2015-2016 Curriculum Blueprint
Grade: 4
Course: Mathematics
Topic 4 – Use Strategies and Properties to Multiply by 2-Digit Numbers
Flexible Time
Line
12 days
Topic Overview
Students will be able to use place value, the distributive property, compatible numbers, partial products, and arrays to multiply by two-digit numbers. Please
review Table 2: Common Multiplication and Division Situations (Page 89) to ensure students opportunities with all types of multiplication and division
problems.
Vertical Progression
3rd Grade: Students learn how to develop a meaning of multiplication using repeated addition, number lines, and arrays.
5th Grade: Students will use models to multiply decimals.
Learning Goal
Essential Questions
Students will be able use various strategies to multiply by two-digit numbers.
How can you use a model to multiply?
How can you use the Distributive Property to multiply?
Topic 4 Scale
How can you use multiplication to solve problems?
Textbook Correlation
Recommended Instructional Sequence
Essential Vocabulary
*Be selective in choosing problems aligned to the standards within
Step 1: Problem-Based Learning “Solve and Share”
 compatible numbers
the topic. Lessons and problems used for instruction and assessment
Problem-Based Learning Lesson Flow Map
should be determined through collaborative unit planning.
Conceptual understanding is developed when mathematics is
Topic 4: Use Strategies & Properties to Multiply by 2-Digit Numbers
introduced in the context of solving a real problem in which
Lesson 4-1: Mental Math: Multiply by Multiples of 10.
ideas related to the new content are embedded. Conceptual
Lesson 4-2: Use Models to Multiply 2-Digit Numbers by Multiples of
understanding results because the process of solving a problem
10.
requires students to connect their prior knowledge with the
Lesson 4-3: Estimate: Use Rounding
new concept or procedure (Charles, R., Bay-Williams, J., et al.,
Lesson 4-4: Estimate: Use Compatible Numbers
2016).
Lesson 4-5: Arrays and Partial Products
Lesson 4-6: Multiply using the Distributive Property
Lesson 4-7: Use Partial Products to Multiply by 2-digit
Numbers
Lesson 4-8: Multiply 2-Digit By Multiples of 10
Lesson 4-9: Multiply 2-Digit Numbers by 2-Digit Numbers
Lesson 4-10: Continue to Multiply by 2-Digit Numbers
Lesson 4-11: Math Practice & Problem Solving: Make Sense &
Persevere
*Please be strategic in selecting lessons/problems from the textbook. The
standard algorithm for multiplication is not included in these standards as it
will be introduced in 5th grade.
Each lesson in the book begins with a Solve and Share. See the
links below for additional tasks to be used as needed:
Math Formative Assessment System (MFAS) Tasks by Standard
Illustrative Mathematics Tasks by Standard
Step 2: “Visual Learning Bridge”
Enhance student learning by connecting student thinking and
solutions from the Solve and Share to the new ideas of the
lesson through the use of the worked-out problem in the
textbook.
**The following standard is not addressed in textbook. See additional
resources. MAFS.4.OA.1.b
Revised 9/15/15
Deconstructed Standards
MAFS.4.NBT.2.5 (DOK 2) Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies
based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
 Multiply a whole number of up to four digits by a one-digit whole number.
 Multiply two two-digit numbers.
 Use strategies based on place value and the properties of operations to multiply whole numbers.
 Illustrate and explain calculations by using written equations, rectangular arrays, and /or area models.
MAFS.4.OA.1.3 (DOK 2) Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including
problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the
reasonableness of answers using mental computation and estimation strategies including rounding.
 Divide whole numbers including division with remainders.
 Represent multi-step word problems using equations with a letter standing for the unknown quantity.
 Interpret multi-step word problems (including problems in which remainders must be interpreted) and determine the appropriate operations to
solve.
 Assess the reasonableness of an answer in solving a multi-step word problem using mental math and estimation strategies (including rounding.)
MAFS.4.OA.1.b Determine the unknown whole number in an equation relating four whole numbers using comparative relational thinking. For example, solve
76 + 9 = n + 5 for n by arguing that nine is four more than five, so the unknown number must be four greater than 76.
Math Practice Standard(s)
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.1.1 Make sense of problems and persevere in solving them.
MAFS.K12.MP.7.1 Look for and make use of structure.
Additional Resources & Links
Higher Order Questions & Writing Connections
MAFS.4.OA.1.b
Link to Webb’s DOK Guide
Link to standard as it relates to multiplication
*Higher order questions should be utilized to foster a deep, conceptual
understanding of the topic. Encouraging students to express their
Georgia Units
mathematical thinking in writing helps them solidify their learning.
Unit 2
 Write to explain how you solved the problem.
 At the Circus
 Compare and contrast a peer’s solution method to yours. Write
EngageNY - Module 3
about what you’ve learned.
Topic D
 Write to justify your conclusion.
Topic H
 What real life situations require multiplication?
 How do you know your answer is reasonable?
EngageNY Math Studio Talk: Common Core Instruction for 4.NBT
This video addresses strategies for using place value understanding to perform
 How could you model the problem? Why did you choose that
multi-digit arithmetic. This segment focuses on multiplication and division.
model?
(5:17 – end of video)
 How are multiplication and addition related?
* YouTube must already be opened on your browser before clicking the link.
 What are some strategies for solving multiplication problems?
Revised 9/15/15
Table 2: Common Multiplication and Division Situations (Page 89)
Common Core State Standards for Mathematics



Write a situation equation to represent the word problem.
Generate a word problem that matches the given equation.
How can you identify which strategy is best to use in a multiplication
problem?
www.pearsonrealize.com
Home-School Connection Page
Reteaching Pages
Florida Interim Assessment Item Bank and Test Platform
Marzano Proficiency Scales Bank
Math Formative Assessment System (MFAS) Tasks by Standard
CPALMS -MFAS includes tasks and rubrics that the teacher can implement with
their students.
Illustrative Mathematics Tasks by Standard
The site illustrates standards with impeccably crafted tasks, videos, lesson plans,
and curriculum modules.
Common Core Flip Books: Provides additional information and sample problems
for every standard
FSA Test Item Specifications
Spiral Review
*Consistent review of previously learned standards allows students multiple opportunities to master and build fluency with mathematical concepts and
procedures.
www.pearsonrealize.com
Daily Review 4-1 through 4-11
Revised 9/15/15