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

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 […]