Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 2
2.
Solve It! On the canvas, show how to cut the three linked 1-squares into congruent pieces, each with size ¾.
3 points
3
Question 3
3.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 4
4.
Take Note: Write the expression below in exponent form.
10 points
10
Question 5
5.
Take Note: Write the expression below in radical form.
10 points
10
Question 6
6.
Take Note: Define principal root.
10 points
10
Question 7
7.
Problem 1 Got It?
10 points
10
Question 8
8.
Problem 1 Got It?
10 points
10
Question 9
9.
Problem 1 Got It?
3 points
3
Question 10
10.
Video Check: Select all that apply with regards to the video embedded directly above this item.
5 points
5
Question 11
11.
Problem 2 Got It? What is the expression in radical form?
5 points
5
Question 12
12.
Problem 2 Got It? What is the expression in radical form?
5 points
5
Question 13
13.
Problem 2 Got It? What is the expression in exponential form?
5 points
5
Question 14
14.
Problem 2 Got It? What is the expression in exponential form?
10 points
10
Question 15
15.
Problem 2 Got It?Reasoning: Refer to the definition of rational exponent.
Explain the need for the restriction that a ≠ 0 if m is negative.
(In other words, if m is negative, why can't a be zero?)
HINT: Can a fraction have a denominator that is equal to 0?
3 points
3
Question 16
16.
Video Check: Select all that apply with regards to the video embedded directly above this item.
8 points
8
Question 17
17.
Take Note: Use the properties of rational exponents to match equivalent expressions below.
Draggable item
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Corresponding Item
\sqrt[a]{b^{c}}
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\sqrt[3]{2}
x^{\frac{2}{3}}
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(2^{3})^{\frac{1}{2}}
x^{\frac{3}{2}}
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b^{\frac{c}{a}}
\sqrt[c]{b^{a}}
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(\sqrt[c]{b})^a
10 points
10
Question 18
18.
Problem 3 Got It? Planetary Motion: Use the function
where d is the distance from the planet to the sun in astronomical units (1 AU is about 93,000,000 miles, or the distance from Earth to the sun). About how many Earth years is a Venusian year if Venus is 0.72 AU from the sun?
10 points
10
Question 19
19.
Problem 3 Got It? Planetary Motion: Use the function
where d is the distance from the planet to the sun in astronomical units (1 AU is about 93,000,000 miles, or the distance from Earth to the sun). About how many Earth years is a Jovian year if Jupiter is 5.46 AU from the sun?
Take Note: Take a moment to add the properties of rational exponents to your notes.
12 points
12
Question 20
20.
Take Note: Use the properties of rational exponents to match equivalent expressions.
Draggable item
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Corresponding Item
(x^{a})^b
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x^{a+b}
b^{-x}
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\frac{1}{b^{x}}
\frac{a^{x}}{a^{y}}
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x^{a \cdot b}
x^{a}\cdot x^{b}
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a^{x-y}
(ab)^{x}
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a^{x}b^{x}
(\frac{a}{b})^{x}
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\frac{a^{x}}{b^{x}}
10 points
10
Question 21
21.
Take Note: Describe the process of simplifying radical expressions.
How do you know if you can simplify the expression in the first place?
What are the 2 steps for simplifying the expression?
10 points
10
Question 22
22.
Problem 4 Got It?
10 points
10
Question 23
23.
Problem 4 Got It?
10 points
10
Question 24
24.
Problem 4 Got It?
3 points
3
Question 25
25.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 26
26.
Take Note: How are methods 1 and 2 different in Problem 5A?
10 points
10
Question 27
27.
Problem 5 Got It?
10 points
10
Question 28
28.
Problem 5 Got It?
10 points
10
Question 29
29.
Problem 5 Got It?
3 points
3
Question 30
30.
Video Check: Select all that apply with regards to the video embedded directly above this item.
5 points
5
Question 31
31.
Take Note: Fill in the blank.
To write an expression with rational exponents in simplest form, write every exponent as a _______ number.
10 points
10
Question 32
32.
Problem 6 Got It?
10 points
10
Question 33
33.
Problem 6 Got It?
10 points
10
Question 34
34.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
