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## Coordinates in all Four Quadrants

Students learn how to plot and read coordinate pairs in all four coordinates.  As learning progresses students c...
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## Plotting Cubic Functions

Students learn how to plot cubic functions by completing a table of results and choosing appropriate axes.  As l...
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## Writing Expressions using Diagrams

Students learn about writing expressions using diagrams.  As learning progresses they create their own shapes fr...
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## Geometrical Proof with Vectors

Students learn how to use vector notation to prove geometrical facts about 2D shapes.  Throughout the lesson stu...

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## Problem Solving with Number

Students practise problem solving with number using times tables, addition, subtraction and the order of operati...
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## Adding and Subtracting with Negative Numbers

Adding and subtracting with negative numbers is taught through the use of a number line.  As learning progresses...
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## Sharing in a Given Ratio

Students learn how to divide a quantity into two or more parts when given a ratio.  As learning progresses stude...
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## Calculations with Limits of Accuracy

Students learn how to find the limits of accuracy in calculations using the upper and lower bounds of different ...

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## Pythagoras’ Theorem – Solving Complex Problems

Students learn how to use Pythagoras' Theorem to calculate unknown lengths in a range of problems involving rig...
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## Angles of Elevation and Depression

Students learn how to construct and use scale drawings to measure angles of elevation and depression and unknown...
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## Geometrical Proof with Vectors

Students learn how to use vector notation to prove geometrical facts about 2D shapes.  Throughout the lesson stu...
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## Nets of Solids

Nets of Solids: Students learn how to visualise a solid 3D shape from its net and how different nets can create ...

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## Interpreting Histograms

Students learn how to interpret histograms with unequal class widths at higher GCSE mathematics level.  As learn...
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## Probability Experiment

Students carry out a probability experiment to explore the relationship between theoretical and experimental pro...
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### Mr Mathematics Blog

#### Rounding to a significant figure

When I teach rounding to a significant figure, I ask the class to discuss in pairs or small groups a definition for the word significant.  It is a word that all the students have heard before but not all are able to define. After 2 or 3 minutes of conversation I ask the students to […]

#### Calculating Instantaneous Rates of Change

When calculating instantaneous rates of change students need to  visualise the properties of the gradient for a straight line graph.   I use the starter activity to see if they can match four graphs with their corresponding equations. The only clue is the direction and steepness of the red lines in relation to the blue line […]

#### Converting Between Fractions, Decimals and Percentages

Fractions, decimals and percentages are ways of showing a proportion of something.  Any fraction can be written as a decimal, and any decimal can be written as a percentage.  In this blog I discuss how to use the place value table and equivalent fractions to illustrate how fractions, decimals and percentages are connected. You can […]