MidSchoolMath 1

The idea of using equivalency to help solve a problem is a critical skill in mathematics. During Hay, country girl Kate must determine her monthly hay expense for her horse and two ponies. The data provided are the amount of hay eaten by the horse and ponies, how often they are fed, and the cost of a hay bale.

LESSON: HAYHow much does Kate spend on hay each month?

Hay

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example: 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

The Math SimulatorTM

ImmersionPlay Hay Immersion video, whole-class. Restate the question: How much does Kate spend on hay each month?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 Hay 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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5.NF.A.1Number & Operations - Fractions

(Use student headphones.)

MidSchoolMath 2Hay

5.NF.A.1Number & Operations - Fractions

Clicker QuizLaunch the Clicker Quiz, whole-class.

Gladys: Skills learned from 4.NF.B.3b, including adding fractions with like denominators, will be expanded upon in this standard.

Kevin: Discuss with students that multiplying original denominators will find a common denominator, but it might not be the smallest common denominator. Further simplification may be necessary.

Megan: Visual tools, like fraction models, can help students evaluate whether a common denominator found using an algorithm is reasonable.

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #6Standard Math Procedures

23

56

263

526

526

356

356

56

Instruction at a Glance

1

5

4

Set up subtraction problem.

Simplify.

Set up subtraction problem.

8 – 5

2

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2

3

Convert to improper fractions.

Find LCM and create equivalent fractions.

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HAYHow much hay did Kate’s horses eat this week?

Country girl Kate uses a weekly food log to keep a close eye on the amount of hay her horses actually eat. If healthy, each of her adult horses (Thunder, Knight, Will & Big Boy) will eat between 4 ½ and 5 bales of hay each week. If a horse eats any less than that, Kate checks in on them to see if they might be sick.

How much did each horse eat?

Which horse(s) should Kate check for sickness?

5.NF.A.1

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or diff erence of fractions with like denominators. For example: 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd).

About this standard

Date PeriodName

MidSchoolMath Hay 1 of 2

Kate should check:

Thunder Big BoyKnight Will

APPLYING THE STANDARD

To add or subtract fractions, it is sometimes necessary to replace the given fractions with equivalent fractions that have a common denominator.

MidSchoolMath Hay 2 of 2

Date PeriodName

How might this standard appear on a test?

For each set of fractions, write equivalent replacement fractions with a common denominator.

Find the sum or diff erence.

1) 35

14 2) 5

613 3) 1

213

15 4) 2

334

16

6) 14

58 3 3+ 7) 1

53

10 10 +5) 57

23

- 8) 13

12 4 1-

Tony is 11 years old. His little brother, Sean, is 8 years old. How much older is Tony than Sean?

Trina opened a new box of cereal. She ate 2

cups of cereal and her dad ate 3 cups. If the new box had 11 cups, how much cereal is left in the box?

9) 10)12

12

34

512

USAIN BOLT vs. THE CHEETAH The world’s fastest man, Usain Bolt, can run 100 meters in 9 seconds. The cheetah can run the same distance in 6 seconds.

How much faster is the cheetah than Usain Bolt?

35

110

Check out my worked example #8

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