Similar Shapes, Trigonometry, and Pythagoras Proofs
This pair of tasks interweaves similar and congruent triangles with finding perimeters, areas, angles using trigonometry and, finally, proving Pythagoras’ theorem. Inspired by Teaching Together…
Equations of Straight Lines and Area
Karen Hancock (@karenshancock) is back with another brilliant interwoven task, this time bringing together equations of straight lines and areas of triangles, trapeziums and parallelograms.…
Interweaving Proportion Across the Curriculum
Inspired by a conversation with Maryse (@AllThingsMaths) during a #MathsCPDChat, these questions show the remarkable prevalence of proportional relationships across the curriculum – all 12…
Areas of Trapeziums
This is an incredible series of four tasks by Karen Hancock, @karenshancock, interweaving finding areas of trapeziums with fractions, decimals, compound shapes and solving equations.…
Solving Further Equations with Circle Theorems
This fantastic set of questions by Karen Hancock – @karenshancock – nicely builds on my first circle theorems task, bringing in simultaneous equations, ratio, Pythagoras…
Investigation into Factors and Volumes
In today’s Year 8 lesson I discovered a startling fact: the number of cuboids you can make from 𝑛 cubes is equal to the number…
Using Ratios to Find Angles in Polygons
This brilliant task shared by Stephen Gregory (@ALPMaths) feels like the spiritual successor to Sam Blatherwick‘s wonderful task Using Ratios to Find Angles. I really…
L-shapes with Fractions
This is my second post inspired by Jo Morgan‘s video about using the KS2 curriculum to inform Year 7 teaching, available here. This task looks…
Rounding with…
One thing I found very interesting recently was listening to Jo Morgan talking about the importance of understanding the KS2 Maths curriculum in order to…
Area and Perimeter with Standard Form
Another excellent contribution by @Jshmtn, this time using standard form with some area and perimeter calculations. I love finding ways to give context to standard…
Using Ratios to Find Angles
This fantastic task kindly shared by @blatherwick_sam beautifully interweaves ratio and angles. A wonderful example of interweaving in maths!
Converting Units of Area with Standard Form
This lovely set of questions by @jshmtn brings together calculations with standard form and converting between metric units of area.
Solving Trigonometric Equations with The Factor Theorem
This set of questions requires using the factor theorem and polynomial division to solve trigonometric equations.Questions 4-6 also require using the two core trig identities.
Solving Linear Equations from Circle Theorems
This set of questions requires using various circle theorems to form and solve linear equations with unknowns on both sides. A lovely sequel to this…
Averages with Surds
This task requires pupils to simplify lots of surds, and then manipulate them to find averages and the range. The second column requires finding the…
Sequences with Fractions
This task tests arithmetic and geometric sequences skills, while requiring using all four operations with fractions and giving opportunities for discussion of reciprocals, improper fractions/mixed…
Averages with Fractions
This task has pupils find means, medians and ranges of groups of fractions, requiring lots of adding, subtracting, dividing and ordering improper fractions and mixed numbers.
Solving Linear Equations from Parallel Lines
This set of questions requires using facts about angles in parallel lines to form and solve linear equations, including ones with unknowns on both sides.
Sequences with Surds
This set of questions brings together sequences and surds, testing a variety of skills and concepts from both topics.
Sequences with Standard Form
This set of questions brings together sequences with standard form, testing a variety of skills and concepts from both topics.
Solving Linear Equations with Standard Form
This set of questions uses solving linear equations to give opportunities for calculating all four operations with standard form.
Solving Linear Equations with Decimals
This set of questions allows for a lot of practice of solving different forms of linear equations while reviewing concepts and procedures relating to decimals.
Solving Linear Equations with Fractions
This set of questions allows for a lot of practice solving different forms of linear equations while requiring a variety of fractions skills.