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The purpose of this True or False? is to elicit strategies and understandings students have for making it easier to find the value of expressions by making a ten. These understandings help students deepen their understanding of the properties of operations and will be helpful later when students need to fluently add within 100.
Decide if each statement is true or false. Be prepared to explain your reasoning.
Number Line to 100 Recording Sheet
The purpose of this activity is for students to solve addition and subtraction problems within 100 with the unknown in all positions. Students write equations with a ? for the unknown and find the number that makes the equations true. The mathematical context of each problem encourages students to use the number line to reason about what is unknown and how they may represent the problem with an equation (MP2).
Solve each riddle to find the mystery number.
For each riddle:
Write an equation that represents the riddle. Write a ? for the unknown.
Represent the equation on the number line. Write the mystery number.
I started at 15 and jumped 17 to the right. Where did I end?
Equation: _______________________________
Mystery number: _______________________
I started at a number and jumped 20 to the left. I ended at 33. Where did I start?
Equation: _______________________________
Mystery number: _______________________
I started at 42 and ended at 80. How far did I jump?
Equation: _______________________________
Mystery number: _______________________
I started at 76 and jumped 27 to the left. Where did I end?
Equation: _______________________________
Mystery number: _______________________
I started at a number and jumped 19 to the right. I ended at 67. Where did I start?
Equation: _______________________________
Mystery number: _______________________
I started at 92 and ended at 33. How far did I jump?
Equation: _______________________________
Mystery number: _______________________
Number Line to 100 Recording Sheet
The purpose of this activity is for students to find the value of an unknown in addition and subtraction equations. Students can choose to find the unknown number using either operation and then represent their thinking on a number line. Listen for the ways students use the number line to make sense of the relationship between the numbers in each equation. Also listen for methods that show students are thinking about ways to use the structure of the number line and their understanding of place value (MP7).
Find the number that makes each equation true.
Show your thinking using a number line.
“Today you solved all different types of problems on the number line with the unknown in all different positions by using addition and subtraction. You used equations with a symbol for the unknown and found the number that made them true.”
Display and .
“How could I find the number that makes each of these equations true?” (For the addition equation, start at 24 and go to the left 14 on the number line. For the subtraction equation, start at 24 and go to the right 14.)
“How did the number line help with these types of equations?” (I could start with the result and jump in the opposite direction and land on the answer.)