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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
Coordinate Geometry: Midpoint and Length
jchowelljchowell

Coordinate Geometry: Midpoint and Length

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9-1 GCSE lesson exploring finding the midpoint and length of a line segment. Starter: Plotting points and identifying quadrilaterals from the plots. Worked examples finding midpoints 1] graphically and 2] numerically. Questions. Worked examples finding lengths of line segments using Pythagoras, questions. All answers included.
Understanding Proportion: Inverse Proportion
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Understanding Proportion: Inverse Proportion

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GCSE Higher Lesson. Understand a proportional relationship and how it appears. Use inverse proportion to solve problems. Starter, worked examples, worksheet(different questions, same formats), all answers included
Understanding Proportion: Combining Ratios
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Understanding Proportion: Combining Ratios

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GCSE Higher Lesson. Understand a proportional relationship and how it appears. Solve problems involving combining ratios and subsequently finding shares. Starter, worked examples, worksheet(different questions, same formats), all answers included
Standard Form: Multiplying and Dividing
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Standard Form: Multiplying and Dividing

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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.
Converting Units
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Converting Units

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GCSE Higher Lesson. Converting between metric and imperial units.Starter on choosing reasonable units. Worked examples and question slides on converting between gallons and litres, miles and kilometres, kilograms and pounds and inches and centimetres. Plenary examining area. Worksheet reviewing lesson. All answers included.
Scales and Maps
jchowelljchowell

Scales and Maps

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GCSE Higher Lesson. Understand a map scale and use a map scale to find distances. Starter on unitary ratios. Converting between metric lengths. Worked examples including unit conversion. Question slides. Worksheet reviewing lesson. All answers included.
Calculations with Upper and Lower Bounds and Error intervals
jchowelljchowell

Calculations with Upper and Lower Bounds and Error intervals

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Whole lesson compliant with 9-1 GCSE specifications. Starter reviews finding upper and lower bounds and looks at calculating bounds for two variables. Examples of questions where bounds or error intervals are applied. GCSE exam style questions alkso included. All answers included.
Ratio - Writing a Ratio
jchowelljchowell

Ratio - Writing a Ratio

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Lesson covering the definition of a ratio and then examples and questions on writing 2 part and 3 part ratios in different contexts. Worksheet slide included to test understanding. All answers included.
Ratio - Sharing in a Ratio - Words
jchowelljchowell

Ratio - Sharing in a Ratio - Words

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Lesson looking at solving ratio questions using a structured worded approach [total shares, 1 share etc]. Full examples with 2 part and 3 part ratios. Questions covering 2 part ratios and 3 part ratios. Differentiated worksheet slide. All answers included.
Inequalities - Number Lines
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Inequalities - Number Lines

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Drawing and describing inequalities using number lines. Examples of single and multiple inequalities are explored. Questions include both naming and drawing inequalities. All answers included.
Function Machines: Introducing Algebra
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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.
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.
Cones & Spheres: Volume and Surface Area
jchowelljchowell

Cones & Spheres: Volume and Surface Area

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Explanation of a cone as a type of pyramid and derives formulae from those of pyramids. Worked examples and questions. Formulae for spheres, worked examples and questions. Lesson also extends to look at hemispheres and compound shapes and use of π in answers. All answers included.
Similar Triangles - Missing Sides
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Similar Triangles - Missing Sides

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Starter looks at multiplicative relationships to use for calculating Scale factors. Similarity of shapes explained. Worked examples of finding missing lengths in triangles and quadrilaterals given. Questions reinforcing learning. All answers included.
Algebraic fractions: Multiply/Divide
jchowelljchowell

Algebraic fractions: Multiply/Divide

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Method relates to numerical fractions and reemphasizes canceling common factors. Worked examples for both numerical and algebraic fractions. Looks at single expressions and complex expressions requiring factorisation. Question slides for all skills. All answers included.
Types of Data
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Types of Data

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A complete lesson on ‘Types of Data’ written for the new GCSE. Starter asks pupils to match data sets with pie charts. Lesson examines Qualitative and Quantitative data. Categorical and Ordinal data. Questions on which display methods should be used for different types of data. All answers included.
Transformations and Invariance
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Transformations and Invariance

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Starter asks pupils to recognise which transformation produced an image [MC]. Definition of invariance and then examination of how each transformation does (or doesn’t) produce invariant points. Question slides. All answers included on ppt.
Expanding Brackets - Grid Method
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Expanding Brackets - Grid Method

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Expanding two or three brackets using the Grid method. Starter covers algebraic multiplication grids and multiplying two-digit numbers reviewing the grid method. Worked examples and question slides for both two and three bracket examples of increasing difficulty. All answers included.