Represent a Fraction Greater Than One on a Number Line
Which fractions are greater than 1?
a. 2/3
b. 1/2
c. 8/3
d. 6/4
e. 4/6
Which fractions are greater than 1?
a. 2/3
c. 8/3
d. 6/4
Fill in the correct fraction on the number line.
Check students boards.
How can you describe a pattern related to fractions equivalent to 1/2?
The numerator is always half the denominator when fractions are equivalent to 1/2.
True or false;
On a number line, if the numerator is smaller than the denominator, the fraction is greater than 1.
False, the numerator has to be greater than the denominator to be greater than 1 whole.
Which symbol makes this expression true?
3/4 _______ 2/4
Greater than symbol
What is the fraction represented on the number line?
Check student's number lines.
Amer cimes a rope in gym class. The rope is partitioned into 8 equal-length sections. He climbs to the fifth knot. What fraction of the rope does Amer climb?
5/8
Draw a model that shows a pair of equivalent fractions.
Check student's boards.
Is 3/4 equivalent to 5/6? Draw number lines to decide.
Check student's drawings; 3/4 is not equivalent to 5/6
True or false:
6/5 > 8/5
False, 6/5 is less than 8/5.
Naomi's goal is to walk her dog more than 1 mile each day. She walked 7/8 mile. She said she met her goal. Do you agree? Explain your answer.
Sample:
No, the numerator 7 is less than the denominator 8, so 7/8 is less than 1.
Fill in the blank with a vocabulary word.
A ______ is a number that represents one or more parts of a while that has been partitioned into equal parts.
A fraction is a number that represents one or more parts of a while that has been partitioned into equal parts.
The fractions 1/2 and 2/4 are equivalent. List two more fractions that are equivalent to 1/2.
3/6, 4/8, 5/10, 8/16, etc. These are all examples.
How many thirds are equivalent to 4/6?
Draw number lines to show the fractions.
4/6=2/3
Check number lines.
Which comparisons are true?
5/8 >3/8
3/6=4/7
1/2=1/4
7/8 < 9/8
5/8 >3/8
7/8 < 9/8
Alpesh bought a dresser that is 7/2 feet long. He wants to place the dresser along a wall that is 4 feet long. Will the dresser fit along the 4-foot wall? Draw a number line to justify your answer.
Yes.
Check number lines.
Bruk and Silas are running a race. Bruk has completed 1/2 of the race. Silas has completed 4/6 of the race. Show their positions on a number line. Who is winning?
Silas is closer to the finish line. Check number line.
Shreya folded a piece of paper into 4 equal parts and shaded 3 parts. Krisha folded her piece of paper into 8 equal parts. She shaded the same amount as Shreya. What equivalent fractions did they represent? Draw a model to justify your answer.
3/4=6/8
Check student's models.
Write equivalent or not equivalent. Use a model to justify the answers.
4/8, 1/2, 3/6 ________________
2/3, 4/6, 3/4 ________________
4/8, 1/2, 3/6 equivalent
2/3, 4/6, 3/4 not equivalent
Check students models.
How can you write > = < to make the comparisons true?
2/6 ___ 5/6
4/8 ___3/8
Shade the fraction model to justify your reasoning.
2/6 < 5/6
4/8 > 3/8
Check student's models.
Zoe's school is more than 1 mile and less than 2 miles from her house. What fraction could be the distance from Zoe's school to her house?
Look at the number line.
Choose all that apply.
a. 12/8
b. 5/8
c. 8/8
d. 7/8
e. 16/8
f. 10/8
Choose all that apply.
a. 12/8
f. 10/8
Maameyaa is painting all four sides of a shed. Each side of the shed is the same size. She placed Point A on the number line to represent the fraction of the shed that she has painted so far. What fraction of the shed has she painted?
Rodney partitions his bedroom wall into three equal parts. He paints 2/3 of the wall. Violet partitions her bedroom wall into 6 equal parts. She paints the same amount as Rodney. What fraction of the wall did she paint?
a. 2/6 of the wall
b. 3/6 of the wall
c. 4/6 of the wall
d. 6/6 of the wall
c. 4/6 of the wall
Draw a number line to show that 4/3 and 8/6 are equivalent fractions.
Check student's number lines.
Seth searches 3/4 of Field A for insects. He searches 3/8 of Field B. Both fields are the same size. Does he search more of Field A or Field B? Explain how you know.
Field A, the numerators are the same so the fraction with the lesser denominator is greater.
Check student's work.