Standard 3: Identify numerical patterns, including multiplicative patterns.

General Information
Number: MA.3.AR.3
Title: Identify numerical patterns, including multiplicative patterns.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Strand: Algebraic Reasoning

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MA.3.AR.3.AP.1
Determine whether a whole number from 1 to 100 is even or odd.
MA.3.AR.3.AP.2
Explore that a whole number is a multiple of each of its factors. Factors not to exceed single-digit whole numbers.
MA.3.AR.3.AP.3
Extend a numerical pattern when given a one-step addition rule (e.g., when given the pattern 5, 10, 15, use the rule add 5 to extend the pattern).

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Formative Assessments

Multiples of Six:

Students determine if a given number is a multiple of six, both with and without context.

Type: Formative Assessment

Students are presented with an equation and asked to find a pattern within the equation and to determine if the equation is true or not.

Type: Formative Assessment

Students are asked to consider what type of number results when adding two odd numbers and when adding three odd numbers.

Type: Formative Assessment

Students are asked to consider the parity of the sums of two even numbers, two odd numbers, and an even and an odd.

Type: Formative Assessment

Patterns Within the Multiplication Table:

Students are asked to find the missing numbers in a column of a multiplication table by using a pattern found within the table.

Type: Formative Assessment

Multiplication of Even Numbers:

Students are asked to determine if the total number of students in five classes will be even or odd.

Type: Formative Assessment

Lesson Plans

One with a Bun (Exploring the Multiplicative Identity Property of 1):

In this lesson students will explore the Multiplicative Identity Property of 1, using array and equal-group models for multiplication. Students will model story problems, translate problems into multiplication equations, and identify patterns in a set of multiplication facts to develop understanding of the Multiplicative Identity Property of 1.

Type: Lesson Plan

Product Productions:

The lesson uses a movie making theme to teach the characteristics and purpose of arrays, as well as the vocabulary, factor and product.

Type: Lesson Plan

Arrays Show the Way to the Multiplication Chart:

This is an introductory lesson to explore the use of arrays to solve multiplication problems. Students build arrays and save the arrays in a class Multiplication Chart. They learn to use arrays to find products and factors, and by placing them in the Multiplication Chart, they learn how to read the chart. They learn how to write equations to represent situations that are modeled with arrays. An overall theme is the organization of the multiplication chart and how it includes arrays within.

Type: Lesson Plan

Efficient Multiplication:

Students will engage with questions to evaluate the students' abilities to select and apply multiplication strategies with fluency and efficiency. The focus of the lesson is decomposing numbers to multiply using the Distributive property and understanding and applying the Commutative property. Then, students will reinforce decomposing of factors while playing Decomposition of Factors. The lesson concludes with a real world application problem on an Exit Slip.

Type: Lesson Plan

Framing Odd and Even Numbers to Make an Even Odd Street:

In this lesson, students will determine if numbers 0-20 are even or odd. Students will begin to develop the understanding that place value (specifically the ones place) will be useful in determining whether a number is even or odd.

Type: Lesson Plan

Fall Fun and Games! (Exploring the Commutative Property of Multiplication):

In this lesson, students will build and manipulate a variety of arrays in the context of creating games for a Fall Festival. They will practice using the Commutative Property of Multiplication to find related multiplication facts.

Type: Lesson Plan

Apples, Oranges, and Bananas of Math?:

In this lesson, the students will work in independently or in small groups to write equations to represent situations as well as their own math riddles around the concepts of multiplication. The teacher will use the book, The Grapes of Math by Greg Tang, to support this lesson.

Type: Lesson Plan

Original Student Tutorials

The Mystery of the Multiples:

Learn how to determine whether a whole number is a multiple of another whole number by using multiplication facts and skip-counting. You will be able to help Detective Barker in solving this mystery of which multiples belong to which whole numbers.

Type: Original Student Tutorial

Party Patterns: Odds and Evens in Addition - Part 3:

Determine if the sum of three odd or three even numbers will be odd or even as Lilly prepares for a math celebration in this interactive tutorial.

This is part 3 in a 3-part series. Click below to explore the other tutorials in the series.

Type: Original Student Tutorial

Party Patterns: Evens and Odds in Addition – Part 2:

Explore addition patterns to find if the sum of an odd and an even number will be odd or even in this interactive tutorial.

This is part 2 in a 3-part series. Click below to explore the other tutorials in the series.

Type: Original Student Tutorial

Party Patterns: Evens and Odds in Addition – Part 1:

Determine whether the sum of two odd numbers is odd or even and whether the sum of two even numbers is odd or even by helping Lilly prepare for a math celebration in this interactive tutorial.

This is part 1 in a 3-part series. Click below to explore the other tutorials in the series.

• Part 2: Party Patterns: Evens and Odds in Addition (COMING SOON)
• Part 3: Party Patterns: Evens and Odds in Addition (COMING SOON)

Type: Original Student Tutorial

Identifying Multiples:

The goal of this task is to work on finding multiples of some whole numbers on a multiplication grid. After shading in the multiples of 2, 3, and 4 on the table, students will see a key difference.  The focus can be on identifying patterns or this can be an introduction or review of prime and composite numbers.

Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Original Student Tutorials

The Mystery of the Multiples:

Learn how to determine whether a whole number is a multiple of another whole number by using multiplication facts and skip-counting. You will be able to help Detective Barker in solving this mystery of which multiples belong to which whole numbers.

Type: Original Student Tutorial

Party Patterns: Odds and Evens in Addition - Part 3:

Determine if the sum of three odd or three even numbers will be odd or even as Lilly prepares for a math celebration in this interactive tutorial.

This is part 3 in a 3-part series. Click below to explore the other tutorials in the series.

Type: Original Student Tutorial

Party Patterns: Evens and Odds in Addition – Part 2:

Explore addition patterns to find if the sum of an odd and an even number will be odd or even in this interactive tutorial.

This is part 2 in a 3-part series. Click below to explore the other tutorials in the series.

Type: Original Student Tutorial

Party Patterns: Evens and Odds in Addition – Part 1:

Determine whether the sum of two odd numbers is odd or even and whether the sum of two even numbers is odd or even by helping Lilly prepare for a math celebration in this interactive tutorial.

This is part 1 in a 3-part series. Click below to explore the other tutorials in the series.

• Part 2: Party Patterns: Evens and Odds in Addition (COMING SOON)
• Part 3: Party Patterns: Evens and Odds in Addition (COMING SOON)

Type: Original Student Tutorial

Identifying Multiples:

The goal of this task is to work on finding multiples of some whole numbers on a multiplication grid. After shading in the multiples of 2, 3, and 4 on the table, students will see a key difference.  The focus can be on identifying patterns or this can be an introduction or review of prime and composite numbers.