GCSE

Showing 1–16 of 261 results

GCSE

Adding and Subtracting in Standard form

Students learn how to use non-calculator methods to solve addition and subtraction problems involving standard f...

Addition and Subtraction with Fractions and Mixed Numbers

Students learn how to perform addition and subtraction with fractions and mixed numbers.  As learning progresses...

Applying Circle Theorems Involving Tangents

Students learn about applying circle theorems involving tangents to solve complex problems.  The alternate segme...

Applying Multiple Circle Theorems

Students learn about applying multiple circle theorems to solve complex problems. The relevant circle theorems a...

Calculating a Repeated Percentage Change

Students learn how to calculate a repeated percentage change using decimal multipliers.  As learning progresses ...

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 Cubic Expressions

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

Factorising Expressions with Powers

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

Form and Solve Quadratic Equations

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

Frequency Trees

Students learn how to create frequency trees from two-way tables and written descriptions.  As learning progress...

Instantaneous Rates of Change

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

Metric Units of Area and Volume

Students learn how to convert between metric units of area and volume using diagrams and proportional reasoning....

Proportion and Recipes

Students learn how to use proportion and ratio notation to adjust recipes for different amounts.  As learning pr...

Pythagoras’ Theorem in 3D

Students learn how to calculate unknown lengths in cuboids and other solids by applying Pythagoras' Theorem in ...

Solving Quadratic Identities

Students learn how to solve quadratic identities by completing the square and equating terms. As learning progre...

Surface Area of Square Based Pyramids

Students learn how to use net drawings and apply Pythagoras' Theorem to calculate the total surface area of squ...

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 […]