standard_description: Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.
problem_activity: Problem 1
Three students are partitioning a number line into fourths. Their work is shown.
Chadwick’s number line:
[IMG]
Allan's number line:
[IMG]
Dobrilla's number line:
[IMG]
Whose partitioning makes the most sense to you? Explain your reasoning.
Problem 2
a.
{"table": [{"_attributes": {"class": ["table"], "style": "width: 100%;"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "width:40%"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{3}{4}$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{6}{4}$$"}], "_values": ["Locate and label", "and", "."]}, {"img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/kQe2ZUaTBYoyNxM10w8iGO_7BJFW5.png"}}]}]}]}]}]}
b.
{"table": [{"_attributes": {"class": ["table"], "style": "width: 100%;"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "width:40%"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{7}{8}$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{12}{8}$$"}], "_values": ["Locate and label", "and", "."]}, {"img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/kQe2ZUaTBYoyNxM10w8iGO_7BJFW5.png"}}]}]}]}]}]}
c.
{"table": [{"_attributes": {"class": ["table"], "style": "width: 100%;"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "width:40%"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{2}{3}$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{4}{3}$$"}], "_values": ["Locate and label", "and", "."]}, {"img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/kQe2ZUaTBYoyNxM10w8iGO_7BJFW5.png"}}]}]}]}]}]}
d.
{"table": [{"_attributes": {"class": ["table"], "style": "width: 100%;"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "width:40%"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{2}{6}$$"}, {"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{7}{6}$$"}], "_values": ["Locate and label", "and", "."]}, {"img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/3oblwjHOuDBzsytcrLOy5H_XO8XTR.png"}}]}]}]}]}]}
e.   How did you partition the number line when you were locating the numbers
$$\frac{7}{8}$$
and
$$\frac{12}{8}$$
? Explain your reasoning.
f.   What patterns did you notice in the fractions you located?
Problem 3
Locate and label a point on the number line for
$$\frac{7}{3}$$
. Be as exact as possible.
[IMG]


aligns: no