A FULL LESSON on the area and circumference of a circle. Assumed prior knowledge: Rounding with significant figures and decimals. Simplifying expressions. We are learning about: The area and circumference of a circle. We are learning to: Calculate the area and 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 area and circumference of a circle given its radius or diameter. Excelling learners will be able to solve unfamiliar problems using their knowledge calculating the area and circumference of a circle. Starter: Labelling a circle - starter activity Main: Examples finding the ratio of approximated circumference to diameter for each circle and comparing solutions to 2dp. 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). Two further examples on area; 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!! Booklet with all questions provided as worksheet to stick in books. Any feedback is appreciated!

A FULL LESSONs on introducing and using dividing into ratio. I have previously uploaded a fast paced sharing with ratio lesson here, but this is a much more basic introduction, leading up to some exam questions. 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 for examples and exercises (Separated or together depending on how you would like to print for your students). I personally print: Starter 2x2, examples, worksheet 1, worksheet 2. We are learning about: Dividing into parts We are learning to: Divide an amount into a given ratio. Differentiated objectives: Developing learners will be able to divide an amount into a given number of equal parts. Secure learners will be able to divide an amount into a given ratio with unequal parts. Excelling learners will be able to solve unfamiliar problems involving dividing an amount into a ratio. Main: Walked through examples with bar modelling, followed by practice questions on worksheets. Increasingly difficult questions leading up to exam-style questions at the end. All solutions given on PPT. Credit to MrBartonMaths and his intelligent practice exercise for inspiration behind Q5.

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!!

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 FULL LESSON on calculating the angle and radius of a sector, given its area or arc length. Assumed prior knowledge: Rounding with significant figures and decimals. Simplifying expressions. Fractions of amounts. Solving equations using the balancing method. We are learning about: The angle and radius of a sector. We are learning to: Calculate the angle and radius of a sector, given its area, arc length or perimeter. Differentiated objectives: Developing learners will be able to calculate the angle of a sector, given its area, arc length or perimeter. Secure learners will be able to calculate the radius of a sector, given its area, arc length or perimeter. Excelling learners will be able to solve unfamiliar problems using their knowledge calculating the angle and radius of a sector. Starter: Spot the mistake activity: calculating the area of a sector. Main: Examples to find the angle of a sector given its area or arc length. Standard questions with diagrams progressing to worded questions. Two further examples to find the radius of a sector given its area or arc length. Standard questions with diagrams, following on to two problem solving questions. Plenary: Find two pairs of integer values for the radius and an acute angle which give an arc length of 2π? 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!! Booklet with all questions provided as worksheet to stick in books. 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 LESSON, which could definitely be used over 2 lessons for the right classes, on solving equations involving algebraic fractions. 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. Two worksheets printable for students with examples to speed up the lesson (no copying down questions etc). Worksheet can be used independent of the PowerPoint lesson! We are learning about: Solving equations with algebraic fractions We are learning to: Solve equations involving algebraic fractions Differentiated objectives: Developing learners will be able to solve equations involving algebraic fractions with numerical denominators. Secure learners will be able to solve equations involving algebraic fractions with algebraic denominators. Excelling learners will be able to solve unfamiliar problems involving solving equations with algebraic fractions. Main: Walked through examples with binomial numerators, which lead on to practice exercises of similar question types. Further walked through examples with binomial denominators. This splits the lesson into two distinct parts (or 2 whole lessons for the appropriate classes). All solutions given on PPT. Please do leave feedback!!

A FULL LESSON on calculating the area and perimeter of a sector. Assumed prior knowledge: Rounding with significant figures and decimals. Simplifying expressions. Fractions of amounts. Working with ratios (one question) Angles in quadrilateral (one question) We are learning about: The area and perimeter of a sector. We are learning to: Calculate the area and perimeter of a sector. Differentiated objectives: Developing learners will be able to calculate the area of a sector of a circle. Secure learners will be able to calculate the perimeter of a sector. Excelling learners will be able to solve unfamiliar problems using their knowledge calculating the area and perimeter of a sector. Starter: What fraction of the circle is shaded? Main: Examples to find the area and perimeter of a sector. Standard questions with diagrams progressing to worded and problem solving questions. Plenary: Spot the mistake. Extra: Booklet with all questions (including example) provided as worksheet to stick in books. Any feedback is appreciated!

