Higher (6 – 9)

Categories GCSE Maths Higher

Description

This course is aimed purely for students studying for the higher GCSE paper.

The course is split into 4 sections:

Number (Grades 6-9)
Algebra (Grades 6-9)
Geometry (Grades 6-9)
Statistics (Grades 6-9)

74 lessons, quizzes, and lots more to come…..

Access to the course lasts for 3 years

What Will I Learn?

Students will be able to access learning on all GCSE content for the duration of the time. Students can track their progress through the online assessments, complete practice quizzes, and revisit videos and lessons throughout their membership.

Topics for this course

74 Lessons

Number: 6 to 9?

This content covers grades 6 to 9 of the GCSE syllabus which is suitable for KS4 and is likely to be coverered in years 9-11 of UK schooling. This content is essential for achieving the top grades and for those considering A level Maths.

Laws of indices – fractions and negatives 00:04:02

Fraction and negative powers Assessment

Converting numbers to use laws of indices 00:03:07

Converting numbers to use index laws Assessment

Upper and Lower bounds 00:05:40

Calculating with upper and lower bounds Assessment

Accuracy with bounds 00:03:13

Higher (6 – 9)

Description

What Will I Learn?

Topics for this course

Number: 6 to 9?

Laws of indices – fractions and negatives 00:04:02

Converting numbers to use laws of indices 00:03:07

Upper and Lower bounds 00:05:40

Accuracy with bounds 00:03:13

Maximum percentage errors 00:02:37

Error intervals and truncating 00:05:50

Surds 00:06:02

Surds and brackets 00:05:50

Rationalising surds 00:05:46

Direct and inverse proportionality 00:04:20

Converting recurring decimals to fractions 00:03:48

Algbera: 6 to 9?

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

Solving quadratic inequalities (by factorising) 00:06:46

Perpendicular gradients 00:04:20

Parallel and perpendicular equations of lines 00:07:13

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

Changing the subject of a formula by factorising 00:05:31

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

Equation of a straight line (with a gradient and a co-ordinate) 00:08:00

Geometric sequences (Common ratio) 00:07:32

Completing the square of a quadratic expression 00:06:04

Completing the square of quadratic expression with x² greater than 1 00:07:41

Solving quadratic equations by completing the square 00:03:02

Solving quadratic equations by completing the square where x² is greater than 1 00:05:11

Drawing quadratic graphs and finding solutions using graphs 00:11:06

Quadratic simultaneous equations 00:07:15

Adding and subtracting algebraic fractions 00:05:49

Multiplying and dividing algebraic fractions 00:07:18

Simplifying algebraic fractions 00:06:57

Using a quadratic Nth term 00:03:28

Finding a quadratic Nth term 00:05:38

Circle equations in the form x² + y² = r² 00:02:20

Equations of tangents to a circle 00:06:59

Fixed point Iteration 00:06:30

Turning Points 00:03:08

Triple brackets 00:05:07

Solving fractional equations (quadratics) 00:07:34

Exponential growth and decay 00:07:22

Exponential equations with graphs 00:04:01

Proofs 00:06:40

Function (notation) 00:02:44

Composite Functions 00:05:04

Inverse Functions 00:05:10

Geometry: 6 to 9?

Pythagoras theorem and Trigonometry in 3D 00:03:54

Surface area and volume of spheres and hemispheres 00:03:19

Area of a triangle using the formula: A = ½abSinC 00:03:52

Circle theorems Part 1 – Angles at the centre, cyclic quadrilaterals and angles in a semi-circle. 00:06:28

Circle theorems Part 2 – Subtended by the same arc, tangents and alternate segment theorem. 00:07:32

Cosine Rule – Missing Sides and Angles 00:04:43

Sine Rule – Missing Sides and Angles 00:04:32

Angles of Elevation and Depression 00:07:07

Exact trigonometric ratios (30°, 45° and 60°) 00:05:56

Surface area of compound 3D shapes 00:03:15

Volume of compound 3D shapes 00:03:27

Converting units of area and volume 00:04:33

Similar shapes (area and volume) 00:10:02

Congruent shapes and Congruent triangles 00:04:28

Bearings 00:06:45

Graph transformations – translations, stretches and reflections 00:08:22

Trigonometric graphs 00:08:18

Graph types 00:10:31

Inequalities on graphs 00:10:34

Volume of cones 00:01:45

Surface area of cones 00:03:56

Volume of pyramids 00:02:32

Surface area of pyramids 00:02:41

Volume of frustums 00:08:05

Enlargements using a negative scale factor 00:02:18

Area of a segment using Sine 00:02:58

Solving vector problems 00:06:30

Statistics: 6 to 9?

Probability Trees (independent and dependent events) 00:10:24