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  • 1

    SFUSD Mathematics Core Curriculum, Grade 3, Unit 3.11: Volume and Weight, 20142015

    SFUSD Mathematics Core Curriculum Development Project 20142015

    Creating meaningful transformation in mathematics education

    Developing learners who are independent, assertive constructors of their own understanding

  • 2

    SFUSD Mathematics Core Curriculum, Grade 3, Unit 3.11: Volume and Weight, 20142015

    Grade 3 Unit 3.11 Volume and Weight

    Number of Days

    Lesson Reproducibles Number of Copies

    Materials

    Entry Task What Do You Know About Weight and Volume? 1 per student

    3

    Lesson Series 1

    Day HW: Measuring Weight With Paperclips Day 1 HW: Weight in Kilograms Day 1 HW: Weight and Mass Worth the Weight (2 pages) Day 2 HW: Units for Measuring Day 3 HW: Reading a Digital Scale

    1 per student 1 per student 1 per student 1 per student 1 per student 1 per student

    Per group: Balance, Spring scale, Gram pieces (10-15), Kilogram pieces (3-5 per group), Wood chip, Plastic chip, Metal chip (From 3rd Grade Foss Kit Matter & Energy)

    1 Apprentice Task

    Going to the Market (2 pages) HW: Story Problems About Weight and Mass HW: Measuring Weight Part 2 (2 pages)

    1 per student 1 per student 1 per student

    2 Lesson Series 2

    HW: Containers (2 pages) HW: Volume (2 pages)

    1 per student 1 per student

    Per group: Beaker, Vial, Graduated cylinder (From 3rd Grade Foss Kit Matter & Energy)

    1 Expert Task Car Wash (2 pages) HW: Measurement Story Problems

    1 per pair 1 per student

    2 Lesson Series 3

    More Punch, Please! (2 pages) HW: Solving One Step Word Problems (2 pages) Solving One Step Word Problems (2 pages) Exit Slip: Weights HW: Weight Problems (2 pages)

    1 per pair 1 per student 1 per student 1 per student 1 per student

    1 liter bottle per group 3-5 pieces of Construction paper per group Whiteboard - 1 per student

    1 Milestone Task

    Weighing and Measuring Problems Sheet 1 per student

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    SFUSD Mathematics Core Curriculum, Grade 3, Unit 3.11: Volume and Weight, 20142015

    Unit Overview Big Idea

    Volume and mass are attributes that can be estimated and measured using appropriate standard units.

    Unit Objectives

    Students will be able to measure and estimate liquid volumes and masses of objects using the standards units of grams, kilograms and liters. Students will be able to solve one-step word problems involving masses or volumes that are in the same units using addition, subtraction,

    multiplication, or division.

    Unit Description

    In this unit, students will continue to build their understanding of measurement expanding it to include the topics of Volume and Mass. Students will find exact and estimated measurements using liters when measuring volume, and grams/kilograms when measuring weight. Students will use all four mathematical operations applying their understanding of volume and weight to solve one-step word problems.

    CCSS-M Content Standards

    3.MD.2 Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same unit, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.

    Progression of Mathematical Ideas Prior Supporting Mathematics Current Essential Mathematics Future Mathematics

    In second grade, students recognized the need for standard units of measure (centimeter and inch) and used rulers and other measurement tools with the understanding that linear measure involves an iteration of units. They recognized that the smaller the unit, the more iterations they will need to cover a given length.

    Third grade is students first exposure to the measurement of mass and volume. Students will measure and estimate volume and mass, using grams, kilograms, and liters. They will also use multiplication, division, addition, and subtraction to solve one-step problems.

    In fourth grade, students will understand the relative sizes of measurement units within one system specifically: grams, kilograms, and liters. Within this system of measurement, students will gain practice in converting units from grams to kilograms and kilograms to grams

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    SFUSD Mathematics Core Curriculum, Grade 3, Unit 3.11: Volume and Weight, 20142015

    Unit Design All SFUSD Mathematics Core Curriculum Units are developed with a combination of rich tasks and lessons series. The tasks are both formative and summative assessments of student learning. The tasks are designed to address four central questions: Entry Task: What do you already know? Apprentice Task: What sense are you making of what you are learning? Expert Task: How can you apply what you have learned so far to a new situation? Milestone Task: Did you learn what was expected of you from this unit?

