Lesson 1:

Ratio and Rate

Learning Objective/s

Express one value as a fraction of another given their ratio and vice versa

• Find how many times one value is as large as another given their ratio and vice versa

• Define and illustrate the meaning of ratio using concrete or pictorial models

• Determine unit rate

Success Criteria

Discussions

Solving Problems Involving Ratio

Understanding Proportions

A basket of fruits labeled A has 3 bananas and 5 mangoes. Another basket of fruits labeled B has 6 bananas and 10 mangoes. In basket B, the ratio of the number of bananas to the number of mangoes can be written as 6 : 10. This ratio can be simplified to 3 : 5. Notice that these two ratios are equal. This means that the two ratios form a proportion. You can also draw a picture to show that the two groups form a proportion.

Cross Curricular Link

Real Life - Application

Evaluation

Performance Task: Group Task

Work in groups to do these tasks. You will need a measuring tape (or a piece of string) and centimeter ruler to do this activity. Use the measuring tools to measure the following body parts of each member in your group.

Name of Group Member Height (cm) Wingspan Tibia

___________________________________ __________________ _______________ __________

_________________________ _________ ___________________ _______________ __________

___________________________________ ___________________ _______________ __________

Name of Group Member Ratio of Tibia to Height Ratio of Wingspan to Height

_________________________ __________ __________

1. Compare the ratios for all the members in your group. Do you find a ratio that is almost the same for all members? __________ If yes, which ratio/s? __________

2. Find the decimal ratio for the tibia and height. What fraction of your height is your tibia? __________

3. Find the decimal ratio for the wingspan and height. What fraction of your height is your wingspan? __________