Solving Two-Step Algebraic Equations With Partitive and Quotative Division | Visual Math Talk

This set of visual math talk prompts is taken from the Math Talk section of Day 5 in the Make Math Moments Problem Based Unit called Planting Flowers Revisited (https://learn.makemathmoments.com/tas....

All Math Is Visual Math Talk Prompts are useful for introducing and/or reinforcing math concepts and skills to build fluency and flexibility with numbers and conceptualizing mathematics. While we suggest using these prompts at the beginning of a math lesson, they could be useful at any point during a math block as well as at home to strengthen (and excite) your child mathematically.

The purpose of the Math Talk is to reinforce key concepts and big ideas from this problem based math unit including:

There are two types of division;
Quotative division is when the total quota is known (the dividend), and the number per group or the rate (the divisor) is known;
Quotative division reveals the number of copies or iterations of a rate that can be derived from the overall quota (the dividend);
In quotative division, the dividend and the divisor have the same unit;
Partitive division is when the total quota is known (the dividend), and the number of parts or groups (the divisor) is known;
Partitive division reveals a rate;
In partitive division, the dividend and the divisor often have different units;
The dividend from any division sentence can be decomposed into smaller parts to allow for friendlier division by the divisor. This strategy is known as partial quotients. (i.e.: 85 ÷ 5 = 45 ÷ 5 + 40 ÷ 5 = 9 + 8 = 17);
Division is the inverse operation of multiplication;
Subtraction is the inverse operation of addition;
Variables are used to represent changing or unknown quantities;
When solving an equation where the coefficient of the unknown variable is not equal to 1, division is required to determine the value of the unknown variable and the context of the problem determines which type of division is required.
A two-step equation is an algebraic equation that takes you two steps to solve.

Notice the "PAUSE" prompts throughout which provide appropriate points to stop the video and give students time to think through their approaches using mathematical models as a means to see their strategies through.

To get the full breakdown of this Visual Math Talk Prompt Set, head to: https://mathisvisual.com/two-step-equ...

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https://learn.makemathmoments.com/tas...

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