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

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.

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.

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.

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 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.

A FULL LESSON on simplifying algebraic fractions involving quadratics. 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. Worksheet printable for students. Worksheet can be used independent of the lesson! 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 using common brackets. Secure learners will be able to simplify algebraic fractions by factorising quadratics. Excelling learners will be able to solve unfamiliar problems involving algebraic fractions. Main: Walked through examples on products of binomials followed by increasingly difficult practice questions which can be displayed on the board. Walked through examples on quadratics in numerator and denominator increasing in difficulty to a≠1. Again, followed by practice questions which can be displayed on the board. 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 FULL LESSON on negative enlargements. Part of the soon to be released Transformations COLLECTION (Bundle). 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. Secondary PowerPoint using vectors instead of directions in working. Worksheets printable for students. We are learning about: Negative enlargements We are learning to: We are learning to: Describe and perform negative enlargements. Differentiated objectives: Developing learners will be able to describe an enlargement using a negative scale factor. Secure learners will be able to perform an enlargement using a negative scale factor. Excelling learners will be able to solve unfamiliar problems involving enlarging by a negative scale factor. Main: Walked through examples on negative enlargements on a blank grid followed by increasingly difficult practice questions and activity. Walked through examples on negative enlargements on the Cartesian grid, followed by questions increasingly difficult questions including spot the mistake. All solutions given on PPT.

One FULL LESSON on the cosine rule. 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 Cosine Rule We are learning to: Use the cosine rule to solve problems in triangles. Differentiated objectives: Developing learners will be able to find the length of a missing side of a triangle using the cosine rule. Secure learners will be able to find a missing angle in a triangle using the cosine rule. Excelling learners will be able to solve unfamiliar problems using the cosine rule. Main: Derivation of the formula followed by walkthrough examples and practice questions on worksheets. Starts with basic calculating a missing side, moving to finding a missing angle. All solutions given on PPT.

A FULL LESSONs on solving linear equations using cross-multiplication. 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. Worksheet for specific exercise. Ready to print as A6 or one A4 to print how you desire. This can be printed to go with the lesson as Q3,Q4,Q5 or you can use as an individual activity without the powerpoint Q1,Q2,Q3. We are learning about: Linear equations - Cross-multiplication We are learning to: Use cross multiplication to solve harder linear equations Differentiated objectives: Developing learners will be able to solve linear equations using a balancing method. Secure learners will be able to use cross multiplication to solve harder linear equations. Excelling learners will be able to solve unfamiliar problems involving cross multiplication and linear equations. Main: Walked through examples (3) followed by practice questions which can be displayed on the board. Worksheet provided for longer time to be spent on the first ‘half’ of the lesson. Harder questions then given with binomials on denominators either side of the equals sign followed, again, by practice questions which can be displayed on the board. All solutions given on PPT.

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!!

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.

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.

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 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.

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 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.

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.