[C, CN, PS, R, T]
(a) |
Demonstrate the difference between the exponent and base of a power by representing two powers with exponent and base interchanged (e.g., and or and ) using repeated multiplication or concrete models and describe the result. |
(b) |
Predict which of two powers represents the greater quantity, explain the reasoning, and verify using technology. |
(c) |
Analyze the role of brackets in powers by using repeated multiplication [e.g., , , and ] and generalize strategies for evaluating powers involving brackets. |
(d) |
Justify why , must equal to 1. |
(e) |
Predict whether the value of a given power will be positive or negative (e.g., what will the sign of be?). |
(f) |
Evaluate powers with integral bases (excluding base 0) and whole number exponents, with or without the use of technology. |
(g) |
Generalize, using repeated multiplication to represent powers, the exponent laws of powers with integral bases (excluding base 0) and whole number exponents: |
(h) |
Apply the exponent laws to expressions involving powers, and determine the quantity represented by the expression, with or without the use of technology. |
(i) |
Prove by contradiction that , , and |
(j) |
Describe and apply strategies for evaluating sums or differences of powers. |
(k) |
Analyze a simplification of an expression involving powers for errors. |