# ALEX Lesson Plan

## Creative Factor Trees

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This lesson provided by:
 Author: Delia Martinez System: College/University School: University of Alabama in Huntsville
General Lesson Information
 Lesson Plan ID: 33662 Title: Creative Factor Trees Overview/Annotation: Students will explore and review prime and composite numbers. Students will also build a factor tree model by displaying how to write out a prime factorization of a number correctly, how to identify prime and composite numbers, and how to check their results. This hands-on approach allows students to use different mediums and practice their understanding of mathematics.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2019 (2019) Grade: 4 4. For whole numbers in the range 1 to 100, find all factor pairs, identifying a number as a multiple of each of its factors. a. Determine whether a whole number in the range 1 to 100 is a multiple of a given one-digit number. b. Determine whether a whole number in the range 1 to 100 is prime or composite. Unpacked Content Evidence Of Student Attainment:Students: When given a number in the range 1-100, Find all factor pairs and recognize that a whole number is a multiple of each of its factors. Determine whether the whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a whole number in the range 1-100 is prime or composite.Teacher Vocabulary:Multiple Factor Prime Composite Whole number Factor pairKnowledge:Students know: Factor pairs include two numbers that when multiplied result in a particular product. Multiples are the result of multiplying two whole numbers.How to identify a prime or composite number.Skills:Students are able to: Find all factor pairs of a given number. Identify a number as a multiple of each of its factors. Determine whether a number is prime or composite. Understanding:Students understand that: A whole number is a multiple of each of its factors. Numbers can be classified as prime, composite, or neither, based on their properties and characteristics.Diverse Learning Needs: Essential Skills:Learning Objectives: M.4.4.1: Define factors, prime number, and composite number. M.4.4.2: Apply properties of operations as strategies to multiply and divide. M.4.4.3: Identify all factor pairs for a whole number in the range 1-20. M.4.4.4: Name the first ten multiples of each one-digit natural number. M.4.4.5: Recall basic multiplication facts. M.4.4.6: Count within 1000; skip-count by 5s, 10s, and 100s. Prior Knowledge Skills:Represent equal groups using manipulatives. Identify and define the parts of a multiplication problem including factors, multiplier, multiplicand and product. Use multiplication to find the total number of objects arranged in rectangular arrays based on columns and rows. Write an equation to express the product of the multipliers (factors). Relate multiplication to repeated addition and skip counting. Define pair, odd and even. Recall doubles addition facts with sums to 20. Apply sign+ and = to actions of joining sets. Model written method for composing equations. Skip count by 2s.

Local/National Standards:

CCSS.MATH.CONTENT.4.OA.B.4

NCTM Numbers and Operations Grade 4:

• use factors, multiples, prime factorization, and relatively prime numbers to solve problems

Primary Learning Objective(s):

Students will be able to find the prime factorization of a number as well as identify prime and composite numbers.

Preparation Information
 Total Duration: 61 to 90 Minutes Materials and Resources: Teacher: construction paper, popsicle sticks, flash cards, pre-made poster exampleStudents: scissors, markers, poster board, notebook paper, pencil, glue         -optional items: crayons, colored pencils, math notebook Technology Resources Needed: Teacher laptop with internet, interactive board, projector Background/Preparation: Advance Preparation: The teacher will need to bring in a completed example of the activity (poster), have materials out and ready, have the rubric handout printed out (provided as an attachment), have the math problems worked out ahead of time, and technology charged.Background Knowledge: Students will need to know their multiplication facts, what a number raised to a power means (3^4 = 3*3*3*3), and what it means to be a prime or composite number.
Procedures/Activities:

 Attachments:**Some files will display in a new window. Others will prompt you to download. Primefactorizationrubricpdf.pdf
Assessment
 Assessment Strategies Evaluation:Students will be evaluated on their poster using the rubric.Students can also be given 5 (or more) numbers and find the prime factorization as well as write it out correctly. This can be done in the student’s math notebooks and will need to be turned in so the teacher can check.(Note: the teacher can choose any composite numbers)
 Acceleration: Students can test themselves by playing the “Design a Forest” game that allows them to practice writing out prime factorization factors correctly.Try this link for additional practice on prime factorization: http://www.mathplayground.com/factortrees.html. Intervention: ELL: The lesson includes lots of visual demonstrations from games, the explanation of how to write out the factors of a number correctly, and a poster example. Students can also be given additional scaffolding with more visual examples and additional time if needed.Students with disabilities: Students will be given an extended deadline if needed. Students can work with an aide or a peer helper. The poster will also allow students to see their representation as well as use a variety of textures and mediums.Students who struggle academically: Provide additional scaffolding with these students. check to make sure they know how to complete the task starting with smaller examples and moving to higher numerals. Allow enough time for them to practice first and then do the poster.Gifted/advanced: Students who are comfortable working with numbers within 100 will be encouraged to try higher composite numbers to solve the prime factorization. They will also have the option to work as peer helpers for other students who need extra help.

 View the Special Education resources for instructional guidance in providing modifications and adaptations for students with significant cognitive disabilities who qualify for the Alabama Alternate Assessment.