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.

Starter - Multiple Choice [converting between Mixed and Improper, Equivalent Fractions]. 1. Multiplying Fractions. 2. Multiplying Fractions with cancelling 3. Dividing Fractions. 4] Multiplying and dividing with Mixed Numbers. Worked examples and questions for each skill. All answers included.

Starter: Multiple Choice reviewing improper fractions and mixed numbers and equivalence. All 4 operations explained through worked examples and question slides. Also looks at using Mixed Numbers with all 4 operations. 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 explains why angles on a straight line add up to 180 degrees. Worked examples and questions on finding missing angles. Explanation of why opposite angles are equal. Worked examples and questions on finding missing angles giving reasons. Extends with questions using algebra rather than numerical information.

Starter reviews CF and HCF with integers. Explanation and worked examples of HCF with algebraic expressions. Multiple Choice on HCF of algebraic expressions. Explanation and worked examples on factorising. Multiple Choice on factorising. Differentiated worksheet slide. All answers included.

Lesson prompting pupils to create their own set of loop cards. Introduction of 1] input output machine 2] one-step and two-step machines 3] Loops Examples of Loops with one-step and two-step machines.

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.

Written for the AQA GCSE topic. Starter looks at solving linear inequalities. Linear Programming definitions explained. Links to drawing inequalities made explicit. Worked examples of writing constraints. Questions. All answers included.

Written for the AQA GCSE topic. Starter looks at identifying inequalities on graphs. Worked examples of maximising objective functions. Worksheet with graph questions to solidify learning. All answers included.

2 lessons to cover the AQA GCSE topic on Linear Programming. The first lesson looks at definitions and writing constraints reviewing writing inequalities. The second lesson looks at maximising objectives and solutions. Worked examples for each skill. Worksheet for solutions lesson. All answers included.

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.

Lesson reviewing lengths and areas involving circles. Starter involves naming parts of a circle. Examples and Questions cover circumferences using diameter or radius, area, lengths of arcs, areas of sectors. All topics have worked examples and questions. All answers included.

Starter looks at separate skills of simplifying numerical fractions and factorising algebraic expressions. Looks first at algebraic fractions which don’t need factorising, worked examples, questions. Then extends to look at fractions requiring factorising (including difference of two squares). Questions on all skills. All answers provided.

Lesson splits skill into 3 parts A: Fractions with numerical denominators B: Fractions with single expression denominators C: Fractions with multiple expression denominators Worked examples and questions on each skill. Problem Solving question using vector lengths. All answers included.

Explores the properties of Quadratic Curves using an algebraic approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Questions on factorising to find roots, finding the line of symmetry and the turning point through substitution. Worked examples and questions on all skills. 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.

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 the Term-to-Term Rule to generate quadratic sequences. Exploring differences and second differences to investigate the similarities between sequences. Worked examples of all skills. All answers included.