Lessons included:
Properties of Quadrilaterals
Area of Parallelograms and Triangles
Area of a Trapezium
Area of a Compound Shape
Angles in Triangles and Quadrilaterals
Angles in Polygons
Exterior Angles of Polygons
Regular Polygons
Each lesson includes starters, worked examples, questions, worksheet. All answers included.
GCSE Higher Lesson.
Understand how to factorise expressions into a single bracket.
Starter: Common factors, expanding single brackets.
Find Four activity on common factors of algebraic expressions. Multiple choice questions on HCF of algebraic expressions.
Worked examples on factorising into a single bracket, differentiated questions and answers. Practical problems.
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.
GCSE Higher Lesson.
Understand how to multiply two or three brackets together using the grid 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 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.
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.
Use inverse operations to find inverse functions, using the correct notation.
Starter: Completing input-output machines.
Explanation of inverses using input-output machines. Worked examples, differentiated questions and answers.Worksheet following lesson design. All answers included.
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.
GCSE Higher Lesson.
Understand and using two Laws of Indices:
Numbers with negative indices
Numbers with fractional indices
Starter: 10Q MC on writing numbers using indices.
Worked examples on each of the rules, separate differentiated questions and answers on each rule.
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Multiply and divide large and small numbers using Standard Form:
Starter:10Q MC reading and writing numbers in SF.
Worked examples on each of the skills, separate differentiated questions and answers on each skill.
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Understand and using factorials:
Starter. Explanation of repeated and increasing multiplication, factorial notation. Worked examples on operations with factorials, differentiated questions and answers on each rule. Looking at practical uses of factorials with a pack of cards
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.
Finding and writing prime factorisations of numbers using indices
Starter: finding factors, understanding indices.
Review of prime and composite numbers. Worked examples on finding prime factorisations, separate differentiated questions and answers. Harder mixed problems including finding square and cube roots
Worksheet following lesson design. All answers included.
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.
GCSE Higher Lesson.
Reading and writing large and small numbers using Standard Form:
Starter: 10Q multiplying/dividing decimals by powers of 10.
Explanation of need for standard form and how it is derived.Review of Powers of 10 and their indices. Worked examples on converting numbers to/from standard form. 10Q MC on skills. Differentiated questions and answers on skills. Problems on ordering numbers.
Worksheet following lesson design. All answers included.