MidSchoolMath 1

The addition and subtraction of fractions is a commonly used skill in everything from cooking and sports to construction and business. In Acre Acquisition, Tiberius Picklebottom fulfills a longtime dream of purchasing land in the great American West. And, he was lucky enough to be able to purchase two parcels of land on the outskirts of town! As he is reviewing his deed for his newly acquired property, he notices something peculiar, and begins to suspect that there may have been an error made on the deed. The data provided is the image of the deed itself with the calculations used to produce the exact amount of land Tiberius had purchased.

LESSON: ACRE ACQUISITIONWhat did he notice on the deed?

Acre Acquisition

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, (e.g. by using visual fraction models or equations to represent the problem). Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

The Math SimulatorTM

ImmersionPlay Acre Acquisition Immersion video, whole-class. Restate the question: What did he notice on the deed?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 Acre Acquisition 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.2Number & Operations - Fractions

(Use student headphones.)

MidSchoolMath Acre Acquisition

Clicker QuizLaunch the Clicker Quiz, whole-class.

5.NF.A.2Number & Operations - Fractions

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Gladys: This standard builds upon students' understanding of visual fraction models from Grade 4.

Kevin: As often as possible, encourage students to use their understanding of benchmark fractions to estimate an answer before beginning calculations.

Megan: Allow students many opportunities to share their thinking, and challenge them to reason beyond the algorithm, via visual models, benchmark fractions, etc.

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #3Standard Math Procedures

Instruction at a Glance

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Draw a model representing the whole.

Eliminate of the model.

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4

Eliminate of the model.

Determine amount of whole that still remains.

of the bowl remains.

14

58

18

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ACRE ACQUISITIONWhat did he notice about the deed?After several months of taking care of his land, Tiberius decided that it might be easier if he didn’t have so much land to care for. Thus he has decided to sell part of his land. Of his 9/10 acre, he desires to sell 1/5 acre, so Tiberius goes back to see Conrad Skinner to fi le the paper work. Once again, upon reviewing the document, Tiberius notices something peculiar.

What did he notice about the deed?

5.NF.A.2

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, (e.g. by using visual fraction models or equations to represent the problem). Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

About this standard

Date PeriodName

MidSchoolMath Acre Acquisition 1 of 2

What did he notice about the deed?

APPLYING THE STANDARD

Circle each situation that could be solved using the expression + .1)

Michelle planted of her garden bed with pepper plants, and another of the garden bed with carrots. She plans to use the remaining space to grow tomatoes.

2)

Jackson and Loren decided to grow their hair out all summer. Jackson’s hair grew of an inch, while Loren’s grew of an inch.

3)

Bella just fi nished making fresh spring rolls for her book club and was about to make her Grandma Mabel’s famous dipping sauce. Bella wants to have 4 cups of sauce. How many batches of Grandma Mabel’s sauce will Bella need to make?

4)

Kyle and Kristen shared a pizza. Kyle ate of the pizza and Kristen ate of the pizza. How much of the entire pizza did they eat all together?

a)

Draw a fraction model to represent the garden bed.

a)

How can you use benchmark fractions to easily tell whose hair grew more over the summer?

a)

How much taller is Ezequiel than Janae?

a)

If the three students lay on the fl oor, end to end, how many feet would their bodies stretch in total?

c)

How much taller is Marissa than Janae?

b)

How much space in the garden bed is left to plant tomatoes?

b)

Write and solve an expression to answer how much longer Loren’s hair grew than Jackson’s.

b)

MidSchoolMath Acre Acquisition 2 of 2

Date PeriodName

How might this standard appear on a test?35

23

35

23

Bentley ran of a mile, while Elliot biked of a mile. Who traveled further?b) 23

35

Yolanda drank of her water bottle. Natalie drank of her water bottle. How much water did they drink together?

c) 23

35

12

5123

4

14

5)

Check out my worked example #3a

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