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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
Polygons: Area of a Compound Shape
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Polygons: Area of a Compound Shape

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GCSE Higher Lesson. Understand how compound shapes are made from simple polygons. Find the area of compound shapes by splitting them into simpler polygons. Starter, worked examples, worksheet, all answers included
Expressions,Formulae,Functions: Substitution
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Expressions,Formulae,Functions: Substitution

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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.
Expanding Two Brackets: Difference of Two Squares
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Expanding Two Brackets: Difference of Two Squares

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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.
Inverse Functions
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Inverse Functions

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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.
Rearranging Formulae
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Rearranging Formulae

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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.
Raw Numerical Data: Time Series Graphs
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Raw Numerical Data: Time Series Graphs

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GCSE Higher Lesson. Understand and use Time Series Graphs, describe trends. Exploring data which is recorded by time intervals. Examples, including seasonal data. and then question slides. Worksheet following lesson design. All answers included.
Raw Numerical Data:  Vertical Line Charts
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Raw Numerical Data: Vertical Line Charts

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GCSE Higher Lesson. Understand and use Vertical Line Charts Highlighting the similarities and differences between bar charts and vertical line charts. Examples and question slides on drawing and problem solving. Worksheet following lesson design. All answers included.
Raw Numerical Data: Quartiles and Box Plots
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Raw Numerical Data: Quartiles and Box Plots

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GCSE Higher Lesson. Extending the use of the Median to look at Quartiles. Examples of how to find the Quartiles with different sizes of data sets. Explanation and examples of how box plots are formed. Questions on all topics. Worksheet following lesson design. All answers included.
Density
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Density

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GCSE Higher Lesson. Calculate with mass, volume and density. Starter on comparing substances and/or proportional reasoning with bar model diagrams . Using a formula triangle. Worked examples. Question slides. Worksheet reviewing lesson. All answers included.
Estimating Calculations
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Estimating Calculations

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GCSE Higher Lesson. Estimate different calculations and values, including square roots. Starter. Worked examples. Question slides. Worksheet reviewing lesson. All answers included.
3D Pythagoras
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3D Pythagoras

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9-1 GCSE Lesson: Starter reviews Pythagoras in 2 dimensions. Worked examples of finding lengths in cubes, cuboids, triangular prism. Questions on 3 D Pythagoras. All answers included.
Equations of Perpendicular Lines
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Equations of Perpendicular Lines

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9-1 GCSE lesson. Explains perpendicular thorough diagrams and then through algebra. Includes questions examining the gradient of perpendicular lines and questions finding perpendicular lines through a specific point.
Prime Factors, Indices & HCF
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Prime Factors, Indices & HCF

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9-1 GCSE Lesson covering finding the prime factorisation of composite numbers, finding properties of numbers from the prime factorisation [is it odd,even, a multiple of ..?], finding the HCF of 2 numbers from the prime factorisations. Examples, questions and answers supplied.
Expressing Measurement Errors using Inequalities
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Expressing Measurement Errors using Inequalities

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GCSE lesson introducing the ideas of measurement error, upper and lower bounds and using inequalities to describe these bounds. Worked examples of each concept, questions and answers provided. Question slides easily printed as worksheets.
Ratio - Simplifying a Ratio
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Ratio - Simplifying a Ratio

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Lesson explains simplifying firstly using rows of diagrams then using HCF. Worked examples and slides of questions firstly with the HCF provided , then with pupils needing to find the HCF themselves.
Solving Inequalities- Single Variable
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Solving Inequalities- Single Variable

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Lesson examines solving single variable inequalities using the balancing method. Comparisons made with solving linear equations through side-by-side worked examples. Extends to introduce two inequality signs and to examine what the effect of x-1 is upon inequality signs. Worked examples and question slides include all answers.
Identities, Equations and Inequalites
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Identities, Equations and Inequalites

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Lesson looking at the definitions of algebraic words [term, expression, inequality, equation, identity]. Multiple choice quiz. Work on difference between equation and identity and then question slide. Extends to look at how identities can require expanding brakcets and simplifying to show that two sides are equal.
Solving Quadratics by Factorising
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Solving Quadratics by Factorising

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Lesson reviews how to factorise a quadratic into brackets and then looks at how to use this skill to solve equations. Full worked examples and Question slides. All answers provided.