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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
Understanding Proportion: Combining Ratios
jchowelljchowell

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
Codebreaker: Rectangles_Area and Perimeter
jchowelljchowell

Codebreaker: Rectangles_Area and Perimeter

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Two different sets of questions using the same keycode. Worksheets prepared with and without keycode to allow for use in classroom or for homework. Includes; a) PPT with keycode and all answers b) Worksheets with Tasks and keycode Just tasks to use with PPT keycode
Polygons: Interior Angles in Polygons
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Polygons: Interior Angles in Polygons

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GCSE Higher Lesson. Understand the angle sum for polygons with different numbers of sides Solve problems involving angle sums and/or numbers of sides and missing angles in polygons. Starter, worked examples, question slides, worksheet, all answers included
Grouping Discrete Data
jchowelljchowell

Grouping Discrete Data

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A complete lesson on ‘Grouping Discrete Data’, written for the new GCSE specification. Starter looks at whether data should be counted or measured and reinforces the differences between discrete and continuous data. Rationale for grouping examined. Examples of data being grouped, tallied and then represented. Questions and answers on slides.
Algebraic Proof
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Algebraic Proof

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Lesson covering algebraic definitions of consecutive, odd and even numbers. Proofs looked at 1] Prove that an expression is a multiple 2] Prove that two expressions are equal 3] Proofs involving properties of odd/even numbers. All skills are introduced through worked examples and have question slides. All answers included.
Indices: Prime Factorisation
jchowelljchowell

Indices: Prime Factorisation

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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.
Ratio - Combining Ratios
jchowelljchowell

Ratio - Combining Ratios

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“If a:b = 3:4 and b:c = 5:6, find the ratio a : b : c”. Lesson examining both algebraic and worded examples of combining ratios. Full explanation of use of LCM and equivalent ratios. Fully worked examples. Questions of both types. All answers included.
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.
Recognising Graphs
jchowelljchowell

Recognising Graphs

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Examines 4 types of graphs: Linear, Quadratic, Cubic and Reciprocal. Defines properties of each and similarities (intercept). Multiple Choice questions looking at matching names and then equations to graphs.
Grouping Continuous Data
jchowelljchowell

Grouping Continuous Data

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A complete lesson on ‘Grouping Continuous Data’, written for the new GCSE specification. Starter looks at whether data should be measured or counted leading into explanation of differences between discrete and continuous data. Explanation of why continuous data must be grouped. Examines why we don’t use bar charts for continuous data and what we do use. Questions and answers included on slides.
Transformations and Coordinates
jchowelljchowell

Transformations and Coordinates

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Starter; MC asking pupils to recognise different transformations. Examines how each transformation affects specific points and their coordinates. Rules and methods are derived. Worked examples of all skills and question slides. All answers included on the ppt.
Proportions and Fractions
jchowelljchowell

Proportions and Fractions

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Understand and write proportions as fractions and as algebraic relationships. Compare ratios and fractions. Express one variable in terms of another when represented as a ratio.
Ratio - Map Scales
jchowelljchowell

Ratio - Map Scales

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Lesson exploring how ratios and map scales are related and how to use the scale to find real-life distances from the map or map distances from real-life. Fully worked examples. Differentiated slide to allow all pupils to attempt questions. All answers included.
Circle Theorems
jchowelljchowell

Circle Theorems

10 Resources
Mini lessons covering each theorem individually. Worked examples and 6 questions on each. All answers included.
Simultaneous Equations - Non-Linear
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Simultaneous Equations - Non-Linear

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Exploring solving Simultaneous Equations where one equation is non-linear [quadratic]. Examples include factorising the quadratic, solving the quadratic with the formula, making the equations eqaul to each other rather than substituting. Full worked examples of all skills. Question slide broken into skills. All answers included.
Rearranging Linear Equations into the form y = mx + c
jchowelljchowell

Rearranging Linear Equations into the form y = mx + c

(1)
Lesson recapping gradient and y-axis intercept from y=mx + c. Structured examples on why and how some equations need to be rearranged to find the gradient and intercept. Worksheet with examples. Codebreaker activity included. All answers included.