Ratio, Rate and proportion

10th grade

Ratio, Rate and

Proportion

Chapter 21

21.1 Working
With Ratio

Objective :
• I can record relationships using ratio
notation
• I can find one quantity when the
other is given
• I can divide amounts in a given ratio

When do we
use ratio?

A ratio is a way of comparing quantities

that are measured in the same units.

Simplify Ratios

Example

Let’s have a

game

Rules:

The class will be divided into teams randomly

You will be given 10 seconds to observe a picture

Then the question will be given

The fastest team that say the bell will be given 3 seconds to answer

If they fail to answer, the question will be given to another team that say the
bell

The answer should be in the simplest ratio

Judge’s decision is final

Trial

1

2

3

4

Equivalent Ratios

Bellwork

Dividing a Quantity in a Given Ratio

Golden Ratio

https://www.youtube.com/watch?v=BMJ_B9_ab74

https://www.youtube.com/watch?v=4xpda7WB87w

Ratio and Scale

21.2

Objective:

I can make sense of scales on

maps, models and plans

Scale

Many pictures do not show the real size of the object. Building
plans, for example, obviously cannot be drawn in real size.
These images are created to scale so that all their parts stay in
the same ratio.

Maps are drawn to many
different scales depending on the
detail needed.

Create your
dream house

●Sketch your house plan on a paper. It must contain the scale, the
name of each room and the measurements of the rooms.

●Answer the following questions
1.What is the real measurement of your bedroom?

2.What is the real measurement of the kitchen?

●Take the photo and submit it to Google Classroom

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Rates

21.3

Objective:

●I can read and interpret rates

●I can calculate average speed

04

12.4

Objective:
I can solve problems using distance–time
and speed–time graphs

Kinematic Graphs

PROPORTION

21.5

Objective:

●I can understand what is meant by direct and inverse
proportion

●I can Solve problems involving proportionate
amounts

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Direct and Inverse

Proportion in Algebraic

Terms

21.6

Objective:

I can use algebra to express direct and

inverse proportion

04

12.7

Objective:
I can increase and decrease amounts by
a given ratio

Increasing and

Decreasing Amounts

by a Given Ratio

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