Florida B.E.S.T. MA.5.NSO.1.3
The Standard
Compose and decompose multi-digit numbers with decimals to the thousandths in multiple ways using the values of the digits in each place. Demonstrate the compositions or decompositions using objects, drawings and expressions or equations.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students build a decimal from place-value parts and break it apart in more than one correct way. They show their thinking with objects, drawings, and equations, including regrouping across decimal places.
What Mastery Looks Like
- Given 28.406, a student can write 2 tens + 8 ones + 4 tenths + 6 thousandths. The student can regroup it as 28 ones + 406 thousandths and use a model to show both forms are equal.
Common Misconceptions
- Students may treat 4.307 as 4,307 or say the 3 represents three hundredths. They may drop the zero and write 4.37, or miss that 3 tenths equals 30 hundredths.
How to Assess It
- Exit ticket: Decompose 7.205 in two different ways. Show one way with a place-value drawing and the other with an equation, then explain what the zero tells you.
Lesson moves
Ways to Teach It
Give pairs place-value disks and a mat; have them build 34.207, trade one whole for ten tenths, and record both equations.
Ask, “How can 6.315 be decomposed in two different ways, and how do you know both forms have the same value?”
Play Decimal Exchange: students draw a decimal card, write three decompositions, and earn a point when a partner verifies each place value.
Show a gas price such as $3.479 per gallon; students represent it with a place-value drawing and two equivalent equations.
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