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...

Estimating the Area Under a Curve

Students learn about estimating the area under a curve using the trapezium rule.  As learning progresses they in...

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...

Mr Mathematics Blog

Comparing Datasets using the Mean and Range

In my experience, students, in general, find the concept of a mean straightforward to calculate and understand. However, the mean alone does not provide a complete picture of a set of data. To achieve this, a measure of spread is also required. The range is the simplest measure that can be used for this. Not […]

Solving Problems with Angles in Parallel Lines

Solving problems with angles in parallel lines is like solving a murder mystery.  One clue leads on to the next and the next until the murderer is found.  However, it doesn’t end there.  The detectives need to explain their reasoning in court using the relevant laws and procedures should the murderer plead not guilty.  If […]

Solving Two Step Equations using the Balance Method

An equation is when one expression, or term, is equal to another.  To solve an equation means to find the value of the variable (represented by a letter) that makes the two expressions equal.  There are two types of equations for secondary school mathematics, linear and none-linear.  In this blog I write about how I […]