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!

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.

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

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!!

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 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.

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 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.

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.