3.3 proportions determine when two rates are proportional day 2

3.3 Proportions

Determine When Two Rates Are Proportional

Day 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 1.3

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

Announcements• D-11 Math Review 1.3 DUE today• D-11 Math Review 1.4 DUE Friday• Reverse schedule today• Math MAP test on Thursday• Winter Aerospace Extravaganza tonight• STAR Math Test TBD• A-Team Members Q2W8 slips• December Newsletters DUE Friday

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

Results from Last Class

Most students showed their work to find that you can burn 75 calories per mile on the second day

A few students didn’t finish showing their work

Reverse SchedulePeriod 7th

KRKT 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

Data from 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 3.4 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 TARGET3.3 Proportions – How can you tell when two ratios form a proportion?

1. Today I can determine if two rates are equivalent by comparing their unit rates.2. Today I can answer at least two out of three questions correctly from the book by

showing my work by using division to compare unit rates.

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• (15 min) 3.3 Lesson Start Thinking• (15 min) MODEL Determining

Proportions (Finish)• (10 min) Extension: Same/Different• (15 min) Partner Book Practice

KEY VOCABULARYRateUnit RateProportional

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

3.3 Lesson Start Thinking

You go to the grocery store to buy cereal. How do you determine which cereal brand is the better buy?

LEARNING TARGET3.3 Proportions – How can you tell when two ratios form a proportion?

1. Today I can determine if two rates are equivalent by comparing their unit rates.2. Today I can answer at least two out of three questions correctly from the book by

showing my work by using division to compare unit rates.

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• (15 min) 3.3 Lesson Start Thinking• (15 min) MODEL Determining

Proportions (Finish)• (10 min) Extension: Same/Different• (15 min) Partner Book Practice

KEY VOCABULARYRateUnit RateProportional

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

MODEL – Determining ProportionsTEACHER: p. 110 Part B

MODEL – Determining ProportionsTEACHER: p. 110 Part B

Answer: First day 45 miles per hour; Second day 40 miles per hour

MODEL – Determining ProportionsCLASS: p. 110 Part C

MODEL – Determining ProportionsCLASS: p. 110 Part C

Answer: Both days 75 calories per mile

MODEL – Determining ProportionsPARTNER: p. 110 Part D

MODEL – Determining ProportionsPARTNER: p. 110 Part D

Answer: First day $0.45 per song, Second day $0.50 per song

LEARNING TARGET3.3 Proportions – How can you tell when two ratios form a proportion?

1. Today I can determine if two rates are equivalent by comparing their unit rates.2. Today I can answer at least two out of three questions correctly from the book by

showing my work by using division to compare unit rates.

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• (15 min) 3.3 Lesson Start Thinking• (15 min) MODEL Determining

Proportions (Finish)• (10 min) Extension: Same/Different• (15 min) Partner Book Practice

KEY VOCABULARYRateUnit RateProportional

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

Extension: Similarities/DifferencesWhat is the same or different about solving this problem versus Part B, C, & D?

Extension: Similarities/DifferencesWhat is the same or different about solving this problem versus Part B, C, & D?

Answer: Both days $2.50 per box of popcorn

LEARNING TARGET3.3 Proportions – How can you tell when two ratios form a proportion?

1. Today I can determine if two rates are equivalent by comparing their unit rates.2. Today I can answer at least two out of three questions correctly from the book by

showing my work by using division to compare unit rates.

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• (15 min) 3.3 Lesson Start Thinking• (15 min) MODEL Determining

Proportions (Finish)• (10 min) Extension: Same/Different• (15 min) Partner Book Practice

KEY VOCABULARYRateUnit RateProportional

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

Partner Book Practice p. 114 #18-20Pick 2 SHOW YOUR WORK!

Tell whether the two rates form a proportion.• #18 12 players from 21 teams; 15 players from

24 teams• #19 440 calories in 4 servings; 300 calories in 3

servings• #20 120 units made in 5 days; 88 units made

in 4 days

Partner Book Practice p. 114 #18-20Pick 2 ANSWER KEY

Tell whether the two rates form a proportion.• #18 12 players from 21 teams; 15 players from 24

teams – Answer: 1.75; 1.6 Not proportion

• #19 440 calories in 4 servings; 300 calories in 3 servings – 110; 100 Not proportional

• #20 120 units made in 5 days; 88 units made in 4 days – 24; 22 Not proportional