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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
Raw Numerical Data: Line of Best Fit
jchowelljchowell

Raw Numerical Data: Line of Best Fit

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GCSE Higher Lesson. Understand and use a Line of Best Fit on a scatter graph to analyse data and make predictions: Worked examples on drawing a line of best fit. MC quiz on which line on a scatter graph is the Line of Best Fit. How to make predictions using the LoBF. Question slides. Worksheet following lesson design. All answers included.
Raw Numerical Data: Quartiles and Box Plots
jchowelljchowell

Raw Numerical Data: Quartiles and Box Plots

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GCSE Higher Lesson. Extending the use of the Median to look at Quartiles. Examples of how to find the Quartiles with different sizes of data sets. Explanation and examples of how box plots are formed. Questions on all topics. Worksheet following lesson design. All answers included.
Converting Units
jchowelljchowell

Converting Units

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GCSE Higher Lesson. Converting between metric and imperial units.Starter on choosing reasonable units. Worked examples and question slides on converting between gallons and litres, miles and kilometres, kilograms and pounds and inches and centimetres. Plenary examining area. Worksheet reviewing lesson. All answers included.
Differentiated Codebreaker: Solving Two-step Equations WITH algebra
jchowelljchowell

Differentiated Codebreaker: Solving Two-step Equations WITH algebra

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Differentiated Codebreaker 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
Ratio - Writing a Ratio
jchowelljchowell

Ratio - Writing a Ratio

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Lesson covering the definition of a ratio and then examples and questions on writing 2 part and 3 part ratios in different contexts. Worksheet slide included to test understanding. All answers included.
Surds - Expanding Brackets
jchowelljchowell

Surds - Expanding Brackets

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Lesson exploring expanding single brackets involving surds. Then looks at expanding two brackets, including a single bracket squared. All explanations include worked examples and all question slides include answers.
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.
Ratio - Ratios and Fractions
jchowelljchowell

Ratio - Ratios and Fractions

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Lesson explaining the links between ratios and fractions. Looks at unsimplified and simplified ratios with 2 and 3 parts. Worked Examples, Questions on ech idea. Also looks at solving worded questions without diagrams. 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.
Find CF and HCF of Algebraic Expressions
jchowelljchowell

Find CF and HCF of Algebraic Expressions

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Lesson looking at finding Common Factors and Highest Common Factors of Algebraic Expressions. Starts with review of factors and common factors for number. Uses listing factors for algebraic expressions to introduce ideas before looking at a more factorising approach. Plenary looks at working backwards from factors to expressions using Venn diagrams. All worked examples and question slides have answers 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.
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.
Cones & Spheres: Volume and Surface Area
jchowelljchowell

Cones & Spheres: Volume and Surface Area

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Explanation of a cone as a type of pyramid and derives formulae from those of pyramids. Worked examples and questions. Formulae for spheres, worked examples and questions. Lesson also extends to look at hemispheres and compound shapes and use of π in answers. 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.
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.
Stratified Sampling
jchowelljchowell

Stratified Sampling

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A complete lesson on ‘Stratified Sampling’ that is suitable for GCSE. The lesson is written for the new GCSE specification. Starter on calculating angles for pie charts reintroducing idea of groups being proportions of the whole. Reminder on different types of Sampling and advantages/disadvantages of each. Stratified sampling explained and pupils asked to find the ‘sample proportion’ for data. Explains how to find frequencies of the sample. Questions on each idea. All answers included.
Types of Data
jchowelljchowell

Types of Data

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A complete lesson on ‘Types of Data’ written for the new GCSE. Starter asks pupils to match data sets with pie charts. Lesson examines Qualitative and Quantitative data. Categorical and Ordinal data. Questions on which display methods should be used for different types of data. All answers included.
Proportion - Recipes
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Proportion - Recipes

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Whole lesson covering using proportion to change quantities of ingredients for different servings. Worked examples Questions Extension questions. All answers included
Enlargement - Negative Scale Factors
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Enlargement - Negative Scale Factors

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Starter on scale factors. Worked examples on positive scale factors with a centre of enlargement and then extends to negative scale factors. Examples with integer and then fractional negative scale factors. Includes worksheet for pupils to write on. All answers (including for worksheet) included on the ppt.