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In this section, students add and subtract decimals to the hundredths. They begin by adding and subtracting in ways that make sense to them, which prompts students to relate the operations to those on whole numbers. It also allows the teacher to take note of the strategies and algorithms they choose, including the standard algorithm and those that use expanded...
In this section, students use the relationship between multiplication and division and the idea of equal groups to make sense of division of decimals, just as they had done with whole numbers and fractions.
Students learned previously that the expression can mean finding how many are in one group if 8 is put into 2 equal groups, or it can...
In this section, students reason about decimals to the thousandths place. They begin by representing decimals on gridded area diagrams, where the large square has a value of 1, and each small square within represents . Students learn that if they partition each small square into tenths, each of those parts represents a thousandth of the large square.
The diagram...
In this section, students learn to multiply decimals. They continue to think in terms of place value, make connections with whole-number operations, and use diagrams to support their reasoning.
Students begin by multiplying a whole number and a decimal. To find , for instance, students shade 43 hundredths in each of two large squares, and see that the 86 shaded...