find a rate from a line graph day 2
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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
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