Maryland Math 5.NOS.B.7.e
The Standard
- 5.NOS.B.7
- Apply and extend previous understanding of multiplication and division of whole numbers to multiply and divide decimals to hundredths in context.
Represent and explain the computation by connecting concrete models, drawings, and/or equations to the meaning of multiplication and division.
Maryland College and Career Ready Standards for Mathematics (2025) · PERFORM OPERATIONS ON MULTI-DIGIT WHOLE NUMBERS AND WITH DECIMALS TO HUNDREDTHS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use objects or drawings to show what happens when numbers are multiplied or divided. They write a matching equation and explain what each number represents, including tenths and hundredths.
What Mastery Looks Like
- A student can shade a hundred grid to show 0.4 × 0.3 = 0.12 and explain why the overlap is 12 hundredths. They can draw four groups of 0.6 to show 2.4 ÷ 0.6 = 4.
Common Misconceptions
- Students may count the overlap in a hundred grid as 12 tenths instead of 12 hundredths. They may draw groups of 0.6 in 2.4 but write the division equation backward.
How to Assess It
- Exit ticket: Draw 1.2 as 12 tenths, circle groups of 0.3, then write an equation and explain what the answer counts.
Lesson moves
Ways to Teach It
Give students 12 tenth rods to arrange in groups of three, then have them write 1.2 ÷ 0.3 = 4.
Show a hundred grid with 0.4 shaded one way and 0.3 the other; ask why the overlap shows 0.12.
Have pairs match equation cards to sketches for 0.4 × 0.3, 0.2 × 0.5, 1.2 ÷ 0.3, and 2.4 ÷ 0.6.
Ask students to split a $1.20 snack bill among three friends using coins, then draw the shares and write an equation.
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Related Standards
- 4.NOS.B.5.d
Represent and explain the computation by connecting rectangular arrays, area models, and/or equations to the meaning of multiplication.
- 5.NOS.B.5.d
Represent and explain the computation by connecting rectangular arrays, area models, and/or equations to the meaning of division.
- 4.NOS.B.6.d
Represent and explain the computation by connecting rectangular arrays, area models, and/or equations to the meaning of division.
- 6.NOS.A.1.c
Represent and explain the calculation by connecting fraction models, and/or equations to the meaning of division.
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