Year 9 Higher Maths

Categories Higher KS3

Description

This course is aimed at students in Year 9 of UK secondary school education. This “Higher” Year 9 course is designed for higher ability students in both consolidating prior content and extending learning with a view to achieving grade 6 – 9 in GCSE Maths.

Year 9 Higher Maths

Description

What Will I Learn?

Topics for this course

Prime Factors and Index Laws

Product of prime factors using “prime factor trees” 00:02:53

HCF and LCM using Venn diagrams 00:05:06

Laws of indices 00:04:33

Negative indices 00:03:03

Standard Form

Standard Form 00:06:03

Surds

Surds 00:06:02

Surds and brackets 00:04:32

Degrees of accuracy

Rounding numbers to significant figures and Estimating 00:04:13

Upper and Lower bounds 00:05:40

Fractions

Ordering fractions, percentages and decimals 00:04:33

Adding and subtracting fractions 00:06:25

Multiplying and dividing fractions 00:03:34

Recurring Decimals Notation 00:02:28

Converting recurring decimals to fractions 00:03:48

Percentages

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

Increasing and decreasing by a percentage 00:02:12

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

Expanding double brackets 00:07:54

Factorising quadratics (part 1) 00:09:26

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

Solve equations that include a bracket 00:09:18

Solve equations that include powers or roots 00:03:15

Solve equations with the unknown on both sides 00:08:03

Solving linear fractional equations 00:08:13

Substitute numbers into algebraic formula 00:04:46

Substitute numbers into algebraic expressions 00:05:04

Triple Brackets 00:05:07

Factorising algebraic expressions 00:11:04

Factorising quadratics with coefficients of x² greater than 1 00:06:30

Factorising – the difference of two squares 00:03:31

Ratio and Proportion

Ratio and sharing ratios 00:03:06

Combining ratios 00:02:00

Direct and inverse proportionality 00:04:20

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

Solving Quadratics

Solving quadratic equations by factorising 00:03:58

Solve quadratic equations using the “formula” 00:05:58

Sequences

Using number sequences and describing a rule of a sequence 00:05:34

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

Bearings 00:06:45

Mensuration and Circles

Converting units of area and volume 00:04:33

Area of a circle 00:01:56

Circumference of a circle 00:02:27

Lengths of arcs and area of sectors 00:03:52

Area of trapeziums 00:07:01

Area of compound shapes 00:02:20

Simultaneous Equations

Solving simultaneous equations by elimination 00:08:16

Solving simultaneous equations by substitution 00:04:55

Simultaneous equations with straight line graphs 00:04:55

Probability

Probability and relative frequencies 00:11:24

Probability – mutually exclusive events 00:04:08

Probability AND / OR rule 00:05:27

Angles

Vertically opposite angles 00:01:40