X

  • = Denotes Benchmark Expectation

  • = Includes a Feedback Box

Benchmark Expectations. Several of the Expectations are prioritized as Benchmark Expectations because they are particularly important concepts and skills to be learned in this unit. Benchmark Expectations identify the concepts and skills that are central to the unit, are prerequisites for learning content in an upcoming unit, are the last significant opportunity for assessment in the curriculum or grade, or are concepts commonly associated with difficulties or misconceptions. These Expectations are marked with a red circle in the Key Assessment Opportunities Chart.

Feedback Boxes. Feedback Boxes are provided with several activities to report progress toward these Expectations. Look for the box ( ) on the Unit 3 Key Assessment Opportunities Chart. See Figure 2. In this unit, students will also get better acquainted with the Math Practices Expectations by discussing them in the context of a specific problem, receiving feedback, reviewing a peer's work, and revising their work.

Factors, Multiples, and Primes
Feedback Box		 Expectation Check
In		 Comments
Use arrays to solve multiplication and division problems. [Q# 1–2] E1
Decide whether one number is a multiple of another. [Q# 3 and 5] E2
Find the factors of a number. [Q# 2–6] E3
Decide whether a number is prime. [Q# 4 and 6] E4
Use break-apart products to solve a math facts problem. [Q# 7] E9
Use break-apart products to solve multiplication problems with larger numbers. [Q# 8] E9
Figure 2: Sample Feedback Box from Lesson 5

Key Assessment Opportunities Chart Print

L1SG Multiplication and Rectangles Check-In: Q# 17–18
Key Ideas in Unit 3

L1 SG

L2 SG

L2 SG

L3 TG

L4 SAB

L5 SG

L5 TG

L6 DPP

L6 SAB

L7 TG

L8 SG

L8 DPP

L9 SAB

L9 DPP

L9 DPP

L10 SG

L10 TG

L10 TG

L10 DPP
Unit 3 Expectations

Math Content

X

Content Expectations. The Expectations assessed in this unit focus on concepts of number and operations, specifically concepts of multiplication, factors and multiples. Because all the Algebra Key Ideas arise from and are closely connected to ideas in the other content strands, Expectations related to algebra will also be listed under a second content strand. For example:

Data 4. Using Data: Apply relationships and patterns in data to solve problems, develop generalizations, and make predictions.

E8. Use turn-around facts to solve multiplication problems (applying the commutative property of multiplication). (Algebra 4)

The Content section of the Unit 3 Key Assessment Opportunities Chart identifies some of the activities in the unit that are appropriate for assessing students' abilities with expectations related to these algebra and number concepts. The Math Facts section of the same chart identifies activities in the unit that are appropriate for assessing students' multiplication facts strategies.

Number 1

Number Sense: Understand the base-ten number system, recognize relationships among quantities and numbers, and represent numbers in multiple ways.

E1

 Represent and solve multiplication and division problems using rectangular arrays. [4.NBT.5, 6] [MP1, 2, 3]

E2

 Determine whether one number is a multiple of another number. [4.0A.4] [MP 2, 8]

E3

 Find the factors of a number. [4.0A.4] [MP 2, 8]

E4

 Identify prime numbers. [4.0A.4] [MP 2, 8]

E5

 Identify square numbers. [4.0A.4] [MP 2, 8]

E6

 Find the prime factorization of a number. [4.0A.4; 6.EE.1] [MP 1, 2, 8]

Number 2

Operations: Understand the meaning of numberical operations and their application for solving problems.

E7

 Solve multiplication problems using 0 and 1 as factors (applying the multiplication properties of 0 and 1). (Algebra 4) [4.0A.3; 4.NBT.5] [MP 1, 2]

E8

 Use turn-around facts to solve multiplication problems (applying the commutative property multiplication). (Algebra 4) [4.NBT.5] [MP 1, 2]

E9

 Break products into the sum of simpler products to solve multiplication problems (applying the distributive property of multiplication over addition). (Algebra 4) [4.NBT.5] [MP 1, 2, 3]

Math Facts

Number 3

Computation and Estimation: Use efficient and flexible procedures to compute accurately and make reasonable estimates.

E10

 Demonstrate fluency with the multiplication facts for the 5s, 10s, and square numbers. [3.0A.7]

E11

 Determine the unknown number in a multiplication or division sentence relating three whole numbers for the 5s, 10s, and square numbers facts.

Math Practices

X

Math Practices Expectations. Students use the Math Practices Expectations on the Math Practices page to help them focus on practices related to both problem solving and communication. See the page in the Student Guide Reference section. Students become more comfortable with these Expectations by reviewing them before, during, and after solving a problem and by deciding how well they are met in their work and the work of others.

The Math Practices section of the Unit 3 Key Assessment Opportunities Chart identifies activities in the unit that are appropriate for assessing students' use and development of the math practices related to problem solving habits and communication skills. In this unit, students will focus on showing their work [MPE5].
MPE1 Know the problem. I read the problem carefully. I know the questions to answer and what information is important.
MPE2 Find a strategy. I choose good tools and an efficient strategy for solving the problem.
MPE3 Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again.
MPE4 Check my calculations. If I make mistakes, I correct them.
MPE5 Show my work. I show or tell how I arrived at my answer so that someone else can understand my thinking. [MP3]
MPE6 Use labels. I use labels to show what numbers mean.