Year 10 Term 4

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Year 10 Term 4

Solving Complex Quadratics by Factorising

In this mathematics lesson students learn how to solve quadratics in the form ax2 + bx + c = 0 through factorisa...

Recurrence Formulae

In this mathematics lesson students learn how to generate terms of a sequence using a recurrence formula.  As le...

Nth Term Quadratic

To find the nth term of a quadratic sequence students are taught to break down the formula into into quadratic, ...

Nth Term Linear

Students learn how to create formula, called the nth term, to algebraically describe a numerical and picture ari...

Geometric Sequences

Throughout this mathematics lesson students learn how to derive the nth term for geometric sequences in the form...

Generating a Sequence

Students learn how to generate sequences using the nth term formula.  As learning progresses they progress from ...

Distance Vs Time Graphs

Students learn how to plot and interpret distance vs. time graphs by examining the rate at which distance change...

Speed Vs Time Graphs

Students learn how to plot and interpret speed vs. time graphs.  By considering the direction of the graph stude...

Speed as a Compound Measure

Students learn how to calculate speed as a compound measure of distance and time.  As learning progresses studen...

Pressure

Students learn how to calculate the pressure of an object at rest as a compound measure of force and area.  As l...

Density

Students learn how to calculate the density of 3D solids as a compound measure of volume and mass.  As learning ...

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...

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 […]