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.

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 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 LESSONs on function machines. 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 and examples printable for students. Worksheet can be used independent of the lesson! Worksheets go from simple finding inputs and outputs, to finding missing operations and constructing function machines for worded questions. We are learning about: Function machines We are learning to: Use function machines to find the values of inputs and outputs. Differentiated objectives: Developing learners will be able to find the output of a function machine, given its input. Secure learners will be able to find the input of a function machine, given its output. Excelling learners will be able to solve unfamiliar problems using their knowledge of function machines. Main: Walked through examples on single operation FMs followed by practice questions which can be displayed on the board. Walked through examples on two operation FMs, again followed by practice questions which can be displayed on the board. All solutions given on PPT.

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.

A collection of TWELVE FULL LESSONS on symmetry, reflections, translations, rotations and enlargements. 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 with a visualiser! We are learning about: Lesson 8.1.1f - Symmetry (Including rotational symmetry) Less on 8.1.2f - Reflecting in a mirror line (Mirror lines and axes) Lesson 8.1.2h - Reflecting in a straight line (Axes, y=(-)x, x=… and y=…) Lesson 8.2f - Rotations (Recognising and performing) Lesson 8.2h - Rotations (Describing and performing) Lesson 8.3f - Translations (Describing and performing) Lesson 8.3h - Translations (Describing and performing - with extension) Lesson 8.4.1f - Describing enlargements Lesson 8.4.2f - Positive enlargements (Two versions - Vectors - Directions) Lesson 8.4.3f - Negative enlargements (Two versions - Vectors - Directions) Lesson 8.4.4f - Combined enlargements (Two versions - Vectors - Directions) Lesson 8.4.4h - Combined enlargements (Two versions - Vectors - Directions) 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!!

A collection of EIGHT FULL LESSONS, which could definitely be extended to at least 10-11 lessons for the right classes, on solving quadratic equations by factorising, the quadratic formula or completing the square. 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 one 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 4.1.1h - Factorising quadratic equations (a = 1) Lesson 4.1.2h - Factorising harder quadratic equations (a ≠ 1) Lesson 4.2.1h - The quadratic formula - part 1 Lesson 4.2.2h - The quadratic formula - part 2 Lesson 4.3.1h - Completing the square - part 1 (a = 1) Lesson 4.3.2h - Completing the square - part 2 (a ≠ 1) Lesson 4.4.1h - Forming and solving quadratic equations (geometric problems) Lesson 4.4.2h - Forming and solving quadratic equations (worded problems) 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!!

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.

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 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.

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.

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!

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 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.