A collection of TEN FULL LESSONS, which could definitely be extended to at least 12-13 lessons for the right classes, on expanding single, double and multiple brackets and factorising a single brackets and quadratic expressions. Contents of download: Normal PowerPoint lessons with which you can use a clicker / mouse / keyboard to continue animations and show fully animated and worked solutions. At least two printable worksheets for students with examples for each lesson. These are designed to speed up the lesson (no copying down questions etc). The worksheet could also be used independent of the PowerPoint lesson! We are learning about: Lesson 3.1f - Expanding a single bracket (Lower ability) Lesson 3.1h - Expanding a single bracket (Higher ability) Lesson 3.2f - Expanding double brackets (No grid/foil method used) Lesson 3.3h - Expanding multiple brackets (Triple brackets focused) Lesson 4.1f - Factorising single brackets (Lower ability) Lesson 4.1h - Factorising single brackets (Higher ability) Lesson 4.2.1h - Factorising quadratic expressions - part 1 ++ and – only) Lesson 4.2.2h - Factorising quadratic expressions - part 2 ± and -+ only) Lesson 4.2.3h - Factorising harder quadratics a≠1 Lesson 4.2.4h - Factorising quadratic expressions Shorter version of 4.2.1/2/3 combined Main: Lessons consist of examples with notes and instructions, following on to increasingly difficult exercises with problem solving tasks. Lessons can start at any section of the PPT examples judged against the ability of the students in your class. All solutions given on PPT. Please do leave feedback!!

TWO FULL LESSONS on finding the volume of prisms. Contents of download: Higher ability full lesson (5.2.1h) on volume of prisms (could be taught over one or two lessons depending on previous knowledge). Lower ability full lesson (5.2.1f) on volume of prisms (to be taught over one or two lessons depending on previous knowledge). Ex4 and Ex5 are a suggested starting point for lesson two. Examples (to go with PowerPoint) Worksheets with solutions (printed and displayed on PowerPoint). We are learning about: The volume of a prism We are learning to: Calculate the volume of a prism. Differentiated objectives: Developing learners will be able to calculate the volume of a prism. Secure learners will be able to find the missing length of a prism given its volume and cross-section. Excelling learners will be able to solve unfamiliar problems using their knowledge of calculating the volume of a prism. Main: Walkthrough examples followed by practice questions on worksheets. All solutions given on PPT and in worksheet format.

A FULL LESSON on interpreting and drawing distance-time graphs. We are learning about: Distance-time graphs We are learning to: Interpret and draw distance-time graphs in context. Differentiated objectives: Developing learners will be able to interpret information from distance-time graphs. Secure learners will be able to identify the scale used on distance-time graphs. Excelling learners will be able to plot information onto a distance-time graph. Starter: Clear demonstration of how the first example’s distance-time graph is constructed (Inspired by GeoGebra Traffic) Main: Walkthrough examples followed by practice questions on worksheets. All solutions given on PPT.

A collection of TWELVE FULL LESSONS on symmetry, reflections, translations, rotations and enlargements. Contents of download: Normal PowerPoint lessons with which you can use a clicker / mouse / keyboard to continue animations and show fully animated and worked solutions. At least two printable worksheets for students with examples for each lesson. These are designed to speed up the lesson (no copying down questions etc). The worksheet could also be used independent of the PowerPoint lesson with a visualiser! We are learning about: Lesson 8.1.1f - Symmetry (Including rotational symmetry) Less on 8.1.2f - Reflecting in a mirror line (Mirror lines and axes) Lesson 8.1.2h - Reflecting in a straight line (Axes, y=(-)x, x=… and y=…) Lesson 8.2f - Rotations (Recognising and performing) Lesson 8.2h - Rotations (Describing and performing) Lesson 8.3f - Translations (Describing and performing) Lesson 8.3h - Translations (Describing and performing - with extension) Lesson 8.4.1f - Describing enlargements Lesson 8.4.2f - Positive enlargements (Two versions - Vectors - Directions) Lesson 8.4.3f - Negative enlargements (Two versions - Vectors - Directions) Lesson 8.4.4f - Combined enlargements (Two versions - Vectors - Directions) Lesson 8.4.4h - Combined enlargements (Two versions - Vectors - Directions) Main: Lessons consist of examples with notes and instructions, following on to increasingly difficult exercises with problem solving tasks. Lessons can start at any section of the PPT examples judged against the ability of the students in your class. All solutions given on PPT. Please do leave feedback!!

