2015-2016 Curriculum Blueprint
Grade: 5
Course: Mathematics
Topic 13 – Write and Interpret Numerical Expressions
Flexible Time
Line
6 days
Topic Overview
Topic 13 focuses on deep understanding of using the order of operations to evaluate, write, and interpret numerical expressions with grouping symbols.
Vertical Progression
4 Grade: The students use the distributive property to multiply whole numbers and solve multi-step problems involving operations with whole numbers.
th
6th Grade: The students will be able to extend their understanding of order of operations to include exponents. The students will be able to extend their
understanding of numerical expressions to evaluate, write, and interpret algebraic expressions.
Learning Goal
Essential Question
The students will be able to find the value of a given numerical expression.
How can a numerical expression be evaluated?
Topic 13 Scale
Textbook Correlation
Recommended Instructional Sequence
Essential Vocabulary
*Be selective in choosing problems aligned to the standards
Step 1: Problem-Based Learning “Solve and Share”
 braces
within the topic. Lessons and problems used for instruction
Problem-Based Learning Lesson Flow Map
 brackets
and assessment should be determined through collaborative
Conceptual understanding is developed when mathematics is
 evaluate
unit planning.
introduced in the context of solving a real problem in which
 numerical expression
ideas related to the new content are embedded. Conceptual
 order of operations
Topic 13: Write and Interpret Numerical Expressions
understanding results because the process of solving a problem
 parentheses
Lesson 13-1: Order of Operations
requires students to connect their prior knowledge with the new
Lesson 13-2: Evaluate Expressions
concept or procedure (Charles, R., Bay-Williams, J., et al., 2016).
Lesson 13-3: Write Numerical Expressions
Lesson 13-4: Interpret Numerical Expressions
Each lesson in the book begins with a Solve and Share. See the
Lesson 13-5: Math Practices and Problem Solving: Reasoning links below for additional tasks to be used as needed:
*See Additional Resources for resources to teach writing
operation words to describe a given numerical expression.
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.
Deconstructed Standards
MAFS.5.OA.1.1 (DOK 1) Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
 Use order of operations including parentheses, brackets, or braces.
 Evaluate expressions using the order of operations (including using parentheses, brackets, or braces.)
MAFS.5.OA.1.2 (DOK 1) Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For
example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921,
without having to calculate the indicated sum or product.
 Interpret numerical expressions without evaluating them.
 Write numerical expressions for given numbers with operation words.
 Write operations words to describe a given numerical expression.
Math Practice Standard(s)
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.2.1 Reason abstractly and quantitatively.
MAFS.K12.MP.4.1 Model with mathematics.
Additional Resources & Links
Higher Order Questions & Writing Connections
Georgia Units
Link to Webb’s DOK Guide
Unit 1 - Order of Operations and Whole Numbers
*Higher order questions should be utilized to foster a deep, conceptual
Trick Answers
understanding of the topic. Encouraging students to express their
Money for Chores
mathematical thinking in writing helps them solidify their learning.
Hogwarts House Cup
*NOTE: many lessons in Georgia Unit 1 pertain to this Topic.
 Why is it important to follow the order of operations?
EngageNY - Module 2
Topic B: Lesson 3
*Includes words to expressions and expressions to words
www.PearsonRealize.com:
Home School Connection
Reteach to Build Understand Pages
Professional Development Videos
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.
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What kind of real world situations might we use equations and
expressions to help us solve?
How is an equation different than an expression?
How do parentheses change the meaning and value of an
expression?
What happens to the value of an expression when the parenthesis
are moved or removed?
Create an expression in which the value remains the same whether
or not the parenthesis remain in the same location.
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 13-1 through 13-5