Year 10 Term 3

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Year 10 Term 3

Adding and Subtracting in Standard form

Students learn how to use non-calculator methods to solve addition and subtraction problems involving standard f...

Circumference of Circles Problems

This lesson consolidates calculating the circumference of a circle and the perimeter of circular shapes.  Studen...

Circumference of Circles

Students are taken through the process of discovering the relationship between the radius, diameter and circumfe...

Area of Circles Problems

The lesson is intended to consolidate applying the area of circle formula to solve complex problems.  To extend ...

Area of Circles

Students are guided though the derivation of the Area of a Circle formula by approximating a circle from its sec...

Calculations with Surds

By simplifying surds using square factors students learn how to evaluate and simplify expressions, such as, expa...

Writing Numbers in Standard Index Form

Using place value students learn how to convert ordinary numbers to standard index form.  As learning progresses...

Calculations With Standard Index Form

To calculate with numbers written in standard form students are taught how to apply the rules of indices to a ba...

Rationalising Denominators

The start of the lesson reviews simplifying products and quotients involving surds since this is prerequisite kn...

Prime Factor Decomposition

Students learn how to break down a number using its prime factors and write the result using index notation.  As...

Indices with Negative Powers

Students learn how to calculate the reciprocal of a number and evaluate indices with negative powers.  As learni...

Highest Common Factor and Lowest Common Multiple

Using prime factors and Venn Diagrams students are able to calculate the highest common factor and lowest common...

Indices with Fractional Powers

Students use reciprocals to evaluate indices with fractional and decimal powers.  Using square and cube numbers ...

3D Trigonometry

To solve problems involving trigonomety in 3D shapes students are taught to identify 2D right-angled triangles a...

Trigonometry – Angles in Right-Angled Triangles

Students learn how to apply Sin, Cos and Tan to find missing angles in right-angled triangles.  As learning prog...

Trigonometry Introduction

Students discover the three trigonometric ratios Sin, Cos and Tan through constructions.  As learning progresses...

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 […]