## 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…

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…

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.…

Inspired by a conversation with Maryse (@AllThingsMaths) during a #MathsCPDChat, these questions show the remarkable prevalence of proportional relationships across the curriculum – all 12…

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.…

This fantastic set of questions by Karen Hancock – @karenshancock – nicely builds on my first circle theorems task, bringing in simultaneous equations, ratio, Pythagoras…

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…

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…

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…

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…

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…

This fantastic task kindly shared by @blatherwick_sam beautifully interweaves ratio and angles. A wonderful example of interweaving in maths!

This lovely set of questions by @jshmtn brings together calculations with standard form and converting between metric units of area.

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.

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…

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…

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…

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.

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.

This set of questions brings together sequences and surds, testing a variety of skills and concepts from both topics.

This set of questions brings together sequences with standard form, testing a variety of skills and concepts from both topics.

This set of questions uses solving linear equations to give opportunities for calculating all four operations with standard form.

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.

This set of questions allows for a lot of practice solving different forms of linear equations while requiring a variety of fractions skills.