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I'm a secondary school maths teacher with a passion for creating high quality resources. All of my complete lesson resources come as single powerpoint files, so everything you need is in one place. Slides have a clean, unfussy layout and I'm not big on plastering learning objectives or acronyms everywhere. My aim is to incorporate interesting, purposeful activities that really make pupils think. I have a website coming soon!

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I'm a secondary school maths teacher with a passion for creating high quality resources. All of my complete lesson resources come as single powerpoint files, so everything you need is in one place. Slides have a clean, unfussy layout and I'm not big on plastering learning objectives or acronyms everywhere. My aim is to incorporate interesting, purposeful activities that really make pupils think. I have a website coming soon!
Trigonometry - SOHCAHTOA finding sides
danwalker

Trigonometry - SOHCAHTOA finding sides

(0)
A complete lesson on using sin, cos and tan to find an unknown side of a right-angled triangle. Designed to come after pupils have been introduced to the trig ratios, and used them to find angles in right-angled triangles. Please see my other resources for complete lessons on these topics. Activities included: Starter: A quick reminder and some questions about using formulae triangles (e.g. the speed, distance, time triangle). This is to help pupils to transfer the same idea to the SOHCAHTOA formulae triangles. Main: A few examples and questions for pupils to try, on finding a side given one side and an angle. Initially, this is done without reference to SOHCAHTOA or formulae triangles, so that pupils need to think about whether to multiply or divide. More examples, but this time using formulae triangles. A worksheet with a progression in difficulty, building up to some challenging questions on finding perimeters of right-angled triangles, given one side and an angle. A tough extension, where pupils try to find lengths for the sides of a triangle with a given angle, so that it is has a perimeter of 20cm. Plenary: A prompt to get pupils thinking about how they are going to remember the rules and methods for this topic. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!
Connected ratios
danwalker

Connected ratios

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A complete lesson on connected ratios, with the 9-1 GCSE in mind. The lesson is focused on problems where, for example, the ratios a:b and b:c are given, and pupils have to find the ratio a:b:c in its simplest form. Assumes pupils have already learned how to generate equivalent ratios and share in a ratio- see my other resources for lessons on these topics. Activities included: Starter: A set of questions to recap equivalent ratios. Main: A brief look at ratios in baking, to give context to the topic. Examples and quick questions for pupils to try. Questions are in the style shown in the cover image. A set of questions for pupils to consolidate. A challenging extension task where pupils combine the techniques learned with sharing in a ratio to solve more complex word problems in context. Plenary: A final puzzle in a different context (area), that could be solved using connected ratios and should stimulate some discussion. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!
Fibonacci sequences
danwalker

Fibonacci sequences

(1)
A complete lesson with the 9-1 GCSE Maths specification in mind. Activities included: Starter: Some recap questions on solving two-step linear equations (needed later in the lesson). Main: An introduction to Fibonacci sequences, followed by a quick activity where pupils extend Fibonacci sequences. A challenging, rich task, inspired by one of TES user scottyknowles18’s excellent sequences rich tasks. Pupils try to come up with Fibonacci sequences that fit different criteria (eg that the 4th term is 10). Great for encouraging creativity and discussion. A related follow up activity where pupils try to find missing numbers in given Fibonacci sequences, initially by trial and error, but then following some explanation, by forming and solving linear equations. Extension - a slightly harder version of the follow up activity. Plenary: A look at an alternative algebraic method for finding missing numbers. Some slides could be printed as worksheets, although it’s not strictly necessary. Answers to most tasks included, but not the open-ended rich task. Please review if you buy as any feedback is appreciated!
Distance-time graphs
danwalker

Distance-time graphs

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The second of two complete lessons on distance-time graphs that assumes pupils can calculate speed. Examples and questions on interpreting distance-time graphs. Printable worksheets and answers included. Please review it if you buy as any feedback is appreciated!
Dividing fractions by fractions
danwalker

Dividing fractions by fractions

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A complete lesson for first teaching how to divide fractions by fractions. Activities included: Starter: A set of questions on multiplying fractions (I assume everyone would teach this before doing division). Main: Some highly visual examples of dividing by a fraction, using a form of bar modelling (more to help pupils feel comfortable with the idea of dividing a fraction by a fraction, than as a method for working them out). Examples and quick questions for pupils to try, using the standard method of flipping the fraction and multiplying. A set of straightforward questions. A challenging extension where pupils must test different combinations and try to find one that gives required answers. Plenary: An example and explanation (I wouldn’t call it a proof though) of why the standard method works. Optional worksheets (ie everything could be projected, but there are copies in case you want to print) and answers included. Please review if you buy as any feedback is appreciated!
Perimeter
danwalker

