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Check out the FREE BUNDLE RESOURCES, containing collections of lessons on specific topics! You can also find FREE COMPLETE LESSONS which are ready to just PICK UP AND GO!
Sharing with ratios - bar modelling
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Sharing with ratios - bar modelling

(9)
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!
Constructing triangles
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Constructing triangles

(25)
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!
Volume of prisms
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Volume of prisms

(73)
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.
The circumference of a circle
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The circumference of a circle

(14)
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!
Solving equations with algebraic fractions
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Solving equations with algebraic fractions

(7)
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!!
Surface area of cylinders
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Surface area of cylinders

(30)
TWO FULL LESSONS on finding the surface area of a cylinder. Contents of download: Higher ability full lesson (5.3.2h) on surface area of cylinders. Lower ability full lesson (5.3.2f) on surface area of cylinders. Examples (to go with PowerPoint) Worksheets(printed and displayed on PowerPoint). We are learning about: The surface area of a cylinder We are learning to: Calculate the surface area of a cylinder. Differentiated objectives: Developing learners will be calculate the surface area of a cylinder. Secure learners will be able to finding missing lengths of a cylinder given its surface area. Excelling learners will be able to solve unfamiliar problems using their knowledge of calculating the surface area of a cylinder. Main: Introductory demonstration of the net of a Cylinder. Walkthrough examples followed by practice questions on worksheets. All solutions given on PPT and in worksheet format. Credit to annah03 for the picture of the fish used in the fish tank context question.
Recurring decimals to fractions
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Recurring decimals to fractions

(13)
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.
Volume of Cylinders
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Volume of Cylinders

(14)
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.
Circle Theorems - Part 4 (of 4)
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Circle Theorems - Part 4 (of 4)

(7)
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.
Frequency polygons (Drawing and interpreting)
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Frequency polygons (Drawing and interpreting)

(16)
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.
The area of a circle
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The area of a circle

(20)
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!
Squares and Cubes Display
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Squares and Cubes Display

(28)
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.
Expanding double brackets
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Expanding double brackets

(7)
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.
Simplifying algebraic fractions
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Simplifying algebraic fractions

(12)
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
Circle Theorems - Part 3 (of 4)
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Circle Theorems - Part 3 (of 4)

(6)
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.
Circle theorems - Exam practice
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Circle theorems - Exam practice

(13)
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.
Negative enlargements
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Negative enlargements

(5)
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 area and perimeter of a sector
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The area and perimeter of a sector

(8)
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!
The angle and radius of a sector
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The angle and radius of a sector

(7)
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!