TWO FULL LESSONS on finding the surfacea area of prisms. Contents of download: Higher ability full lesson (5.2.2h) on surface area of prisms (could be taught over one or two lessons depending on previous knowledge). Lower ability full lesson (5.2.2f) on surface area of prisms (to be taught over one or two lessons depending on previous knowledge). Ex5 and Ex6 are a suggested starting point for lesson two. Examples (to go with PowerPoint) Worksheets with solutions (printed and displayed on PowerPoint). We are learning about: The surface area of a prism We are learning to: Calculate the surface area of a prism. Differentiated objectives: Developing learners will be able to draw the net of a prism. Secure learners will be able to calculate the surface area of a given prism. Excelling learners will be able to solve unfamiliar problems using their knowledge of calculating the volume of a prism. Main: Walkthrough examples followed by practice questions on worksheets. All solutions given on PPT and in worksheet format.

A collection of EIGHT FULL LESSONS, which could definitely be extended to at least 10-11 lessons for the right classes, on solving quadratic equations by factorising, the quadratic formula or completing the square. Contents of download: Normal PowerPoint lessons with which you can use a clicker / mouse / keyboard to continue animations and show fully animated and worked solutions. At least one printable worksheets for students with examples for each lesson. These are designed to speed up the lesson (no copying down questions etc). The worksheet could also be used independent of the PowerPoint lesson! We are learning about: Lesson 4.1.1h - Factorising quadratic equations (a = 1) Lesson 4.1.2h - Factorising harder quadratic equations (a ≠ 1) Lesson 4.2.1h - The quadratic formula - part 1 Lesson 4.2.2h - The quadratic formula - part 2 Lesson 4.3.1h - Completing the square - part 1 (a = 1) Lesson 4.3.2h - Completing the square - part 2 (a ≠ 1) Lesson 4.4.1h - Forming and solving quadratic equations (geometric problems) Lesson 4.4.2h - Forming and solving quadratic equations (worded problems) Main: Lessons consist of examples with notes and instructions, following on to increasingly difficult exercises with problem solving tasks. Lessons can start at any section of the PPT examples judged against the ability of the students in your class. All solutions given on PPT. Please do leave feedback!!

A collection of FOUR FULL LESSONS, which could definitely be extended to at least 6 lessons for the right classes, on simplifying, adding and subtracting and solving equations involving algebraic fractions. Contents of download: Normal PowerPoint lessons with which you can use a clicker / mouse / keyboard to continue animations and show fully animated and worked solutions. Worksheets printable for students with examples for each lesson. These are designed to speed up the lesson (no copying down questions etc). The worksheet could also be used independent of the PowerPoint lesson! We are learning about: Lesson 1 - Simplifying algebraic fractions Lesson 2 - Adding and subtracting algebraic fractions Lesson 3 - Simplifying algebraic fractions with quadratics Lesson 4 - Solving equations with algebraic fractions. Main: Lessons consist of examples with reducing instructions, following on to increasingly difficult exercises. Lessons can start at any section of the PPT examples judged against the ability of the students in your class. All solutions given on PPT. Please do leave feedback!!

A FULL LESSON on constructing triangles using a compass, protractor and ruler. Full clear visuals animations for each construction. Paperless lesson Touchscreen lesson: TRIGGERED Clicker lesson: CLICKER Assumed prior knowledge: Use of a compass and straight edge Measuring an angle We are learning about: Constructing triangles We are learning to: Use a compass, ruler and protractor to construct triangles. Differentiated objectives: Developing learners will be able to construct SSS triangles. Secure learners will be able to construct SAS and ASA triangles. Excelling learners will be able to construct other polygons given angles and sides. Starter: Gets straight ‘stuck in’ with an equilateral triangle. Main: Worked through examples of SSS, SAS and ASA triangles with visual prompts and steps, followed by 8 practice questions displayed on board after each type of triangle. Plenary/Extension: Constructing triangles with a scale, worded constructions, sectors and other polygons. Please do leave feedback if downloaded! THANK YOU!

