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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
Converting Time
jchowelljchowell

Converting Time

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GCSE Higher Lesson. Converting between decimal time and time in hours and minutes. Starter finding days between two dates. Worked examples. Question slides. Entering time on a calculator. Worksheet reviewing lesson. All answers included.
3D Pythagoras & Trigonometry
jchowelljchowell

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.
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.
Ratio: Simplifying ratios_ decimals/ fractions
jchowelljchowell

Ratio: Simplifying ratios_ decimals/ fractions

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Lesson looking at how we simplify rations which have either decimals or fractions as their component shares. Starter reviews simplifying and sharing with integer shares. Ratios with decimals looks at multiplying by powers of 10 and then simplifying where appropriate. Ratios with fractions looks at examples with common denominators and with different denominators. Differentiated slides on each topic. All worked examples and question slides include answers.
Two-Way Tables
jchowelljchowell

Two-Way Tables

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Lesson looking at using two-way tables to find probabilities. Starter is a number puzzle finding answers from sums of rows and columns. Examples of populating a two-way table and finding probabilities. Worksheet has questions with table partly filled and questions requiring table to be filled from information. All answers included. Answers for worksheet included as slides on ppt.
Vector Proof
jchowelljchowell

Vector Proof

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Starter looks at adding vectors. Demonstrates how to find the magnitude of a vector using Pythagoras. Explanation of proving vectors are parallel and then if three points are on a straight line (collinear). Worked examples and questions on all skills. All answers included on ppt.
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.
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.
Proportion - The Unitary Method
jchowelljchowell

Proportion - The Unitary Method

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Calculating solutions to proportion problems using the Unitary Method. Full explanation of why and how. Worked examples, individual questions and slides of multiple questions which could be used as worksheets. All answers included
Ratio - Sharing in a Ratio - Words
jchowelljchowell

Ratio - Sharing in a Ratio - Words

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Lesson looking at solving ratio questions using a structured worded approach [total shares, 1 share etc]. Full examples with 2 part and 3 part ratios. Questions covering 2 part ratios and 3 part ratios. Differentiated worksheet slide. All answers included.
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.
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.
Function Machines: Introducing Algebra
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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.
Recurrence Relations
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Recurrence Relations

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Examining the language and use of recurrence relationships. Looks at linear then geometric sequences. Worked examples, questions and match-up activities follow. Then extends to include relations with more then one operation or more than one term leading to Fibonnaci-style sequences and Square Numbers. All answers included.
Using the nth term - Linear Sequences
jchowelljchowell

Using the nth term - Linear Sequences

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Starter asks pupils to describe number patterns from pictures. Then examining the properties of Linear Sequences from term-to-term rules, pictures, straight line graphs. Examples of how the general rule is used: finding terms, finding positions of terms, seeing if a number belongs in a sequence, finding common terms in two sequences. Worked examples and question slides on each topic. All answers included.
Geometric Sequences
jchowelljchowell

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.
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.
Forming Simultaneous Equations
jchowelljchowell

Forming Simultaneous Equations

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Looks at how we know what equations to write to solve problems. Starter includes solving equations and substitution. Examples written to trigger a structured method. Full worked examples and questions. Extension slide includes non-linear example, an example where one answer is nonsensical and one example using ratios. All answers included.