Version 2.0

B. Number Operations and Relationships

Grade 5

MPS Learning Target #1
(Grade 5) / MPS Learning Target #2
(Grade 5)
Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. / Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context.
Descriptors
Concepts: 1, 2, 3, 4, 5, 6,
Computation: 13, 14, 15, 16, 19, 20 / Descriptors
Concepts: 5, 6, 7, 8, 9, 10, 11, 12
Computation: 15, 17, 18, 19, 20
Wisconsin Sub-skill Descriptors (Beginning Grade 6)
Sub-skill B.a: Concepts
1) Recognize and apply place-value concepts to whole numbers less than 10,000,000.
2) Read, write, and represent numbers using words, numerals, pictures (base-ten blocks), number lines, arrays expanded forms (12,436=10,000+2,000+400+30+6), and symbolic reasoning e.g., 12,436=12,450-14.
3) Compare and order numbers less than 100,000 represented in numbers, arrays, symbols (<, >, =) and words.
4) Identify and use number theory concepts:
  • Prime and composite numbers
  • Divisibility potential of numbers (divisors1-10, 25)
  • Least common multiples through 24
  • Greatest common factors through 50

5) Read, write, and identify monetary amounts represented with visual models.
6) Compare and order monetary amounts.
7) Equate a monetary value with its benchmark fraction and percent. (E.g. $.25=1/4=25%)
8) Demonstrate basic understanding of proportionality in proportional contexts.
9) Read, write, identify, order, and compare mixed fractions.
10) Represent fractions using numbers, pictures, and number lines.
11) Rename improper fractions to mixed numbers in lowest terms.
12) Identify and represent equivalence between fractions, percents, and decimals.

Sub-skill B.b: Computation

13) Use all operations in everyday situations to solve single or multi-step word problems.
14) Solve three and four-digit addition and subtraction with regrouping, multiplication of three-digit by two-digit numbers, division with single-digit divisors and four-digit dividends with two-step or mixed operation problems.
15) Compute with decimals in the context of money and make change.
16) Solve problems using basic multiplication and division facts.
17) Rename improper fractions.
18) Add and subtract fractions with unlike denominators (halves, thirds, fourths, fifths, and tenths) with sums or differences between 0 and 1.
19) Estimate using basic whole number operations, benchmark fractions, and benchmark decimals.
20) Determine reasonableness of answers.

MPS Mathematics Learning Targets 2.0 (rev 8/1/06)

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.