Lesson 1

Cubes

Est. Class Sessions: 1
X

Mathematical Standards

2.NBT.A
Understand place value. (2.NBT.A.2)
2.NBT.B
Use place value understanding and properties of operations to add and subtract. (2.NBT.B.5, 2.NBT.B.7)
2.G.A
Reason with shapes and their attributes. (2.G.A.1, 2.G.A.2)
2.OA.C
Work with equal groups of objects to gain foundations for multiplication. (2.OA.C.4)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.

Students investigate shapes made with four or five connecting cubes. They describe the shapes of buildings made with cubes.

Content in this Lesson

  • Using connecting cubes to build three-dimensional shapes.
  • Recognizing that different partitions of a number have the same total [E1].
  • Applying the properties of addition (e.g., commutative, associative) to write number sentences that represent the volume of a building [E3].
  • Making connections between a building of cubes and number sentences [E4].
  • Identifying shapes that are the same size and shape [E5].
  • Recognizing that different shapes can have the same volume [E6].
  • Counting and adding cubic units to find volume [E8].
  • Using labels (e.g., cubic units) to show what numbers mean [MPE6].
X

Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Activity Book

Teacher Resources

 Teacher Guide - digital

Supplies for Student Pairs

about 40 connecting cubes

Materials for the Teacher

Unit 10 Assessment Record
Math Facts Class Record
about 40 connecting cubes
centimeter ruler
chart paper
heavy paper or card stock. See Materials Preparation.

Materials Preparation

Make Square and Non-Square Rectangles. Cut out a square and a non-square rectangle from heavy paper or card stock. Make sure the sides of the square are all the same length. Cut the non-square rectangle so that one side is obviously longer than the other side.

Triangle Flash Cards. Prepare copies of the Triangle Flash Cards on heavier paper or card stock. Have students cut apart each set and store them in an envelope. Provide each student with two sets, one to use at school and one to take home. Students will need these cards on an ongoing basis.

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed
Make Shapes with Cubes
with Feedback Box
Student Activity Book
Pages 505–507
E1. 
Recognize that different partitions of a number have the same total.
E3. 
Apply the properties of addition (e.g., commutative, associative) to write number sentences that represent the volume of a building.
E4. 
Make connections between a building of cubes, the building plan, and number sentences.
E5. 
Identify shapes that are the same size and shape.
E6. 
Recognize that different shapes can have the same volume.
E8. 
Count and add cubic units to find volume.
MPE5. 
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.
DPP Item A
Triangle Flash Cards: Group B Subtraction Facts
Teacher Guide - digital
E10. 
Demonstrate fluency with the subtraction facts related to the addition facts in Group B (3 − 0, 4 − 0, 5 − 1, 5 − 4, 6 − 1, 6 − 5, 7 − 1, 7 − 2,
7 − 5, 7 − 6, 8 − 1, 8 − 2, 8 − 3, 8 − 5, 8 − 6,
8 − 7, 9 − 1, 9 − 8).