assignment_returnWorksheet:
Write And Interpret Numerical Expressions And Patterns
Standard(s): 5.OA.A.1
The rule for the following function is: "y is equal to x divided by 2."
Using this same function rule, what is the value of y when x is 50?
20
25
100
None of these
Standard: 5.OA.B.3
Domain: Operations & Algebraic Thinking
Theme: Analyze patterns and relationships
Description: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3" and the starting number 0, and given the rule "Add 6" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
The rule for the following function is: "y is equal to one less than the square of x." Use the table to respond to the following:
What is the y value when x is 4?
9
7
15
13
Standard: 5.OA.B.3
Domain: Operations & Algebraic Thinking
Theme: Analyze patterns and relationships
Description: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3" and the starting number 0, and given the rule "Add 6" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Abbottsville, a medium sized suburban community, has seen a steady increase in its population over the past 15 years. In 1995, the population was around 25,000. The population has increased at a rate of about 1,000 people per year since then. The graph below shows the trend described above. Use the graph to answer the following question:
If the trend continues as shown, what is the expected population of Abbottsville in 2015?
45,000
41,000
40,000
50,000
Standard: 5.OA.B.3
Domain: Operations & Algebraic Thinking
Theme: Analyze patterns and relationships
Description: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3" and the starting number 0, and given the rule "Add 6" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
The Wildcats, a local soccer team, were trying to increase the number of fans that attended their home games. The team used different promotions and advertising techniques to draw more fans to their games. The chart below shows the attendance at the first three games of the Wildcats' season. Use the chart to answer the following question:
Assuming this linear pattern was to continue, how many fans should be expected at the fourth home game?
2,500 fans
2,450 fans
2,550 fans
3,900 fans
Standard: 5.OA.B.3
Domain: Operations & Algebraic Thinking
Theme: Analyze patterns and relationships
Description: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3" and the starting number 0, and given the rule "Add 6" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
The rule for the following table is, "y equals 9 less than the triple of x."
When x = 16, what is the value of y?
y = 29
y = 41
y = 39
y = 37
