Algebra

Showing 81–96 of 114 results

Algebra

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...

Plotting Reciprocal Functions

Students learn about plotting reciprocal functions using a table of results and choosing suitable axes.  As lear...

Plotting Quadratic Functions

Students learn about plotting quadratic functions by completing a table of results and choosing a suitable scale...

Plotting Cubic Functions

Students learn how to plot cubic functions by completing a table of results and choosing appropriate axes.  As l...

Working with Functions

Students learn how to use the correct notation to calculate outputs and inputs for complex functions.  As learni...

Translating Functions

Students learn how to perform and describe graphical transformations in the form f(x+a) for horizontal translati...

Stretching Functions

Students learn how to transform a graph through a horizontal stretch in the form f(ax) or vertical stretch in th...

Solving Equations Through Iteration

Students learn how to use numerical methods to solve equations through iteration.  As learning progresses they a...

Inverse Functions

In this mathematics lesson students learn how to find the inverse of a function using function machines.  As lea...

Composite Functions

In this mathematics lesson students learn how to find the output of composite functions using the correct notati...

Equations with Algebraic Fractions

Students learn how to solve equations with algebraic fractions by finding common denominators and using the bala...

Simplifying Algebraic Fractions

When simplifying algebraic fractions students first need to be able to factorize and expand linear as well as qu...

Writing Formulae

Students learn how to write mathematical formulae using written descriptions.  As learning progresses students b...

Substitution into Formulae

Students learn how to substitute known values into formulae using the order of operations and algebraic notation...

Rearranging Formulae by Factorising

Students learn how to change the subject of a formula by factorising and the balance method.  A treasure hunt ac...

Mr Mathematics Blog

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 […]

Calculating Instantaneous Rates of Change

When calculating instantaneous rates of change students need to  visualise the properties of the gradient for a straight line graph.   I use the starter activity to see if they can match four graphs with their corresponding equations. The only clue is the direction and steepness of the red lines in relation to the blue line […]

Converting Between Fractions, Decimals and Percentages

Fractions, decimals and percentages are ways of showing a proportion of something.  Any fraction can be written as a decimal, and any decimal can be written as a percentage.  In this blog I discuss how to use the place value table and equivalent fractions to illustrate how fractions, decimals and percentages are connected. You can […]