A powerpoint including examples, worksheets and solutions on 3D sketching of prisms and other solids, nets of 3D solids, drawing on isometric paper and plans/elevations. Worksheets at bottom of presentation for printing.

A powerpoint with explanations and worksheets covering rounding to decimal places and significant figures, estimation, upper & lower bounds and error intervals.

Basically colouring by numbers, but with questions on Pythagoras' theorem. Actually created by one of my pupils!

A complete lesson (or maybe two) for introducing the area rule of a circle. Activities included: Starter: A mini-investigation where pupils estimate the area of circles on a grid. Main: Quickfire questions to use with mini whiteboards. A worksheet of standard questions with a progression in difficulty. A set of three challenging problems in context, possibly to work on in pairs. Plenary: Link to a short video that ‘proves’ the area rule very nicely. Printable worksheets and answers included. Please review it if you buy as any feedback is appreciated!

A complete lesson on how to use a protractor properly. Includes lots of large, clear, animated examples that make this fiddly topic a lot easier to teach. Designed to come after pupils have been introduced to acute, obtuse and reflex angles and they can already estimate angles. Activities included: Starter: A nice set of problems where pupils have to judge whether given angles on a grid are acute, 90 degrees or obtuse. The angles are all very close or equal to 90 degrees, so pupils have to come up with a way (using the gridlines) to decide. Main: An extended set of examples, intended to be used as mini whiteboard questions, where an angle is shown and then a large protractor is animated, leaving pupils to read off the scale and write down the angle. The range of examples includes measuring all angle types using either the outer or inner scale. It also includes examples of subtle ‘problem’ questions like the answer being between two dashes on the protractor’s scale or the lines of the angle being too short to accurately read off the protractor’s scale. These are all animated to a high standard and should help pupils avoid developing any misconceptions about how to use a protractor. Three short worksheets of questions for pupils to consolidate. The first is simple angle measuring, with accurate answers provided. The second and third offer more practice but also offer a deeper purpose - see the cover image. Instructions for a game for pupils to play in pairs, basically drawing random lines to make an angle, both estimating the angle, then measuring to see who was closer. Plenary: A spot the mistake animated question to address misconceptions. As always, printable worksheets and answers included. Please do review if you buy, the feedback is appreciated!

A complete lesson of more interesting problems involving perimeter. I guess they’re the kind of problems you might see in the Junior Maths Challenge. Includes opportunities for pupils to be creative and make their own questions. Activities included: Starter: A perimeter puzzle to get pupils thinking, where they make changes to shapes without effecting the perimeter. Main: A set of four perimeter problems (on one page) for pupils to work on in pairs, plus some related extension tasks that will keep the most able busy. A matching activity, where pupils match shapes with different shapes but the same perimeter, using logic. I would extend this task further by getting them to put each matching set in size order according to their areas, to address the misconception of confusing area and perimeter. Pupils are then prompted to design their own shapes where the perimeters are the same. Plenary: You could showcase some pupil designs but much better, use all of their answers to create a new matching puzzle. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson on solving two step equations of the form ax+b=c, ax-b=c, a(x+b)=c and a(x-b)=c using the balancing method. Designed to come after pupils have solved using a flowchart/inverse operations. Activities included: Starter: A few substitution questions to check pupils can correctly evaluate two-step expressions, followed by a prompt to consider some related equations. Main: A slide to remind pupils of the order of operations for the four variations listed above. Four example-problem pairs of solving equations, to model the methods and allow pupils to try. A set of questions for pupils to consolidate, and a suggestion for an extension task. The questions repeatedly use the same numbers and operations, to reinforce the fact that order matters and that pupils must pay close attention. A more interesting, challenging extension task in the style of the Open Middle website. Plenary: A set of four ‘spot the misconception’ questions, to prompt a final discussion/check for understanding. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson on the scenario of using the sine rule to find an obtuse angle in a triangle. Given the connection this has with triangle congruence and the graph of sine, these ideas are also explored in the lesson. Designed to come after pupils have spent time doing basic sine rule questions and have also encountered the graph of sine beyond 90 degrees. Activities included: Starter: A goal-free question to get pupils thinking, that should help recap the sine rule and set the scene for the rest of the lesson. Main: A prompt for pupils to construct a triangle given SSA, then a closer look at both possible answers. Depending on the class, this could be a good chance to talk about SSA being an insufficient condition for congruence. A related question on finding an unknown angle using the sine rule. Pupils know there are two answers (having seen the construction), but can they work out both answers? This leads into a closer look at the symmetry property of the sine graph, and some quick questions on this theme for pupils to try. Then back to the previous question, to find the second answer. This is followed by four similar questions for pupils to practice (finding an obtuse angle using the sine rule) Two extension questions. Plenary: A slide to summarise the lesson as simply as possible. Answers and printable worksheets included. Please review if you buy as any feedback is appreciated!

