Curriculum / Math / 5th Grade / Unit 3: Shapes and Volume / Lesson 2
Math
Unit 3
5th Grade
Lesson 2 of 16
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Find the volume of pictorial three-dimensional figures.
The core standards covered in this lesson
5.MD.C.4 — Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
The foundational standards covered in this lesson
3.MD.C.5 — Recognize area as an attribute of plane figures and understand concepts of area measurement.
3.MD.C.6 — Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
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Elijah built some figures out of unit cubes. What is the volume of each of Elijah’s figures below?
a.
b.
Elijah built more figures out of unit cubes. What is the volume of each of Elijah’s figures below?
(Teachers: Pair up students and give image A below to one in each pair and image B below to the other partner cut out from Build My Prism Template.)
a. The goal of the game is to get your partner to build a prism that matches the picture of your given prism.
b. Place the two prisms next to each other and discuss what is the same and what is different about them.
c. Switch roles and repeat.
Grade 5 Unit 1 Lesson 2 Activity 2, accessed on Dec. 9, 2021, 11:45 a.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 Set
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What is the volume, in cubic units, of each of the figures below?
The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
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Lesson 1
Lesson 3
Topic A: Volume of Three-Dimensional Figures
Understand volume as an attribute of solid figures that is measured in cubic units. Find the volume of concrete three-dimensional figures.
5.MD.C.3 5.MD.C.4
5.MD.C.4
Find the volume of a right rectangular prism by thinking about its layers.
5.MD.C.5
Find the volume of a right rectangular prism using its side lengths.
Represent volume using expressions related to the formulas $$V = b \times h $$ and $$V = l \times w \times h$$. Use these formulas to find the volume of pictorial rectangular prisms.
Understand standard units for measuring volume, including cubic inches, cubic centimeters, cubic feet, and cubic meters. Solve real-world and mathematical problems involving these various units.
5.MD.C.4 5.MD.C.5.B
Solve more complex real-world and mathematical problems involving volume.
Solve a three-act task involving volume.
Understand that volume is additive. Find the volume of composite solid figures when all dimensions are given and their decomposition is already shown.
5.MD.C.5.C
Understand that volume is additive. Find the volume of composite solid figures when not all dimensions are given and/or they must be decomposed.
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Topic B: Classification of Two-Dimensional Shapes
Classify shapes as polygons versus non-polygons and classify polygons according to their number of sides.
5.G.B.3 5.G.B.4
Classify quadrilaterals based on the presence or absence of one pair of parallel sides. Define trapezoids as quadrilaterals with at least one pair of parallel sides.
Classify trapezoids based on the presence of one or two sets of parallel sides. Define parallelograms as trapezoids with two sets of parallel sides.
Classify parallelograms based on the presence or absence of right angles or based on the presence or absence of sides of equal length. Define rectangles as parallelograms with four right angles and rhombuses as parallelograms with four equal sides.
Classify rectangles based on the presence or absence of sides of equal length, and classify rhombuses based on the presence or absence of right angles. Define squares as quadrilaterals with sides of equal length and all right angles.
Classify triangles based on side and angle measures.
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