The purpose of this True or False is to revisit equivalent fractions in tenths and hundredths. The reasoning students do here will be helpful later when students make sense of and identify decimals that are equivalent to given fractions or given decimals.
Launch
Display one statement.
“Give me a signal when you know whether the statement is true and can explain how you know.”
1 minute: quiet think time
Teacher Instructions
Share and record answers and strategy.
Repeat with each statement.
Student Task
Decide whether each statement is true or false. Explain your reasoning.
10050=105
1020=10020
2=1+10090
3101=1031
Sample Response
Sample responses:
True, because 50 hundredths and 5 tenths are both 21.
False, because 1020 is 2 and 10020 is less than 1.
False, because 1+10090 is 110090, which is less than 2.
True, because 3+101 is 1030+101, which is equal to 1031.
Activity Synthesis (Teacher Notes)
“What do you know about the relationship between tenths and hundredths that helped you decide whether each statement is true or false?” (One tenth is 10 hundredths and one tenth is 10 times 1 hundredth. There are 10 tenths in 1 whole and 100 hundredths in 1 whole. If we multiply the numerator and denominator of a fraction in tenths by 10, we get an equivalent fraction in hundredths.)
Standards
Addressing
4.NF.5·Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.
4.NF.C.5·Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.<span>Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade.</span> <span>For example, express <span class="math">\(3/10\)</span> as <span class="math">\(30/100\)</span>, and add <span class="math">\(3/10 + 4/100 = 34/100\)</span>.</span>
15 min
20 min
Knowledge Components
All skills for this lesson
No KCs tagged for this lesson
Equivalent Decimals
10 min
Narrative
The purpose of this True or False is to revisit equivalent fractions in tenths and hundredths. The reasoning students do here will be helpful later when students make sense of and identify decimals that are equivalent to given fractions or given decimals.
Launch
Display one statement.
“Give me a signal when you know whether the statement is true and can explain how you know.”
1 minute: quiet think time
Teacher Instructions
Share and record answers and strategy.
Repeat with each statement.
Student Task
Decide whether each statement is true or false. Explain your reasoning.
10050=105
1020=10020
2=1+10090
3101=1031
Sample Response
Sample responses:
True, because 50 hundredths and 5 tenths are both 21.
False, because 1020 is 2 and 10020 is less than 1.
False, because 1+10090 is 110090, which is less than 2.
True, because 3+101 is 1030+101, which is equal to 1031.
Activity Synthesis (Teacher Notes)
“What do you know about the relationship between tenths and hundredths that helped you decide whether each statement is true or false?” (One tenth is 10 hundredths and one tenth is 10 times 1 hundredth. There are 10 tenths in 1 whole and 100 hundredths in 1 whole. If we multiply the numerator and denominator of a fraction in tenths by 10, we get an equivalent fraction in hundredths.)
Standards
Addressing
4.NF.5·Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.
4.NF.C.5·Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.<span>Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade.</span> <span>For example, express <span class="math">\(3/10\)</span> as <span class="math">\(30/100\)</span>, and add <span class="math">\(3/10 + 4/100 = 34/100\)</span>.</span>