MidSchoolMath 1

A true comprehension of volume requires a fluid understanding and application of the formula V = l × w × h. In Phil and Ned’s Excellent Assignment, Phil and Ned receive a phone call from their boss, Miss Gravelle. She explains that the owners at their project site have asked that a luxury dog suite be included in the project. Miss Gravelle is unsure how much cement it will take to lay the foundation for the dog suite, so she asks Phil and Ned to help. The data provided is an image of the text message Miss Gravelle sends with the dimensions of the foundation and an accompanying picture foundation frame of the doghouse.

LESSON: PHIL & NED'S EXCELLENT ASSIGNMENTHow much cement should they send?

Phil and Ned's Excellent Assignment

5.MD.C.5bMeasurement & Data

Apply the formulas V = l × w × h and V = B × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

The Math SimulatorTM

ImmersionPlay Phil and Ned's Excellent Assignment Immersion video, whole-class. Restate the question: How much cement should they send?Facilitate classroom discussion; ask students: "What do we need to know?"

•

••

1

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.

•

•

•

•

Download the Detailed Lesson PlanAvailable on the Teacher Dashboard

3 ResolutionPlay Phil and Ned's Excellent Assignment Resolution video, whole-class. Prepare and give brief lecture (Teacher Instruction).

••

+ 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.

•

•

••

(Use student headphones.)

MidSchoolMath Phil and Ned's Excellent Assignment

Clicker QuizLaunch the Clicker Quiz, whole-class.

5.MD.C.5bMeasurement & Data

2

Gladys: Spend time with students on formula notation, discussing different ways they might appear and emphasizing the importance of knowing what each variable represents.

Kevin: Engage your students in a discussion around real-world situations and professions where the concept of volume would likely be important. Consider making the initial discus-sion a small-group task, then have groups share out. Encourage creativity and originality in thought!

Megan: Ask students to come up with exam-ples of or cases when they think V = B × h might be more useful than V = l × w × h (and vice versa).

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #4Standard Math Procedures

Instruction at a Glance

1 Using V = l × w × h, find the volume implied by each answer option.

B: 6 in. × 3 in. × 3 in. = 54 in3

A: 12 in. × 3 in. × 2 in. = 72 in3

D: 5 in. × 3 in. × 4 in. = 60 in3

C: 2 in. × 4 in. × 3 in. = 24 in3

C: 2 inches long, 4 inches wide, 3 inches high2 Select the option with a volume of 24 cubic inches.

5.M

D S

tand

ards

& L

esso

ns5.

MD

Ass

essm

ents

5.M

D D

omai

n Re

view

PHIL AND NED’S EXCELLENT ASSIGNMENTHow much cement should they send?

Miss Gravelle sent Phil and Ned another set of dimensions for an additional project at the Higgins site. This time they need to lay a foundation for a large shed. Below are the dimensions for the foundation.

How much cement should Phil and Ned send over for the foundation of the shed?

5.MD.C.5b

Apply the formulas V = l × w × h and V = B × h for rectangular prisms to fi nd volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

About this standard

Date PeriodName

MidSchoolMath Phil and Ned’s Excellent Assignment 1 of 2

The amount of cement Phil and Ned should send is ________________.

APPLYING THE STANDARD

A honeybee exhibit is being designed for a local insect museum. The bees will be on display in a glass rectangular prism enclosure. Due to the design of the exhibit, the height of the prism must be 12 inches. The bees will require 144 cubic inches. What are possible dimensions for the base of the exhibit?

1)

Joshua is making a pan of fruit gel. He needs to add 150 cubic inches of hot water to the gelatin. The rectangular pan has a length of 10 inches, a width of 7 inches and a height of 2 inches. Will there be enough room in the pan to add the water?

2)

Martha is shopping for an above-ground pool. Both of the pools below are in her price range. Which pool should she choose if she wants to have the largest volume of water?

4)

Martha should choose:

______________

4)

MidSchoolMath Phil and Ned’s Excellent Assignment 2 of 2

Date PeriodName

How might this standard appear on a test?

Identify the dimensions of Prisms Y and Z.

Prism Y: ________ × ________ × ________

Prism Z: ________ × ________ × ________

3a)

Calculate the volume of Prisms Y and Z.

Prism Y: Volume = ___________________

Prism Z: Volume = ___________________

3b)

Check out my worked example #2

5.M

D S

tand

ards

& L

esso

ns5.

MD

Ass

essm

ents

5.M

D D

omai

n Re

view