1. Activating Prior Knowledge
M7:LSN13
Comparing Irrational Numbers
Activating Prior Knowledge
Which is greater? (calculator allowed)
1. √2 or or √7 or ∛8
Tie to LO

2. Learning Objective
Students use finite decimal approximations of irrational numbers to compare the size of irrational numbers.
Students place irrational numbers in their approximate locations on a number line.
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3. Exploratory Challenge – Exercise 1
M7:LSN13
Comparing Irrational Numbers
Concept Development
Exploratory Challenge – Exercise 1
Rodney thinks that is greater than Sam thinks that is greater. Who is right and why?
What strategy might you use to figure this out?
Now do the work:
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4. End CFU Skilled Development/Guided Practice
M7:LSN13
Comparing Irrational Numbers
Skilled Development/Guided Practice
Exploratory Challenge – Exercises 2-11
In your table groups, please complete exercises 2-11 and be prepared to share your work with the class. You have 15 minutes!
15 minutes
End
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5. CFU Skilled Development/Guided Practice
M7:LSN13
Comparing Irrational Numbers
Skilled Development/Guided Practice
Exploratory Challenge – Exercises 2-3
Which number is smaller, or 2.89? Explain.
Which number is smaller, or ? Explain.
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6. CFU Skilled Development/Guided Practice
M7:LSN13
Comparing Irrational Numbers
Skilled Development/Guided Practice
Exploratory Challenge – Exercises 4-5
Which number is smaller, or ? Explain.
Which number is greater, or ? Explain.
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7. CFU Skilled Development/Guided Practice
M7:LSN13
Comparing Irrational Numbers
Skilled Development/Guided Practice
Exploratory Challenge – Exercises 6-7
Which number is greater, or 0.4? Explain.
Which number is smaller, or ? Explain.
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8. CFU Skilled Development/Guided Practice
M7:LSN13
Comparing Irrational Numbers
Skilled Development/Guided Practice
Exploratory Challenge – Exercises 8-9
Which number is greater, 2 or ? Explain.
Place each of the following numbers on a number line: 25, , 30 , 32 , and 36 ?
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9. CFU Skilled Development/Guided Practice
M7:LSN13
Comparing Irrational Numbers
Skilled Development/Guided Practice
Exploratory Challenge – Exercise 10
Challenge: Which number is larger, 5 or 3 11 ? Explain.
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10. CFU Skilled Development/Guided Practice
M7:LSN13
Comparing Irrational Numbers
Skilled Development/Guided Practice
Exploratory Challenge – Exercise 11
A certain chessboard is being designed so that each square has an area of 3 in2. What is the length of one edge of the board rounded to the tenths place? (A chessboard is composed of 64 squares as shown.)
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11. Concept Development - Notes
M7:LSN13
Comparing Irrational Numbers
Concept Development - Notes
How do we know if a number is rational or irrational?
Numbers that can be expressed as a fraction are by definition, rational numbers. Any number that is not rational is irrational.
Is the number rational or irrational? Explain.
The number is rational because it is equal to
Is the number 2 rational or irrational? Explain.
Since 2 is not a perfect square, then 2 is an irrational number. This means that the decimal expansion can only be approximated by rational numbers.
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12. Closure Homework – Module 7 page 70 Problem Set #1-7 CFU
What did we learn today?
Why is it important to you?
3. Which strategy do you use to write the decimal expansion of a fraction?
4. What strategy do you use to write the decimal expansion of square and cube roots?
Homework – Module 7 page 70 Problem Set #1-7
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