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

Calculating the Volume of a Pyramid

When calculating the volume of a pyramid we can substitute the values of the length, width and perpendicular height into the formula V = 1/3 lwh.  In my experience this is often provided for the students with little explanation as to why a volume of a pyramid is exactly one third the volume of a […]

Solving 3D Problems using Trigonometry

When teaching solving 3D problems using trigonometry we begin the lesson with a recap of Pythagoras’ Theorem and the three trigonometric ratios.  We do this by matching the ratio and equations to the respective right-angled triangle.   Students are encouraged to work in pairs and to show the diagrams as part of the working out on […]

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 […]