MidSchoolMath 1

Dividing numbers fluently is a skill that will be utilized in many other domains; not only in mathematics, but in life as well. In Which Way..., Dallas and her horse, Maggie, are both feeling the effects of being on the trail for so long. Dallas is worried about the con-dition of Maggie’s hooves, and she herself could use a good meal and some solid rest. She knows that she needs to get to a town soon. They stumble across a sign indicating there are three trails leading to various towns. Dallas wants to make the best decision, so she sits down to rest, think and do some calculations. The data provided are an image of the sign, with the trails and respective distances, as well as an image of her diary stating the anticipated pace she and Maggie could travel on each route.

LESSON: WHICH WAY...Which way should they go?

Which Way...

Fluently divide multi-digit numbers using the standard algorithm.

The Math SimulatorTM

ImmersionPlay Which Way... Immersion video, whole-class. Restate the question: Which way should they go?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 Which Way... 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.NS.B.2The Number System

MidSchoolMath 2Which Way...

6.NS.B.2The Number System

Clicker QuizLaunch the Clicker Quiz, whole-class.

Gladys: Move students towards thinking about place value when using the algorithm for division. When dividing 2,416 ÷ 8, for example, help students "see" the 2 and the 4 as 2,400. Students should recognize that the quotient should be around 300.

Kevin: Students often make mistakes during division because they have difficulty keeping digits in line. Provide access to graph paper for those students who need help correctly align-ing digits in columns.

Megan: Encourage students to check their solutions by multiplying the quotient by the divisor. The product should be the same as the dividend.

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #5Standard Math Procedures

Instruction at a Glance

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Use place value to estimate quotient.

Discuss various representations of the quotient.

Select best answer option.

3482 is around thirty-four hundred.

217 R 10 217 = 217 217.625

D: All of the above

16 3482-32

28

122-16

-11210

217 R10

16 times 200 is 3200, so 16 goes into 3400 at least 200 times.

2 Divide using algorithm.

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WHICH WAY...Which way should they go?

Dallas and her horse, Maggie, have been traveling along the Slithy Tove Mountain Pass, hoping to fi nd a place to rest soon. Along the pass, they encounter a new sign.

Dallas assumes there is a town at the end of each route and wonders if switching trails might get them to a place of rest faster. She takes some time to journal what she knows about each trail and what pace she thinks she and Maggie would be able to go on each route.

Wanting to arrive at a town as soon as possible, which way should they go?

6.NS.B.2

Fluently divide multi-digit numbers using the standard algorithm.

About this standard

Date PeriodName

MidSchoolMath Which Way... 1 of 2

APPLYING THE STANDARD

MidSchoolMath Which Way... 2 of 2

Date PeriodName

How might this standard appear on a test?

Find each quotient.1)

Below is a table showing the average weight of various animals. Use the information to answer each question. Hint: 1 ton = 2,000 pounds.

2)

Kayla has a change jar into which she only puts quarters. The jar weighs 950 grams when it is empty. A quarter weighs 5.6 grams. After collecting quarters for a month, the jar weighs 5,934 grams. How much money has Kayla saved?

3)

Carlos and Doug went on a road trip. They recorded how far they traveled each day in a travel journal. If they drove for a total of 30 hours, what was their average speed?

4)

The city of Vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards. If the width of the park is to be 84 yards, how much fencing does the city need to surround the park?

5)

a) 40,584 ÷ 76

a) How many more tons does a blue whale weigh than a hippopotamus?

b) How many more tons does an African elephant weigh than a Kodiak bear?

b) 445 ÷ 6 c) 4,221 ÷ 35 d) 9,537 ÷ 33

Check out my worked example #1b

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