Algebra

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Algebra

Changing the Subject of a Formula

Students learn about changing the subject of a formula using the balance method.  As learning progresses they us...

Creating a Sequence using Formulae

Students learn how about creating a sequence using formulae.  Students progress from using function machines to ...

Describing Number Patterns

Students learn describing number patterns on a term to term basis.  More able students tackle Fibonacci and geom...

Describing Picture Sequences

Students learn how about describing picture sequences.  During the lesson students learn how to model a picture ...

Drawing Parabolas

To practice drawing parabolas students learn how to create a table of results for a quadratic equation. They use...

Expanding Brackets and Collecting Like Terms

Students learn how to find the sum and difference of two algebraic expressions by expanding brackets.  Learning ...
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Expanding Cubic Expressions

Students learn how to write the product of three binomials by expanding a cubic expression. Learning progresses ...

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....

Factorising Expressions with Powers

Students learn how to factorise expressions with powers by taking out the highest common factor.  As learning pr...

Finding the nth Term of a Sequence

Students learn about finding the nth term of a sequence.  During the lesson they are taught how to break a seque...

Form and Solve Quadratic Equations

Students learn how to form and solve quadratic equations from geometry problems.  Problems include finding the a...

Horizontal and Vertical Straight Line Graphs

Students learn how to plot and find the equation of horizontal and vertical straight line graphs.  As learning p...

Instantaneous Rates of Change

Students learn how to calculate and interpret instantaneous rates of change in different contexts.  By drawing a...

Interpreting Straight Line Graphs

Students learn about interpreting straight line graphs by finding the gradient and intercept values.  As learnin...

Multiplying and Dividing with Algebra

Students learn about multiplying and dividing with algebra using the correct notation.  More able students are c...

Multiplying out algebraic brackets

Students learn how to expand a pair of brackets with the constant and unknown on the outside.  As learning progr...

Mr Mathematics Blog

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 […]

Plotting Quadratic Graphs on Cartesian Axes

In recent examiner reports it is noted how important it is for students to understand the properties of a parabola  when plotting quadratic graphs on Cartesian axes.  Students who have a secure understanding of parabolas can use them to correct miscalculated values in their table of results and are more likely to attain full marks […]