A complete lesson on areas of composite shapes involving circles and/or sectors. Activities included: Starter: A matching activity using logic more than area rules. Main: Two sets of challenging questions. Opportunity for pupils to be creative/artistic and design their own puzzles. Plenary: Discussion of solutions, or pupils could attempt each other’s puzzles. Printable worksheets and answers included. Please review it if you buy as any feedback is appreciated!

A set of challenging activities using Pythagoras’ theorem. Activities included: Starter: Given two isosceles triangles, pupils work out which one has the larger area. Main: Examples/practice questions, followed by two sets of questions on the theme of comparing area and perimeter of triangles. Both sets start with relatively straight forward use of Pythagoras’ theorem, but end with an area=perimeter question, where pupils ideally use algebra to arrive at an exact, surd answer. Plenary: Not really a plenary, but a very beautiful puzzle (my take on the spiral of Theodorus) with an elegant answer.

A complete lesson on bearings problems with an element of trigonometry or Pythagoras’ theorem. Activities included: Starter: Two sets of questions, one to remind pupils of basic bearings, the other a matching activity to remind pupils of basic trigonometry and Pythagoras’ thoerem. Main: Three worked examples to show the kind of things required. A set of eight problems for pupils to work through. Plenary: A prompt for pupils to reflect on the skills used during the lesson. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson for first teaching how to simplify a fraction. Activities included: Starter: Some quick questions to test if pupils can find the highest common factor of two numbers. Main: A short activity where pupils sort a selection of fractions into two groups, based on whether they are simplified or not. Example question pairs to quickly assess if pupils understand how to simplify. A set of straightforward questions with a progression in difficulty. A challenging extension where pupils must arrange four digits to create fractions that simplify to given fractions. Plenary: Some questions in context to reinforce the key skill and also give some purpose to the process of simplifying fractions. Optional worksheets and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson on solving one step equations using the balancing method. Designed to come after pupils have solved using a flowchart/inverse operations, and as such the introductory slides put the two methods side by side, so pupils can relate them. I’ve also uploaded a lesson on balancing (but not solving) equations that would be a good precursor to this lesson. Activities included: Starter: A set of questions to check that pupils can solve one step equations using a flowchart/inverse operations. Main: Two slides showing equations represented on scales, to help pupils visualise the equations as a balancing problem. Four examples of solving equations, firstly using a flowchart/inverse operations and then by balancing. Then a set of similar questions for pupils to try, before giving any feedback. A second set of questions basically with harder numbers. Not exactly thrilling but necessary practice. A more interesting, challenging extension task in the style of the Open Middle website. Plenary: A prompt of an equation that is best solved using the balancing method, rather than inverse operations (hence offering some incentive for the former method). Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson for first introducing the ratios sin, cos and tan. Ideal as a a precursor to teaching pupils SOHCAHTOA. Activities included: Starter: Some basic similarity questions (I would always teach similarity before trig ratios). Main: Examples and questions on using similarity to find missing sides, given a trig ratio (see cover image for an example of what I mean, and to understand the intention of doing this first). Examples, quick questions and worksheets on identifying hypotenuse/opposite/adjacent and then sin/cos/tan for right-angled triangles. A challenging always, sometimes, never activity involving trig ratios. Plenary: A discussion about the last task, and a chance for pupils to share ideas. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson on using calculators to directly make percentage changes, e.g. increasing by 5% by multiplying by 1.05 Activities included: Starter: A recap on making a percentage change in stages, e.g. increasing something by 5% by working out 5% and adding it to the original amount. Main: Examples and quick questions for pupils to try, along with some diagnostic questions to hopefully anticipate a few misconceptions. A worksheet of questions with a progression in difficulty. An extension task/investigation designed to challenge the misconception that you can reverse a percentage increase by decreasing by the same percentage. Plenary: A question in context - working out a restaurant bill including a tip. Printable worksheets and answers included. Please review if you buy, as any feedback is appreciated!

