Grade 5 Unit 5

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Grade 5 Unit 5
Title: Everyday Math
Subject/Course: Math
Topic: Fractions, Decimals, and Percents
Designer: Deborah Redfield
Stage 1- Desired Results
Standards of Mathematical Practices (SMP)
SMP 1: Make sense of problems and persevere in solving them.
SMP 2: Reason abstractly and quantitatively.
SMP 3: Construct viable arguments and critique the reasoning of others.
SMP 4: Model with mathematics.
SMP 5: Use appropriate tools strategically.
SMP 6: Attend to precision.
SMP 7: Look for and make use of structure.
SMP 8: Look for and express regularity in repeated reasoning.
Standards for Mathematical Content
5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate
expressions with these symbols.
5.NBT.3. Read, write, and compare decimals to thousandths.
5.NBT.3a. Read and write decimals to thousandths using base-ten numerals, number
names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 ×
(1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.4. Use place value understanding to round decimals to any place.
5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete
models or drawings and strategies based on place value, properties of
operations, and/or the relationship between addition and subtraction; relate
the strategy to a written method and explain the reasoning used.
5.NF.1. 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.)
5.NF.2. 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.
5.NF.3. Interpret a fraction as division of the numerator by the denominator (a/b = a
÷ b). Solve word problems involving division of whole numbers leading to
answers in the form of fractions or mixed numbers, e.g., by using visual
fraction models or equations to represent the problem. For example, interpret
3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3,
and that when 3 wholes are shared equally among 4 people each person has a
share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by
weight, how many pounds of rice should each person get? Between what two
whole numbers does your answer lie?

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