Curriculum / Math / 5th Grade / Unit 3: Shapes and Volume / Lesson 1
Math
Unit 3
5th Grade
Lesson 1 of 16
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Understand volume as an attribute of solid figures that is measured in cubic units. Find the volume of concrete three-dimensional figures.
The core standards covered in this lesson
5.MD.C.3 — Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
25-30 minutes
Does Figure A or B take up more space? Justify your answer.
(Teachers: Present students the constructed open-top containers of figures A and B from Nets A-C.)
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Volume is the measure of how much space something takes up. Compare the volume of Figures B and C.
(Teachers: Present students the constructed open-top containers of figures B and C from Nets A-C.)
a. Construct a figure that is 1 unit tall, 2 units wide, and 2 units long. What is its volume?
b. Construct another figure with the same volume.
c. Does the following figure have the same volume? Why or why not?
Grade 5 Mathematics > Module 5 > Topic A > Lesson 1 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
15-20 minutes
Problem Set
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
What is the volume of the figures at the front of the classroom?
(Teachers: Have figures constructed that look like this:)
a.
b.
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.
Extra Practice Problems
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
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Find the volume of pictorial three-dimensional figures.
Topic A: Volume of Three-Dimensional Figures
Standards
5.MD.C.35.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.45.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.35.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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