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In this section, students solve problems that require multiplying fractions by whole numbers and adding and subtracting fractions with the same denominator.
They apply the reasoning strategies developed in the course and their understanding of fractions and equivalence to compare fractions, add and subtract whole numbers and fractions (including mixed numbers), and find sums and differences of tenths and hundredths....
In this section, students practice solving real-world problems using multiplication and division. Throughout the section, students reason with mathematics in different ways. They look for ways to compare quantities, using addition or multiplication. They make estimates to simplify a problem or to assess the reasonableness of a statement or a value before and after performing calculations. They also continue to...
In this section, students deepen their understanding of place value and build their fluency in performing operations on multi-digit numbers.
Students begin by practicing the standard algorithm for addition and subtraction. They also attend to potential errors in using the algorithm, particularly when it is necessary to decompose or compose a base-ten unit multiple times, as is the case when...
Throughout the course, students have engaged in Warm-up routines such as How Many Do You See?, Exploration Estimation, Which Three Go Together?, True or False, and Number Talk. This section enables them to apply the mathematics they have learned to design warm-ups that incorporate some of these routines.
Each lesson is devoted to a particular...