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Adding and Subtracting Within 1000

Unit Plan

Adding and Subtracting Within 1000

Objectives

In this unit, students will add and subtract within 1000. Students will:

  • use base-ten blocks to add and subtract three-digit numbers.
  • use the splitting strategy to add and subtract three-digit numbers.
  • use the jumping strategy to add and subtract three-digit numbers.

Essential Questions

How are relationships represented mathematically?
How can mathematics support effective communication?
How is mathematics used to quantify, compare, represent, and model numbers?
What does it mean to estimate or analyze numerical quantities?
What makes a tool and/or strategy appropriate for a given task?
  • How is mathematics used to quantify, compare, represent, and model numbers? 
  • How can mathematics support effective communication?
  • How are relationships represented mathematically?
  • What does it mean to estimate or analyze numerical quantities?
  • What makes a tool and/or strategy appropriate for a given task?

Related Unit and Lesson Plans

Related Materials & Resources

Formative Assessment

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    Short-Answer Items

    Draw pictures of base-ten blocks to solve the following problems.

     

     

    1. 521 + 237 = _______________

     

     

     

     

     

     

     

     

    1. 416 + 253 = _______________

     

     

     

     

     

     

     

     

    1. 764 – 251 = _______________

     

     

     

     

     

     

     

     

    1. 984 – 523 = _______________

     

     

     

     

     

     

    Use the splitting strategy to solve each of the following problems. Show your work.

     

    1. 325 + 344 =_______________

     

     

     

     

     

     

     

     

    1. 415 + 342 = _______________

     

     

     

     

     

     

     

     

    1. 753 – 321 = _______________

     

     

     

     

     

     

     

     

    1. 859 – 237 = _______________

     

     

     

     

     

     

     

     

     

     

    Use the jumping strategy to solve each of the following problems. Show your work on the number lines.

     

    1. 468 + 253 = _______________

     

     

     

     

     

     

    1. 255 + 353 = _______________

     

     

     

    1. 824 – 285 = _______________

     

     

     

    1. 527 – 189 = _______________

     

     

    Short-Answer Key:

     

    Draw pictures of base-ten blocks to solve the following problems.

     

    1. 521 + 237 = 758

     

    Student should have drawn 7 flats, 5 longs, and 8 cubes.

     

     

     

    1. 416 + 253 = 669

     

    Student should have drawn 6 flats, 6 longs, and 9 cubes.

     

     

     

    1. 764 – 251 = 513

     

    Student should have drawn 7 flats, 6 longs, and 4 cubes. Then student should have crossed off 2 flats, 5 longs, and 1 cube.

     

     

     

    1. 984 – 523 = 461

     

    Student should have drawn 9 flats, 8 longs, and 4 cubes. Then student should have crossed off 5 flats, 2 longs, and 3 cubes.

     

     

    Use the splitting strategy to solve each of the following problems.

     

    1. 325 + 344 =669

     

    300 + 300 = 600

    20 + 40 = 60

    5 + 4 = 9

     

    600 + 60 + 9 = 669

     

     

     

     

     

     

     

     

    1. 415 + 342 = 757

     

    400 + 300 = 700

    10 + 40 = 50

    5 + 2 = 7

     

    700 + 40 + 7 = 747

     

     

    1. 753 – 321 = 432

     

    700 – 300 = 400

    50 – 20 = 30

    3 – 1 = 2

     

    400 + 30 + 2 = 432

     

     

     

    1. 859 – 237 = 622

     

    800 – 200 = 600

    50 – 30 = 20

    9 – 7 = 2

     

    600 + 20 + 2 = 622

     

     

     

    Use the jumping strategy to solve each of the following problems.

     

    1. 468 + 253 = 721

     

    Students should show jumping by 100s, 10s, and 1s. Some students will jump 100, 10, or 1 at a time, while others may make only one jump for each place value.

     

     

    1. 255 + 353 = 608

     

    Students should show jumping by 100s, 10s, and 1s. Some students will jump 100, 10, or 1 at a time, while others may make only one jump for each place value.

     

     

     

     

     

    1. 824 – 285 = 539

     

    Students should show jumping by 100s, 10s, and 1s. Some students will jump 100, 10, or 1 at a time, while others may make only one jump for each for each place value.

     

     

     

    1. 527 – 189 = 338

     

    Students should show jumping by 100s, 10s, and 1s. Some students will jump 100, 10, or 1 at a time, while others may make only one jump for each for each place value.

     

    Performance Assessment:

     

    Field Trip Problem

     

    You are the Field Trip Coordinator at Nickelodeon Universe. You have two elementary schools coming. You have to give each student a wristband to wear. You need to figure out how many wristbands you will need.

     

    Hoover Elementary School is bringing 242 students. Sand Creek Elementary is bringing 335 students. How many wristbands will you need?

     

    Solve using base-ten blocks, splitting, or jumping.

     

     

     

     

     

     

     

     

     

     

     

     

     

    Solve using a different strategy.

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    Yesterday, three schools attended Nickelodeon Universe for a field trip. You had 769 wristbands. You gave 235 of them to students. How many wristbands do you have left?

     

    Solve using base-ten blocks, splitting, or jumping.

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    Solve using a different strategy.

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

     

    Performance Assessment Key and Scoring Rubric:

     

    Field Trip Problem

     

    You are the Field Trip Coordinator at Nickelodeon Universe. You have two Elementary Schools coming. You have to give each student a wristband to wear. You need to figure out how many wristbands you will need.

     

    Hoover Elementary School is bringing 242 students. Sand Creek Elementary is bringing 335 students. How many wristbands will you need?

     

    Solve using base-ten blocks, splitting, or jumping.

     

    Answer is 577; 242 + 335 = 577

     

     

    Solve using a different strategy.

     

     

     

     

    Yesterday, three schools attended Nickelodeon Universe for a field trip. You had 769 wristbands. You gave 235 of them to students. How many wristbands do you have left?

     

    Solve using base-ten blocks, splitting, or jumping.

     

     

    Answer is 534; 769 – 235 = 534

     

     

    Solve using a different strategy.

     

     

     

     

     

     

     

     

     

    Points

    Description

    4

    • Mathematical responses are all correct.
    • Visual representations are correctly and clearly displayed.
    • Student demonstrates thorough understanding of number concepts.
    • Student performs beyond problem requirements.

    3

    • Mathematical responses are correct, possibly with one minor error.
    • Visual representations are correct but not completely clear or only partially explained.
    • Student demonstrates good understanding of the number concepts.
    • Student meets all problem requirements.

    2

    • Mathematical responses have one major or two minor errors.
    • Visual representations are provided but have some errors in logic or lack of detail.
    • Student demonstrates fair understanding of the number concepts with slight errors.
    • Student meets most problem requirements.

    1

    • Mathematical responses have major errors or three or more minor errors.
    • Visual representations are shown but are illogical, lacking clarity, or very little is shown.
    • Student demonstrates limited understanding of the number concepts.
    • Student does not meet most problem requirements.

    0

    • Mathematical responses are all incorrect or missing.
    • Visual representations are completely incorrect or missing.
    • Student demonstrates no understanding of the number concepts.
    • Student does not meet problem requirements.
Final 3/14/14
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