Download AQA Higher Module 2

AQA Mathematics - Higher Tier
Module 2 – Number and Algebra
General Topic
No. of
Hours
Objectives
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Integers
Rounding
Use of symbols
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Decimals
Fractions
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Surds
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Grade
By the end of the module students should be able to …
Find the least common multiple (LCM) of two simple numbers
Find the highest common factor (HCF) of two simple numbers
Find the least common multiple (LCM) of two or more numbers
Find the highest common factor (HCF) of two or more numbers
Recognise prime numbers
Write a number as a product of prime factors
Find the reciprocal of a number
Estimate answers to calculations involving division
Estimate answers to calculations involving division by numbers less than one
Round to a given number of significant figures
Find minimum and maximum values
Multiply out expressions with brackets
Expand (and simplify) harder expressions
Expand (and simplify) quadratic expressions
Factorise expressions
Factorise quadratic expressions
Simplify rational expressions
Factorise harder quadratic expressions
Simplify harder rational expressions
Multiply two decimals such as 2.4 × 0.7
Divide a number by a decimal such as 1 ÷ 0.2 and 2.8 divided by 0.07
Convert decimals to fractions and fractions to decimals
Convert recurring decimals to fractions and fractions to recurring decimals
Identify recurring and terminating decimals
Do calculations with simple fractions involving subtraction
Do calculations with mixed numbers
Do calculations with simple fractions involving division
Simplify surds, such as (3 – 5 )2 in the form a + b
Rationalise the denominator of a surd such as
5
2
5
Two-Tier GCSE Mathematics - Medium Term Plan
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B
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D
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B
C
D
C
B
D
B
A
A*
D
C
D
B
D
C
A*
A
Resources used /
Comments
AQA Mathematics - Higher Tier
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Module 2 – Number and Algebra
Indices and
Standard form
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Percentages
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Ratio and
proportion
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Quadratic Graphs
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Use the terms square, positive and negative square root, cube and cube root
Recall integer squares from 2 × 2 to 15 × 15 and the corresponding square
roots
Recall the cubes of 2, 3, 4, 5 and 10
Use index notation and index laws for positive and negative powers
Use index notation and index laws for fractional powers such as 16
D
C
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4
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4
A*
Use index notation and index laws for fractional powers such as 16
Use standard index form with and without a calculator
Convert between ordinary and standard index form representations
Increase or decrease a quantity by a given percentage
Understand how to use successive percentages
Work out compound interest
Express one quantity as a percentage of another
Work out a percentage increase or decrease
Work out reverse percentage problems
Solve simple ratio and proportion problems, such as finding the ratio of
teachers to students in a school
Solve more complex ratio and proportion problems, such as sharing out
money between two groups in the ratio of their numbers
Solve ratio and proportion problems using the unitary method
Calculate proportional changes using a multiplier
Solve direct and inverse proportion problems
Interpret the graphs of direct and inverse proportion relationships
Draw graphs of simple quadratic functions such as y  3x 2 and y  x 2  4
Draw graphs of harder quadratic functions such as y  x  2x  1
Find the points of intersection of quadratic graphs with lines
Use graphs to find the approximate solutions of quadratic equations
Use the points of intersection of a quadratic graph such as y  x 2  2 x  4
C
B
D
B
D
C
B
D
C
B
A
D
2
with lines such as y  2 x  1 to solve equations like x 2  2 x  4  2 x  1 and
simplify this to x  4 x  5  0
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Two-Tier GCSE Mathematics - Medium Term Plan
C
A