MidSchoolMath 1

Being able to work with dollars as units relative to time is one of the most fundamental standards to prepare students for financial literacy. In Vacation Day, Cicero the Guard and his colleague are discussing vacation. Cicero gets one day of vacation every year. This year he wants to go to an all-inclusive resort, and he hopes to get a pedicure. Students must determine whether Cicero can afford to go to the resort. The data provided are Cicero’s Guard contract and the resort pamphlet.

LESSON: VACATION DAYCan the guard afford the all-inclusive resort?

Vacation Day

Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

The Math SimulatorTM

ImmersionPlay Vacation Day Immersion video, whole-class. Restate the question: Can the guard afford the all-inclusive resort?Facilitate classroom discussion; ask students: "What do we need to know?"

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2 Data & ComputationPrint the Data Artifact, cut into halves, and distribute to students. Allow students work time. Ask students: "Does your answer make sense?"Consider using a sharing protocol leading to mathematical insights and/or highlighting misconceptions. Allow students to revise their work.

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Download the Detailed Lesson PlanAvailable on the Teacher Dashboard

3 ResolutionPlay Vacation Day Resolution video, whole-class. Prepare and give brief lecture (Teacher Instruction).

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+ Simulation TrainerAssign the Simulation Trainer.Use protocols that encourage students to help each other.Use Progress Monitoring to access real-time data for the classroom.Provide individual help for students who are not making progress.

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(Use student headphones.)

6.RP.A.3bRatios & Proportional Relationships

MidSchoolMath 2Vacation Day

6.RP.A.3bRatios & Proportional Relationships

Clicker QuizLaunch the Clicker Quiz, whole-class.

Gladys: Avoid rushing to set up a proportion to solve ratio problems in Grade 6, as it is not required at this level. Encourage strategies such as ratio tables, tape diagrams, double number lines, and other intuitive strategies used by students. Give students opportunities to share their own creative methods with classmates.

Kevin: Provide students opportunities to analyze various rates and unit rates, taken from real-world contexts, and appearing in different forms (written text, table, graphs). Consider assigning these rates/unit rates in the various forms to students and ask them to find classmates with matching rates/unit rates.

Megan: Ask students to use the skills in this standard to create and solve their own real-world problem; then have students exchange with each other.

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #6Standard Math Procedures

Instruction at a Glance

1 Determine the unit rate for each of the given rates.

Small: $1.32 ÷ 12 oz. = $0.11 per oz.

Large: $2.40 ÷ 24 oz. = $0.10 per oz.

Medium: $1.44 ÷ 16 oz. = $0.09 per oz.

B: Medium2 Select most economical option.

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VACATION DAYCan the guard aff ord the all-inclusive resort?

Cicero the Guard looks forward to his one vacation day every year. After a small raise, Cicero now earns 6 denari for every 5 days of work. He has 35 more days of work until his vacation day.

The resort he has chosen is all-inclusive, meaning meals and spa services are included in the cost. This year, though, he wants to go all out and purchase brand new attire. He has made a list of what he hopes to buy.

Determine if Cicero can aff ord his vacation day.

6.RP.A.3b

Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

About this standard

Date PeriodName

MidSchoolMath Vacation Day 1 of 2

Can Cicero aff ord his vacation day?

APPLYING THE STANDARD

Three friends each mow lawns on the weekend to earn extra money. How many lawns can each friend mow in 10 hours?

During two hours of television, there are approximately 29 minutes of commercials. If one watch-es television for fi ve hours, how many minutes of commercials will be shown?

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2)

MidSchoolMath Vacation Day 2 of 2

Date PeriodName

How might this standard appear on a test?

Ricardo16 lawns in 8 hours

__ lawns in 10 hours

Julia14 lawns in 5 hours

__ lawns in 10 hours

Kenneth15 lawns in 6 hours

__ lawns in 10 hours

If the sales rates remain constant, order the car dealerships from most cars sold per month to least cars sold per month.

Aiko is hoping to buy her grandparents a ceramic bowl for their anniversary. The bowl costs $112.00. At her job, Aiko earns $40 for 5 hours of work. How many hours does Aiko need to work to buy her grandparents the bowl?

3)

5)

On average, it takes 3.4 minutes to download a 100-Megabyte video fi le. At this rate, how long will it take to download a 4-Gigabyte movie fi le? (1 GB = 1024 MB)

4)

Autos ‘R Us9 cars sold in 9 days

Motor World4 cars sold in 8 days

Quality Ride5 cars sold in 2 days

Car Nation6 cars sold in 10 days

Car Dealership

Least

Most

Cars sold each month

Check out my worked example #2

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