractions Adding and subtracting fractions with different denomin…
7 Fractions Multiplying fractions by whole numbers
8 Fractions Fractions of whole numbers
9 Fractions Multiplying fractions
10 Fractions Multiplying mixed numbers (mixed numerals)
11 Fractions Finding reciprocals of fractions and mixed numbers (mix…
12 Fractions Dividing fractions
13 Fractions Dividing mixed numbers (mixed numerals)
14 Simplifying Simplifying algebraic fractions using the index laws.
15 Decimals Rounding decimals
16 Decimals Decimals to three decimal places
17 Approximation Significant figures
18 Decimals Adding decimals with a different number of decimal plac…
19 Decimals Subtracting decimals with a different number of places
20 Decimals Multiplying decimals by whole numbers
21 Decimals Multiplication of decimals by decimals to two decimal p…
22 Decimals Dividing decimal fractions by whole numbers
23 Decimals Dividing numbers by a decimal fraction
24 Percentages Calculating Percentages and Fractions of Quantities
25 Percentages Introduction to percentages, including relating common …
26 Percentages Changing fractions and decimals to percentages using te…
27 Percentages Changing percentages to fractions and decimals
28 Percentages One quantity as a percentage of another
29 Percentages Compound interest
30 Standard form Scientific notation with larger numbers
31 Standard form Scientific notation with small numbers
32 Standard form Changing scientific notation to numerals
33 Multiplication and division Multiples and factors of whole numbers
34 Multiples and factors Highest common factor.
35 Multiples and factors Factors by grouping.
36 Speed Average speed
37 Indices Adding indices when multiplying terms with the same bas…
38 Indices Subtracting indices when dividing terms with the same b…
39 Indices Multiplying indices when raising a power to a power
40 Indices Multiplying indices when raising to more than one term
41 Indices Terms raised to the power of zero
42 Indices Negative Indices
43 Indices Fractional indices
44 Problem solving Introducing the rules for finding the area of a rectang…
45 Problem solving Finding the area of a triangle and other composite shap…
46 Problem solving Larger areas: square metre, hectare, square kilometre.
47 Problem solving Comparing and ordering areas.
48 Problem solving Area of a trapezium.
49 Problem solving Area of a rhombus.
50 Problem solving Area of a circle.
51 Problem solving Area of regular polygons and composite figures.
52 Volume Introduction to volume. using the cubic centimetre as a…
53 Volume Using the cubic centimetre to measure volume.
54 Volume Introducing the formula for volume.
55 Volume Using the cubic metre to measure volume.
56 Volume Solving Problems about Volume – Part 1.
57 Volume Solving Problems about Volume – Part 2.
58 Volume Finding the volume of prisms
59 Problem solving Problems with length.
60 Problem solving Problems with mass.
61 Problem solving Problems with area.
62 Problem solving Problems with volume/capacity.
63 Surface area Surface area of a cube/rectangular prism.
64 Surface area Surface area of a triangular/trapezoidal prism.
66 Angles Complementary and supplementary angles
67 Angles Vertically opposite angles
68 Angles Angles at a Point.
69 Angles Parallel Lines.
70 Angles Additional questions involving parallel lines
71 Angles Angle sum of a triangle
72 Angles Exterior angle theorem
73 Angles To determine angle labelling rules, naming angles accor…
74 Angles More difficult exercises involving parallel lines
75 Series and sequences Further difficult exercises involving formal reasoning
76 Angles Angles of regular polygons
77 Angles Complementary angle results.
78 Angles Bearings – the compass.
79 Triangles Recognise and name triangles
81 Triangles Congruent triangles, Test 1 and 2
82 Triangles Congruent triangles, Test 3 and 4
83 Triangles Spatial properties of quadrilaterals
84 Pythagoras Find the hypotenuse
85 Pythagoras Pythagorean triples
86 Pythagoras Find the hypotenuse Part 2
87 Pythagoras Calculating a leg of a right-angled triangle
88 Pythagoras Proofs of Pythagoras theorem
