Year 10 Term 6

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Year 10 Term 6

Applying Circle Theorems Involving Tangents

Students learn about applying circle theorems involving tangents to solve complex problems.  The alternate segme...

Applying Multiple Circle Theorems

Students learn about applying multiple circle theorems to solve complex problems. The relevant circle theorems a...

Solving Inequations

The start of the lesson is used to review deriving inequalities from number lines.  The development phase builds...

Inequalities

Students learn how to represent inequalities on a number using the correct notation.  As learning progresses stu...

Plotting Linear Inequalities

Students learn how to plot and calculate linear inequalities on a Cartesian axes.  As learning progresses they a...

Vector Addition and Subtraction

Students learn how to perform vector addition and subtraction using column notation.  As learning progresses stu...

Arc Length of Sectors

Students learn how to calculate the arc length of a sector by considering it as a proportion of a complete circl...

Area of Sectors

Students learn how find calculate the area of sectors using both calculator and non-calculator methods.  As lear...

Manipulating Sectors Formulae

Students learn how to manipulate the various formulae associated to the area of a sector and arc length to find ...

Modelling Inverse Proportion

Students learn how to model inverse proportion problems using the constant of variation, k.  As learning progres...

Direct Linear Proportion

Students learn how to model variables in direct linear proportion using the constant of proportionality, K.  As ...

Non-Linear Direct Proportion

Students learn how to model non-linear direct proportion functions using formulae and graphs.  Learning progress...

Circle Theorems

Students are taken through the discovery of various circle theorems. The theorems include, angle at the centre i...

Tangents Circle Theorems

This lesson guides the class through the discovery of circle theorems involving tangents. The theorems include, ...

Calculating lengths in similar shapes

Students learn how to identify and calculate missing lengths in similar shapes using the length scale factor. As...

Congruence

Students learn how to recognise and prove congruency using various angle properties and geometrical facts.  As l...

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 […]