2017-2018 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
Coherence Map
4th Grade: The students use the distributive property to multiply whole numbers and solve multi-step problems involving operations with whole numbers.
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
Deconstructed Standards
MAFS.5.OA.1.1 (DOK 1) Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. [Conceptual
Understanding; Procedural Skill and Fluency]
• Use parentheses, brackets, or braces in numerical expressions containing whole numbers and up to one fraction.
• Evaluate expressions containing whole numbers and up to one fraction 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. [Conceptual Understanding]
• Interpret numerical expressions containing whole numbers and fractions without evaluating them.
• Write numerical expressions containing whole numbers and fractions for given numbers with operation words.
• Write operations words to describe a given numerical expression containing whole numbers and fractions.
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.
Suggested Learning Progression
The following learning progression provides students with an opportunity to
construct meaning and create connections through the CRA Method: Concrete
– Representational – Abstract.
*Collaborative teams should be selective in choosing standards-aligned tasks
for instruction and assessment. Teams may adjust the sequence and use
additional resources based on the needs of their students.
Topic 13: Write and Interpret Numerical Expressions
Lesson 13-1: Order of Operations (OA.1.1)
• Additional Resource: Georgia Units - Unit 1: Trick Answers
Lesson 13-2: Evaluate Expressions (OA.1.1)
Lesson 13-3: Write Numerical Expressions (OA.1.1 & OA.1.2)
• Additional Resources:
• Georgia Units - Unit 1:, Money for Chores, Hogwarts House Cup
• i-Ready Lesson (Algebra & Algebraic Thinking): Write and Evaluate
Expressions
• EngageNY - Module 2, Topic B: Lesson 3 (includes expressing words
as expressions and expressions as words)
Lesson 13-4: Interpret Numerical Expressions (OA.1.2)
Lesson 13-5: Math Practices and Problem Solving: Reasoning (OA.1.1)
Recommended Instructional Sequence
This instructional sequence is intended to provide a framework for student
learning. Various options are listed below each step in the sequence.
Collaborative teams may adjust the sequence as necessary to meet the
needs of their students.
Step 1: 5-Minute Spiral Review
• Pearson Daily Review
• Common Misunderstandings or Errors
Step 2: Problem-Based Learning
• Solve and Share
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Math Formative Assessment System (MFAS) Tasks by Standard
• Illustrative Mathematics Tasks by Standard
Step 3: Focus Lesson & Opportunities for Practice
• Visual Learning Bridge
• Guided Practice
• Thinking Map/Graphic Organizer
• Collaborative work
• Interactive Notebook
• Independent Practice
• Whole Group i-Ready Lesson
• Task Oriented Instruction
(additional opportunities for PBL)
Step 4: Differentiated Instruction
• Small group instruction
• Guided Practice
• Centers/stations (including i• Intervention/Enrichment
Ready)
Step 5: Student Debrief
• Thinking Map/Graphic Organizer
• Reflection
o So what? What did you
• Exit Ticket
learn?
• Interactive Notebook
o So why? Why is it
important?
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Higher Order Questions & Writing Connections
Link to Webb’s DOK Guide
*Higher order questions should be utilized to foster a deep, conceptual
understanding of the topic. Encouraging students to express their
mathematical thinking in writing helps them solidify their learning.
Why is it important to follow the order of operations?
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?
Create an expression in which the value remains the same whether or
not the parenthesis remain in the same location.
Professional Development
Marzano Proficiency Scales Bank
Common Core Flip Books: Provides additional
information and sample problems for every standard
FSA Test Item Specifications
Pearson enVisionMath2.0
Home-School Connection Page
Reteaching Pages
Daily Review
Resources
Florida Interim Assessment Item Bank and Test Platform
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.
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Essential Vocabulary
braces
brackets
evaluate
numerical expression
order of operations
parentheses