Year 9 Foundation Maths

Categories Foundation KS3

Description

This course is aimed at students in Year 9 of UK secondary school education. This “Foundation” Year 9 course is designed for lower ability students in consolidating prior content with a view to achieving grade 4/5 GCSE Maths.

Year 9 Foundation Maths

Description

What Will I Learn?

Topics for this course

Prime Factors and Index Laws

Multiples and lowest common multiples (LCM) 00:02:30

Factors and highest common factors 00:02:07

Product of prime factors using “prime factor trees” (Prime factorisation) 00:02:53

Laws of indices 00:04:33

Negative indices 00:03:03

Standard Form

Standard Form 00:06:03

Degrees of accuracy

Rounding to integers, tens, hundreds, thousands and decimal places. 00:02:59

Significant figures and estimating 00:04:13

Fractions

Equivalent fractions and simplifying fractions 00:03:05

Converting between fractions and decimals 00:03:10

Converting between fractions and percentages 00:02:44

Converting between decimals and percentages 00:01:07

Ordering fractions, percentages and decimals 00:04:33

Adding and subtracting fractions 00:06:25

Multiplying and dividing fractions 00:03:34

Fractions of quantities 00:02:18

Percentages

Increasing and decreasing by a percentage 00:02:12

Percentages of a quantity (decimal multipliers) 00:03:54

Compound interest 00:05:26

One number as a percentage of another, and finding a percentage increase or decrease 00:02:25

Reverse percentages 00:04:34

Algebraic Manipulation

Simplifying algebraic expressions 00:09:21

Substitute numbers into algebraic formula 00:04:46

Substitute numbers into algebraic expressions 00:05:04

Expanding and simplifying single brackets 00:10:41

Expanding double brackets 00:07:54

Factorising algebraic expressions 00:11:04

Factorising quadratics (part 1) 00:09:26

Solving one step equations 00:07:39

Solving two step equations 00:04:03

Solve equations that include a bracket 00:09:18

Solve equations with the unknown on both sides 00:08:13

Algebra in shapes 00:07:36

Changing the subject of a formula (Part 1) 00:04:27

Changing the subject of a formula (part 2 – with powers) 00:04:46

Ratio and Proportion

Unitary ratios 00:03:54

Ratio and sharing ratio 00:03:06

Combining ratios 00:02:00

Scale drawings (maps) 00:02:48

Pythagoras Theorem

Pythagoras Theorem 00:04:11

Inequalities

Solving inequalities with one or two variables 00:07:34

Inequalities on number lines 00:07:07

Sequences

Using number sequences and describing a rule of a sequence 00:05:33

Finding and using the nth term of a linear sequence 00:08:37

Trigonometry

Trigonometry (Sin, Cos and Tan): Finding missing sides 00:07:42

Trigonometry: Finding missing angles 00:03:34

Mensuration and Circles

Perimeter of shapes 00:03:27

Parts of a circle 00:02:07

Area of rectangles (by counting and using dimensions) 00:04:09

Area of parallelograms 00:03:06

Area of trapeziums 00:07:01

Area of triangles 00:04:16

Area of compound shapes 00:02:20

Converting metric units (length, mass and volume) 00:05:20

Circumference of a circle 00:02:27

Area of a circle 00:01:56

Probability

Probability and relative frequencies 00:11:24

Sample spaces 00:02:39

Combinations 00:02:40

Angles and symmetry

Angles in triangles and quadrilaterals 00:02:03

Missing angles in right angles and on straight lines 00:02:20

Lines of symmetry and order of rotational symmetry 00:03:05