Grade 5: Chapter 11 –Geometry and Volume

Chapter Essential Question:How do unit cubes help you build solid figures and understand the volume of rectangular prism?

Before
(Grade 4) / Chapter Ten Standards
Grade 5 / After
(Grade 6)
Measurement and Data
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
CC.4.MD.3
Geometry
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
CC.4.G.2 / Measurement and Data 3: Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
  • I can identify, describe, and classify three-dimensional figures.
/ Geometry
Solve real-world and mathematical problems involving area, surface area, and volume.
CC.6.G.2
Measurement and Data 3a:Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
  1. A cube with a side length of 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.
  • I can understand unit cubes and how they can be used to build a solid figure.

Measurement and Data 3b:Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
  1. A solid figure which can be packed without gaps or overlaps using n unit cubes is aid to have a volume of n cubic units.
  • I can count unit cubes that fill a solid figure to find volume.

Measurement and Data 4: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
  • I can count unit cubes that fill a solid figure to find volume.
  • I can estimate the volume of a rectangular prism.

Measurement and Data 5a: Relate volume to the operations of multiplication and addition to solve real world and mathematical problems involving volume.
  1. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
  • I can find the volume of rectangular prisms.

Measurement and Data 5b.: Relate volume to the operations of multiplication and addition to solve real world and mathematical problems involving volume.
  1. Apply the formulas V = l x w x h and V = b x 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.
  • I can use a formula to find the volume of a rectangular prism.
  • I can use the strategy make a table to compare volumes.

Measurement and Data 5c: Relate volume to the operations of multiplication and addition to solve real world and mathematical problems involving volume.
  1. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping parts, applying this technique to solve real world problems.
  • I can find the volume of combined rectangular prisms.

Geometry 3: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
  • I can identify and classify polygons.
  • I can classify and draw triangles using their properties.
  • I can solve problems using the strategy act it out.

Geometry 4: Classify two-dimensional figures in a hierarchy based on properties.
  • I can classify and draw triangles using their properties.
  • I can classify and compare, quadrilaterals using their properties.

Each day the math block will begin with 15 minutes of Daily Math Review and Mental Math. The focus of DMR should be either prerequisite standard skills or previous chapter concepts that were not mastered. The focus of mental math should be based on the current Chapter’s skills and concepts. Adjust the amount of questions in DMR and MM to fit into the 15 minute time block.

Suggested Chapter Pacing

All lessons are paced for one day, unless otherwise indicated. Teachers may adjust to meet students’ needs.

Launching the Chapter / Pre-Assessment / Review Prerequisite Skills
Find It!: TE 635I / Show What You Know Assessment
Identify Tier 2 and Tier 3 Groups for Small Group Instruction.
Day before beginning Lesson 11.1 / Vocabulary Activity
Develop vocabulary for geometry.
TE 635H / Vocabulary Builder
Identify students who will need further vocabulary support for Chapter 11. / Preview Chapter Centers
Introduce chapter games, activities, and literature students will be using during center time. / School – Home Letter
Read together and send home.
I Can Statement / Essential Question / Implementation Notes
Lesson 11.1
Geometry 3 / I can identify and classify polygons. / How can you identify and classify polygons? /
  • Introduce new center activities

Lesson 11.2
Geometry 3, 4 / I can classify and draw triangles using their properties. / How can you classify triangles? /
  • Centimeter ruler and protractors

Lesson 11.3
Geometry 3 / I can classify and compare quadrilaterals using their properties. / How can you classify and compare quadrilaterals? /
  • Introduce one new center activity
  • Quadrilaterals (see eTeacher resources) and scissors

Lesson 11.4
Geometry 3 / I can identify, describe, and classify three-dimensional figures. / How can you identify, describe, and classify three-dimensional figures? /
  • Introduce two new center activities.
  • Mid-chapter checkpoint is not required

Lesson 11.5
Measurement and Data 3 / I can understand unit cubes and how they can be used to build a solid figure. / What is a unit cube and how can you use it to build a solid figure? /
  • Possible 2 day lesson
  • Centimeter cubes
  • Introduce one new center activity

Lesson 11.6
Measurement and Data 3a / I can count unit cubes that fill a solid figure to find volume. / How can you use unit cubes to find the volume of a regular prism? /
  • Possible 2 day lesson
  • Rectangular prism net A and centimeter cubes

Lesson 11.7
Measurement and Data 3b, 4 / I can estimate the volume of a rectangular prism. / How can you use an everyday object to estimate the volume of a rectangular prism? /
  • Rectangular prism net B and 2 different sized boxes

Lesson 11.8
Measurement and Data 4 / I can find the volume of rectangular prisms. / How can you find the volume of a rectangular prism? /
  • Introduce two new center activities

Lesson 11.9
Measurement and Data 5a / I can use formula to find the volume of a rectangular prism. / How can you use a formula to find the volume of a rectangular prism?
Lesson 11.10
Measurement and Data 5b / I can use the strategy make a table to compare volumes. / How can you use the strategy make a table to compare different rectangular prims with the same volume? /
  • Possible 2 day lesson
  • Introduce one new center activity

Lesson 11.11
Measurement and Data 5b / I can find the volume of combed rectangular prisms. / How can you find the volume of rectangular prisms that are combined? /
  • Possible 2 day lesson

Resources and Centers for Chapter 11
Technology / Hands-On Resources / Centers
Digital Lesson: Engage / Counting Tape / Activity: Geometry MATHO
Fastt Math / Centimeter Ruler / Activity: Protractor Practice
Interactive White Board Lesson / Protractor / Activity: Picture This
Interactive Student Edition / Quadrilaterals / Activity: 3-D Construction
iTools: Geometry / Scissors / Activity: What’s in the Box?
Math on the Spot Videos / Tracing paper / Activity: Inner Space
Mega Math / Centimeter cubes / Activity: Vary the Volume
Personal Math Trainer / Rectangular Prism Net A, B / Literature: Beautiful Geometry
2 Boxes / Literature: City of the Future
Different sizes / Game: Model Makers
Math Journal / Game: Triple Play
MathBoard
Other Hands-On Resources may be needed for Small Group Instruction Activities.
Additional Resources for Chapter 11
Measurement and Data 3a, 3b / Measurement and Data 4 / Measurement and Data 5a, 5b, 5c / Geometry 3 / Geometry 4
Fill The Box / Fill The Box / Volume of Prims / Quantiles: Analyzing Quadrilaterals (activity 2 only) / Illuminations: Sorting Polygons
Quantiles: Sorting and Classifying Quadrilaterals / Illuminations: Polygon Capture

Des Moines Public Schools 2014-2015Math Curriculum Guides Page | 1

Grade 5 – Chapter11