51ºÚÁÏ

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!!

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 2Ï€? 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, 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!!

A FULL LESSON on calculating the area and perimeter of a sector. Assumed prior knowledge: Rounding with significant figures and decimals. Simplifying expressions. Fractions of amounts. Working with ratios (one question) Angles in quadrilateral (one question) We are learning about: The area and perimeter of a sector. We are learning to: Calculate the area and perimeter of a sector. Differentiated objectives: Developing learners will be able to calculate the area of a sector of a circle. Secure learners will be able to calculate the perimeter of a sector. Excelling learners will be able to solve unfamiliar problems using their knowledge calculating the area and perimeter of a sector. Starter: What fraction of the circle is shaded? Main: Examples to find the area and perimeter of a sector. Standard questions with diagrams progressing to worded and problem solving questions. Plenary: Spot the mistake. Extra: Booklet with all questions (including example) provided as worksheet to stick in books. Any feedback is appreciated!

A FULL LESSON on using transformations by enlargement. Contents of download: One higher ability full lesson on enlargement (could be taught over one or two lessons depending on previous knowledge). One lower ability full lesson on enlargement (could be taught over one or two lessons depending on previous knowledge). Examples (to go with PowerPoint) Worksheets with solutions (printed and displayed on PowerPoint). We are learning about: Transformations - Enlargement We are learning to: Perform and describe enlargements of shapes on a grid. Differentiated objectives: Developing learners will be able to identify the scale factor of an enlargement. Secure learners will be able to enlarge a shape by a rational scale factor. Excelling learners will be able to describe a given enlargement, including negative scale factors. Main: Walkthrough examples followed by practice questions on worksheets. 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.

TWO FULL LESSONS on converting recurring decimals to fractions. I recommend starting the second lesson at Ex3 and Ex4. 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 with solutions (printed and displayed on PowerPoint). We are learning about: Recurring decimals to fractions We are learning to: Express a recurring decimal as a fraction. Differentiated objectives: Developing learners will be able to convert recurring decimals less than one to fractions. Secure learners will be able to convert recurring decimals less than one to fractions. Excelling learners will be able to solve unfamiliar problems involving converting recurring decimals to fractions. Main: Walkthrough examples followed by practice questions on worksheets. All solutions given on PPT and in worksheet format.

A FULL LESSON on the area of a circle. (UPDATED) Assumed prior knowledge: Rounding with significant figures and decimals. The circumference of a circle. Simplifying expressions. We are learning about: The area of a circle. We are learning to: Calculate the area of a circle. Differentiated objectives: Developing learners will be able to calculate the area of a circle given its radius or diameter. Secure learners will be able to evaluate the area of a circle in terms of π. Excelling learners will be able to solve unfamiliar problems using their knowledge calculating the area of a circle. Starter: Problem solving task to calculate the area of a pattern involving squares and quarter circles. Main: Animated examples (using the MORPH PowerPoint transition) of splitting the circle into sectors to form a rectangle and derive the formula for the area (Could be used as an activity - see extra below) . 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). 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!! Printable circles for if you wish to do a discovery activity with your students on deriving the formula. I don’t personally do this as my students have been quite happy to see it on the board. Any feedback is appreciated!

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 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 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.

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.

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 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.

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.

TWO FULL LESSONS on finding the volume of prisms. Contents of download: Higher ability full lesson (5.2.1h) on volume of prisms (could be taught over one or two lessons depending on previous knowledge). Lower ability full lesson (5.2.1f) on volume of prisms (to be taught over one or two lessons depending on previous knowledge). Ex4 and Ex5 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 volume of a prism We are learning to: Calculate the volume of a prism. Differentiated objectives: Developing learners will be able to calculate the volume of a prism. Secure learners will be able to find the missing length of a prism given its volume and cross-section. 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.

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 interpreting and drawing distance-time graphs. We are learning about: Distance-time graphs We are learning to: Interpret and draw distance-time graphs in context. Differentiated objectives: Developing learners will be able to interpret information from distance-time graphs. Secure learners will be able to identify the scale used on distance-time graphs. Excelling learners will be able to plot information onto a distance-time graph. Starter: Clear demonstration of how the first example’s distance-time graph is constructed (Inspired by GeoGebra Traffic) Main: Walkthrough examples followed by practice questions on worksheets. All solutions given on PPT.

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 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.