Lesson examining the use of bar models, finding change in terms of %s and using % multipliers to calculate individual % changes.

9-1 GCSE lesson. Starter bingo reviewing trig ratios. Worked examples of using pythagoras and trigonometry with cuboids, pyramids and prisms. Questions. Answers provided for all questions.

9-1 GCSE lesson. Explains perpendicular thorough diagrams and then through algebra. Includes questions examining the gradient of perpendicular lines and questions finding perpendicular lines through a specific point.

Whole lesson compliant with 9-1 GCSE specifications. Starter reviews finding upper and lower bounds and looks at calculating bounds for two variables. Examples of questions where bounds or error intervals are applied. GCSE exam style questions alkso included. All answers included.

Lesson looks at using surds with within questions such as finding areas and perimeters of shapes. Finding missing sides in right-angled triangles. Finding surface areas and volumes. Worked examples. All 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.

Drawing and describing inequalities using number lines. Examples of single and multiple inequalities are explored. Questions include both naming and drawing inequalities. All answers included.

Lesson uses alternate angles and angles on a straight line to explain why angles in a triangle up to 180 degrees. Worked examples and questions on finding missing angles. Extends to include isosceles triangles, then exterior angles and opposite angles. All answers included.

Lesson exploring the use of letters with function machines to describe a relationship. Reviews two-step function machines to find outputs and then introduces the ideas of using letters as the inputs. Looks at what the expression looks like if the output is a letter or if both are letters. Worked examples, questions and all answers included.

“If a:b = 3:4 and b:c = 5:6, find the ratio a : b : c”. Lesson examining both algebraic and worded examples of combining ratios. Full explanation of use of LCM and equivalent ratios. Fully worked examples. Questions of both types. All answers included.

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.

Examines 4 types of graphs: Linear, Quadratic, Cubic and Reciprocal. Defines properties of each and similarities (intercept). Multiple Choice questions looking at matching names and then equations to graphs.

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.

Starter using Pythagoras to find diagonals of quadrilaterals. Use of Pythagoras to explain equation of a circle based on the origin. Extends to look at circles not centred on the origin. Plenary looks at an example of simultaneous equations with a circle. Worked examples and question slides. All answers included.

Lesson looks at the differences between arithmetic and geometric sequences through the them to term rule. Explains using a term to term rule to find the next terms. The General Rule is then explored. How to find terms from the General Rule is explained. All ideas also have question slides and all answers are included.

Using differences and second differences to find the general rule for quadratic sequences. Lots of examples with n^2 , 2n^2, 3n^2 etc. Worked examples and questions on all skills. All answers included.

Starter looks at using the formulae for volume and surface areas for 3D shapes. Explanation of frustum as shape created when top removed from cone or pyramid. Examples of finding volume of a frustum with lengths of whole cone/pyramid included. Extends by looking at using similarity to find volume when given only frustum. Worked examples and questions for all skills. All answers included.

Starter looks at multiplicative relationships to use for calculating Scale factors. Similarity of shapes explained. Worked examples of finding missing lengths in triangles and quadrilaterals given. Questions reinforcing learning. All answers included.

Starter look at two-way tables. Links made to similarities and differences between two-way tables and frequency trees. Worked examples including finding probabilities. Worksheet includes questions finding frequencies from proportions of the whole and extends to larger trees. All answers included. Worksheet answers provided on ppt.

Using inverse operations to find inverse functions. Defines an inverse function, an introduces correct notation. Worked examples and questions on single functions. Lesson also looks at inverses of composite functions. Question slides. All answers included.