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 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.

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.

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.

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 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 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.

A collection of TEN FULL LESSONS, which could definitely be extended to at least 12-13 lessons for the right classes, on expanding single, double and multiple brackets and factorising a single brackets and quadratic expressions. 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! We are learning about: Lesson 3.1f - Expanding a single bracket (Lower ability) Lesson 3.1h - Expanding a single bracket (Higher ability) Lesson 3.2f - Expanding double brackets (No grid/foil method used) Lesson 3.3h - Expanding multiple brackets (Triple brackets focused) Lesson 4.1f - Factorising single brackets (Lower ability) Lesson 4.1h - Factorising single brackets (Higher ability) Lesson 4.2.1h - Factorising quadratic expressions - part 1 ++ and – only) Lesson 4.2.2h - Factorising quadratic expressions - part 2 ± and -+ only) Lesson 4.2.3h - Factorising harder quadratics a≠1 Lesson 4.2.4h - Factorising quadratic expressions Shorter version of 4.2.1/2/3 combined 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 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

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.

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!!

One FULL LESSON on finding the volume of cylinders. 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 cylinder We are learning to: Calculate the volume of a cylinder. Differentiated objectives: Developing learners will be able to calculate the volume of a cylinder. Secure learners will be able to find a missing length in a cylinder given its volume. Excelling learners will be able to solve unfamiliar problems using their knowledge of calculating the volume of a cylinder. Main: Walkthrough examples followed by practice questions on worksheets. Starts with basic calculating the volume moving on to finding missing lengths of a cylinder. 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 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!

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.