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!
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!
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.
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.
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.
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.
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.
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.
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.
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 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 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 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 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 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!
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 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 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
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!
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 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!