Download d) Use the laws of indices e.g simplify 4a2 x 6a3 e) Rearrange

Yr 10 Autumn Term Topics – Higher (Set 2 Falcon)
1) Integers, Powers & Roots (New AQA Higher Ch 4 & 14)
a) Revision of prime, cube, square numbers as well as factors & multiples.
b) Use prime factor decomposition of a number & use Venn diagrams to find the HCF &
LCM.
c) Use index laws e.g 53 x 54 = 59 and 66 ÷ 62=64 (laws of indices is also met in Algebra 1)
& calculate with fractional indices e.g 361/2 = √36
d) Recognise powers of 2, 3, 4 & 5
e) Write numbers in standard form. (AQA Ch 15)
2) Angles & Measure (New AQA Higher Ch 9 & Ch 37)
a) Know & apply Pythagoras Theorem for finding missing sides in right angled triangles.
(extension is Trigonometry)
b) Use alternate, corresponding, supplementary & opposite angles in parallel lines.
c) Find interior & exterior angles of polygons. E.g 5400 in a pentagon…….
d) Find missing sides in similar shapes using scale factors. (a yr 9 objective worth
revising)
3) Ratio & Proportion (New AQA Higher Ch 22, 27, 28 & 30-not all of it)
a) Revise how to share in a given ratio.
b) Revision of solving problems in direct proportion.
c) Solve best buy problems
d) Solve problems with distance, speed, time (density & pressure will be met in year 11
but is an extension). If time extend to distance, time graphs.
HALF TERM
4) Algebra 1 (New AQA Ch 7 & 22)
a) Substitute positive & negative integers into Mathematical & Scientific formula. (extend to
decimals)
b) Multiply double brackets & factorise expressions. E.g factorise 12m – 8n or 18ab + 9a
c) Simplify algebraic expressions e.g 6m3 + 2p – 3m3 or ab x bc
d) Use the laws of indices e.g simplify 4a2 x 6a3
e) Rearrange formulae e.g y = mx + c make m the subject.
4) Fractions, Decimals & Percentages (New AQA Ch 5, 6, 13 & 40)
a) Revision of the 4 rules of fractions.
c) Revision of converting between fractions, decimals & percentages with & without a
calculator.
d) Solve reverse % problems e.g a shirt has 10% off & now costs £56. What was the original
price?
e) Calculate % change e.g. 1 shirt costs £40 and has been reduced to £30. What is the %
reduction in price?
f) Calculate with compound interest & depreciation (Chapter 40)
TRIAL EXAMS