### Clarifications

**Fluency Expectations or Examples of Culminating Standards**

Students fluently multiply and divide within 100. By the end of grade 3, they know all products of two one-digit numbers from memory. Multiplication and division are new in grade 3, and meeting the multiplication and division fluency standard 3.OA.3.7 with understanding is a major portion of students’ work in grade 3.

**Examples of Opportunities for In-Depth Focus**

Finding single-digit products and related quotients is a required fluency for grade 3. Reaching fluency will take much of the year for many students. These skills and the understandings that support them are crucial; students will rely on them for years to come as they learn to multiply and divide with multidigit whole numbers and to add, subtract, multiply, and divide with fractions. After multiplication and division situations have been established, reasoning about patterns in products (e.g., products involving factors of 5 or 9) can help students remember particular products and quotients. Practice — and if necessary, extra support — should continue all year for those who need it to attain fluency.

**Subject Area:**Mathematics

**Grade:**3

**Domain-Subdomain:**Operations and Algebraic Thinking

**Cluster:**Level 1: Recall

**Cluster:**Multiply and divide within 100. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved

**Assessed:**Yes

**Assessment Limits :**

All values in items may not exceed whole number multiplication facts of 10 x 10 or the related division facts.**Calculator :**No

**Context :**No context

**Test Item #:**Sample Item 1**Question:**Multiply: 8 × 2

**Difficulty:**N/A**Type:**EE: Equation Editor

**Test Item #:**Sample Item 2**Question:**A. What number multiplied by 7 equals 42?

B. The number 42 divided by what number equals 7?

**Difficulty:**N/A**Type:**EE: Equation Editor

## Related Courses

## Related Access Points

## Related Resources

## Assessments

## Educational Games

## Educational Software / Tool

## Formative Assessments

## Lesson Plans

## Lesson Study Resource Kit

## Original Student Tutorials

## Problem-Solving Task

## Student Center Activity

## Teaching Ideas

## Tutorial

## Unit/Lesson Sequences

## Virtual Manipulatives

## STEM Lessons - Model Eliciting Activity

In this pool of floating rafts, students will divide to find the cost of each flotation device. They must then determine which raft is the best for public use based on cost, warranty, and assembly. Students will submit a letter to the client explaining their procedure for ranking the flotation devices.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal studentsâ€™ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Students will get to evaluate data and create a process for which bey blade would be the "best" for Mr. Brown's toy store. Data will include customer feedback, price, style and revolutions per minute. Students will apply understanding of division in problem-solving. They will write a letter explaining their procedure using grade-appropriate language conventions.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal studentsâ€™ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

## MFAS Formative Assessments

Students are assessed on their fluency with multiplication facts for the products of two one-digit numbers.

Students are asked to describe two different ways to find the product of two numbers.

## Original Student Tutorials Mathematics - Grades K-5

Jaliah is ready to celebrate her birthday and use strategies of doubling and halving and relating multiplication and division for building fluency with multiplication and division facts in this interactive tutorial.

This is part 1 of 2-part series, click HERE to view part 2.

Help Jaliah continue to plan her birthday party and be fluent in her math facts using helpful facts she already knows, and the relationship between multiplication and division in Part 2 of this interactive tutorial.

This is part 2 of 2-part series, click HERE to view part 1.

Explore how multiplication can help you solve division problems during this moon-themed, interactive tutorial.

## Student Resources

## Original Student Tutorials

Help Jaliah continue to plan her birthday party and be fluent in her math facts using helpful facts she already knows, and the relationship between multiplication and division in Part 2 of this interactive tutorial.

This is part 2 of 2-part series, click HERE to view part 1.

Type: Original Student Tutorial

Jaliah is ready to celebrate her birthday and use strategies of doubling and halving and relating multiplication and division for building fluency with multiplication and division facts in this interactive tutorial.

This is part 1 of 2-part series, click HERE to view part 2.

Type: Original Student Tutorial

Explore how multiplication can help you solve division problems during this moon-themed, interactive tutorial.

Type: Original Student Tutorial

## Educational Games

This tutorial will help you to brush up on your multiplication, division and factoring skills with this exciting game.

Type: Educational Game

You are trying to build the tallest ice cream cone by multiplying 2 whole numbers! Be careful! You are competing against to other kids! Go as fast as you can, but use the special powers to help you get ahead!

Type: Educational Game

This interactive Flash version of the familiar Concentration game ("pelmanism" in the UK) helps a single user practice fluency and memory of multiplication facts. The player can choose an array of 16, 20, or 24 cards, which appear face down. The goal is to flip two cards at a time to match all the pairs of factors with their products as efficiently as possible. A scoring feature discourages random guessing. Users can select to work with factors in three ranges. By selecting 2x-10x, the game addresses part of the standard: By the end of Grade 3, students will know from memory all products of two one-digit numbers. Printable versions of the game cards are available to download.

Type: Educational Game

This is a basic 10 by 10 multiplication box presented in an easy to use, online setting. All the answers are given like a jumble of puzzle pieces. It has a timer and keeps score of correct answers. Incorrect answers simply do not "stick" to the grid.

Type: Educational Game

This interactive game for two players develops students' fluency with multiplication facts, their understanding of the relationship between factors and products, and their strategic thinking. On a board displaying all the factors of the numbers 1-9, players take turns moving markers on the factor list and claiming their products. The first player to get four in a row wins the game.

Type: Educational Game

## Educational Software / Tool

In this activity, students solve arithmetic problems involving whole numbers, integers, addition, subtraction, multiplication, and division. This activity allows students to track their progress in learning how to perform arithmetic on whole numbers and integers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Software / Tool

## Student Center Activity

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Type: Student Center Activity

## Tutorial

This tutorial for student audiences will assist learners in furthering their understanding of multiplying with the use of a times table. Students will be able to navigate the teaching portion of the tutorial at their own pace and test their understanding after each step of the lesson with a "Try This" section. The "Try This" section will monitor students answers and self-check by a right answer turning orange and a wrong answer dissolving. On the 5th section of the tutorial students are provided with additional practice problems that self-check as well.

Type: Tutorial

## Virtual Manipulative

The students will be given mutiplication and division problems which they must answer. They also have the option of being given a number then stating the factors of how that number was attained using either multiplication or division.

Type: Virtual Manipulative

## Parent Resources

## Educational Game

This is an online game where students review division facts while feeding hungry aliens. The user can set the amount of fact families they want to play with from 2 - 12.

Type: Educational Game

## Problem-Solving Task

The purpose of this game is to help students think flexibly about numbers and operations and to record multiple operations using proper notation. Students eager to knock down all of the pins quickly develop patterns in their expressions. They may re-use parts of an expression, perhaps changing just the final operation.

Type: Problem-Solving Task

## Tutorial

This tutorial for student audiences will assist learners in furthering their understanding of multiplying with the use of a times table. Students will be able to navigate the teaching portion of the tutorial at their own pace and test their understanding after each step of the lesson with a "Try This" section. The "Try This" section will monitor students answers and self-check by a right answer turning orange and a wrong answer dissolving. On the 5th section of the tutorial students are provided with additional practice problems that self-check as well.

Type: Tutorial

## Virtual Manipulatives

This fun game lets the learners use their multiplication skills to beat the computer. Both the learner and the computer take turns moving one marker at a time. Whoever get 4 in a row first will win the game.

Type: Virtual Manipulative

This interesting game requires the learners to think fast and click on the correct symbol to complete the equation as quickly as possible.

Type: Virtual Manipulative