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!

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 fully revamped, which could definitely be used over 2 lessons for the right classes, on adding and subtracting algebraic fractions. Contents of download: Normal PowerPoint lesson (7.2f) with which you can use a clicker / mouse / keyboard to continue animations and show fully animated and worked solutions. Three 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! OLD VERSION of the lesson 7.2a We are learning about: Adding and subtracting algebraic fractions. We are learning to: Add and subtract algebraic fractions. Differentiated objectives: Developing learners will be able to find an appropriate common denominator for adding fractions. Secure learners will be able to add and subtract algebraic fractions involving binomials. Excelling learners will be able to solve unfamiliar problems involving adding and subtracting fractions. Main: Walked through examples of increasingly difficult questions, which lead on to practice exercises of similar question types with slight extensions. Further examples and questions split the lesson into 3 distinct parts (or 2 whole lessons for the appropriate classes). All solutions given on PPT.

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 simple starter activity on labelling parts of a circle (with answers). Credit to mistrym03 for the idea which can be found in the following lesson Click here

A full differentiated and scaffolded lesson on the rules of fractions. The lesson includes finding equivalent fractions, simplifying fractions, mixed numbers and improper fractions, fractions of amounts, multiplying and dividing fractions and adding and subtracting fractions. Domino cards, worksheet and homework included. Note: This resource could be broken down into different lessons. It was designed for a 3 hour college lecture. Credit to DanWalker for the idea between a number of slides. I do not own the adding and subtracting fractions differentiated worksheet. Please do leave feedback! Thank you.

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.

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.

One FULL LESSON on finding the volume of spheres. This lesson follows on from volume of prisms. 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 volume of a sphere We are learning to: Calculate the volume of a sphere. Differentiated objectives: Developing learners will be able to calculate the volume of a sphere. Secure learners will be able to find a missing length in a sphere given its volume. Excelling learners will be able to solve unfamiliar problems using their knowledge of calculating the volume of a sphere. Main: Walkthrough examples followed by practice questions on worksheets. Starts with basic calculating the volume moving on to finding the radius or diameter of a sphere. All solutions given on PPT and in worksheet format.

The second of 4 FULL LESSONs on introducing and using circle theorems. The two theorems considered in this lesson are: Angles in the same segment are equal. Opposite angles in a cyclic quadrilateral add up to 180. 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 2 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 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.

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.

A (fast paced) FULL LESSON on sharing and comparing with ratios using with bar modelling and fractions. Assumed prior knowledge: Converting between metric measures. Fractions of amounts. We are learning about: Sharing with ratios. We are learning to: Use ratios to compare and share amounts. Differentiated objectives: Developing learners will be able to share an amount into a given ratio. Secure learners will be able to use a ratio to compare given amounts and totals. Excelling learners will be able to solve unfamiliar problems using their knowledge of using ratios to compare and share amounts. Starter: Express ratios as 1:n. Match up equivalent ratios (standard shade in the grid activity). Main: 2 examples: (Ex1) finding fractions and ratio in simplest form, (Ex2) Bar modelling to share ratio. Standard questions on sharing amounts with bar model provided. Two more examples: comparing amounts using the bar model. Worded questions increasing in difficulty (with solutions). Plenary: Combining a:b and b:c to a:b:c. Extra: Booklet with all questions provided as worksheet to stick in books. Any feedback is appreciated!

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 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 FULL LESSON on simplifying algebraic fractions. Assumed prior knowledge: Laws of indices (division) Factorising single brackets Factorising double brackets Cross-cancellation We are learning about: Simplifying algebraic fractions We are learning to: Simplify algebraic fractions using cancellation Differentiated objectives: Developing learners will be able simplify algebraic fractions involving linear terms. Secure learners will be able to simplify algebraic fractions involving quadratic terms. Excelling learners will be able to simplify algebraic fractions expressed in unfamiliar forms. Starter: MWB activity - multiplying and dividing fractions & division index law. Main: Examples followed by on-screen

A FULL LESSON on expanding double brackets. 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. Triggered PowerPoint lesson which does not display solutions unless you click on the ‘Solution’ button. Use this if you would prefer to teach a different method of expanding brackets (e.g. The grid). Worksheets printable for students. Worksheets can be used independent of the lesson! Multiplication grid for use in an otherwise paperless lesson. We are learning about: Expanding double brackets We are learning to: Expand double brackets and simplify the expression. Differentiated objectives: Developing learners will be able to expand single brackets. Secure learners will be able to expand double brackets and simplify the expression. Excelling learners will be able to solve unfamiliar problems involving expanding double brackets. Main: Starter activity on expanding and simplifying the sum of two brackets. Walked through examples on products of binomials followed by increasingly difficult practice questions and activity. Walked through examples on products of harder binomials, followed by questions, spot the mistake and problem solving area question. All solutions given on PPT.

The third of 4 FULL LESSONs on introducing and using circle theorems. The two theorems considered in this lesson are: A tangent is perpendicular to a radius. Tangents from a point 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 3 to finish. We are learning about: Circle theorems: Part 3 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 booklet consisting of various magic square puzzles with solutions. 9 different 3x3 6 different 4x4 6 different 5x5 2 different 6x6 Original puzzle resource credit to: ryansmailes

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.