GCSE Higher Lesson. Understand and using three Laws of Indices: Multiplying with indices Dividing with indices Brackets with indices Starter: writing numbers using indices. Review of base number, power/index. Worked examples on each of the rules, separate differentiated questions and answers on each rule. Harder mixed problems. Worksheet following lesson design. All answers included.

GCSE Higher Lesson. Estimate different calculations and values, including square roots. Starter. Worked examples. Question slides. Worksheet reviewing lesson. All answers included.

9-1 GCSE Lesson covering what standard form is, why we use it. How to convert from ordinary numbers to standard form and vice-versa. Examples and a differentiated LIMBO worksheet all with answers provided. Plenary is an exam style question involving converting between units of mass and ordering.

Review lesson on Pythagoras Theorem followed by contextual questions eg distance between two points, lengths of diagonals in quadrilaterals, distances from journeys described using bearings. 2 Starters on calculating square roots and estimating square roots. Answers provided for all questions.

9-1 Lesson applying trigonometry to right triangles. Starter reviews trig functions. Questions using trig in rectangles, isosceles triangles, angles of elevation & depression, problem solving. Worked examples, questions - full answers provided.

9-1 GCSE Lesson explaining the derivation of the exact values for sin,cos & tan of 30,45,60 degrees. Includes a worksheet [slide 13] for pupils to complete and questions & answers examining how these values are used in questions.

GCSE lesson includes starter on 1 million of different units, how to round with SF. 10Q multiple choice to check understanding. How to estimate with SF including worked examples. 12 Questions on estimating. ALL answers provided.

A lesson covering what exactly a proportion is and the ways in which we can write them using words, fractions , decimals or percentages. Starts with proportions of colours in shapes, moves to worded questions. All solutions included.

Lesson using idea of a function machine to explain the definitions and explore examples of direct proportion. Covers use of division and how to express using multiplication. Worked examples. Questions on identifying direct proportion and on finding missing values. All answers provided.

Lesson using a ratio to find a quantity given the other share. Examples use bar models and equivalent ratios. Fully-worked examples. Questions to demonstrate understanding. Also explores finding the total shared altogether from a ratio and one share. Fully worked examples and questions to demonstrate understanding. All answers included.

Solving Problems with multiples of pi. Starter matches formulae for formula involving pi. Explanation that using pi is more accurate than decimals/significant figures. Examples of problem solving involving areas of sectors, volumes and surface areas of cylinders and cones. Worked examples for all ideas. Questions and answers included.

Lesson explores rationalising involving single expression denominators, denominators with the surd multiplied by a coefficient and the use of a conjugate where the denominator expression requires the difference of two squares method to remove the square root. All skills are demonstrated by worked examples and differentiated question slides are included. Exam style questions included. All answers included.

Lesson covering the four operations with surds. Worked examples of each skill. Differentiated workheet slides. All answers included.

Explores using substitution to solve simultaneous equations when at least one coefficient is 1 when none of the coefficients is 1. Starter looks at rearranging Worked examples and questions on all ideas. All answers included.

"If the ratio of boys to girls in a class is 3:5 and there are 8 more girls, how many pupils are in the class?" Lesson explaining the concept in different ways [bar-model approach and words]. Fully worked examples. Questions on each style of response. All answers included.

Lesson looking at conventions of naming straight lines and angles. Starter examines pupils understanding of types of angles. Fully worked examples and questions to consolidate and demonstrate understanding.

Lesson explores how to move from writing expressions in words to using letters and how this move helps to write formulae and equations. How to write simple expressions using letters. How to simplify expressions using letters. How to write two step problems and the importance of units being consistent [£ and p]. Full worked examples, questions and all answers included.

Lesson explains how an input-output machine creates outputs from inputs. Different representations are presented and explained. One-step, two-step and three-step machines are explored. Worked examples and questions on all ideas. All answers included.

Lesson exploring how to find the inputs for a function machine given the outputs. Explores the different representations of input-output machines. Explains the idea of inverse operations and how to use these to reverse a function machine. Worked examples and questions on one-step, two-step and three-step machines. All answers included.

Lesson explores definitions and representations of input-output machines. Explores why multiple inputs and outputs are needed to find the rule being used by a machine. Exploration of how to find which rule is being used by exploring the effects of multiplying or dividing consecutive inputs. Worked examples and questions. All answers included.