Multi-Digit and Fraction Computation

Lesson 13

Objective

Solve problems involving decimals using all four operations.

Common Core Standards

Core Standards

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  • 6.NS.B.3 — Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

Foundational Standards

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  • 5.NBT.B.7

Criteria for Success

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  1. Determine which operations are needed to solve a contextual problem.
  2. Apply the standard algorithms for adding, subtracting, multiplying, and dividing with decimals to solve problems accurately and efficiently (MP.6).

Tips for Teachers

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  • Standard 6.NS.3 calls for fluent computation with decimals. This lesson engages students in computing with decimals in real-world applications. In providing feedback and in understanding students’ progression towards mastery of the standard, consider the calculations separately from the interpretation of the problem. See our Guide to Procedural Skills and Fluency for additional information and strategies.
  • The following tools or materials are useful for this lesson: large graph or grid paper for computations, calculators to check answers.

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Anchor Problems

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Problem 1

Solve each problem.

  1. Juanita spent $24.50 on each of her 6 grandchildren at the fair. How much money did Juanita spend?
  2. Nita bought some games for her grandchildren for $42.50 each. If she spent a total of $340, how many games did Nita buy?
  3. Helen spent an equal amount of money on each of her 7 grandchildren at the fair. If she spent a total of $227.50, how much did each grandchild get?

Guiding Questions

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References

Illustrative Mathematics Gifts from Grandma, Variation 3

Gifts from Grandma, Variation 3, accessed on Sept. 28, 2017, 3:59 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Problem 2

A small inflatable pool holds 65.85 gallons of water. There are already 24.77 gallons of water in the pool. If water flows from a hose at a rate of 1.3 gallons per minute, how long will it take to fill the rest of the pool?

Guiding Questions

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Problem 3

Four friends are having a barbeque to celebrate a birthday. At the grocery store, the friends pick up the items shown in the list below:

  • 2.6 lbs. of grapes at $2.90/lb.
  • 6 ears of corn on the cob at $0.65 each
  • 4.48 lbs. of ground beef at $3.75/lb.
  • 2 packages of hamburger buns at $1.44 each 

The friends split the cost of the groceries evenly. How much does each friend owe for the food? 

Guiding Questions

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Problem Set

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With Fishtank Plus, you can download a complete problem set and answer key for this lesson. Download Sample

The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.

  • Include procedural problems, covering all four operations, focused on where students need to build greater fluency.
  • Include word problems that involve one or more operations with decimals; this is a great opportunity to review rate problems from Unit 2.

Target Task

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You’re building a rectangular frame to go around your vegetable garden. The area of your garden is $${1.96 m^2}$$and length of the garden is $${2.45 m}$$

  1. What is the width of your garden? 
  2. If the frame for your garden will go along the perimeter, how much wood will you need to build the frame? 

Mastery Response

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