1. Print marking exercise
Line By Line
Choose the activity(ies) that best suit your students’ learning needs
Improve understanding of how marks are allocated by using the mark scheme to mark an incorrect solution . View on the IWB..Mark scheme can be printed as support.
Unravel facts and questions to focus on stepping stones in a solution. Can be printed or viewed on the IWB
Solve the mystery
Marking exercise
Focus on the links between the steps in a solution by ordering the steps . Can be printed or viewed on the IWB
Improve understanding of how marks are allocated by using the mark scheme to mark a n incorrect solution. For printing. Mark scheme can be printed as support.
Put the steps in order
Print marking exercise
Identify what is being calculated in each step . Can be printed or viewed on the IWB
Explain the steps
Focus on QWC
Practice putting together a concise, clear solution to an exam-style question. Can be printed or viewed on the IWB
Write the mark scheme
Emphasise the importance of each step in a solution by writing a mark scheme. Students can assess their answer against the given mark scheme. Print or view on the IWB
Reflection
Students can assess what they still need to learn and the grade they are working at.
Test yourself cards
Print so students can learn the key points. Take home or work in pairs.
Content covered

2. Line By Line – Content covered
Length, area and volume
Recall and use C = 2πr and A = πr² C
Calculate the volume and surface area of cuboids
Calculate the volume and surface area of cylinders
Reflection

3. Line By Line – Solve the mystery
The cards give clues to help you solve a mystery.
Some give information, others ask questions.
Solve the mystery!
What do you do with the two volume answers?
A tea-light holder is made out of wood.
What is the volume of the cube?
The diameter is twice the radius.
How long is the cylinder?
The sides of the cube are 6 cm.
What units are used for the volume?
A cylinder is hollowed out of a cube.
The volume of a cube is calculated by cubing the side length.
The formula for the volume of a cylinder is r²h.
The cylinder leaves a layer of wood 2 cm thick to support the tea-light.
Does your answer make sense?
The diameter of the cylinder is 4 cm.
What is the radius of the cylinder?
The base of a cylinder is a circle.
Work out the volume of the wood.
Explain how you solved the mystery.
Include the order in which you used the cards.
This is an exam question.
What do you think the question is?

4. Line By Line – Put the steps in order
A tea-light holder is made by hollowing out a cylinder from a cube of wood.
The sides of the cube are 6 cm, and the diameter of the cylinder is 4 cm.
The cylinder leaves a layer of wood 2 cm thick to support the tea-light.
Work out the volume of the wood.
6 – 2 = 4
3.14 x 2² = 12.56
216 – =
12.56 x 4 = 50.24
6 x 6 x 6 = 216 cm³
4 ÷ 2 = 2
r² = 3.14 x 2²
r²h = x 4
These are the steps in the solution.
Put them in order and explain what is happening in each step.
Can you insert them into the ‘running order’ for the mystery cards?

5. Explain the steps in the solution
Line By Line – Explain the steps
A tea-light holder is made by hollowing out a cylinder from a cube of wood.
The sides of the cube are 6 cm, and the diameter of the cylinder is 4 cm.
The cylinder leaves a layer of wood 2 cm thick to support the tea-light.
Work out the volume of the wood.
6 x 6 x 6 = 216 cm³
4 ÷ 2 = 2
r² = 3.14 x 2²
3.14 x 2² = 12.56
6 – 2 = 4
r²h = x 4
12.56 x 4 = 50.24
216 – =
Explain the steps in the solution

6. What mistakes do you think people will make when doing this question?
Line By Line – Write the mark scheme
A tea-light holder is made by hollowing out a cylinder from a cube of wood.
The sides of the cube are 6 cm, and the diameter of the cylinder is 4 cm.
The cylinder leaves a layer of wood 2 cm thick to support the tea-light.
Work out the volume of the wood.
Volume of the cube = 6 x 6 x 6
= 216 cm³
Radius of cylinder = 4 ÷ 2
= 2 cm
Area of the base = r²
= 3.14 x 2²
= cm²
Height of cylinder = 6 – 2
= 4 cm
Volume of cylinder = r²h
= x 4
= cm³
Volume of wood = 216 – 50.24
= cm³
There are 4 marks.
Write a mark-scheme.
What mistakes do you think people will make when doing this question?
Answers

