enVision Mathematics Topic 7
4th Grade; December (2 weeks); 2nd Trimester
Embedded Files
Topic Title(s):
Factors and Multiples
Prepared Graduates:
MP2. Reason abstractly and quantitatively.
MP7. Look for and make use of structure.
MP8. Look for and express regularity in repeated reasoning.
Standard(s):
2. Algebra and Functions
The highlighted evidence outcomes are the priority for all students, serving as the essential concepts and skills. It is recommended that the remaining evidence outcomes listed be addressed as time allows, representing the full breadth of the curriculum.
Students Can (Evidence Outcomes):
4.OA.B. Operations & Algebraic Thinking: Gain familiarity with factors and multiples.
Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite. (CCSS: 4.OA.B.4)
Reason quantitatively to recognize that a number is a multiple of each of its factors. (MP2)
Use the relationship between factors and multiples for whole numbers. (MP7)
Look for, identify, and explain the regularities in determining whether a given number is a multiple of a given one-digit number and in determining if a given number is prime or composite. (MP8)
Inquiry Questions
How can you use arrays to explore and determine all of the factors of a given number?
How are multiples and factors helpful in solving problems related to fractional parts of a whole number, such as 3/5 of 20?
Coherence Connections
This expectation supports the major work of the grade.
In Grade 3, students multiply and divide within 100.
In Grade 6, students compute fluently with multi-digit numbers, find common factors and multiples, and extend previous understandings of arithmetic to algebraic expressions.
Academic Vocabulary & Language Expectations:
Factor pairs, generalize, prime number, composite number, multiple
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topic 7
Additional enVision Mathematics Resources
Let's Investigate! Bead Patterns (TE) (supports Lessons 7-1, 7-2)
Additional Math Games: Factors, Multiples & Multiplicative Comparison (additional materials and preparation may be required)
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention: None since this Unit Plan supports the major work of the grade
Coherence Map/Concept Progressions: 4.OA.B.4
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