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

Showing Progress during a Mathematics Lesson

Demonstrating student progression during a mathematics lesson is about understanding the learning objective and breaking that down into explicit success criteria. Using Success Criteria Take, for example, a lesson on calculating the area of compound rectilinear shapes. The intended learning objective was written on the main whiteboard. Success criteria were used to break down the individual […]

Plotting and Interpreting Conversion Graphs

Plotting and interpreting conversion graphs requires linking together several mathematical techniques.  Recent U.K. examiner reports indicate there are several common misconceptions when plotting and interpreting conversion graphs.  These include: drawing non-linear scales on the x or y axis, using the incorrect units when converting between imperial and metric measurements, taking inaccurate readings from either axis not […]

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 […]