Grade 6 Math: Multiple Representations
Explore multiple representations of mathematical relationships including tables, graphs, and equations for sixth graders.
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Grade 6 Math: Multiple Representations
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Read each question carefully and follow the instructions to represent mathematical relationships in different ways.
1. The cost of renting a bicycle is $5 per hour. Complete the table below and write an equation to represent the relationship between the number of hours (h) and the total cost (c).
Number of Hours (h) | Total Cost (c)
--------------------|-----------------
1 | $5
2 | $
3 | $
4 | $
Equation:
2. Which table correctly represents the data shown in the graph below?
Time (min) | Points ----------|-------- 1 | 10 2 | 20 3 | 40 4 | 50
Time (min) | Points ----------|-------- 1 | 10 2 | 15 3 | 20 4 | 25
Time (min) | Points ----------|-------- 1 | 5 2 | 10 3 | 15 4 | 20
Time (min) | Points ----------|-------- 1 | 20 2 | 40 3 | 50 4 | 60
3. Represent the equation y = x + 3 on the number line. If x = 2, then y = . Mark this point on the number line.
4. The equation y = 2x + 1 represents the same relationship as the table below.
x | y
--|--
1 | 3
2 | 5
3 | 7
True
False
5. Plot the following points on the coordinate plane: (1, 4), (2, 5), (3, 6). Then, write an equation that represents this relationship.
Equation:
Match each relationship description to its correct representation.
1. The number of wheels on 'x' bicycles.
a. y = x + 5
2. The total amount of money if you have 'x' dollars and then earn $5.
b. y = 2x
3. The area of a square with side length 'x'.
c. y = x²