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?
Finding the Unknown in a Division Equation, accessed on Oct. 10, 2018, 3:50 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by Fishtank Learning, Inc.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?
Finding the Unknown in a Division Equation, accessed on Oct. 10, 2018, 3:50 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by Fishtank Learning, Inc.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.?
With Fishtank Plus you can access our Daily Word Problem Practice and our content-aligned Fluency Activities created to help students strengthen their application and fluency skills.
View Preview