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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
Density
jchowelljchowell

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.
Special Number Patterns
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Special Number Patterns

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GCSE Higher Lesson. Starter. Explanations of Square Numbers, Cube Numbers, Triangular Numbers, Fibonacci Sequence. Connections between square and triangular numbers. Question slides on finding terms and term-to-term rules. Worksheet reviewing topics.
Calculations with Bounds
jchowelljchowell

Calculations with Bounds

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GCSE Higher Lesson. Find the Upper and Lower bounds of the results of calculations. Starter. Worked examples involving addition, multiplication and division. Question slides. Worksheet reviewing lesson. All answers included.
3D Pythagoras
jchowelljchowell

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.
Prime Factors, Indices & HCF
jchowelljchowell

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.
Changing Orientation
jchowelljchowell

Changing Orientation

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Lesson aimed at reviewing KS3 learning on reflection and rotation. Continues to look more specifically at how coordinates are affected by these transformations. Includes recaps on naming straight lines, finding mirror lines and centres of rotations, All answers included.
Expressing Measurement Errors using Inequalities
jchowelljchowell

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.
Solving Inequalities- Single Variable
jchowelljchowell

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
jchowelljchowell

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
jchowelljchowell

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.
Solving Quadratics-The Quadratic Formula
jchowelljchowell

Solving Quadratics-The Quadratic Formula

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Lesson explaining the use of the quadratic formula. Explanation of how to find a,b,c.Step by step worked examples and explanations. Question slides with fully worked answers. Plenary looks at rearranging into appropriate form. ALL answers included.
Plotting Inequalities - Sloping Lines
jchowelljchowell

Plotting Inequalities - Sloping Lines

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Starter reviews single inequalities (naming and drawing) and listing integers. Explains how to draw multiple inequalities including sloping lines. Reviews how to draw a straight line. Questions on all skills. All answers included.
Recognising Multiple Inequalities
jchowelljchowell

Recognising Multiple Inequalities

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Lesson starter includes recognising inequalities with vertical and horizontal lines, plotting inequalities. Lesson explores inequalities including sloping lines first with two inequalities and then with three. Worked examples and questions on each skill. All answers included.
Graphing Inequalities-multiple variables (horizontal and vertical)
jchowelljchowell

Graphing Inequalities-multiple variables (horizontal and vertical)

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Lesson explores how we graph up to 4 inequalities on a single graph. Starter looks at single variable inequalities. Lesson concentrates on expressions such as -3<x<3 and -2<y<4 before combining them to name and then draw rectangular regions. Questions on each skill [naming and drawing]. All answers provided.
Graphing Inequalities- Single Inequality
jchowelljchowell

Graphing Inequalities- Single Inequality

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Reviews naming straight line graphs. Explores naming regions through examining coordinates. Explains how to differentiate between “less than” and “less than or equal to” using a dashed line. Worked examples and questions on horizontal and vertical lines. Then looks at diagonal lines such as y=x or y=2x+1 wiht worked questions and examples. Differentiated question slide on drawing inequalities (reproduced as word document). All answers included.
Linear Equations - Review Lesson
jchowelljchowell

Linear Equations - Review Lesson

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Using the balance method to solve 1. One-step equations 2. Two-step equations 3. Equations with Brackets 4. Equations with unknowns on both sides 5. Equations with unknowns on both sides where both sides are fractions Negative and non-integer examples. Worked examples of all skills. Questions on all skills. All answers provided.
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.
Angle Reasoning: Angles in Quadrilaterals
jchowelljchowell

Angle Reasoning: Angles in Quadrilaterals

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Lesson explains why angles in a quadrilateral add up to 360 degrees by splitting the shapes into 2 triangles . Worked examples and questions on finding missing angles. Extends with questions including right angles exterior angles and opposite angles.