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Understanding Decimals and Money Values in Fifth Grade Mathematics, Summaries of Mathematics

The fifth-grade mathematics standard 5.nbt.a.1 focusing on the concepts of base-10 place value system, decimal notation, decimal computation, and money values. Students will learn about multiplication, addition, and equal shares using manipulatives, number lines, and tables. Key concepts include understanding the value of tenths, money notation, and the relationship between decimals and fractions.

Typology: Summaries

2021/2022

Uploaded on 09/12/2022

anoushka
anoushka 🇺🇸

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Domain(s)
Number and Operations in Base Ten
Standard(s)
5.NBT.A.1
Mathematical Practices
MP.1 MP.2 MP.3 MP.4 MP.5 MP.6
Grade 5 – Dimes and Dollars
Major Underlying Mathematical Concepts
Base-10 place value system
Multiplication
Decimal notation
Decimal computation
Money values
Problem Solving Strategies
Model (manipulatives)
Diagram/Key
Number line
Table
Formal Mathematical Language and Symbolic Notation
Model
Diagram/Key
Number line
Table
Decimal
0.90, 0.20
Place value: Ones, tenths
Money notation ($, .)
$0.10, $9.00
Dime, dollar, quarter, nickel, cent, half dollar
Equal share
Rules: 0.10n = n/10, n/10 = 10 · n
Whole
Percent (%)
1/2, half
Digit
Multiplication/product
Addition/Sum
Total/Amount
Greater than (>)/Less than (<)
Page 1
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Domain(s) Number and Operations in Base Ten Standard(s) 5.NBT.A. Mathematical Practices MP.1 MP.2 MP.3 MP.4 MP.5 MP.

Grade 5 – Dimes and Dollars

Major Underlying Mathematical Concepts Base-10 place value system Multiplication Decimal notation Decimal computation Money values Problem Solving Strategies Model (manipulatives) Diagram/Key Number line Table Formal Mathematical Language and Symbolic Notation Model Diagram/Key Number line Table Decimal 0.90, 0. Place value: Ones, tenths Money notation ($, .) $0.10, $9. Dime, dollar, quarter, nickel, cent, half dollar Equal share Rules: 0.10n = n/10, n/10 = 10 · n Whole Percent (%) 1/2, half Digit Multiplication/product Addition/Sum Total/Amount Greater than (>)/Less than (<) Page 1

Possible Solution(s) Abigail is correct. Possible Connections Below are some examples of mathematical connections. Your students may discover some that are not on this list. Rules: 0.10n = n/10, n/10 = 10 · n The value of the tenths place must be > 0. If you are notating whole dollars, you must have a digit to the left of the decimal. A dime is 10% of a dollar. 1/2 a dollar is $0.50 or a half-dollar. 1/4 a dollar is $0.25 or a quarter. An equal share would be $1.50 each. $3.00 = 300 cents = 60 nickels = 30 dimes = 12 quarters = 6 half dollars. Relate to a similar task and state a math link. Page 2