TWO FULL LESSONS on finding the surface area of a cylinder. Contents of download: Higher ability full lesson (5.3.2h) on surface area of cylinders. Lower ability full lesson (5.3.2f) on surface area of cylinders. Examples (to go with PowerPoint) Worksheets(printed and displayed on PowerPoint). We are learning about: The surface area of a cylinder We are learning to: Calculate the surface area of a cylinder. Differentiated objectives: Developing learners will be calculate the surface area of a cylinder. Secure learners will be able to finding missing lengths of a cylinder given its surface area. Excelling learners will be able to solve unfamiliar problems using their knowledge of calculating the surface area of a cylinder. Main: Introductory demonstration of the net of a Cylinder. Walkthrough examples followed by practice questions on worksheets. All solutions given on PPT and in worksheet format. Credit to annah03 for the picture of the fish used in the fish tank context question.

One FULL LESSON on the bearings with trigonometry (SOHCAHTOA). Contents of download: Clicker version: Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show solutions. Worksheets (including examples). We are learning about: Bearings with trigonometry We are learning to: Use trigonometry in questions involving bearings. Differentiated objectives: Developing learners will be able to calculate the size of a bearing using trigonometry. Secure learners will be able to find missing lengths in bearings problems using trigonometry. Excelling learners will be able to solve unfamiliar problems by combining the use of bearings and trigonometry. Main: Walked through examples and practice questions on worksheets. Starts with calculating angles and then lengths with questions of increasing difficulty. All solutions given on PPT.

A FULL LESSON on the area of a circle. (UPDATED) Assumed prior knowledge: Rounding with significant figures and decimals. The circumference of a circle. Simplifying expressions. We are learning about: The area of a circle. We are learning to: Calculate the area of a circle. Differentiated objectives: Developing learners will be able to calculate the area of a circle given its radius or diameter. Secure learners will be able to evaluate the area of a circle in terms of π. Excelling learners will be able to solve unfamiliar problems using their knowledge calculating the area of a circle. Starter: Problem solving task to calculate the area of a pattern involving squares and quarter circles. Main: Animated examples (using the MORPH PowerPoint transition) of splitting the circle into sectors to form a rectangle and derive the formula for the area (Could be used as an activity - see extra below) . Two further examples; one, leaving answers as rounded values and the second leaving answers in terms of π. Standard questions progressing in difficulty, following on to some problem solving questions (inc. two in context). Plenary: Spot the mistake. Extra: Examples provided on printable worksheet. Similar to a bookmark shape, the students find it easy to stick this in on the (I use) left side of the page in their books. It saves time from writing down large amounts of text and drawing diagrams. More time to focus on learning!! Printable circles for if you wish to do a discovery activity with your students on deriving the formula. I don’t personally do this as my students have been quite happy to see it on the board. Any feedback is appreciated!

This PowerPoint consists of the diagrams, letters and numbers needed to develop a square and cube number display for your classroom. The square and cube numbers go up to 225 and 1000 respectively and can be found at the beginning of each section with the letters, which spell out “SQUARES” and “CUBES”. Credit to @c0mplexnumbers for the original display idea. Update: Credit to @mathequalslove for the x= idea format. I have added a pre-coloured version for those that don’t have coloured paper available.

A FULL LESSONs on function machines. Contents of download: Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show fully animated and worked solutions. Worksheets and examples printable for students. Worksheet can be used independent of the lesson! Worksheets go from simple finding inputs and outputs, to finding missing operations and constructing function machines for worded questions. We are learning about: Function machines We are learning to: Use function machines to find the values of inputs and outputs. Differentiated objectives: Developing learners will be able to find the output of a function machine, given its input. Secure learners will be able to find the input of a function machine, given its output. Excelling learners will be able to solve unfamiliar problems using their knowledge of function machines. Main: Walked through examples on single operation FMs followed by practice questions which can be displayed on the board. Walked through examples on two operation FMs, again followed by practice questions which can be displayed on the board. All solutions given on PPT.

A FULL LESSON on using trigonometry in 3D. Contents of download: One normal ‘clicker’ version displaying solutions as you progress through the PPT. One ‘triggered’ version which will only display solutions as you select them using the solutions button on each slide. Worksheet with solutions Examples in 4 different formats for your preference We are learning about: Trigonometry in 3D We are learning to: Use trigonometry to solve problems in three dimensions Differentiated objectives: Developing learners will be able to calculate the missing angles of a right angle triangle using trigonometry. Secure learners will be able to calculate the angle between 3D line segments and planes using trigonometry. Excelling learners will be able to solve unfamiliar 3D problems using their knowledge of trigonometry. Main: Walkthrough examples followed by practice questions on worksheets. All solutions given on PPT and in worksheet format.

