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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
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.
Angle Reasoning - Angles on Straight Lines inc. Opposite Angles
jchowelljchowell

Angle Reasoning - Angles on Straight Lines inc. Opposite Angles

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Lesson explains why angles on a straight line add up to 180 degrees. Worked examples and questions on finding missing angles. Explanation of why opposite angles are equal. Worked examples and questions on finding missing angles giving reasons. Extends with questions using algebra rather than numerical information.
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.
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.
Linear Programming Constraints
jchowelljchowell

Linear Programming Constraints

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Written for the AQA GCSE topic. Starter looks at solving linear inequalities. Linear Programming definitions explained. Links to drawing inequalities made explicit. Worked examples of writing constraints. Questions. All answers included.
Linear Programming Solutions
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Linear Programming Solutions

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Written for the AQA GCSE topic. Starter looks at identifying inequalities on graphs. Worked examples of maximising objective functions. Worksheet with graph questions to solidify learning. All answers included.
Linear Programming
jchowelljchowell

Linear Programming

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2 lessons to cover the AQA GCSE topic on Linear Programming. The first lesson looks at definitions and writing constraints reviewing writing inequalities. The second lesson looks at maximising objectives and solutions. Worked examples for each skill. Worksheet for solutions lesson. All answers included.
Circles: Mensuration Review
jchowelljchowell

Circles: Mensuration Review

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Lesson reviewing lengths and areas involving circles. Starter involves naming parts of a circle. Examples and Questions cover circumferences using diameter or radius, area, lengths of arcs, areas of sectors. All topics have worked examples and questions. All answers included.
Similar Shapes - Area and Volume
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Similar Shapes - Area and Volume

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Using similarity to find areas of 2D shapes and volumes of 3D solids. Starter explores multiplicative relationships. Worked examples and table looking at 2D shapes to find relationship between side scale factor and area scale factor. Similar format extending to volume. Questions on all skills included. All answers included.
Algebraic Fractions - Simplifying
jchowelljchowell

Algebraic Fractions - Simplifying

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Starter looks at separate skills of simplifying numerical fractions and factorising algebraic expressions. Looks first at algebraic fractions which don’t need factorising, worked examples, questions. Then extends to look at fractions requiring factorising (including difference of two squares). Questions on all skills. All answers provided.
Algebraic Fractions: Add and Subtract
jchowelljchowell

Algebraic Fractions: Add and Subtract

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Lesson splits skill into 3 parts A: Fractions with numerical denominators B: Fractions with single expression denominators C: Fractions with multiple expression denominators Worked examples and questions on each skill. Problem Solving question using vector lengths. All answers included.
Quadratics -  Properties Algebraically
jchowelljchowell

Quadratics - Properties Algebraically

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Explores the properties of Quadratic Curves using an algebraic approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Questions on factorising to find roots, finding the line of symmetry and the turning point through substitution. Worked examples and questions on all skills. All answers included.
Quadratics-Find Properties Graphically
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Quadratics-Find Properties Graphically

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Explores the properties of Quadratic Curves using a graphical approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Starter looks at identifying quadratics, Multiple Choice questions on the properties. Moves on to questions asking pupils to plot a curve and then find the properties. Worked examples and all answers included.
The Pattern in Quadratic Sequences
jchowelljchowell

The Pattern in Quadratic Sequences

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Using the Term-to-Term Rule to generate quadratic sequences. Exploring differences and second differences to investigate the similarities between sequences. Worked examples of all skills. All answers included.
Sample Space Diagrams
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Sample Space Diagrams

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Lesson looking at creating sample space diagrams and then finding probabilities from them. Starter is on single event probabilities. Examples look at sums and products with dice and spinners. Worksheet included. All answers included. Answers for worksheet included on ppt.
Trigonometry - Cosine Rule
jchowelljchowell

Trigonometry - Cosine Rule

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Explanation and worked examples for using the Cosine Rule. Finding a missing side and finding a missing angle treated separately. Worked examples and question slides on each skill. All answers are worked through.
Functions - Composite Functions
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Functions - Composite Functions

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Starter looks at single functions. Explanation of the notation of composite functions [ie fg(x) and gf(x)]. Worked examples explaining that order is important. Questions on outputs from combining 2 functions. Combining 3 functions explained. Solving composite functions to find a single value included.All skills have worked examples and questions. All answers included.
Functions - defining and using
jchowelljchowell

Functions - defining and using

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Lesson describes functions from input-output machines. Definitions explained [range, domain etc]. Finding function rules, finding outputs and solving functions all examined through worked examples. Questions on each skill and general question slide on all skills. All answers included.
Rearranging Formulae
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Rearranging Formulae

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Lesson introduces language of formulae, variables, subject etc. Uses simple formulae with rectangles and circles to explain calculating an alternative variable. Looks first at formulae where variables only occur once. Extenda to look at examples where variables occur more than once. All skills have worked examples and questions. All answers included.