Perimeter

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A complete lesson on perimeter, with a strong problem solving element. Incorporate a set of on-trend-minimally-different questions and several opportunities for pupils to generate their own questions. Also incorporates area elements, to deliberately challenge the misconception of confusing the two properties of area and perimeter. Activities included: Starter: A few basic perimeter questions, to check pupils know what perimeter is. Main: Pupils come up with a variety of shapes with the same perimeter, then discuss answers with partners. Designed to get pupils thinking about which answers could be different, and which must be the same. A slight variation for the next activity - pupils are given diagrams of pentominoes (ie same area) and work out their perimeters. Raises some interesting questions about when perimeter varies, and when it doesn’t. A third activity based on diagrams a bit like the cover image. Using shapes made from different arrangements of identical rectangles, pupils work out the perimeters of increasingly elaborate shapes, some of which can’t be done. Questions have been designed so that only slight alterations have been made from one diagram to the next, but the resulting perimeter calculations are varied, interesting and sometimes surprising (IMO!). Has the potential to be extended by pupils creating their own shapes and trying to work out when it is possible to calculate the perimeter. Plenary: A closer look at the impossible questions, using a couple of different methods. Printable worksheets and answers included, where appropriate. Please review if you buy as any feedback is appreciated!
Bearings
danwalker

Bearings

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A complete lesson on introducing 3-figure bearings. Activities included: Starter: A quick set of questions to remind pupils of supplementary angles. Main: A quick puzzle to get pupils thinking about compass points. Slides to introduce compass points, the compass and 3-figure bearings. Examples and questions for pupils to try on finding bearings fro m diagrams. A set of worksheets with a progression in difficulty, from correctly measuring bearings and scale drawings to using angle rules to find bearings. Includes some challenging questions involving three points, that should promote discussion about different approaches to obtaining an answer. Plenary: A prompt to discuss how the bearings of A from B and B from A are connected. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!
Improper fractions and mixed numbers
danwalker

Improper fractions and mixed numbers

(1)
A complete lesson for first teaching what mixed numbers and improper fractions are, and how to switch between the two forms. Activities included: Starter: Some quick questions to test if pupils can find remainders when dividing. Main: Some examples and a worksheet on identifying mixed numbers and improper fractions from a pictorial representation. Examples and quick questions for pupils to try, on how to convert a mixed number into an improper fraction. A set of straight forward questions for pupils to work on, with an extension task for those who finish. Examples and quick questions for pupils to try, on how to simplify an improper fraction. A set of straight forward questions for pupils to work on, with a challenging extension task for those who finish. Plenary: A final question looking at the options when simplifying improper fractions with common factors. Worksheets and answers included. Please review if you buy as any feedback is appreciated!
Gradient of a line
danwalker

Gradient of a line

(1)
A complete lesson with examples and activities on calculating gradients of lines and drawing lines with a required gradient. Printable worksheets and answers included. Could also be used before teaching the gradient and intercept method for plotting a straight line given its equation. Please review it if you buy as any feedback is appreciated!
Equivalent and simplified ratios
danwalker

Equivalent and simplified ratios

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A complete lesson on generating equivalent ratios and simplifying a ratio. Activities included: Starter: A set of questions to remind pupils how to find equivalent fractions and simplify fractions. I always use fraction equivalence to introduce ratio, so reminding pupils of these methods now helps them see the connections between the two topics. Main: A matching activity where pupils pair up diagrams showing objects in the same ratio. Examples and quick questions on finding equivalent ratios (eg 2:5 = 8:?) A matching activity on the same theme. Examples and a set of questions on simplifying ratios. A challenging extension task, using equivalent fractions in a problem-solving scenario. Plenary: A final odd-one-out question to reinforce the key ideas of the lesson. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!
Solving two step equations using inverse operations
danwalker

Solving two step equations using inverse operations

(1)
A complete lesson on solving two step equations using inverse operations. Does include some decimals, as I wanted to give a more complete example set and make it hard for pupils to just use trial and error to find solutions. As such, I would let pupils use calculators. Activities included: Starter: A set of questions to check that pupils can evaluate two step expressions like 2x+3, given a value of x Main: A prompt to discuss the differences between two equations (a one step and a two step with the same solution), to get pupils thinking about how they could approach the latter. Examples and a set of questions on using inverse operations to reverse a two step flowchart and solve its corresponding equation. These have been deigned to further reinforce the importance of BIDMAS when interpreting an algebraic expression, so the emphasis is on quality not quantity of questions. A more challenging task of pupils trying to make an equation with a certain solution. Designed to be extendable to pupils looking for generalistions. Plenary: A prompt to discuss a few less obvious one-step equations (eg x+8+3=20) Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!
Trigonometry - SOHCAHTOA revision lesson
danwalker

