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!
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 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!
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!
A simple starter activity on labelling parts of a circle (with answers).
Credit to mistrym03 for the idea which can be found in the following lesson Click here
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 on sketching cubics, quartics and reciprocal functions. Incorporates the use of GeoGebra and the Casio fx-991EX Classwiz.
Please do leave feedback! Thank you.
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.
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.
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.
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.