7/27/2019 Lesson Plan Sharing to a Ratio

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Lesson Planning S

Title: Sharing to a ratio

Learning Objectives:

By the end of the lesson:

All students should be able to share to a ratio where the total shares are a factor of the amount. Most students should be able to share to a ratio by calculating the value of a single share. Some students should be able derive and simplify a ratio involving three terms and share to any amount.Key words: Ratio, Shares, Total Share,

Learning Activities

Starter/Introduction

The start of the lesson requires the students to interpret a simple monetary problem given in

words. Emphasise the terms share and equally to imply division. Ask the students how they

knew to work out the total monies based on these keywords. Students may need to use a

place value table in order to add the decimals. Alternatively, they may consider changing the

monies into pence rather than pounds. Ask the students what the benefits of doing this maybe,

Development

To introduce the concept of sharing to a ratio from the first question on the second slide the 30will need to be split equally between 5 shares. The main point then is to consider how much of

the 30 will represent each share. Since this represents the value of a single share and it is split

2 : 3 there will be a split of 12 : 18. Ask the students how this can be checked. Ideally they will

identify that the two amounts should have a sum of the original amount. Throughout this

process it is important to have a clear written method where the need for the individual

calculations (the total share and the value of an individual share) are clearly explained and

identified.

Using the clear written method on the board the students could be asked to attempt the

second problem on their whiteboards and feedback to the teacher for a formative assessment

to be made. Once the problems on the second slide have been attempted the class should

be able to work independently through the problems on the third slide. Encourage the use of a

calculator throughout so that energy is spent on the concept rather than the arithmetic.

To extend the application of this concept link the problems to the properties of geometrical

shapes, such as, angles in polygon or areas of a rectangle.

Plenary

The problem on the final slide is intended to assess each individual section of the concept. First,

the students have to create the ratio, and then use it to share 28. It may be appropriate to

delete the final part of the problem where Becky gives 1/3 of it to her mother. Students should

work through the problem on mini-whiteboards clearly showing their working out for each

phase of the problem

Resources:

Mini-Whiteboa

Calculators

Interactive Exc

File

Differentiation

More able:

Apply the concept of sharing to ratio to the properties of geometrical shapes. Students could be given the total amount and the amounts shared and asked to find the simplified ratio.

Less Able

Posing problems with the total share is a factor of the total amount will ensure the arithmetic does not distfrom applying the concept.

Using diagrams to split the amount into equal shares should be encouraged.