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

Multiply Whole Numbers Times Fractions Using Two Methods METHOD #1 1 2 x 12 = _____𝑥_____ 2 METHOD #2 Divide by a Common Factor and Solve 1 2 x 12 = 1 𝑥 12 2 Did you get the same answer using both methods?

Multiply Whole Numbers Times Fractions Using Two Methods More Practice! METHOD #2 Divide by a Common Factor and Solve 16 x 1 4 = 16 𝑥 1 4 METHOD #1 16 x 1 4 = _____𝑥_____ 4 16 x 3 4 = _____𝑥_____ 4 16 x 3 4 = 16 𝑥 3 4 2 3 x 9 = _____𝑥_____ 3 2 3 x 9 = 2 𝑥 9 3 24 x 5 6 = _____𝑥_____ 6 24 x 5 6 = 24 𝑥 5 6

Find the Area Area = length x width Square Quadrilateral Rhombus 8 in2 14 cm2 Rectangle Quadrilateral Parallelogram 25 cm2 36 in2 15 in2 33 cm2

Problem 1: Build a Solid from a cube Concept Development 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!

Problem 2: Build solids with a given volume with cubic centimeters Concept Development Problem 2: Build solids with a given volume with cubic centimeters Since 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

Problem 2: Build solids with a given volume with cubic centimeters Concept Development Problem 2: Build solids with a given volume with cubic centimeters Work 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!

Problem 3: Represent solids on isometric dot paper 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. 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 Concept Development Problem 3: Represent solids on isometric dot paper Now let’s draw 2 cubic centimeters. Step 1: Connect four dots to make a rhombus. This will represent one square face of the cube, viewed at an angle. Step 2: Add another rhombus that shares its right edge, just like your cubes. 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.

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 the Problem 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 1 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 1 K. Clauson

5th Grade Module 5– Lesson 1 EXIT TICKET LESSON 1 5th Grade Module 5– Lesson 1 K. Clauson