Grade 3 Math TEKS 3.4K:Solving Multiplication and Division Problems

Learning Target: I can solve one-step word problems involving multiplication using strategies such as equal groups, arrays, and repeated addition.

Focuses On:

• Reinforces vocabulary of multiplication including factor, product, and array.
• Solving one step multiplication problems using equal groups, arrays, and repeated addition.

Builds On:

2.6A:

I can solve two-step word problems involving multiplication and division.

Next Level:

4.4H:

Solve with fluency one‐ and two‐step problems involving multiplication and division, including interpreting remainders.

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This lesson is designed to support student understanding of the use of arrays, equal groups, and repeated addition as strategies to solve one-step multiplication problems within 100. Students will receive ample practice in solving one-step multiplication word problems using each of these strategies individually.

In the first instructional block, students use the concept of equal groups to solve multiplication word problems.

The second instructional block focuses on using arrays to solve one-step multiplication problems.

In the third instructional block, students use repeated addition as a strategy to solve multiplication word problems.

Scaffolds and supports such as pictorial representations and models are intentionally built throughout the lesson to support conceptual learning.  

Learning Target: I can solve one-step word problems involving division using a variety of strategies.

Focuses On:

• Reinforces vocabulary of division including divide, quotient, and equation.  
• Solving one step division problems using equal groups, inverse operations, and arrays.

Builds On:

2.6A:

I can solve two-step word problems involving multiplication and division.

Next Level:

4.4H:

Solve with fluency one‐ and two‐step problems involving multiplication and division, including interpreting remainders.

Read More:

This lesson is designed to support student understanding of the use of equal groups, inverse operations, and arrays as strategies to solve one step division problems within 100. Students will receive ample practice in solving one-step division word problems using each of these strategies individually.

In the first instructional block, students explore the concept of using equal groups to solve division problems. 

The second instructional block focuses how inverse operations can be used to solve problems. If a student knows a multiplication fact, they can use it to solve a related division problem. 

The third instructional block focuses on how to use arrays to help solve division problems. Using the models presented in the problems, students will see a visual representation of the rows and columns, and total number of objects in each array.

Scaffolds and supports such as pictorial representations and models are intentionally built throughout the lesson to support conceptual learning.  

Learning Target: I can represent and solve two-step multiplication and division problems using arrays, strip diagrams, and equations.

Focuses On:

• Understanding two-step problems
• Making connections between two step problems and a strip diagram, array, and equation

Builds On:

2.6A:

Model, create, and describe contextual multiplication situations in which equivalent sets of concrete objects are joined

2.6B:

Model, create, and describe contextual division situations in which a set of concrete objects is separated into equivalent sets

Next Level:

4.4H:

Solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders

Read More:

This lesson is designed to build conceptual understanding of two-step multiplication and division problems. It helps students understand the purpose of each step and connect to an equation.

The three instructional blocks in this lesson focus on arrays, strip diagrams and equations.  

In the first instructional block, arrays are used to model how the total number of objects can be divided by either rows or columns to find a missing value or how a total can be found by multiplying the rows and columns.

The second instructional block focuses on strip diagrams. Students explore how the strip diagrams shows: the total amount, how the total can be divided into equal groups and the value of each part or how many groups there are. Strip diagrams also help students visualize multiplication through looking at how the equal groups can be combined to find a total.

The third instructional block focuses on writing and solving equations to solve multiplication and division problems.

Scaffolds and supports such as pictorial representations and models are intentionally built throughout the lesson to support conceptual learning.