enVision Mathematics Topic 7
5th Grade; November – December (5 weeks); 2nd Trimester
Embedded Files
Topic Title(s):
Use Equivalent Fractions to Add and Subtract Fractions
Prepared Graduates:
MP3. Construct viable arguments and critique the reasoning of others.
MP6. Attend to precision.
MP7. Look for and make use of structure.
Standard(s):
1. Number and Quantity
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.NF.A. Number & Operations—Fractions: Use equivalent fractions as a strategy to add and subtract fractions.
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = [ad + bc]/bd.) (CCSS: 5.NF.A.1)
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2. (CCSS: 5.NF.A.2)
Construct viable arguments about the addition and subtraction of fractions with reasoning rooted in the need for like-sized parts. (MP3)
Assess the reasonableness of fraction calculations by estimating results using benchmark fractions and number sense. (MP6)
Look for structure in the multiplicative relationship between unlike denominators when creating equivalent fractions. (MP7)
Inquiry Questions
It is useful to round decimals when estimating sums and differences of decimal numbers. What would “rounding fractions” look like when estimating sums and differences of fractions?
Why don’t we add or subtract the denominators when we are working with fractions?
Coherence Connections
This expectation represents major work of the grade.
In Grade 4, students add and subtract fractions and mixed numbers with like denominators, recognize and generate equivalent fractions, and compare fractions with different numerators and denominators.
In Grade 5, this expectation connects with multi-digit whole number operations, operations with decimals to hundredths, and representing and interpreting data.
In Grade 6, students reason about and solve one-variable equations and inequalities, and in Grade 7, apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Academic Vocabulary & Language Expectations:
Benchmark fraction, equivalent fractions, common denominator, mixed numbers
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topic 7
Additional enVision Mathematics Resources
Let's Investigate! Resale Mall Space (TE) (supports Lessons 7-2, 7-3)
Additional Math Games: Fraction Addition & Subtraction (additional materials and preparation may be required)
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
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