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# Sample Lesson Plans - Level 2 - Ratio, Proportion and … - ratio as a fraction in simplest form

Duration: 1.25 Hours | |
|Lesson aims: |
|Learners to understand and use ratio, proportion and scale. |
|Specific learning outcomes: |Assessment method(s): |
|Students will be able to: |Group activities |
|Recognise the difference between ratio and proportion. |Question & Answer during the session.. |
|Use and calculate ratio and proportion. |Learner engagement during session. |
|Solve problems involving scale. |Worksheet |
|Use appropriate checking procedures. | |
|Speaking, listening and communicating: |
|Students participate in discussions during the session, how they articulate answers and communicate with other learners. |
|Previous knowledge assumed: |
|Understand and use positive and negative numbers of any size in practical contexts. |
|Carry out calculations with numbers of any size in practical contexts. |
|Collect and represent discrete and continuous data. |
|Materials and equipment required: |
|Number cards. Rulers. |
|Worksheet |

|Time/ Stage |Subject Matter/Content |Teacher Activity |Student Activity |Resources/Notes |
|5 min |Small Group Activity: |Ask the class to divide into small groups – |Discussions and agreement. Identify ratio and |Proportion can be fractions, percentages or |
| |Form groups with a mixture of boys and girls. |maximum 5 or 6). Each group to have a mixture of |proportion. |decimals. |
| |Identify ratio and proportion. |boys and girls. | | |
| | |Each group then identifies the ratio of boys:girls| | |
| | |in the group and the proportion of girls (or boys)| | |
| | |in the groups. | | |
|10 min |Explanation and discussion. |Discuss the difference between ratio and |Ask questions |Clarify that ratio compares the sets within |
| | |proportion. Identify proportion as fractions, | |the group. Proportion compares each set to |
| | |percentages and decimals. | |the whole group size. |
| | | | |Reinforce the different forms of proportion |
| | | | |and the commonly know equivalences e.g. 1/8 =|
| | | | |12.5% |
|10 min |Small Group Activity: |Ask each group to measure, calculate the height |Measure the diagram height. |Depending on the group ability, you may wish |
| |Consider keeping them in the same groups as |using the scale and place the trees in order of |Use scale to calculate the real height. |to give each group a different set, or give |
| |developed above. |real height. |Place in order. |them all the same set. |
| |Which tree is the tallest? | |Discussion and agreement. |The card sets are best printed in different |
| | | | |colours. The real height order is printed on |
| | | | |the top of the card sheet. Don’t give out the|
| | | | |sheets! |
|5-10 min |Explanation and discussion |Focus attention so that the visual height of the |Ask Questions | |
| | |diagram does not reveal its true height. The scale| | |
| | |has to be applied. | | |
|25 min |Worksheet Task |Hand out worksheets and guide students to showing |Worksheet. | |
| | |their calculations. Introduce the need to do some | | |
| | |problem solving. | | |
|10 min |Worksheet Answers |Provide answers and give explanations where |Ask questions |This can provide the focus for a discussion |
| | |necessary. | |of using ratio, proportion and scale in real |
| | |Ask questions and discuss checking procedures. | |life. |
|5 min |Conclusion. Redefine ratio, proportion and |Guide learners to common sense checking. |Ask Questions. | |
| |scale. Ask for questions. | | | |

Real height order – lowest to highest: d,b,a,c

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|a) |b) |
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| |Scale 1: 230 |
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|Scale 1: 210 | |
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| |Scale 1:160 |
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|Scale 1: 190 | |

Real height order – lowest to highest: a,d,c,b
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| |Scale 1: 190 |
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|Scale 1: 150 | |
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| |Scale 1:120 |
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|Scale 1: 140 | |
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Real height order – lowest to highest: d,b,c,a
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| |Scale 1: 160 |
|Scale 1: 150 | |
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| |Scale 1:110 |
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|Scale 1: 130 | |
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A group of students are planning an outing to the local theme park. The theme park requires a ratio of at least 1 adult to 12 students for a group visit. If the students are mix of boys and girls, there must be at least 1 female adult for every 12 girls.
The group of students are:

|Girls |38 |
|Boys |25 |

Calculate the minimum number of male and female adults that need to accompany the student group.
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The River Thames has a wide variety of water-birds. An environmental group recorded the number of a range of water-birds at the Penton Hook area of the river.

|Type |Number |
|Swan |65 |
|Great crested Grebe |15 |
|Mallard duck |30 |
|Graylag goose |3 |
|Coot |12 |
|Grey Heron |1 |

What proportion of the water-bird population recorded are swans? Give your answer as a percentage?

What is the ratio of Mallard ducks to Coots? Give your answer in its simplest form.

The recommended maximum slope for an access ramp for wheelchairs is 1 in 12.
An example of a maximum slope for an access ramp is:

The new library has an entrance which is 80cms above ground level. Calculate the horizontal length of the access ramp that must be included as part of the entrance?
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A garden designer has prepared a diagram of a garden space to be included in a new property.

The designer wants to include the diagram as a scale drawing in a document for the owner. The document will be printed on A4 paper, which has a width of 21cms. To ensure good printing the A4 page must have 2cm with no printing on each side of the page.

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Calculate the maximum scale that the designer can use to include the diagram in the document. The scale must be rounded to a whole number.

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A team of 8 friends did a charity swim. The money they raised is:

|Person |Money raised (£’S) |
|A |120.00 |
|B |96.50 |
|C |85.00 |
|D |100.00 |
|E |76.75 |
|F |83.60 |
|G |95.00 |
|H |87.15 |

They have decided to donate the money to three charities P, Q, R in the ratio 1:2:3.
How much will each charity receive?
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Vertical 1 m

Horizontal 12 m

3 m

Flower bed

Flower bed

2 m

2 m

Lawn

6 m

21 cm

2 cm

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How to write a ratio in fraction form? The procedure to use the ratio to fraction calculator is as follows: Enter the ratio in the input field Now click the button “Solve” to get the conversion Finally, the conversion of ratio to fraction will be displayed in the output field