A set of questions in real-life scenarios, where pupils use SOHCAHTOA to find angles an distances. Activities included: Starter: Some basic SOHCAHTOA questions to test whether pupils can use the rules. Main: A set of eight questions in context. Includes a mix of angle of elevation and angle of depression questions, in a range of contexts. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

A complete lesson for introducing the area rule of a parallelogram. Activities included: Starter: A couple of area mazes to remind them of the rule for rectangles. Main: A prompt for pupils to discuss or think about what a parallelogram is, followed by 2 questions, where pupils are shown a set of shapes and have to identify which ones are parallelograms. Animated examples showing the classic dissection and rearrangement of a parallelogram into a rectangle, leading naturally to a derivation of the area rule. Animated examples of using a ruler and set square to measure the base and perpendicular height, before calculating area. A worksheet where pupils must do the same. This is worth doing now, to make pupils think carefully about perpendicular height, rather than just multiplying given dimensions together. Examples and a worksheet where pupils must select the relevant information from not-to-scale diagrams. Extension task of pupils using knowledge of factors to solve an area puzzle. Plenary: Spot the mistake discussion question. Nice animation to show why the rule works. Link to an online geogebra file (no software required) with a lovely alternative dissection of a parallelogram Printable worksheets and answers included. Please review it if you buy as any feedback is appreciated!

A complete lesson on identifying the y-intercept of a linear function. Intended as a precursor to using gradient and y-intercept to plot a linear function, but after pupils have plotted graphs with a table of values (ie they have seen equations of lines already). A good way of getting pupils to consider gradient without formally being ‘taught’ it. Activities included: Starter: A puzzle about whether two boats (represented on a grid) will collide. Main: Examples and three worksheets on the theme of identifying y-intercept. The first could just be projected and discussed - pupils simply have to read the number off the y-axis. The second is trickier, with two points marked on a grid, and pupils extend this (by counting squares up and across) until they reach the y-axis. The third is a lot more challenging, with the coordinates of 2 points given on a line, but no grid this time (see cover image). Could be extended by giving coordinates of two points, but one either side of the y-axis (although I’m going to do a whole lesson on this as a context for similarity, when I have time!) Plenary: A look at how knowing the equation of a line makes finding the y-intercept very easy. Examples, printable worksheets and answers included. Please review it if you buy as any feedback is appreciated!

A complete lesson on using knowledge of gradient and y-intercept to find the equation of a line. Progresses from positive integer gradients to fractional and/or negative gradients. Examples, printable worksheets and answers included. Please review it if you buy as any feedback is appreciated!

A complete lesson on exterior angles of polygons. I cover exterior angles after interior angles, so I should point out that the starter does rely on pupils knowing how to do calculations involving interior angles. See my other resources for a lesson on interior angles. Activities included: Starter: Some recap questions involving interior angles and also exterior angles, but with the intention that pupils just use the rule for angles on a line, rather than a formal definition of exterior angles (yet). Main: A “what’s the same,what’s different” prompt followed by examples and non-examples of exterior angles, to get pupils thinking about a definition of them. A mini- investigation into exterior angles. Prompts to establish and then prove algebraically that exterior angles sum to 360 degrees for a triangle and a quadrilateral. The proofs could be skipped, if you felt this was too hard. A worksheet of more standard exterior angle questions with a progression in difficulty. Plenary: A slide animating a visual proof of the rule, followed by a hyperlink to a different visual proof. Printable worksheets and answers included. I’ve also included suggested questions and extensions in the notes boxes at the bottom of each slide. Please review if you buy as any feedback is appreciated!