4MA.C.5 solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths and hundredths using part-whole strategies and visual models (4.NR.5)
5.a demonstrate and explain the concept of equivalent fractions with denominators of 10 and 100, using concrete materials and visual models; add two fractions with denominators of 10 and 100 (e.g., express 3/10 as 30/100 and add 3/10 + 4/100 = 34/100) (4.NR.5.1)
5.b represent, read, and write fractions with denominators of 10 or 100 using decimal notation; represent, read, and write decimal numbers to the hundredths place as fractions; use concrete materials and drawings to represent the relationship between fractions and decimal numbers (4.NR.5.2)
5.c compare two decimal numbers to the hundredths place by reasoning about their size; record the results of comparisons with the symbols >, =, or <, and justify the conclusions (4.NR.5.3)
5.d create a product, based on an authentic student topic of interest, to demonstrate an understanding of the relationship between fractions and decimals (Extension)
4MA.C.5 solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths and hundredths using part-whole strategies and visual models (4.NR.5)
Use money as a model
Show that:
1 dime = 10 cents = 1/10
1 penny = 1 cent = 1/100
30 cents = 30/100 = 3/10
Build fractions
Use:
Coins
Grids (10×10 hundreds charts)
Paper folded into tenths and hundredths
Talk through equivalence
Ask:
“How is 3/10 the same as 30/100?”
Practice adding fractions
Combine amounts like:
3/10 + 4/100
Convert to hundredths first and add.
(4.NR.5.2)
Label everyday decimals
Prices at the store (e.g., $1.25)
Battery levels (75%)
Say it three ways
Example:
0.75
75/100
seventy-five hundredths
Draw models
Shade tenths and hundredths on grid paper.
Write conversions together
0.4 = 4/10
0.36 = 36/100
Use real-world comparisons
Compare prices, measurements, or scores.
Ask “Which is greater?”
Example:
0.62 vs. 0.58
Use place-value thinking
Compare tenths first, then hundredths.
Use symbols
Practice writing:
0.62 > 0.58
Justify thinking
Encourage explanations using:
Words
Drawings
Place-value charts
(4.NR.5)
Cooking & measuring
Add and compare ingredient amounts.
Sports and hobbies
Track percentages or decimals (batting averages, completion rates).
Visual models
Use fraction bars, grids, or number lines to show thinking.
Part-whole reasoning
Ask:
“What part of the whole does this represent?”