GCSE Higher Lesson.
Understand a proportional relationship and how it appears.
Write functions from worded information to solve problems.
Starter, worked examples, worksheet(different questions, same formats), all answers included
GCSE Higher Lesson.
Understand a proportional relationship and how it appears.
Solve problems involving parts of ratios being given or found.
Starter, worked examples, worksheet(different questions, same formats), all answers included
GCSE Higher Lesson.
Understand a proportional relationship and how it appears.
Solve problems involving measures involving compound units (speed, pressure, density).
Starter, worked examples, questions, worksheet(different questions, same formats), all answers included.
GCSE Higher Lesson.
Understand how to use a formula to find the area of a trapezium.
Starter, derivation of formula, worked examples, worksheet (different questions, same formats), all answers included
Lesson reviews squaring a bracket to lead into completing the square. Full explanation of completing the square method with worked examples. Then uses same examples to show how to solve equations. Looks at coeffiecients above 1 on the squared term. Differentiated slides to test understanding. All examples and questions have answers included.
GCSE Higher Lesson.
Understand how the area of both parallelograms and triangles relate to areas of rectangles. Understand formulae for area,. Recognise how formula for area of obtuse triangles can be found from parallelograms.
Starter, worked examples,questions, worksheet, all answers included
GCSE Higher Lesson.
Understand how to factorise expressions using two brackets, where a = 1.
Starter: Find two numbers, product and sum.
Explanation of how to find a,b,c from a quadratic expression.Worked examples on factorising, differentiated questions and answers. Practical problems.
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Understand how to multiply two or three brackets together using the FOIL method.
Starter: Algebraic expressions multiplication grid.
Worked examples on grid multiplication with numbers extending to algebra.
Multiplying two brackets, differentiated questions and answers. Squaring brackets.
Multiplying three brackets.Cubing brackets. Practical problems.
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Understand substitution of a variable into an expression or formula.
Differentiated lesson exploring substituting variables which are integers, negatives and fractions.
Starter, worked examples, questions, worksheet. All answers included.
GCSE Higher Lesson.
Understand how to factorise expressions using the difference of two squares.
Applications using both numerical and algebraic expressions . Worked examples with both numbers and letters, differentiated questions and answers.
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Understand how to factorise expressions using two brackets, where a> 1.
Starter: Find two numbers, product and sum.
Explanation of how to find a,b,c from a quadratic expression. Worked examples on factorising, differentiated questions and answers. Practical problems.
Worksheet following lesson design. All answers included.
9-1 GCSE lesson.
Starter reviews averages from a set of data.
Explanation of what Cumulative Frequency is, how to find it and how to plot it.
How to find the Median, Lower Quartile and Upper Quartile from a CF graph.
How to find the inter-Quartile Range from this information.
Worksheet version of questions slide.
Al answers included.
GCSE Higher Lesson.
Understand an expression as a function, and link them to formulae.
Starter: Input-Output Loop cards
Definitions of a function, domain, range and notation. Explanations of the different skills that we are asked to use with functions. Including
Defining a function from a domain and range.
Evaluating a function from an input.
Solving a function for a specific output.
Worked examples, differentiated questions. All answers included.
Worksheet following style of lesson. Answers include.
GCSE Higher Lesson.
Rearrange a formula where the subject appears once.
Starter: Substitution and solving to solve algebraic problems
Explanation of subjects, objects and variables in formulae. Worked examples , differentiated questions and answers.
Worksheet following lesson design. All answers included.
Lessons included:
Basic Index Laws
Negative and Fractional Indices
Prime Factors and Indices
Reading and Writing with Standard Form
Multiplying and Dividing with Standard Form
Adding and Subtracting with Standard Form
Factorials
All lesson include worksheets
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.