Algebra

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Algebra

Coordinates in the First Quadrant

Students learn how to plot and read coordinate in the first quadrant.As learning progresses students consider th...

Manipulating Sectors Formulae

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

Trial and Improvement

At the start of the lesson students set up an equation involving the area of rectangle which is solved using a m...

Equations with Function Machines

The start of the lesson reviews understanding basic algebraic notation using always and sometimes true statement...

Equations with Fractions

At the start of the lesson students recap solving equations where the unknown appears on one side of the equals ...

Equations with the Unknown on Both Sides

At the start of the lesson students review solving a two step linear equation using the balance method.  The dev...

Solving Equations

The start of the lesson introduces the need to generate and solve an equation through a sense of wonder and magi...

Geometrical Proof

Students learn how to construct a mathematical proof of various geometrical properties.  As learning progresses ...

Algebraic Proof

In this mathematics lesson students learn how to construct a mathematical proof using algebraic notation and com...

Algebraic Fractions Products & Quotients

In this mathematics lesson students learn how to multiply and divide with algebraic fractions.  As learning prog...

Adding and Subtracting Algebraic Fractions

The key idea with adding and subtracting algebraic fractions is to create common denominators.  As learning prog...

Solving Quadratic Equations Graphically

There are several examples for the teacher to demonstrate solving quadratic equations graphically.  Students wil...

Plotting Exponential Graphs

In this mathematics lesson students learn how to plot exponential graphs on Cartesian axes.  As learning progres...

Deriving the Equation of Tangents

In this mathematics lesson students progress from drawing and finding the equation of a circle to calculating th...

Equation of Circles

In this mathematics lesson students learn how to apply Pythagoras' Theorem to plot and derive the equation of c...

Mr Mathematics Blog

How to Simplify Surds

When learning how to simplify surds students need to understand the difference between a rational and irrational number. Rational numbers include integers and terminating and repeating decimals. They can be written as a fraction with both the numerator and denominator as integers. An irrational number is a number which, in its decimal form does not […]

Sharing an Amount to a Given Ratio

There are three common methods for sharing an amount to a given ratio.  Depending on the age group and ability range I am teaching I would choose one approach over the other two. The three methods are: Using fractions Unitary method Using a table In this blog I will demonstrate each of the three methods […]

Plotting Scatter Graphs and Understanding Correlation

To introduce plotting scatter graphs and understanding correlation I ask students to think about the relationships between different variables and to describe how they might be related. Here's my starter activity which students discuss in pairs then present to me on mini-whiteboards. When the students have had time to discuss the matching pairs we talk […]