Year 10 Term 4

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Year 10 Term 4

Metric Units of Area and Volume

Students learn how to convert between metric units of area and volume using diagrams and proportional reasoning....

Surface Area of Square Based Pyramids

Students learn how to use net drawings and apply Pythagoras' Theorem to calculate the total surface area of squ...

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 ...

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 […]