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.
Examining the language and use of recurrence relationships. Looks at linear then geometric sequences. Worked examples, questions and match-up activities follow. Then extends to include relations with more then one operation or more than one term leading to Fibonnaci-style sequences and Square Numbers. 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.
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 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.
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.
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.
Lesson looking at creating sample space diagrams and then finding probabilities from them. Starter is on single event probabilities. Examples look at sums and products with dice and spinners. Worksheet included. All answers included. Answers for worksheet included on ppt.
Explanation and worked examples for using the Cosine Rule. Finding a missing side and finding a missing angle treated separately. Worked examples and question slides on each skill. All answers are worked through.
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.
Starter looks at single functions. Explanation of the notation of composite functions [ie fg(x) and gf(x)]. Worked examples explaining that order is important. Questions on outputs from combining 2 functions. Combining 3 functions explained. Solving composite functions to find a single value included.All skills have worked examples and questions. All answers included.
Lesson describes functions from input-output machines. Definitions explained [range, domain etc]. Finding function rules, finding outputs and solving functions all examined through worked examples. Questions on each skill and general question slide on all skills. All answers included.
Starter looks at expanding double brackets. Explanation of why we might want to use method. How to complete the square when a = 1 explained with worked examples.Questions and worked answers. How to complete the square when a≠1 explained with worked examples. Questions on all skills. All answers included.