MidSchoolMath 1

With far-reaching applicability (up through high school chemistry), knowing the art of unit conversion can save time and many headaches for students. During Saffron Shuffle, Ship Captain Mary Read gets wind that one of her crewmen, Patrick 'Mad Dog' Snog has some valuable saffron. She calls him in to discuss trading silver shillings for some of the saffron. 'Mad Dog' politely re-quests gold doubloons, so some conversions must be made. The data provided is an image of the saffron on a scale showing its weight as well as the current Silver Exchange rates.

LESSON: SAFFRON SHUFFLEHow many gold doubloons should he receive?

Saffron Shuffle

Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

The Math SimulatorTM

ImmersionPlay Saffron Shuffle Immersion video, whole-class. Restate the question: How many gold doubloons should he receive?Facilitate classroom discussion; ask students: "What do we need to know?"

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2 Data & ComputationPrint the Data Artifact 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 Saffron Shuffle 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.3dRatios & Proportional Relationships

2MidSchoolMath Saffron Shuffle

Clicker QuizLaunch the Clicker Quiz, whole-class.

6.RP.A.3dRatios & Proportional Relationships

Gladys: This standard builds upon 5.MD.A.1 in which students learned conversions within the same measurement system. Your students will now apply ratio reasoning to more complex conversion problems.

Kevin: Students may use their prior experience with ratio tables and double number lines to convert measurement units. Although, as complexity increases, these methods may not be the most efficient. Consider discussing unit analysis with students, as it is efficient and it omits confusion about deciding whether to multiply or divide.

Megan: A good resource to have for this stan-dard is a chart with common conversion ratios.

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #6Standard Math Procedures

Instruction at a Glance

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Set up problem.

Perform calculations and unit analysis.

3.5 miles = _______ inches

C: 221,760 inches

3.5 miles × ×

2 Use measurement ratios to convert miles to inches.

5,280 feet1 mile

12 in1 foot

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SAFFRON SHUFFLEHow many gold doubloons should he receive?

Patrick ‘Mad Dog’ Snog has acquired more valuable goods while onshore for a few days. He has made a list of his valuables and has again asked Captain Mary Read to trade with him for more gold doubloons. Being short on her supply of precious stones, she agrees.

Use the Captain’s Silver Exchange Rate document and Mad Dog’s list to calculate how many gold doubloons he should receive for each item.

6.RP.A.3d

Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

About this standard

Date PeriodName

MidSchoolMath Saff ron Shuffl e 1 of 2

APPLYING THE STANDARD

Determine in what units each conversion would result. 1)

Complete the ratio table, and then use it to complete the conversions.2)

MidSchoolMath Saff ron Shuffl e 2 of 2

Date PeriodName

How might this standard appear on a test?

In México, the speed limit signs are in kilometers per hour. What would this same speed be in miles per hour? (There are approximately 1.6 kilometers in a mile.)

3)

164 cups × × = 10.25a)1 gallon

4 quarts

1 quart

4 cups

2 yards × × × = 182.88b)12 inches

1 foot

2.54 centimeters

1 inch

3 feet

1 yard

a) 20 tablespoons = cups b) 36 tablespoons = cups

c) 5.5 cups = tablespoons d) cup = tablespoons18

Rattlesnakes can grow up to 2.4 meters long. How many feet is that?

1 meter = 100 centimeters1 inch = 2.54 centimeters1 foot = 12 inches

Check out my worked example #3

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