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Determine the unknown whole number in a multiplication or division equation relating three whole numbers, including equations with a letter standing for the unknown quantity.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 4 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.
Write all of the multiplication and division equations you can think of that represent the following array.
Tehya and Kenneth are trying to figure out which number could be placed in the box to make this equation true.
Tehya insists that 50 is the only number that will make this equation true.
Kenneth insists that 2 is the only number that will make this equation true.
$$10 \div \space ? = 5$$
Who is right? Why?
Now, Tehya and Kenneth are trying to figure out which number could be placed in the box to make this next equation true.
Tehya insists that 20 is the only number that will make this equation true.
Kenneth insists that 5 is the only number that will make this equation true.
$$2 = \square \div 10$$
Who is right? Why?
Instead of a question mark or a box, we can use a letter to represent the unknown quantity. For example, the equation in Anchor Task #3 could have been written as $$ 2 = a \div 10$$, with $$a$$ standing in for the unknown.
Knowing that, determine the values of the unknowns that make each equation below true.
a. $$c\times 3=24$$
b. $$5=50 \div g$$
c. $$w \div 3=6$$
d. $$24=4\times r$$
e. $$15 \div g=3$$
f. $$8= w \div 2$$
Find the value of each unknown below.
1. $$z = 5 \times 9$$
$$z$$ = _____
2. $$20\div v = 5$$
$$v$$ = _____
3. $$3 \times w = 24$$
$$w$$ = _____
4. $$7 = y\div 4$$
$$y$$ = _____
Grade 3 Mathematics > Module 3 > Topic A > Lesson 3 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..Modified by Fishtank Learning, Inc.
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