Equations

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Equations

Factorising Expressions into a Pair of Brackets

Students learn how to factorise an algebraic expression into a pair of brackets using the highest common factor....

Setting up and Solving Equations

Students learn how to set up an equation using written descriptions and known geometrical facts.  Once the equat...

Solving Equations with Brackets

Students learn how to solve linear equations involving brackets and fractions using the balance method.The s...

Solving Equations with the Unknown on Both Sides

Mathematics lesson where students learn about solving equations with the unknown on both sides using the balance...

Solving One Step Equations

Students learn how to solve a simple equation using the balance.  To do this they are taught how opposite functi...

Solving Two Step Equations

Using the balance method students are taught how to solve two-step equations involving multiplications and divis...

Problems with Simultaneous Equations

To introduce the idea of equivalent equations the starter involves calculating the common factor between multipl...

Solving Simultaneous Equations

At the start of the lesson students review deriving and solving a simple equation from a geometrical puzzle.  Th...

Solving Simultaneous Equations Graphically

The start of the lesson involves recognising the properties of linear functions both algebraically and graphical...

Solving Complex Quadratics by Factorising

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

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

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 […]