1.5 cubed root lesson plan.notebook
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1.5 cubed root lesson plan.notebook
September 26, 2013
Positive Numbers and the Number Line
Lesson 5: Cubes and Cube Roots
5­minute Warm Up
Learn Find the cube of a whole number
Guided Practice Learn Find a cube root of a perfect cube
Guided Practice Learn Evaluate numerical expressions that contain exponents
Guided Practice Brain @ Work
Chapter Wrap Up
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1.5 cubed root lesson plan.notebook
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Lesson objective: Find the cube of a number.
vocabulary: cube (of a number)
perfect cube
Warm­Up
Identify the perfect square and give a reason why it is or is not a perfect square?
64, 81, 98, 122, 169
Sep 26­11:00 AM
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1.5 cubed root lesson plan.notebook
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Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
Find the volume of a cube with the following side lengths
a) 5 cm
b) 0.3 m
1
_
c) 3 in.
2
Find the volume of a cube.
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1.5 cubed root lesson plan.notebook
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Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
Find the cube of a whole number.
identify the base and exponent
The number ___ is an example
of a perfect cube of a whole number
because ___ is the cube of ___.
What are some other example of perfect cubes?
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1.5 cubed root lesson plan.notebook
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Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
Find the cube of 5.
Find the cube of a whole number.
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1.5 cubed root lesson plan.notebook
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Guided practice: pg. 34: 1­3
Sep 20­1:56 PM
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1.5 cubed root lesson plan.notebook
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Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
Find a cube root of a perfect cube.
Prime Ladder method
64
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1.5 cubed root lesson plan.notebook
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Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
Find the cube root of 216. Find a cube root of a perfect cube.
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1.5 cubed root lesson plan.notebook
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Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
a) Find the value of 32 + 42.
b) Find the value of 72 × 22 + 33.
c) Find the value of 103 – 42 × 52.
Evaluate numerical expressions that contain exponents.
Order of Operations
Step 1 Evaluate exponents.
Step 2 Evaluate inside parentheses.
Step 3 Multiply and divide from left to right.
Step 4 Add and subtract from left to right.
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1.5 cubed root lesson plan.notebook
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Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
Evaluate numerical expressions that contain exponents.
32
×
53 + 92
392
×
53
125 +
Evaluate exponents.
81 Multiply and divide from left to right.
92
+ Add and subtract from left to right.
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Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
Mr. Henderson wants to tile his patio that is rectangular in shape. His patio measures 108 inches by 144 inches. Find the fewest square tiles he can use without cutting any of them. (Hint: First find the largest size tile he can use.)
Use the greatest common factor to solve problems.
Factors of Factors of 108
144
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1.5 cubed root lesson plan.notebook
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Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
Review positive number concepts.
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1.5 cubed root lesson plan.notebook
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Positive Numbers and the Number Line
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1.5 cubed root lesson plan.notebook
September 26, 2013
Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
Find the cube of 5.
Find the cube of a whole number.
5
5
5
53 = 125
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1.5 cubed root lesson plan.notebook
September 26, 2013
Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
Find the cube root of 216. Find a cube root of a perfect cube.
216 = 2 • 2 • 2 • 3 • 3 • 3
216 = (2 • 3) • (2 • 3) • (2 • 3)
216 = 6 • 6 • 6
216 = 63
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1.5 cubed root lesson plan.notebook
September 26, 2013
Positive Numbers and the Number Line
i
1.5 Cubes and Cube Roots
Evaluate numerical expressions that contain exponents.
32
×
53 + 92
9
×
125 +
Evaluate exponents.
81 Multiply and divide from left to right.
+ Add and subtract from left to right.
1,125
81
1,206
SA4
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1.5 cubed root lesson plan.notebook
September 26, 2013
Positive Numbers and the Number Line
i
1.5 Cubes and Cube Roots
Mr. Henderson wants to tile his patio that is rectangular in shape. His patio measures 108 inches by 144 inches. Find the fewest square tiles he can use without cutting any of them. (Hint: First find the largest size tile he can use.)
Use the greatest common factor to solve problems.
Factors of Factors of 108
144
108 = 2 • 54
108 = 3 • 36
108 = 4 • 27
108 = 6 • 18
108 = 9 • 12
144 = 2 • 72
144 = 3 • 48
144 = 4 • 36
144 = 6 • 24
144 = 8 • 18
144 = 9 • 16
144 = 12 • 12
Factors of 108: 2, 3, 4, 6, 9, 12, 18, 27, 36, 54
Factors of 144: 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72
Greatest common factor of 108 and 144: 36
Tile the floor with square tiles that are 36 in. x 36 in.
Tile floor will be 3 tiles wide by 4 tiles long. 3 • 4 = 12 Mr. Henderson should use 12 total tiles.
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1.5 cubed root lesson plan.notebook
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Positive Numbers and the Number Line
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1.5 Cubes and Cube Roots
Review positive number concepts.
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1.5 cubed root lesson plan.notebook
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Positive Numbers and the Number Line
Jul 12­10:23 AM
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Attachments
HowToG6.pdf
G6_C01_L05_TT.pdf