7. B M M A Line By Line – The mark scheme Volume of the cube = 6 x 6 x 6
= 216 cm³
Radius of cylinder = 4 ÷ 2
= 2 cm
Area of the base = r²
= 3.14 x 2²
= cm²
Height of cylinder = 6 – 2
= 4 cm
Volume of cylinder = r²h
= x 4
= cm³
Volume of wood = 216 – 50.24
= cm³
A tea-light holder is made by hollowing out a cylinder from a cube of wood.
The sides of the cube are 6 cm, and the diameter of the cylinder is 4 cm.
The cylinder leaves a layer of wood 2 cm thick to support the tea-light.
Work out the volume of the wood. B M M A

8. Mark this answer 1 1 1 3/4 marks Line By Line – Marking exercise
A tea-light holder is made by hollowing out a cylinder from a cube of wood.
The sides of the cube are 6 cm, and the diameter of the cylinder is 4 cm.
The cylinder leaves a layer of wood 2 cm thick to support the tea-light.
Work out the volume of the wood.
Volume of the cube = 6 x 6 x 6
= 216 cm³
Radius of cylinder = 4 ÷ 2
= 2 cm
Area of the base = r²
= 3.14 x 2²
= cm²
Volume of cylinder = r²h
= x 6
= cm³
Volume of wood = 216 – 75.36
= cm³
Mark this answer 1 1 1
3/4 marks

9. Mark this answer /4 marks Line By Line – Print marking exercise
A tea-light holder is made by hollowing out a cylinder from a cube of wood.
The sides of the cube are 6 cm, and the diameter of the cylinder is 4 cm.
The cylinder leaves a layer of wood 2 cm thick to support the tea-light.
Work out the volume of the wood.
Volume of the cube = 6 x 6 x 6
= 216 cm³
Radius of cylinder = 4 ÷ 2
= 2 cm
Area of the base = r²
= 3.14 x 2²
= cm²
Volume of cylinder = r²h
= x 6
= cm³
Volume of wood = 216 – 75.36
= cm³
Mark this answer
/4 marks

10. Ask another pupil in the class to give you feedback on it.
Line By Line – Focus on QWC
A tea-light holder is made by hollowing out a cylinder from a cube of wood.
The sides of the cube are 6 cm, and the diameter of the cylinder is 4 cm.
The cylinder leaves a layer of wood 2 cm thick to support the tea-light.
Work out the volume of the wood.
Write out your solution to this question clearly and using correct mathematical statements.
Ask another pupil in the class to give you feedback on it.

11. Click below the button to reveal the grades
Warm up
Line By Line – Reflection
Click below the button to reveal the grades
I can   
Solve problems in a range of contexts
Recall and use C = 2πr and A = πr²
Calculate the volume and surface area of cuboids
Calculate the volume and surface area of cylinders
Identify relevant information in a problem E D C C C
Self assessment
Self assess
Find or write some evidence to support your assessment
Write down your next steps
You may wish to use the Test Yourself cards.

12. Line By Line – Test yourself cards
These cards have the things you may need to learn in order to do container questions.
Copy down the ones YOU need or ask your teacher for a printout.
radius
diameter
distance from the centre to the edge of a circle
distance across a circle (double the radius)
cuboid
How do you calculate the volume of a cuboid?
a 3D shape with rectangles for its faces (box shaped)
length x width x height
Which units measure volume?
How do you calculate the volume of a cylinder?
In the metric system, it is mm³, cm³, m³.
Area of a circle x height
Which units measure capacity?
Which imperial units measure volume and capacity?
The volume ones and litres and millilitres in the metric system.
Cubic inches, cubic feet, pints and gallons.