A FULL LESSON on using transformations by enlargement. Contents of download: One higher ability full lesson on enlargement (could be taught over one or two lessons depending on previous knowledge). One lower ability full lesson on enlargement (could be taught over one or two lessons depending on previous knowledge). Examples (to go with PowerPoint) Worksheets with solutions (printed and displayed on PowerPoint). We are learning about: Transformations - Enlargement We are learning to: Perform and describe enlargements of shapes on a grid. Differentiated objectives: Developing learners will be able to identify the scale factor of an enlargement. Secure learners will be able to enlarge a shape by a rational scale factor. Excelling learners will be able to describe a given enlargement, including negative scale factors. 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.

The first of 4 FULL LESSONs on introducing and using circle theorems. The two theorems considered in this lesson are: *The angle in a semicircle is a right angle. *The angle at the centre is twice the angle at the circumference. 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 for proofs / examples and exercises (Separated or together depending on how you would like to print for your students). I personally print the ‘together’ worksheets to save on printing and then use Worksheet 3 to finish. We are learning about: Circle theorems: Part 1 We are learning to: Calculate the missing angles in a circle using circle theorems. Differentiated objectives: Developing learners will be able to apply circle theorems to find missing angles. Secure learners will be able to justify, with reason, the circle theorems they apply to find missing angles. Excelling learners will be able to solve unfamiliar problems using circle theorems. Main: Walked through examples followed by practice questions on worksheets. Starts with basic questions on the just-introduced theorem moving onto exam style questions using each of the theorems previously introduced. All solutions given on PPT and in worksheet format.

The fourth of 4 FULL LESSONs on introducing and using circle theorems. The two theorems considered in this lesson are: Angles in alternate segments are equal. 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 for examples and exercises (Separated or together depending on how you would like to print for your students). I personally print the ‘together’ worksheets to save on printing and then use Worksheet 2 to finish. We are learning about: Circle theorems: Part 4 We are learning to: Calculate the missing angles in a circle using circle theorems. Differentiated objectives: Developing learners will be able to apply circle theorems to find missing angles. Secure learners will be able to justify, with reason, the circle theorems they apply to find missing angles. Excelling learners will be able to solve unfamiliar problems using circle theorems. Main: Walked through examples followed by practice questions on worksheets. Starts with basic questions on the just-introduced theorem moving onto exam style questions using each of the theorems previously introduced. All solutions given on PPT and in worksheet format.

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.

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.

TWO FULL LESSONS on converting recurring decimals to fractions. I recommend starting the second lesson at Ex3 and Ex4. Contents of download: Clicker version: Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show solutions. Triggered version: Normal PowerPoint lesson with which you can use the solutions button to continue animations and show solutions (best on an interactive whiteboard). Worksheets with solutions (printed and displayed on PowerPoint). We are learning about: Recurring decimals to fractions We are learning to: Express a recurring decimal as a fraction. Differentiated objectives: Developing learners will be able to convert recurring decimals less than one to fractions. Secure learners will be able to convert recurring decimals less than one to fractions. Excelling learners will be able to solve unfamiliar problems involving converting recurring decimals to fractions. Main: Walkthrough examples followed by practice questions on worksheets. All solutions given on PPT and in worksheet format.

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!

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!!

One FULL LESSON on finding the volume of frustums. Contents of download: 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: The volume of a Frustum We are learning to: Calculate the volume of a frustum. Differentiated objectives: Developing learners will be able to find the volume of a frustum. Secure learners will be able to find the volume of a frustum with missing lengths using scale factors. Excelling learners will be able to solve unfamiliar problems using their knowledge of calculating the volume of a frustum. Main: Walkthrough examples followed by practice questions on worksheets. Starts with basic calculating the volume moving on to finding missing lengths. All solutions given on PPT and in worksheet format.

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.

One FULL LESSON on finding the volume of pyramids. Contents of download: Clicker version: Normal PowerPoint lesson with which you can use a clicker / mouse / keyboard to continue animations and show solutions. Triggered version: Normal PowerPoint lesson with which you can use the solutions button to continue animations and show solutions (best on an interactive whiteboard). Worksheets (including example and extension). We are learning about: The volume of a Pyramid We are learning to: Calculate the volume of a pyramid. Differentiated objectives: Developing learners will be able to calculate the volume of a pyramid. Secure learners will be able to find a missing length in a pyramid given its volume. Excelling learners will be able to solve unfamiliar problems using their knowledge of calculating the volume of a pyramid. Main: Walkthrough examples followed by practice questions on worksheets. Starts with basic calculating the volume moving on to finding missing lengths of a pyramid. All solutions given on PPT and in worksheet format.