B. Powers and Exponent
Laws
Math 9
Outcomes
N9.1
Demonstrate (concretely, pictorially, and symbolically)
understanding of powers with integral bases (excluding
base 0) and whole number exponents including:
representing using powers
evaluating powers
powers with an exponent of zero
solving situational questions.
Big Idea
Powers (exponents) are a
short hand way of writing
repeated multiplication.
They are the “E” in
BEDMAS.
Key Terms
1. What is a Power or
Exponent?
N9.1
Demonstrate (concretely, pictorially, and symbolically)
understanding of powers with integral bases (excluding
base 0) and whole number exponents including:
representing using powers
evaluating powers
powers with an exponent of zero
solving situational questions.
Example 1
Example 2
Example 3
Practice
Ex. 2.1 (p.55)
#1-14 oie, 15-17
Or
#4-6, 13-25
2. Powers of Ten and Exponent of
Zero
N9.1
Demonstrate (concretely, pictorially, and symbolically)
understanding of powers with integral bases (excluding
base 0) and whole number exponents including:
representing using powers
evaluating powers
powers with an exponent of zero
solving situational questions.
What do you think 100 will give you as result?
Example 1
Example 2
Example 3
Practice
Ex. 2.3 (p.61)
#1-13
Or
#4-15
3. Order of Operations with
Powers
N9.1
Demonstrate (concretely, pictorially, and symbolically)
understanding of powers with integral bases (excluding
base 0) and whole number exponents including:
representing using powers
evaluating powers
powers with an exponent of zero
solving situational questions.
BEDMAS
1. Brackets
2. Exponents
3. Division and multiplication (work left to right)
4. Adding and Subtracting (work left to right)
Example 1
Example 2
Example 3
Practice
Ex. 2.3 (p.66)
#3-5 oie, 6-8, 10-19
Or
#7, 8 odds, 10 odds, 11, 12, 14 odds, 15-26
4. Exponent Laws
N9.1
Demonstrate (concretely, pictorially, and symbolically)
understanding of powers with integral bases (excluding
base 0) and whole number exponents including:
representing using powers
evaluating powers
powers with an exponent of zero
solving situational questions.
When dividing powers that have the same base you
always want to subtract the smaller exponent from the
larger exponent and the result is left in the same
location of the higher power (numerator or
denominator)
Example 1
Example 2
Example 3
Practice
Ex. 2.4 (p.76)
#1,2, 4-5 oie, 8-16 oie with multiple questions
OR
#8-23 oie with multiple questions
5. Exponent Laws Continued
N9.1
Demonstrate (concretely, pictorially, and symbolically)
understanding of powers with integral bases (excluding
base 0) and whole number exponents including:
representing using powers
evaluating powers
powers with an exponent of zero
solving situational questions.
We can use the laws we learned last day to simplify
powers written in other forms.
Using the laws from last day how can you simplify the
power below.
Using the laws from last day how can you simplify the
power below.
Using the laws from last day how can you simplify the
power below.
Example 1
Example 2
Example 3
Practice
Ex. 2.5 (p.83)
#1,2,4-8, 10,11,14 odds, 15, 16 odds, 17 odds, 18 odds
Or
#4-8, 10,11,14 odds, 15, 16 odds, 17 odds, 18 odds, 20, 21