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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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## 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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## 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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## 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

#### Comparing Datasets using the Mean and Range

In my experience, students, in general, find the concept of a mean straightforward to calculate and understand. However, the mean alone does not provide a complete picture of a set of data. To achieve this, a measure of spread is also required. The range is the simplest measure that can be used for this. Not […]

#### Solving Problems with Angles in Parallel Lines

Solving problems with angles in parallel lines is like solving a murder mystery.  One clue leads on to the next and the next until the murderer is found.  However, it doesn’t end there.  The detectives need to explain their reasoning in court using the relevant laws and procedures should the murderer plead not guilty.  If […]

#### Solving Two Step Equations using the Balance Method

An equation is when one expression, or term, is equal to another.  To solve an equation means to find the value of the variable (represented by a letter) that makes the two expressions equal.  There are two types of equations for secondary school mathematics, linear and none-linear.  In this blog I write about how I […]