1. Find a Rate From a Line Graph Day 2
3.1 Ratios & Rates
Find a Rate From a Line Graph
Day 2

2. Math Minute 9 Directions
Work by yourself
You have 15 minutes to complete and/or correct all 10 questions
When you’re done…
Math Facts in a Flash
Accelerated Math
Incomplete work
D-11 Math Review
Raise your hand if you have a question!

3. Math Minute 9 ANSWER KEY 4 + 3 • 5 7/12 30 190 Tom, Kyle True 37 $520
8  16; 5  10; 12  36
8, 12, 16, 36

4. Math Minute 9 Extension Time
If you are an A-Team Member, you may go to the following websites:
Mathplayground.com
Funbrain.com
If you are NOT an A-Team Member, your computer needs to be closed. You should be working on one of the following things:
Incomplete/missing work
D-11 Math Review 1.4 DUE FRIDAY
Extra Credit

5. Reverse Schedule Period 7th Breakfast 8:00-8:15 9 8:15-9:25 7
9:29-10:56 5
11:00-11:40
Lunch
11:40-12:10
12:14-12:57 3
1:01-2:28 1
2:32-4:00

6. Announcements D-11 Math Review 1.3 DUE Tuesday
D-11 Math Review 1.4 DUE Friday
Reverse schedule today
Winter Math MAP on Thursday
Winter Aerospace Extravaganza on Tuesday
STAR Math Test on Friday
A-Team Members Q2W8 slips
December Newsletter DUE Friday

7. Results from Last Class
Time (sec) 2 4 6 8
Distance km) 3 9 ?
Most students said sound can travel 12 km in 8 sec 
Some students said 11 km and 13 km

8. Chapter 3 Pre-Test # Section Skill 1 3.1
Ratio as a fraction in simplest form 2 3
Find the unit rate 4 5
3.3
Tell whether the ratios form a proportion - expression 6 7
Tell whether the ratios form a proportion - in words 8
Write a proportion 9
3.4 10
3.5
Solve the proportion using multiplication 11 12
Solve the proportion using multiplication – Distributive Property

9. 3.1 Ratios & Rates – Find a Unit Rate from a Line Graph
LEARNING TARGET
3.1 Ratios & Rates – Find a Unit Rate from a Line Graph
Today I can determine a unit rate from a line graph by identifying what a point on the graph represents, using division to calculate the unit rate, and finding another point on the graph.
TCAP STANDARDS
1.4a Use the relationships among fractions, decimals, and percents, including the concepts of ratio and proportion, in problem-solving situations.
6.1a Use concrete materials or pictures to explain how ratios, proportion, and percents can be used to solve real-world problems.
AGENDA
(15 min) Math Minute 9
(10 min) Intervention/Extension
(5 min) Announcements & Results
(5 min) Lesson Overview
(10 min) 3.1 Lesson Start Thinking
(20 min) MODEL Finding a Unit Rate from a Line Graph (Finish)
(10 min) 3.1 Mini-Quiz
(5 min) Review Results
KEY VOCABULARY
Ratio
Rate
Unit rate
HOMEWORK & UPCOMING EVENTS
Missing & Incomplete Assignments
D-11 Math Review 1.3 DUE today
D-11 Math Review 1.4 DUE Friday

10. 3.1 Lesson Start Thinking
You are planning a trip to Atlanta, Georgia. Discuss with a partner the factors you need to consider if it would be best to fly or to drive. Determine which method of transportation you would use and explain why.

11. 3.1 Ratios & Rates – Find a Unit Rate from a Line Graph
LEARNING TARGET
3.1 Ratios & Rates – Find a Unit Rate from a Line Graph
Today I can determine a unit rate from a line graph by identifying what a point on the graph represents, using division to calculate the unit rate, and finding another point on the graph.
TCAP STANDARDS
1.4a Use the relationships among fractions, decimals, and percents, including the concepts of ratio and proportion, in problem-solving situations.
6.1a Use concrete materials or pictures to explain how ratios, proportion, and percents can be used to solve real-world problems.
AGENDA
(15 min) Math Minute 9
(10 min) Intervention/Extension
(5 min) Announcements & Results
(5 min) Lesson Overview
(10 min) 3.1 Lesson Start Thinking
(20 min) MODEL Finding a Unit Rate from a Line Graph (Finish)
(10 min) 3.1 Mini-Quiz
(5 min) Review Results
KEY VOCABULARY
Ratio
Rate
Unit rate
HOMEWORK & UPCOMING EVENTS
Missing & Incomplete Assignments
D-11 Math Review 1.3 DUE today
D-11 Math Review 1.4 DUE Friday

