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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
Inequalities - Number Lines
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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
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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
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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.
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
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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.
Types of Data
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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.
Vector Arithmetic
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Vector Arithmetic

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Lesson examines how vectors can be combined. Starter asks pupils to identify vector required between two coordinates. Vector arithmetic with both diagrams and column vectors explained. Worked examples and questions on all skills. All answers included on ppt.
Expanding Brackets - Grid Method
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Expanding Brackets - Grid Method

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Expanding two or three brackets using the Grid method. Starter covers algebraic multiplication grids and multiplying two-digit numbers reviewing the grid method. Worked examples and question slides for both two and three bracket examples of increasing difficulty. All answers included.
Drawing Histograms
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Drawing Histograms

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9-1 GCSE lesson: Starter covers problems with bar charts. Explanations of the need for frequency density. Examples of calculating frequency density. Worked examples of drawing a histogram. Worksheet inlcudes questions from ppt. ALL answers included.
Analysing Histograms
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Analysing Histograms

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9-1 GCSE lesson examining finding information from a histogram. Worked examples on: 1] Finding frequencies when Frequency Density is given 2] Finding frequencies when Frequency of 1 group is given. 3] Finding %s above or below a given measure. Questions on all topics. Worksheet duplicates Question slide on ppt. ALL answers included.
Coordinate Geometry: Midpoint and Length
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Coordinate Geometry: Midpoint and Length

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9-1 GCSE lesson exploring finding the midpoint and length of a line segment. Starter: Plotting points and identifying quadrilaterals from the plots. Worked examples finding midpoints 1] graphically and 2] numerically. Questions. Worked examples finding lengths of line segments using Pythagoras, questions. All answers included.
Cumulative Frequency and Box Plots
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Cumulative Frequency and Box Plots

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Drawing a CUmulative Frequency Graph. Finding LQ, Median, UQ and using this information to draw a Box Plot. Definitions all terms. Worked examples and question slides. ALL answers included.
Bearings
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Bearings

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Looking at definitions , measuring, calculating and drawing bearings. Worked examples and question slides. All answers included
Congruence
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Congruence

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Looking at how we define congruence and how it can be proved. Worked explanations and examples with and without numerical angles. Question slides and all answers included.
Problem solving with Upper & Lower Bounds
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Problem solving with Upper & Lower Bounds

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Lesson reviews how to find Bounds. Examines calculations and highlights that multiplication can produce error intervals greater than the bounds. Worked examples of Bounds problems including area, volume and compound measures. Question slides, fully worked answers. MC plenary on how to find a Bound.
Understanding Proportion: Inverse Proportion
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Understanding Proportion: Inverse Proportion

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GCSE Higher Lesson. Understand a proportional relationship and how it appears. Use inverse proportion to solve problems. Starter, worked examples, worksheet(different questions, same formats), all answers included
Understanding Proportion: Combining Ratios
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Understanding Proportion: Combining Ratios

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GCSE Higher Lesson. Understand a proportional relationship and how it appears. Solve problems involving combining ratios and subsequently finding shares. Starter, worked examples, worksheet(different questions, same formats), all answers included