standard_description: Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = �� ÷ 3, 6 × 6 = ?.
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.
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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