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In this section, students learn the conventions of rounding whole numbers to the nearest multiple of 10 or multiple of 100. This work relies on and reinforces their understanding of place value. Number-line diagrams are used to help students think about the multiple of 10 or multiple of 100 to which a given number is closest.
Students learn that when...
In this section, students analyze and use subtraction algorithms. They begin by using base-ten blocks and diagrams to subtract numbers. It is difficult to record regrouping with drawings, but students see algorithms as a helpful way to find differences.
As is the case with addition, students first make sense of a subtraction algorithm that uses expanded form, which allows them...
Students begin this section by revisiting the idea of place value, reasoning about different ways to decompose numbers within 1,000, and using familiar strategies from grade 2 to add and subtract within 1,000.
From there, they progress toward more abstract addition strategies, but those that are still based on place value. To support this progression toward algorithms, students use base-ten...
In this section, students encounter more complex problems, think about the reasonableness of their answers, and use rounding to make estimates.
Students analyze tape diagrams that could represent the relationships in given situations and write corresponding equations to represent them. Previously, they worked with diagrams and equations with a ? or ___ to represent an unknown. Now, students interpret and...