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.

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.

Lesson looks at angle properties of isosceles triangles and asks missing angle questions. Moves to look at rhombus, parallelogram, isosceles trapezium and kite and asks missing angle questions. Then finding missing angles in a more complicated diagram. All answers included.

Lesson aimed at reviewing these skills. Starter - Multiple Choice [converting between mixed and improper, equivalent fractions]. Fractions with the same denominators. 2. Fractions with different denominators 3. Mixed Numbers. Worked examples. Differentiated worksheet slide. All answers included.

Starter looks at factorising numbers using square numbers as one of the factors. Rational and Irrational numbers are explained and defined. Surds are then defined and explained in the context of square roots. Simplifying a surd is demonstrated and full simplification is explained using root 48. Question slides on each skill included. All answers provided.

Lesson explores solving non-linear equations graphically. Examples look at adding horizontal lines [y=4 etc] and then sloping lines [y=x+2] to solve different problems.

Starter reviewing areas of 2D shapes. Examples of volume calculations looking at areas of cross-sections leading to volume. Surface area found by through finding areas of each face. Worked examples and questions on all ideas. All answers included.

Using similarity to find areas of 2D shapes and volumes of 3D solids. Starter explores multiplicative relationships. Worked examples and table looking at 2D shapes to find relationship between side scale factor and area scale factor. Similar format extending to volume. Questions on all skills included. All answers included.

Explores the properties of Quadratic Curves using a graphical approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Starter looks at identifying quadratics, Multiple Choice questions on the properties. Moves on to questions asking pupils to plot a curve and then find the properties. Worked examples and all answers included.