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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
Rearranging Formulae
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Rearranging Formulae

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GCSE Higher Lesson. Rearrange a formula where the subject appears once. Starter: Substitution and solving to solve algebraic problems Explanation of subjects, objects and variables in formulae. Worked examples , differentiated questions and answers. Worksheet following lesson design. All answers included.
Raw Numerical Data:  Vertical Line Charts
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Raw Numerical Data: Vertical Line Charts

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GCSE Higher Lesson. Understand and use Vertical Line Charts Highlighting the similarities and differences between bar charts and vertical line charts. Examples and question slides on drawing and problem solving. Worksheet following lesson design. All answers included.
Estimating Calculations
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Estimating Calculations

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GCSE Higher Lesson. Estimate different calculations and values, including square roots. Starter. Worked examples. Question slides. Worksheet reviewing lesson. All answers included.
Writing Numbers in Standard Form
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Writing Numbers in Standard Form

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9-1 GCSE Lesson covering what standard form is, why we use it. How to convert from ordinary numbers to standard form and vice-versa. Examples and a differentiated LIMBO worksheet all with answers provided. Plenary is an exam style question involving converting between units of mass and ordering.
3D Pythagoras
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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.
Problem Solving with Pythagoras
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Problem Solving with Pythagoras

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Review lesson on Pythagoras Theorem followed by contextual questions eg distance between two points, lengths of diagonals in quadrilaterals, distances from journeys described using bearings. 2 Starters on calculating square roots and estimating square roots. Answers provided for all questions.
Trigonometry in Right Triangles
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Trigonometry in Right Triangles

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9-1 Lesson applying trigonometry to right triangles. Starter reviews trig functions. Questions using trig in rectangles, isosceles triangles, angles of elevation & depression, problem solving. Worked examples, questions - full answers provided.
Exact Trigonometric Values
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Exact Trigonometric Values

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9-1 GCSE Lesson explaining the derivation of the exact values for sin,cos & tan of 30,45,60 degrees. Includes a worksheet [slide 13] for pupils to complete and questions & answers examining how these values are used in 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.
Rounding and Estimating with SIgnificant Figures
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Rounding and Estimating with SIgnificant Figures

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GCSE lesson includes starter on 1 million of different units, how to round with SF. 10Q multiple choice to check understanding. How to estimate with SF including worked examples. 12 Questions on estimating. ALL answers provided.
Proportion - What is Proportion?
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Proportion - What is Proportion?

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A lesson covering what exactly a proportion is and the ways in which we can write them using words, fractions , decimals or percentages. Starts with proportions of colours in shapes, moves to worded questions. All solutions included.
Proportion - Identifying Direct Proportion
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Proportion - Identifying Direct Proportion

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Lesson using idea of a function machine to explain the definitions and explore examples of direct proportion. Covers use of division and how to express using multiplication. Worked examples. Questions on identifying direct proportion and on finding missing values. All answers provided.
Ratio - Simplifying a Ratio
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Ratio - Simplifying a Ratio

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Lesson explains simplifying firstly using rows of diagrams then using HCF. Worked examples and slides of questions firstly with the HCF provided , then with pupils needing to find the HCF themselves.
Identities, Equations and Inequalites
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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.
Simultaneous Equations - Substitution
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Simultaneous Equations - Substitution

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Explores using substitution to solve simultaneous equations when at least one coefficient is 1 when none of the coefficients is 1. Starter looks at rearranging Worked examples and questions on all ideas. All answers included.
Angle Reasoning - Naming Lines and Angles
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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.
Expressions: Formulae and Equations
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Expressions: Formulae and Equations

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Lesson explores how to move from writing expressions in words to using letters and how this move helps to write formulae and equations. How to write simple expressions using letters. How to simplify expressions using letters. How to write two step problems and the importance of units being consistent [£ and p]. Full worked examples, questions and all answers included.
Angle Reasoning: Angles in Regular Polygons
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Angle Reasoning: Angles in Regular Polygons

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Lesson looks first at the difference between regular and irregular polygons. The angle sum for polygons is then explored. Explanation of how to find the interior angle of a regular polygon, worked examples and questions. Then how to find the exterior angles of regular polygons. Worked examples and questions. All answers included.
Angle Reasoning: Angles in Quadrilaterals
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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.