Unit 1

Introducing Multiplication

Unit Goals

Unit Narrative

In this unit, students interpret and represent data on scaled picture graphs and scaled bar graphs. Then they learn the concept of multiplication.

This is the first of four units that focus on multiplication. In this unit, students explore scaled picture graphs and bar graphs as an entry point for learning about equal-size groups and multiplication.

In grade 2, students analyzed picture graphs in which one picture represented one object and bar graphs that were scaled by single units. Here, students encounter picture graphs in which each picture represents more...

Section A

Section Goals

Section Narrative

In this section, students interpret and draw scaled picture graphs and scaled bar graphs to represent data. This builds on their grade 2 experiences with data representation and with skip-counting by 2, 5, and 10.

Students see that each picture in a picture graph and each line or increment in a bar graph can represent more than one object. They...

Let’s read and ask questions about data.

Let’s create graphs and answer questions.

Let’s explore scaled picture graphs.

Let’s make a scaled picture graph.

Let’s make a scaled bar graph.

Let’s choose a scale for our bar graph.

Let’s solve problems based on data represented in bar graphs.

Let’s solve problems using data shown on bar graphs.

Section A Practice Problems

to access Section Checkpoints.

Section A

Let’s read and ask questions about data.

Let’s create graphs and answer questions.

Let’s explore scaled picture graphs.

Let’s make a scaled picture graph.

Let’s make a scaled bar graph.

Let’s choose a scale for our bar graph.

Let’s solve problems based on data represented in bar graphs.

Let’s solve problems using data shown on bar graphs.

Section B

Section Goals

Section Narrative

In this section, students make sense of multiplication in terms of equal groups of objects. They use discrete drawings and tape diagrams that show equal groups to represent multiplication. Students then relate these representations to expressions, such as , interpreting them to mean “3 groups of 2.”

<p>Diagram. rectangle partitioned into 3 equal parts, each labeled 2.</p>

Note that expressions of the form could be interpreted to mean groups of...

Let’s work with equal groups of things.

Let’s represent equal groups.

Let’s write multiplication expressions.

Let’s represent and solve problems involving equal groups.

Let’s learn about multiplication equations.

Let’s work with equations with unknown numbers.

Let’s solve more multiplication problems.

Section B Practice Problems

to access Section Checkpoints.

Section B

Let’s work with equal groups of things.

Let’s represent equal groups.

Let’s write multiplication expressions.

Let’s represent and solve problems involving equal groups.

Let’s learn about multiplication equations.

Let’s work with equations with unknown numbers.

Let’s solve more multiplication problems.

Section C

Section Goals

Section Narrative

In this section, students relate the idea of equal groups to the structure of an array, a representation introduced in grade 2.

Students see that the rows and columns of an array represent equal groups. The number of rows (or columns), the number of items in each row (or column), and the total number of objects in an array can...

Let’s make some arrays.

Let’s match arrays to equal groups and draw arrays.

Let’s represent situations with arrays and expressions.

Let’s solve problems involving arrays.

Let’s learn about the commutative property.

Let’s plan a game night.

Section C Practice Problems

to access Section Checkpoints.

Section C

Let’s make some arrays.

Let’s match arrays to equal groups and draw arrays.

Let’s represent situations with arrays and expressions.

Let’s solve problems involving arrays.

Let’s learn about the commutative property.

Let’s plan a game night.

to access End-of-Unit Assessments.

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Introducing Multiplication

Unit Goals

Unit Narrative

Section Goals

Section Narrative

Section A Practice Problems

Section Goals

Section Narrative

Section B Practice Problems

Section Goals

Section Narrative

Section C Practice Problems

Unit 1 Resources

About Unit 1

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Section Goals

Section Narrative

Section A Practice Problems

Section Goals

Section Narrative

Section C Practice Problems

Section Goals

Section Narrative

Section B Practice Problems