1. Stand Quietly

2. Lesson 5.1 Ratios and Rates
Students will be able compute rate and ratios.
CCSS. 7.RP. 1 and CCSS. 7. RP. 3

3. Warm- Up #1 Monday, 1/30/17
Reflect on your first semester in your math class and answer the following questions:
Write three new things that you have learned from last semester.
Write three things that you have done well from last semester
Write three things that you want to improve/achieve/learn from my class this second semester.

4. Homework 1/30/17
Workbook page 83 ALL

5. Warm- Up #2 1/31/17 12 girls out of 24 students
* Write the problem in three diff ratios
* Simplify the ratio
12 cats for every $4
*Write the problem in fraction ratio
* simplify the ratio
* Is this a unit rate?
Are 2 5 and equivelent fractions?

6. Homework 1/31/17
Textbook page 167 #11-22 ALL

7. Warm- Up #3 2/1/17 Find the Ratios and Unit Rate for each problem
25 flowers for 5 ribbons
70 kittens for 10 cats
$81 for 15 burgers
$19 for 4 gallons of gas

8. Homework 2/1/17
Worksheet: Unit Rates ODD #

9. Youtube

10. Ratios and Rates
ratio – a comparison of two numbers by division written in several different forms.

11. Ratios and Rates
rate – a ratio that compares different kinds of units by division to obtain a unit rate or rate per unit.
𝑁𝑢𝑚𝑒𝑟𝑎𝑡𝑜𝑟 𝐷𝑒𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑜𝑟  The denominator should have a 1

12. Ratios and Rates
The order of the numbers in a ratio should match the order of the words in a ratio.
apples to oranges
2 to 3

13. Ratios can be written in several different ways.
Ratios and Rates
Ratios can be written in several different ways.
red to black
3 to 1
3 : 1
3/1

14. Ratios and Rates Ratios can show comparisons between part to part
red to green
1 to 2
green to red
2 to 1

15. Ratios and Rates Ratios can show comparisons between part to whole
red to whole
1 to 3
green to whole
2 to 3

16. Ratios and Rates Ratios can show comparisons between whole to part
whole to red
3 to 1
whole to green
3 to 2

17. Ratios and Rates 1/8 Compare octagon to all shapes 1 out of 8 1 to 8
1 : 8
1/8

18. Ratios and Rates
Compare all shapes to trapezoid
8 to 1
8 : 1
8/1

19. Ratios and Rates
Compare pentagons to hexagons
2 to 3
2 : 3
2/3

20. Ratios and Rates Give each ratio in three forms.
1) 8 roses out of 24 flowers
8 24
8 to 24
8 : 24
2) 3 dogs out of 12 animals
3 to 12
3 : 12
3 12

21. Ratios and Rates
A ratio in fraction form can be expressed in simplest form by dividing the numerator and denominator by a common factor.
÷ 8
÷ 3 = =
÷ 8
÷ 3

22. Unit Rate: A rate with a denominator of 1
Example:
4 𝑜𝑟𝑎𝑛𝑔𝑒𝑠 $1 ; 3 𝑏𝑜𝑦𝑠 1 𝑔𝑖𝑟𝑙

23. Ratios and Rates 395 miles in 5 hours miles miles 79 miles per hour =
To express a ratio as a rate per unit, write the ratio as a fraction and then divide the numerator by the denominator.
395 miles in 5 hours
miles
miles
79 miles per hour =
hours
hours

24. Ratios and Rates Express each ratio as a rate.
1) 5 inches of rain in 30 days
÷ 5 =
inch of rain per day
÷ 5
2) 120 words in 3 minutes
40 words per minute
words =
per minute