A FULL LESSON on estimation. Assumed prior knowledge: BIDMAS Percentages of amounts Rounding with significant figures and decimals. We are learning about: Estimation by rounding. We are learning to: Use estimation to solve real world problems. Differentiated objectives: Developing learners will be able to round to a given number of decimal places or significant figures. Secure learners will be able to estimate outcomes using significant figures. Excelling learners will be able to apply their understanding of estimation to solve real world problems. Starter: Rounding spider (Inspired by alutwyche) Main: Numerical, following into contextualised, problems. (First problem inspired by DanWalker) Plenary: Fermi estimation style question.

One FULL LESSON on drawing and interpreting frequency polygons. Dependent on ability, this lesson could be split into two lessons. The second half of the lesson could present a good opportunity to teach students how to calculate the mean value in a calculator using the statistics mode. Contents of download: Clicker version: Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show solutions. Worksheets (including example and extension). We are learning about: Frequency Polygons We are learning to: Draw and interpret frequency polygons. Differentiated objectives: Developing learners will be able to complete a grouped frequency table for a set of data. Secure learners will be draw a frequency polygon from a grouped frequency table. Excelling learners will be able to solve unfamiliar problems involving frequency polygons. Main: Walkthrough examples followed by practice questions on worksheets. Starts with basic calculating the area moving on to finding a missing side and angle. All solutions given on PPT.

A FULL LESSON on constructing perpendicular and angle bisectors. Assumed prior knowledge: Use of a compass and straight edge Measuring an angle We are learning about: Constructing bisections We are learning to: Construct a perpendicular bisector and an angle bisector Differentiated objectives: Developing learners will be able to construct the perpendicular bisector of a straight line. Secure learners will be able to construct the perpendicular bisector of a straight line from a point. Excelling learners will be able to construct perpendicular bisectors and angle bisectors. Starter: MWB activity inspired by schoolyourself.org. Main: Worked through problem with visual prompts and steps followed by practice questions on worksheets. Answers to first three parts of each of the non-worded questions are given on the PPT.

UPDATED: A FULL LESSON on the circumference of a circle. Assumed prior knowledge: Rounding with significant figures and decimals. Simplifying expressions. We are learning about: The circumference of a circle. We are learning to: Calculate the circumference of a circle. Differentiated objectives: Developing learners will be able to calculate the circumference of a circle given its radius or diameter. Secure learners will be able to calculate the diameter or radius of a circle given its circumference. Excelling learners will be able to solve unfamiliar problems using their knowledge of calculating the circumference of a circle. Starter: Labelling a circle - starter activity Main: Worked through examples followed by exercises. Calculating the circumference and then again for calculating the diameter. Plenary: Spot the mistake. Extra: Examples provided on printable worksheet. Similar to a bookmark shape, the students find it easy to stick this in on the (I use) left side of the page in their books. It saves time from writing down large amounts of text and drawing diagrams. More time to focus on learning!! Worksheet with solutions on PPT. Any feedback is appreciated!

One FULL LESSON on finding the area of a triangle using 1/2absinC. Dependent on ability, this lesson could be split into two full lessons. Contents of download: Clicker version: Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show solutions. Worksheets (including example and extension). We are learning about: The area of a triangle We are learning to: Calculate the area of a scalene triangle. Differentiated objectives: Developing learners will be able to calculate the area of a scalene triangle. Secure learners will be able to find a missing length or angle in a scalene triangle given its area. Excelling learners will be able to solve unfamiliar problems using the formula for the area of a scalene triangle. Main: Walkthrough examples followed by practice questions on worksheets. Starts with basic calculating the area moving on to finding a missing side and angle. All solutions given on PPT.

A full scaffolded lesson on identifying factors, multiples and prime numbers, leading into prime factor decomposition and finding the highest common factor (HCF) and lowest common multiple (LCM) of given numbers. 1->100 grids and homework included. Credit to deselby for the plenary. Note: This resource could be broken down into different lessons. It was designed for a 3 hour college lecture. Please do leave feedback! Thank you.