3.1 Ratios & Rates

Find a Rate From a Line GraphDay 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!

Math Minute 9 ANSWER KEY

1. 4 + 3 • 52. 7/123. 304. 1905. Tom, Kyle6. True7. 378. $5209. 8 16; 5 10; 12 3610. 8, 12, 16, 36

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

Reverse SchedulePeriod 7th

Breakfast 8:00-8:159 8:15-9:257 9:29-10:565 11:00-11:40

Lunch 11:40-12:105 12:14-12:573 1:01-2:281 2:32-4:00

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

Results from Last Class

Time (sec) 2 4 6 8

Distance km) 3 6 9 ?

Most students said sound can travel 12 km in 8 sec Some students said 11 km and 13 km

Chapter 3 Pre-Test# Section Skill

1 3.1 Ratio as a fraction in simplest form

2 3.1 Ratio as a fraction in simplest form

3 3.1 Find the unit rate

4 3.1 Find the unit rate

5 3.3 Tell whether the ratios form a proportion - expression

6 3.3 Tell whether the ratios form a proportion - expression

7 3.3 Tell whether the ratios form a proportion - in words

8 3.3 Write a proportion

9 3.4 Write a proportion

10 3.5 Solve the proportion using multiplication

11 3.5 Solve the proportion using multiplication

12 3.5 Solve the proportion using multiplication – Distributive Property

LEARNING TARGET3.1 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 STANDARDS1.4a 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• (10 min) Intervention/Extension

KEY VOCABULARYRatioRateUnit rate

HOMEWORK & UPCOMING EVENTSMissing & Incomplete AssignmentsD-11 Math Review 1.3 DUE todayD-11 Math Review 1.4 DUE Friday

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.

LEARNING TARGET3.1 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 STANDARDS1.4a 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• (10 min) Intervention/Extension

KEY VOCABULARYRatioRateUnit rate

HOMEWORK & UPCOMING EVENTSMissing & Incomplete AssignmentsD-11 Math Review 1.3 DUE todayD-11 Math Review 1.4 DUE Friday

MODEL Finding a Rate from a GraphTEACHER EXAMPLE (p. 101 Example 3)

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?

MODEL Finding a Rate from a GraphCLASS 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?

MODEL Finding a Rate from a GraphSTUDENT EXAMPLE (p. 103 #29)

LEARNING TARGET3.1 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 STANDARDS1.4a 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• (10 min) Intervention/Extension

KEY VOCABULARYRatioRateUnit rate

HOMEWORK & UPCOMING EVENTSMissing & Incomplete AssignmentsD-11 Math Review 1.3 DUE todayD-11 Math Review 1.4 DUE Friday

PREVIEW 3.1 Ratios & Rates Mini-Quiz

SHOW YOUR WORK!!!

3.1 Mini-Quiz Graph

3.1 Ratios & Rates Mini-Quiz

3/5 1/4

55 mi/h $1.20 per can

$28 for 4 tickets$7 per ticket

$63

Mastery = At least 6/7

LEARNING TARGET3.1 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 STANDARDS1.4a 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• (10 min) Intervention/Extension

KEY VOCABULARYRatioRateUnit rate

HOMEWORK & UPCOMING EVENTSMissing & Incomplete AssignmentsD-11 Math Review 1.3 DUE todayD-11 Math Review 1.4 DUE Friday

Extension: Fire Hydrants (p. 103 #33)

Color Rate (GPM) Rating

Blue

Green

Yellow/OrangeRed

Hint: Use the table on the right to record your data from the internet search.Hint: Google “fire hydrant colors”

Extension: Fire Hydrants ANSWER KEY