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 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

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 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.

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 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.

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!

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 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.

At least TWO FULL LESSONs on circle theorems exam practice (assuming an average of 5 minutes per question and 2 x 1 hour lessons). 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. Exam booklet for students to work through (all solutions full animated for clarity and displayed on the PowerPoint). We are learning about: Circle theorems: exam practice 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.

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.

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.

A5 homework feedback form with both general and specific to maths marking conventions. Can be easily modified to any other subject. Students should be asked to reflect on their learning and the feedback they are given in the comments. - Example of how to use the next step questions (NSQ) - 1) Set five differentiated questions (using PowerPoint - on one slide) at the start of the lesson in which the students receive their feedback. 2) Set students one, two or three (of the five) questions to complete at the beginning of the lesson by writing the question numbers in the teacher comments section of the feedback form. 3) Ensure the questions are stretching and challenging for the high performers or that they are set at an appropriate level for those who did not do as well in the homework.

A FULL LESSONs on finding parts of a ratio given another. This lesson is designed to follow on from my previous lesson on dividing into parts. 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: Examples, worksheet 1, worksheet 2. We are learning about: Ratio - parts into parts We are learning to: Calculate parts of a ratio, given another. Differentiated objectives: Developing learners will be able to divide an amount into a given number of equal parts. Secure learners will be able to calculate different parts of a ratio, given another. Excelling learners will be able to solve unfamiliar problems involving calculating different parts of ratios. 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 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 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.

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.

A full lesson on sketching cubics, quartics and reciprocal functions. Incorporates the use of GeoGebra and the Casio fx-991EX Classwiz. Please do leave feedback! Thank you.

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 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.