KS3 - Year 9 Maths - Wales

KS3 – Year 9 Mathematics

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

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KS3 – Year 9 Mathematics – Wales

KS3 – Year 9 Mathematics

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