12. MODEL Finding a Rate from a Graph TEACHER EXAMPLE (p. 101 Example 3)
So far we’ve used statements and tables to find unit rates. We can also find unit rates using a line graph.
QUESTIONS TO ASK…
Question 1: What does the point (2,3) represent?
Question 2: What is the unit rate?
Question 3: What is the distance sound travels under water in 6 seconds?

13. MODEL Finding a Rate from a Graph CLASS EXAMPLE (Extra Example 3)
QUESTIONS TO ASK…
Question 1: What does the point (4, 22) represent?
Question 2: What is the unit rate?
Question 3: What is the distance you can travel in 6 seconds?

14. MODEL Finding a Rate from a Graph STUDENT EXAMPLE (p. 103 #29)

15. 3.1 Ratios & Rates – Find a Unit Rate from a Line Graph
LEARNING TARGET
3.1 Ratios & Rates – Find a Unit Rate from a Line Graph
Today I can determine a unit rate from a line graph by identifying what a point on the graph represents, using division to calculate the unit rate, and finding another point on the graph.
TCAP STANDARDS
1.4a Use the relationships among fractions, decimals, and percents, including the concepts of ratio and proportion, in problem-solving situations.
6.1a Use concrete materials or pictures to explain how ratios, proportion, and percents can be used to solve real-world problems.
AGENDA
(15 min) Math Minute 9
(10 min) Intervention/Extension
(5 min) Announcements & Results
(5 min) Lesson Overview
(10 min) 3.1 Lesson Start Thinking
(20 min) MODEL Finding a Unit Rate from a Line Graph (Finish)
(10 min) 3.1 Mini-Quiz
(5 min) Review Results
KEY VOCABULARY
Ratio
Rate
Unit rate
HOMEWORK & UPCOMING EVENTS
Missing & Incomplete Assignments
D-11 Math Review 1.3 DUE today
D-11 Math Review 1.4 DUE Friday

16. PREVIEW 3.1 Ratios & Rates Mini-Quiz
SHOW YOUR WORK!!!

17. 3.1 Mini-Quiz Graph

18. 3.1 Ratios & Rates Mini-Quiz
Mastery = At least 6/7
3/5
1/4
55 mi/h
$1.20 per can
$28 for 4 tickets
$7 per ticket
$63

19. 3.1 Ratios & Rates – Find a Unit Rate from a Line Graph
LEARNING TARGET
3.1 Ratios & Rates – Find a Unit Rate from a Line Graph
Today I can determine a unit rate from a line graph by identifying what a point on the graph represents, using division to calculate the unit rate, and finding another point on the graph.
TCAP STANDARDS
1.4a Use the relationships among fractions, decimals, and percents, including the concepts of ratio and proportion, in problem-solving situations.
6.1a Use concrete materials or pictures to explain how ratios, proportion, and percents can be used to solve real-world problems.
AGENDA
(15 min) Math Minute 9
(10 min) Intervention/Extension
(5 min) Announcements & Results
(5 min) Lesson Overview
(10 min) 3.1 Lesson Start Thinking
(20 min) MODEL Finding a Unit Rate from a Line Graph (Finish)
(10 min) 3.1 Mini-Quiz
(5 min) Review Results
KEY VOCABULARY
Ratio
Rate
Unit rate
HOMEWORK & UPCOMING EVENTS
Missing & Incomplete Assignments
D-11 Math Review 1.3 DUE today
D-11 Math Review 1.4 DUE Friday

20. Extension: Fire Hydrants (p. 103 #33)
Hint: Use the table on the right to record your data from the internet search.
Hint: Google “fire hydrant colors”
Color
Rate (GPM)
Rating
Blue
Green
Yellow/Orange
Red

21. Extension: Fire Hydrants ANSWER KEY