In Grade 4 enVision Mathematics, Chapter 6, Lesson 1, students learn how to solve comparison problems using both multiplication and addition, distinguishing between "times as many" and "more than" relationships. Students write and solve equations with variables, using bar diagrams to model comparisons such as finding a quantity that is 3 times as many as or 8 more than a given value. This lesson builds foundational skills for representing real-world multiplicative and additive comparisons with whole numbers.
Section 1
Identifying Additive and Multiplicative Comparisons
An additive comparison shows how much more or less one quantity is than another. It involves adding a difference to a smaller quantity to find a larger quantity.
A multiplicative comparison shows how many times as many one quantity is than another. It involves multiplying a smaller quantity by a factor to find a larger quantity.
Section 2
Writing Equations for Multiplicative Comparisons
A multiplicative comparison can be represented by the equation:
If we let be the larger quantity, be the smaller quantity, and be the multiplier, the general form is .
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Section 1
Identifying Additive and Multiplicative Comparisons
An additive comparison shows how much more or less one quantity is than another. It involves adding a difference to a smaller quantity to find a larger quantity.
A multiplicative comparison shows how many times as many one quantity is than another. It involves multiplying a smaller quantity by a factor to find a larger quantity.
Section 2
Writing Equations for Multiplicative Comparisons
A multiplicative comparison can be represented by the equation:
If we let be the larger quantity, be the smaller quantity, and be the multiplier, the general form is .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter