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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
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.
3D Pythagoras & Trigonometry
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3D Pythagoras & Trigonometry

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9-1 GCSE lesson. Starter bingo reviewing trig ratios. Worked examples of using pythagoras and trigonometry with cuboids, pyramids and prisms. Questions. Answers provided for all questions.
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.
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.
Year 6 SATs Review Starter - February, March + April
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Year 6 SATs Review Starter - February, March + April

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A set of 5 questions for each day in February and March reviewing 3 arithmetic questions and 2 reasoning questions and in April reviewing 2 arithmetic questions and 3 reasoning questions. Ideal as lesson starter. Full answers provided. Could be used as KS3 starter reviewing previous learning.
Surds - Problem Solving
jchowelljchowell

Surds - Problem Solving

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Lesson looks at using surds with within questions such as finding areas and perimeters of shapes. Finding missing sides in right-angled triangles. Finding surface areas and volumes. Worked examples. All answers included.
Surds - Rationalising
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Surds - Rationalising

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Lesson explores rationalising involving single expression denominators, denominators with the surd multiplied by a coefficient and the use of a conjugate where the denominator expression requires the difference of two squares method to remove the square root. All skills are demonstrated by worked examples and differentiated question slides are included. Exam style questions included. All answers included.
Inequalities - Number Lines
jchowelljchowell

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.
Angle Reasoning - Naming Lines and Angles
jchowelljchowell

Angle Reasoning - Naming Lines and Angles

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Lesson looking at conventions of naming straight lines and angles. Starter examines pupils understanding of types of angles. Fully worked examples and questions to consolidate and demonstrate understanding.
Angles on a Straight Line
jchowelljchowell

Angles on a Straight Line

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Lesson looking at finding missing angles on a straight line. Starter looks at sums to 180, and simple equations to 180. Explanation of why 360 degrees in a circle and thus why 180 on a straight line. Examples finding missing angles with numbers and then with algebra. All examples and question slides include fully-worked answers
Angle Reasoning: Angles in a Triangle
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Angle Reasoning: Angles in a Triangle

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Lesson uses alternate angles and angles on a straight line to explain why angles in a triangle up to 180 degrees. Worked examples and questions on finding missing angles. Extends to include isosceles triangles, then exterior angles and opposite angles. All answers included.
Function Machines: Introducing Algebra
jchowelljchowell

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.
Drawing Non-Linear Graphs
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Drawing Non-Linear Graphs

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Plotting Quadratic Graphs using tables of values. Review of straight line graphs and substitution. Worked examples of different quadratic curves and what is meant by “appropriate axis”. Questions and all answers all included.
Solving Equations Graphically
jchowelljchowell

Solving Equations Graphically

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Lesson explores solving non-linear equations graphically. Examples look at adding horizontal lines [y=4 etc] and then sloping lines [y=x+2] to solve different problems.
Equation of A Circle
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Equation of A Circle

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Starter using Pythagoras to find diagonals of quadrilaterals. Use of Pythagoras to explain equation of a circle based on the origin. Extends to look at circles not centred on the origin. Plenary looks at an example of simultaneous equations with a circle. Worked examples and question slides. All answers included.
Geometric Sequences
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Geometric Sequences

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Lesson looks at the differences between arithmetic and geometric sequences through the them to term rule. Explains using a term to term rule to find the next terms. The General Rule is then explored. How to find terms from the General Rule is explained. All ideas also have question slides and all answers are included.
Frustums- Volume
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Frustums- Volume

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Starter looks at using the formulae for volume and surface areas for 3D shapes. Explanation of frustum as shape created when top removed from cone or pyramid. Examples of finding volume of a frustum with lengths of whole cone/pyramid included. Extends by looking at using similarity to find volume when given only frustum. Worked examples and questions for all skills. 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.