General Information
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.
Test Item Specifications
Items may only contain whole numbers between 1—100. Vocabulary may include prime, composite, factor, or multiple.
No
Allowable
Sample Test Items (3)
Test Item # | Question | Difficulty | Type |
Sample Item 1 | What are all the factors of 10?
|
N/A | MC: Multiple Choice |
Sample Item 2 | Which factors do 36 and 42 have in common?
F. 7 |
N/A | MS: Multiselect |
Sample Item 3 | Determine whether each number is prime or composite. |
N/A | MI: Matching Item |
Related Courses
Course Number1111 | Course Title222 |
5012060: | Grade Four Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
7712050: | Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current)) |
5012055: | Grade 3 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current)) |
5012015: | Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current)) |
Related Resources
Educational Games
Name | Description |
Arithmetic Workout | This tutorial will help you to brush up on your multiplication, division and factoring skills with this exciting game. |
Sigma Prime: A Prime Factorization Game |
|
The Factor Game | Test your factors skills with this fun factor game. Take turns choosing numbers from the board and identifying its factors. Outscore your opponent by identifying factors and using strategy to limit their score. Play against the computer or a friend. |
Product Game (Factors and Multiples) | 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. |
Formative Assessments
Name | Description |
Multiples of Six | Students determine if a given number is a multiple of six, both with and without context. |
Find All the Factor Pairs | Students are asked to find all the factor pairs for each of four given numbers. |
Factor Pairs | Students are asked to find all the factor pairs of a given number and identify the number as a multiple of the factors. |
Prime or Composite | Students are asked to determine whether each of four given numbers is prime or composite and justify their choices. |
Lesson Plans
Name | Description |
Divisibility Rules and Factors | The students will determine divisibility rules by looking for a pattern in multiples of a number. They will then utilize divisibility rules to find factors thereby strengthening this ability. The students will practice their factoring skills through the Four in a Row game. This lesson could be an introduction to divisibility rules but not findng factors. |
Fantastic Factors | In this lesson, students will start out using manipulatives to create arrays which will be used to find factor pairs. Students will use a T-Chart to determine the factor pairs of numbers. Students will then use their T-Charts to determine if a number is prime or composite. |
Hooray for arrays! | Students will identify prime and composite numbers through arrays. The lesson begins with a fun situational story. |
Abundant Numbers | This lesson provides practice in learning factors of numbers. Students will play a factor game then participate in a thought-provoking task. It is helpful if students know what a prime number is, but it is not essential. |
Using Rectangles to Find Prime and Composite Numbers | In this lesson, students will be using rectangles to find prime and composite numbers. Students will draw different rectangles for the area of a given set of numbers. They will determine the factor pairs for each number in the given set and use them to discover the meaning of prime and composite numbers. |
Factor That! | This is a foundation lesson in which the students will visually see the relationship between factors and products. As a result of this hands-on lesson and guided discussion, they will learn to identify the factors of a given number. |
Creating Factor Pair "Trees" | In this lesson, students will practice identifying factor pairs of whole numbers. Students will then draw a triangle around their factor work so that it resembles a triangular tree. Students will then circle all of the prime numbers inside the tree. The circles might represent the balls or ornaments on a holiday tree if doing this lesson around the holidays. This lesson does not teach an understanding of factors or prime numbers but is, rather, a practice of the students' knowledge of these concepts. |
Fun with Factors | This is an introductory lesson addressing factors for number 1-20. Factoring will lead students to discover differences and similarities between prime and composite numbers. Students will also discuss five claims about factors, prime, and composite numbers and create support from examples and non-examples to determine whether these claims are valid or invalid. |
Searching for the Primes | Students will use a 100s chart to sort out the prime numbers under 100 using the Sieve of Eratosthenes method. |
Prime Factorization - From Fingerprints to Factorprints | This activity provides an introduction to composite numbers and prime numbers through factorization. |
Original Student Tutorial
Name | Description |
Prime and Composite Backyard Dilemma | Discover what makes prime and composite numbers unique thanks to an interesting backyard problem in this interactive tutorial. |
Problem-Solving Task
Name | Description |
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. |
Teaching Idea
Name | Description |
Factors | This lesson is designed to develop students' abilities to find factors of whole numbers. The lesson also introduces prime numbers. This lesson provides links to discussions and activities related to factors as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one. Note, reading level is not indicated because the lesson does not include student reading material. |
Tutorials
Name | Description |
Recognizing Prime and Composite Numbers | This Khan Academy tutorial video reviews how to determine if a number is prime or composite. |
Factoring with the Factor Tree | This Java applet presents a composite number, and prompts you to factor it -- one step at a time. Enter one factor, prime or another composite; the applet calculates the remaining factor, and branches two boxes below any composite factor so that you may proceed factoring until you obtain the full factorization into primes, which the applet colors in green. Click the "Repeat problem" button to see that different factor trees for a given number still result in the same prime factorization. |
Student Resources
Original Student Tutorial
Name | Description |
Prime and Composite Backyard Dilemma : | Discover what makes prime and composite numbers unique thanks to an interesting backyard problem in this interactive tutorial. |
Educational Games
Name | Description |
Arithmetic Workout: | This tutorial will help you to brush up on your multiplication, division and factoring skills with this exciting game. |
Sigma Prime: A Prime Factorization Game: |
|
The Factor Game: | Test your factors skills with this fun factor game. Take turns choosing numbers from the board and identifying its factors. Outscore your opponent by identifying factors and using strategy to limit their score. Play against the computer or a friend. |
Product Game (Factors and Multiples): | 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. |
Problem-Solving Task
Name | Description |
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. |
Tutorial
Name | Description |
Recognizing Prime and Composite Numbers: | This Khan Academy tutorial video reviews how to determine if a number is prime or composite. |
Parent Resources
Problem-Solving Task
Name | Description |
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. |