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Molehill Maths

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Lessons and Diferentiated Resources to reduce the planning mountain

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Lessons and Diferentiated Resources to reduce the planning mountain
Surds - Problem Solving
jchowelljchowell

Surds - Problem Solving

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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.
Surds - Rationalising
jchowelljchowell

Surds - Rationalising

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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.
Surds - Expanding Brackets
jchowelljchowell

Surds - Expanding Brackets

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Lesson exploring expanding single brackets involving surds. Then looks at expanding two brackets, including a single bracket squared. All explanations include worked examples and all question slides include answers.
Introducing and Simplifying Surds
jchowelljchowell

Introducing and Simplifying Surds

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Starter looks at factorising numbers using square numbers as one of the factors. Rational and Irrational numbers are explained and defined. Surds are then defined and explained in the context of square roots. Simplifying a surd is demonstrated and full simplification is explained using root 48. Question slides on each skill included. All answers provided.
Fraction Calculations - Four Operations
jchowelljchowell

Fraction Calculations - Four Operations

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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.
Fraction Calculations_Multiply & Divide
jchowelljchowell

Fraction Calculations_Multiply & Divide

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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.
Input Output Machine: Loop Cards
jchowelljchowell

Input Output Machine: Loop Cards

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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.
Fraction Calculations: Add & Subtract
jchowelljchowell

Fraction Calculations: Add & Subtract

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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.
Recurring and Terminating Decimals
jchowelljchowell

Recurring and Terminating Decimals

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9-1 GCSE lesson. Starter: Converting from terminating decimals into fractions. Definitions of terminating, recurring and non-repeating decimals. How to know if a fraction is a terminating or non-terminating decimal [non-calculator] using prime factors. How to convert from a recurring decimal to a fraction using algebra. All ideas have worked examples. Differentiated slide of questions. All answers included.
Angle Reasoning: Special Polygons
jchowelljchowell

Angle Reasoning: Special Polygons

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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.
Input Output Machine Bingo
jchowelljchowell

Input Output Machine Bingo

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Lesson with 3 distinct bingo games on 1] Finding outputs 2] Finding inputs 3] Mixed. Pupils choose 9 numbers from a grid of 16, all 16 numbers have a question and answer slide. All questions and answers on separate slides. All answers included.
Factorising into a single bracket
jchowelljchowell

Factorising into a single bracket

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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.
Find CF and HCF of Algebraic Expressions
jchowelljchowell

Find CF and HCF of Algebraic Expressions

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Lesson looking at finding Common Factors and Highest Common Factors of Algebraic Expressions. Starts with review of factors and common factors for number. Uses listing factors for algebraic expressions to introduce ideas before looking at a more factorising approach. Plenary looks at working backwards from factors to expressions using Venn diagrams. All worked examples and question slides have answers included.
Ratio: Simplifying ratios_ decimals/ fractions
jchowelljchowell

Ratio: Simplifying ratios_ decimals/ fractions

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Lesson looking at how we simplify rations which have either decimals or fractions as their component shares. Starter reviews simplifying and sharing with integer shares. Ratios with decimals looks at multiplying by powers of 10 and then simplifying where appropriate. Ratios with fractions looks at examples with common denominators and with different denominators. Differentiated slides on each topic. All worked examples and question slides include answers.
Single Brackets: Expanding
jchowelljchowell

Single Brackets: Expanding

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Lesson reviews expressions through multiple choice questions. Explains the grid method for multiplication, first with numbers and then using algebra. Uses the idea of the grid method to expand single brackets using FL method [First Last]. Expanding Brackets Bingo. All ideas have worked examples, questions and all answers included.
Expressions: Formulae and Equations
jchowelljchowell

Expressions: Formulae and Equations

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Lesson explores how to move from writing expressions in words to using letters and how this move helps to write formulae and equations. How to write simple expressions using letters. How to simplify expressions using letters. How to write two step problems and the importance of units being consistent [£ and p]. Full worked examples, questions and all answers included.
Function Machines: Introducing Algebra
jchowelljchowell

Function Machines: Introducing Algebra

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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.
Function Machines: Finding rules
jchowelljchowell

Function Machines: Finding rules

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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.
Function Machines - Finding outputs
jchowelljchowell

Function Machines - Finding outputs

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Lesson explains how an input-output machine creates outputs from inputs. Different representations are presented and explained. One-step, two-step and three-step machines are explored. Worked examples and questions on all ideas. All answers included.