enVision Mathematics Topic 13
5th Grade; April (2 weeks); 3rd Trimester
Embedded Files
Topic Title(s):
Write and Interpret Numerical Expressions
Prepared Graduates:
MP7. Look for and make use of structure.
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):
5.OA.A. Operations & Algebraic Thinking: Write and interpret numerical expressions.
Use grouping symbols (parentheses, brackets, or braces) in numerical expressions, and evaluate expressions with these symbols. (CCSS: 5.OA.A.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. (CCSS: 5.OA.A.2)
Write expressions that represent mathematical relationships between quantities. (Entrepreneurial Skills: Literacy/Writing)
Look for structures and notation that make the order of operations clear when reading and writing mathematical expressions. (MP7)
Inquiry Questions
How can you describe the relationship between the value of 5 × (24562 + 951) and 24562 + 951 without making any calculations?
Suppose we use the letter a to represent a number. Can you determine the relationship between 4 × a and a without knowing the specific number a represents?
Coherence Connections
This expectation is in addition to the major work of the grade.
In Grade 5, this expectation connects with applying and extending previous understandings of multiplication and division.
In Grade 6, students compute fluently with multi-digit numbers, find common factors and multiples, and apply and extend previous understandings of arithmetic to algebraic expressions. In middle and high school, students develop fluency with algebraic expressions as mathematical objects that can be used in more complex mathematical operations.
Academic Vocabulary & Language Expectations:
Numerical expressions, evaluate, Order of Operations, parentheses, brackets, braces
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topic 13
Additional enVision Mathematics Resources
Let's Investigate! Different Expressions (TE) (supports Lessons 13-2, 13-3)
Additional Math Games: Numerical Expressions (additional materials and preparation may be required)
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention: None since this Unit Plan is in addition to the major work of the grade
Coherence Map/Concept Progressions: 5.OA.A.1
Advanced Differentiation:
Advanced students should also demonstrate mastery with the content in the following lessons to provide access to advanced mathematics courses in middle school:
enVision Mathematics Topic 17: Step Up to Grade 6
Lesson 17-4: Understand and Represent Exponents
Lesson 17-5: Understand Equations and Solutions
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