Today, I will solve by comparing numbers in word problems that tell how many fewer or how many more objects are in a group .
Vocabulary
Teacher Resources
Compare Bigger Unknowns: “More” version word problem: Tommy has 3 more points than Jaden. Jaden has 2 points. How many points does Tommy have?
2+3=p Unknown
Solve for the unknown: 2+3=p p=5
Compare Bigger Unknowns: “Fewer” version word problem: There are 3 fewer watermelons than apples. There are 8 watermelons. How many apples are there?
8+3=w Unknown
Considerations: Students benefit from experiencing many ways to represent the unknown (empty box, letters, symbols, etc.). Problems in this lesson prepare students to work with “more” and “fewer” problems. Both will be needed in the following lessons.
Steps: 1. Listen carefully to the numbers in the word problem. 2. Use the numbers to write an equation using a symbol or letter to represent the unknown. 3. Solve for the unknown.
Application of MPs: MP1:
What math symbol did you use today?
MP2: How do you know your answers are correct? MP7: What steps helped you solve the problems?
HW 1. Check equations. All sums to 8 are correct. 2. Check equations. All sums to 7 are correct. 3. Check equations. All sums to 14 are correct. 4. Check equations. All sums to 11 are correct.
1. “More” version word problem: Tommy has 4 more points than Jaden. Jaden has 3 points. How many points does Tommy have?
State the objective: Today, I will use objects to solve comparing word problems where the bigger is unknown.
Model how to use 3 objects (representing Jaden’s 3 points) and 4 objects (representing Tommy’s 4 more points) to solve for Tommy’s total points. Jaden’s 3 points + Tommy’s 4 more points
Explain how to write this as an equation and solve for the unknown.
3+4= =7
Emphasize that if the two point totals are compared, Tommy has 7 points (objects) in all.
2. “Fewer” version word problem: There are 2 fewer watermelons than apples. There are 8 watermelons. How many apples are there?
State the objective: I will use objects to solve comparing word problems where the bigger is unknown.
Model how use 8 objects (representing the watermelons) and 2 objects (how many more apples are needed since there are 2 fewer watermelons). 8 watermelons + 2 more apples
Explain how to write this as an equation and solve for the unknown.
8+2=y y = 10
Emphasize that if the two totals are compared, there are 10 apples (objects) in all.
1. There are 6 fewer cars than trucks. There are 2 cars. How many trucks are there?
6+2=
=8
2. Teresa has 4 more dresses than Julie. Julie has 5 dresses. How many dresses does Teresa have?
5+4=x x=9
Recap today’s lesson with one or more of the following MP questions: MP2: What math symbol did you use today? MP6: How do you know your answers are correct? MP7: What steps did you use to solve the problem?
Name: ____________________________ Date: ______________________________ Directions: Review solving for two unknown addends. Record 4 equations for each problem. Draw pictures if needed.
1. There are 8 children in the pool. How many could be girls? How many could be boys?
2. Seven coins are on the table. How many could be heads-up? How many could be tails-up?
______ = _____ + ______
______ = _____ + ______
______ = _____ + ______
______ = _____ + ______
_____ + ______ = _____ + ______
_____ + ______ = _____ + ______
3. There are 14 lights in the house. How many could be turned on? How many could be turned off?
4. There are 11 plates and bowls in the kitchen sink. How many could be plates? How many could be bowls?