Strand: Number
General Outcome: Develop number sense.
9N1. Powers - Demonstrate an understanding of power with integral bases (excluding base 0) and whole number exponents by;
General Outcome: Develop number sense.
9N1. Powers - Demonstrate an understanding of power with integral bases (excluding base 0) and whole number exponents by;
- representing repeated multiplication, using powers
- using patterns to show that a power with an exponent of zero is equal to one
- solving problems involving powers
Achievement Indicators
- Demonstrate the differences between the exponent and the base by building models of a given power, such as 2^3 and 3^2.
- Explain, using repeated multiplication, the difference between two given powers in which the exponent and the base are interchanged; e.g. 10^3 and 3^10.
- Express a given power as a repeated multiplication.
- Express a given repeated multiplication as a power.
- Explain the role of parentheses in powers by evaluating a given set of powers; e.g. (-2)^4, (-2^4), and -2^4.
- Demonstrate, using patterns, that a^0 is equal to 1 for a given value of a (a cannot equal to zero).
- Evaluate powers with integral bases (excluding base 0) and whole number exponents.
Prerequisite skills needed from previous grades:
¨ I can identify the parts of a power (base, exponent, brackets) and their roles.
Understanding Exponents - (video)
Understanding Exponents 2 - (video)
Level 1 Exponents - (video)
Level 1 Exponents - (practice)
¨ I can write a repeated multiplication number sentence as a power.
Exponent Rules 1 (video)
¨ I can write a power as a repeated multiplication.
Powers and Exponents (instructional slides)
¨ I can evaluate a power with a positive or negative base.
Understanding Negative bases (instructional slides)
¨ I can show that a base with an exponent of zero is equal to one.
Positive and Zero Exponents (Khan Academy practice)
¨ I can solve problems involving powers.
Understanding Exponents - (video)
Understanding Exponents 2 - (video)
Level 1 Exponents - (video)
Level 1 Exponents - (practice)
¨ I can write a repeated multiplication number sentence as a power.
Exponent Rules 1 (video)
¨ I can write a power as a repeated multiplication.
Powers and Exponents (instructional slides)
¨ I can evaluate a power with a positive or negative base.
Understanding Negative bases (instructional slides)
¨ I can show that a base with an exponent of zero is equal to one.
Positive and Zero Exponents (Khan Academy practice)
¨ I can solve problems involving powers.