4.2.F
The Standard
compare and order decimals using concrete and visual models to the hundredths
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students represent decimals through hundredths with hundred grids, base-ten blocks, or number lines. They compare two decimals and place several decimals in order by looking at tenths and hundredths.
What Mastery Looks Like
- Students use hundred grids or base-ten blocks to represent decimals through hundredths. They correctly use greater than, less than, and equal signs, then order several decimals and explain their reasoning by place value.
Common Misconceptions
- Students may think a decimal with more digits is always greater, so 0.45 seems greater than 0.5. They may also compare digits without checking place value or treat 0.4 and 0.40 as different amounts.
How to Assess It
- Give students hundred grids labeled 0.6, 0.36, and 0.63. Ask them to shade each model, order the decimals least to greatest, and explain one comparison.
Lesson moves
Ways to Teach It
Give pairs base-ten blocks, define a flat as one whole, and have them build and compare decimals drawn from cards.
Ask students to explain why 0.7 equals 0.70 and whether 0.68 is greater or less using a labeled hundred grid.
Play Decimal Line-Up by giving each student a decimal card and asking the class to arrange themselves from least to greatest.
Compare store prices such as $2.05, $2.50, and $2.15, then model each amount with play money and order them.
Keep exploring
Related Standards
- 4.2.E
represent decimals, including tenths and hundredths, using concrete and visual models and money
- 5.3.F
represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including...
- 5.2.B
compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =
- 5.3.D
represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models
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