Trigonometry - SOHCAHTOA revision lesson

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A complete revision lesson for pupils to practice SOHCAHTOA, both finding sides and angles. Activities included: Starter: A set of questions to test whether pupils can find sides and angles, and give a chance to clear up any misconceptions. Main: A treasure hunt of SOHCAHTOA questions. Straight forward questions, but should still generate enthusiasm. Could also be used as a a more scaffolded task, with pupils sorting the questions into sin, cos or tan questions before starting. Activity has been condensed to two pages, so less printing than your average treasure hunt! Bonus: Another set of straight-forward questions, that could be given for homework or at a later date to provide extra practice. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!
Area of a triangle
danwalker

Area of a triangle

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A complete lesson for introducing the area rule for a triangle. Activities included: Starter: Questions to check pupils can find areas of parallelograms (I always teach this first, as it leads to an explanation of the rule for a triangle). Main: A prompt to get pupils thinking (see cover image) Examples and a worksheet where pupils must identify the height and measure to estimate area. Examples and a worksheet where pupils must select the relevant information from not-to-scale diagrams. Simple extension task of pupils drawing as many different triangles with an area of 12 as they can. Plenary: A sneaky puzzle with a simple answer that reinforces the basic area rule. Printable worksheets and answers included. Please review it if you buy as any feedback is appreciated!
Circle theorems lesson 1
danwalker

Circle theorems lesson 1

(1)
A complete lesson on the theorem that the angle at the centre is twice the angle at the circumference. For me, this is definitely the first theorem to teach as it can be derived using ideas pupils have already covered. and then used to derive some of the other theorems. I will shortly be uploading lessons for the other theorems. Activities included: Starter: A few basic questions to check pupils can find missing angles in triangles. Main: A short discovery activity where pupils split the classic diagram for this theorem into isosceles triangles (see cover image). If you think this could overload pupils, it could be skipped, although I think if they can’t cope with this activity, they’re not ready for circle theorems! A link to the mathspad free tool for this topic. I hope mathspad don’t mind me putting this link - I will remove it if they do. A large set of mini-whiteboard questions for pupils to try. These have been designed with a variation element as well as non-examples, to really make sure pupils think about the features of the diagrams. A worksheet for pupils to consolidate independently, with two possible extension tasks: (1) pupils creating their own examples and non-examples, (2) pupils attempting a proof of the theorem. Plenary: A final set of six diagrams, where pupils have to decide if the theorem applies. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!
Measuring angles with a protractor
danwalker

Measuring angles with a protractor

(1)
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!
Pythagoras' theorem
danwalker

Pythagoras' theorem

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A complete lesson for first introducing Pythagoras’ theorem. Activities included: Starter: A set of equations to solve, similar to what pupils will need to solve when doing Pythagoras questions. Includes a few sneaky ones that should cause some discussion. Main: Examples and quick question to make sure pupils can identify the hypotenuse of a right-angled triangle. Optional ‘discovery’ activity of pupils measuring sides of triangles and making calculations to demonstrate Pythagoras’ theorem. Questions to get pupils thinking about when Pythagoras’ theorem applies and when it doesn’t. Examples and quick questions for pupils to try on the standard, basic questions of finding either the hypotenuse or a shorter side. A worksheet with a mild progression in difficulty, from integer sides and answers to decimals. An extension task of a ‘pile up’ activity (based on an idea by William Emeny, but I did make this one myself). Plenary: Some multiple choice questions to consolidate the basic method, but also give a taster of other geometry problems Pythagoras’ theorem can be used for (e.g. finding the length of the diagonal of a rectangle). Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!
Angles in a triangle
danwalker

Angles in a triangle

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A complete lesson on the interior angle sum of a triangle. Activities included: Starter: Some simple recap questions on angles on a line, as this rule will used to ‘show’ why the interior angle sum for a triangle is 180. Main: A nice animation showing a smiley moving around the perimeter of a triangle, turning through the interior angles until it gets back to where it started. It completes a half turn and so demonstrates the rule. This is followed up by instructions for the more common method of pupils drawing a triangle, marking the corners, cutting them out and arranging them to form a straight line. This is also animated nicely. A few basic questions for pupils to try, a quick reminder of the meaning of scalene, isosceles and equilateral (I would do a lesson on triangle types before doing interior angle sum), then pupils do more basic calculations (two angles are directly given), but also have to identify what type of triangles they get. An extended set of examples and non-examples with trickier isosceles triangle questions, followed by two sets of questions. The first are standard questions with one angle and side facts given, the second where pupils discuss whether triangles are possible, based on the information given. A possible extension task is also described, that has a lot of scope for further exploration. Plenary A link to an online geogebra file (no software needed, just click on the hyperlink). This shows a triangle whose points can be moved dynamically, whilst showing the exact size of each angle and a nice graphic of the angles forming a straight line. I’ve listed some probing questions that could be used at this point, depending on the class. I’ve included key questions and ideas in the notes box. Optional, printable worksheets and answers included. Please do review if you buy as any feedback is helpful and appreciated!
Drawing in 2D and 3D
danwalker

Drawing in 2D and 3D

(128)
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.