Lesson 1 Objective: Explore volume by building with and counting unit cubes. By the end of the lesson, you will be able to… 5th Grade Module 5 Lesson.

Lesson 1Objective: Explore volume by building with and counting unit cubes.

By the end of the lesson, you will be able to…

5th Grade Module 5

Lesson 1

K. Clauson

Multiply Whole Numbers Times Fractions Using Two Methods

METHOD #1

x 12 =

METHOD #2Divide by a Common Factor and Solve

x 12 =

Did you get the same answer using both methods?

Multiply Whole Numbers Times Fractions Using Two Methods

More Practice!

METHOD #1

16 x =

METHOD #2Divide by a Common Factor and Solve

16 x =

16 x = 16 x =

= x 9 =

24 x = 24 x =

Find the AreaArea = length x width

RectangleQuadrilateralParallelogram

SquareQuadrilateralRhombus

8 in2

25 cm2

14 cm2

36 in2

15 in2

33 cm2

Problem 1: Build a Solid from a cube

Shade a square on your centimeter grid paper with an area of 4 square units.

This is going to be the foundation for our structure. Place 4 cubes directly on top of that square.

Add more layers!

Concept Development

Problem 2: Build solids with a given volume with

cubic centimetersSince this is a cube with each edge measuring 1 centimeter, we call this a cubic centimeter.

These cubes can serve as a unit to measure the volume of your solid, the amount of space it takes up.

Just like we use squares to measure area in square units, we use cubes to measure volume, in cubic units.Example: 4 cm3

Concept Development

Problem 2: Build solids with a given volume with

cubic centimetersWork with a partner to build three different solids with a volume of 4 cubic centimeters.

Move on to make 5 cubic centimeters….. 6 cubic centimeters!

Concept Development

Problem 3: Represent solids on isometric dot paper

Now we are going to draw what we build! We will use isometric dot paper to draw our structures.We will start by drawing 1 cubic centimeter.

Concept Development

Step 1: Connect four dots to make a rhombus. This will represent one square face of the cube, viewed at an angle.

Step 2: Draw three straight segments to the right from the two vertices on the top and the one on the bottom right.

Step 3: Draw two segments to represent the missing edges.

Problem 3: Represent solids on isometric dot paper

Now let’s draw 2 cubic centimeters.

Concept Development

Step 1: Connect four dots to make a rhombus. This will represent one square face of the cube, viewed at an angle.

Step 3: Draw four straight segments to the right from the three vertices on the top and on the bottom right.

Step 4: Draw three segments to represent the missing edges.

Step 2: Add another rhombus that shares its right edge, just like your cubes.

Problem 3: Represent solids on isometric dot paper

With a partner, build a structure with no more than 10 cubes each. Then draw your partner’s structure on dot paper. Help each other figure out if it matches what you built.

Application Problem

Jackie and Ron both have 12 centimeter cubes. Jackie builds a tower 6 cubes high and 2 cubes wide. Ron builds one 6 cubes long and 2 cubes wide. Jackie says her structure has the greater volume because it is taller. Ron says that both of the structures have the same volume. Who is correct? Draw a picture to explain how you know. Use grid paper if you wish.

Application Problem Answer

Get Ready to Finish theProblem Set on Your Own!

Work on Problem Set 1.You will have 10 minutes to work!

-------------------------------------------------------------------Fast finishers:- Math Center Activities- choice boards, extra Sprint challenge

- CML packets/ worksheets- Problem Solving pages 5th Grade Module 5– Lesson 1

K. Clauson

5th Grade Module 5- Lesson 1K. Clauson

LET’S DEBRIEF

• Take 2 minutes to check your answers with your partner.• Let’s share any insights you had while solving these

problems.

5th Grade Module 5– Lesson 1K. Clauson

EXITTICKETLESSON 1