Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s³ and A = 6 s² to find the volume and surface area of a cube with sides of length s = 1/2.
Different students are evaluating two expressions, and . Analyze their work, describe the errors made, and then evaluate each expression correctly.
Noah’s work
Mai’s work
corrected work
Evaluate when is 6.
30
7,776
Evaluate when is 2.
36
324
Here are three functions. For each function:
Complete the table of values.
Sketch a graph.
Decide whether each function is linear, quadratic, or exponential, and be prepared to explain how you know.
-1
0
1
2
3
5
-1
0
1
2
3
5
-1
0
1
2
3
5
4.3
Activity
Standards Alignment
Building On
6.EE.2.c
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s³ and A = 6 s² to find the volume and surface area of a cube with sides of length s = 1/2.
For each row, you and your partner will each evaluate an expression. You should each get the same answer in each row. If you disagree, work to reach an agreement.
row
Partner A
Partner B
1
when is 3
when is 4
2
when is 9
when is 5
3
when is 0
when is 3
4
when is 4
when is 3
5
when is 7
when is 5
6
when is 4
when is 10
7
when is 6
when is 3
8
when is
when is -1
9
when is -4
when is
10
when is 3
when is -3
None
Standards Alignment
Building On
Addressing
6.EE.1
Write and evaluate numerical expressions involving whole-number exponents.
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.