    1/2 3 1/2 1 2 1 2 1

    Total Days: 11

  • 5

    SFUSD Mathematics Core Curriculum, Grade 3, Unit 3.11: Volume and Weight, 20142015

    Entry Task What Do You Know About Weight

    and Volume?

    Apprentice Task Going to the Market

    Expert Task Car Wash

    Milestone Task Weighing Objects

    CCSS-M Standards

    3.MD.2

    3.MD.2 3.MD.2 3.MD.2

    Brief Description of Task

    Students will be asked to identify and explain why one object might weigh more than another and why one object holds more liquid than another. They demonstrate knowledge of appropriate tools to measure weight and volume.

    Students will read scales using standard units of measurement for weight (g and kg). They will apply knowledge of scales and balances to solve one-step addition and subtraction word problems involving measurement of weight.

    Students will read liquid volume using standard units of measurement for volume (L). They will solve one-step word problems involving measurement of volume using addition, subtraction, multiplication, or division.

    Students will apply their knowledge of measuring in grams and liters to solve one-step word problems using multiplication, division, addition, and subtraction.

    Source SFUSD Teacher Created Adapted from Engage NY Adapted from Engage NY Adapted from Braingenie.com

    Lesson Series 1

    Lesson Series 2

    Lesson Series 3

    CCSS-M Standards

    3.MD.2

    3.MD.2 3.MD.2

    Brief Description of Lessons

    Students will use nonstandard (large and small paperclips) to measure the weight of an object and discuss the importance of using standard units (grams and kilograms) to measure weight.

    Students will use nonstandard units (different sized vials) to measure the volume of a liquid and discuss the importance of using standard units (liters) to measure volume.

    Students will use their knowledge of weight and volume to solve one-step word problems, using addition, subtraction, division, and multiplication.

    Sources

    Foss Matter and Energy Unit georgiastandards.org

    Foss Matter and Energy Unit Engage NY georgiastandards.org

  • 6

    SFUSD Mathematics Core Curriculum, Grade 3, Unit 3.11: Volume and Weight, 20142015

    Entry Task What Do You Know About Weight and Volume?

    What will students do?

    Mathematics Objectives and Standards Framing Student Experience

    Math Objectives: Assess students prior knowledge in concepts of weight(how much an

    object weighs and volume (how much liquid a container holds). Assess student knowledge of choosing appropriate tools to measure

    weight and volume. CCSS-M Standards Addressed: 3.MD.2 Potential Misconceptions

    An object weighs the same if it is the same size. Objects are only measured linearly (1-D), just length. One tool is used for all measurements. Students might confuse the word volume with sound volume.

    Launch: Remind students they learned how to measure length of objects in

    second grade. Brainstorm when they might have have measured how heavy

    something is or how much liquid a container holds in real life. Remind students they already have some knowledge about weight and

    volume from life experiences. During:

    Student complete the Entry Task individually. Closure/Extension:

    After teacher reviews entry task to assess what students already know, teacher may choose to review it as a whole class.

    What Do You Know About Weight and Volume?

    How will students do this?

    Focus Standards for Mathematical Practice: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. Structures for Student Learning: Academic Language Support:

    Vocabulary: weight, volume, heavy, liquid, container Sentence frames: The bowling ball is heavier than the balloon because ________. The balloon is heavier than the bowling ball because ________. The swimming pool contains more liquid than the water bottle because______________. The water bottle contains more liquid because _______________.

    Participation Structures (group, partners, individual, other): Partner/ Group discussion, then individual work

  • 7

    SFUSD Mathematics Core Curriculum, Grade 3, Unit 3.11: Volume and Weight, 20142015

    Lesson Series #1 Lesson Series Overview: Students will use nonstandard (large and small paperclips) to measure the weight of an object and discuss the importance of using standard units (grams and kilograms) to measure weight. CCSS-M Standards Addressed: 3.MD.2