89 Construction Geometric constructions
90 Construction To identify collinear points, coplanar lines and points…
91 Construction Angle bisector construction and its properties (Stage 2…
92 Construction Circumcentre and incentre (Stage 2)
93 Construction Orthocentre and centroids (Stage 2)
94 Construction Constructions and loci – single condition
95 Construction Constructions and loci – multiple conditions
96 Transformations Use grids to enlarge/reduce 2D shapes
97 Transformations Transformations – reflections
98 Transformations Geometry transformations without matrices: reflection (…
99 Transformations Geometry transformations without matrices: translation …
100 Transformations Geometry transformations without matrices: rotation (St…
101 Transformations Geometry transformations without matrices: dilation or …
102 Transformations The definition and concept of combined transformations …
103 Trigonometry Trigonometric ratios.
104 Trigonometry Using the calculator.
105 Trigonometry Using the trigonometric ratios to find unknown length. …
106 Trigonometry Using the trigonometric ratios to find unknown length. …
107 Trigonometry Using the trigonometric ratios to find unknown length. …
108 Trigonometry Unknown in the denominator. [Case 4].
109 Trigonometry Using the calculator to find an angle given a trigonome…
110 Trigonometry Using the trigonometric ratios to find an angle in a ri…
111 Series and sequences General sequences.
112 Series and sequences Finding Tn given Sn.
113 Simplifying Algebraic expressions.
114 Simplifying Substitution into algebraic expressions.
115 Formulae Equations resulting from substitution into formulae.
116 Formulae Changing the subject of the formula.
117 Simplifying Simplifying algebraic expressions: multiplication
118 Simplifying Simplifying algebraic expressions: division
119 Simplifying Expanding algebraic expressions: multiplication
120 Simplifying Expanding algebraic expressions: negative multiplier
121 Simplifying Expanding and simplifying algebraic expressions
122 Inequalities Simplifying absolute values
123 Equations Solving equations containing addition and subtraction
124 Equations Solving equations containing multiplication and divisio…
125 Equations Solving two step equations
126 Equations Solving equations containing binomial expressions
127 Equations Equations involving grouping symbols.
128 Equations Equations involving fractions.
129 Inequalities Solving for the variable
130 Equations Simultaneous equations
131 Equations Elimination method
132 Equations Elimination method part 2
133 Equations Applications of simultaneous equations
134 Graphs Quadratic polynomials of the form y = ax. + bx + c.
135 Factorising Expansions leading to the difference of two squares
136 Factorising Common factor and the difference of two squares
137 Factorising Factorising quadratic trinomials [monic] – Case 2.
138 Factorising Factorising quadratic trinomials [monic] – Case 3.
139 Factorising Factorising quadratic trinomials [monic] – Case 4.
140 Inequalities Solving Inequalities.
141 Inequalities Inequalities on the number plane.
142 Inequalities Solving and graphing inequalities
143 Scatter diagrams The range.
144 Probability The mode
145 Probability The mean
146 Probability The median
147 Probability Calculating the median from a frequency distribution
148 Averages Calculating mean, mode and median from grouped data
149 Averages Measures of spread: the interquartile range
150 Scatter diagrams Stem and Leaf Plots along with Box and Whisker Plots
151 Pie charts Bar Charts
152 Probability Cumulative frequency
153 Scatter diagrams Frequency histograms and polygons
154 Pie charts Line graphs.
155 Pie charts Pie and bar graphs.
156 Scatter diagrams Scatter Diagrams
157 Scatter diagrams Frequency distribution table
158 Scatter diagrams Relative frequency
159 Probability Probability of Simple Events
160 Probability Rolling a pair of dice
161 Probability Experimental probability
162 Probability Tree diagrams – not depending on previous outcomes
163 Probability Tree diagrams – depending on previous outcomes
164 End of Course Assessment End of Course Assessment