Algebra 1 1-3 Complete Lesson: Real Numbers and the Number Line

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Solve It! If the pattern continues, which will be the first figure to contain more than 200 square units? Explain your reasoning.

Each square has a side length that corresponds to the number of that figure. Therefore, the 10^th figure will be the first to contain more than 200 square units.

Each square has a side length that corresponds to the number of that figure. Therefore, the 15^th figure will be the first to contain more than 200 square units.

Each square has a side length that corresponds to the number of that figure. Therefore, the 201^st figure will be the first to contain more than 200 square units.

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Problem 1 Got It? What is the simplified form of the expression?

6

12

8

32

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Problem 1 Got It? What is the simplified form of the expression?

5

625

12.5

50

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Problem 1 Got It? What is the simplified form of the expression?

3/2

3/11

11/9

11/3

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Problem 2 Got It? What is the value of the expression to the nearest integer?

6

17

5

36

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Problem 3 Got It? To which subsets of the real numbers does the number belong?

Natural numbers, whole numbers, integers, and rational numbers

Rational numbers

Integers and rational numbers

Irrational numbers

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Problem 3 Got It? To which subsets of the real numbers does the number belong?

Irrational numbers

Integers and rational numbers

Rational numbers

Natural numbers, whole numbers, integers, and rational numbers

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Problem 3 Got It? To which subsets of the real numbers does the number belong?

Natural numbers, whole numbers, integers, and rational numbers

Whole numbers, integers, and rational numbers

Rational numbers

Irrational numbers

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Problem 3 Got It? To which subsets of the real numbers does the number belong?

Integers and rational numbers

Irrational numbers

Rational numbers

Natural numbers, whole numbers, integers, and rational numbers

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Problem 4 Got It? Fill in the circle to complete the inequality.

>

<

=

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Problem 4 Got It? Reasoning: In Problem 4, is there another inequality you can write that compares the two numbers? Explain.

Yes;

also compares the two numbers.

Yes;

also compares the two numbers.

No;

is the only inquality that compares the two numbers.

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Problem 5 Got It? Graph and label the following numbers on a number line.
Label units on the number line and be precise.

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Problem 5 Got It? Order the numbers from least to greatest.

A

B

C

D

10

A

B

C

D

10

A

B

C

D

10

A

B

C

D

10

A

B

C

D

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Vocabulary: What are the two subsets of the real numbers that together form the set of real numbers?

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Vocabulary: Give an example of a rational number that is not an integer.

24

\pi

0.5

17

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Reasoning: Is √100 rational or irrational? Explain.

Since √100 = 10, it is an irrational number.

Since √100 can not be simplified further, it is an irrational number.

Since √100 = 10, it is a rational number.

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Evaluate: Evaluate the expression for the given values of the variables.
Enter only a number.

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Evaluate: Evaluate the expression for the given values of the variables.
Enter only a number

10

Translate: Write an algebraic expression for the word phrase.
the sum of 14 and x

14 + x

14x

14/x

x - 14

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Simplify: Simplify the expression.
Enter only a number.

10

Simplify: Simplify the expression.
Enter only a number.

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Vocabular Review: Identify the numbers that are perfect squares.

1
12
16
100
121
200
256

Perfect squares

100

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Algebra 1 1-3 Complete Lesson: Real Numbers and the Number Line

Solve It! If the pattern continues, which will be the first figure to contain more than 200 square units? Explain your reasoning.

Problem 1 Got It? What is the simplified form of the expression?

Problem 1 Got It? What is the simplified form of the expression?

Problem 1 Got It? What is the simplified form of the expression?

Problem 2 Got It? What is the value of the expression to the nearest integer?

Problem 3 Got It? To which subsets of the real numbers does the number belong?

Problem 3 Got It? To which subsets of the real numbers does the number belong?

Problem 3 Got It? To which subsets of the real numbers does the number belong?

Problem 3 Got It? To which subsets of the real numbers does the number belong?

Problem 4 Got It? Fill in the circle to complete the inequality.

Problem 4 Got It? Reasoning: In Problem 4, is there another inequality you can write that compares the two numbers? Explain.

Problem 5 Got It? Graph and label the following numbers on a number line.Label units on the number line and be precise.

Problem 5 Got It? Order the numbers from least to greatest.

Vocabulary: What are the two subsets of the real numbers that together form the set of real numbers?

Vocabulary: Give an example of a rational number that is not an integer.

Reasoning: Is √100 rational or irrational? Explain.

Evaluate: Evaluate the expression for the given values of the variables.Enter only a number.

Evaluate: Evaluate the expression for the given values of the variables.Enter only a number

Translate: Write an algebraic expression for the word phrase.the sum of 14 and x

Simplify: Simplify the expression.Enter only a number.

Simplify: Simplify the expression.Enter only a number.

Vocabular Review: Identify the numbers that are perfect squares.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! If the pattern continues, which will be the first figure to contain more than 200 square units? Explain your reasoning.

Problem 1 Got It? What is the simplified form of the expression?

Problem 1 Got It? What is the simplified form of the expression?

Problem 1 Got It? What is the simplified form of the expression?

Problem 2 Got It? What is the value of the expression to the nearest integer?

Problem 3 Got It? To which subsets of the real numbers does the number belong?

Problem 3 Got It? To which subsets of the real numbers does the number belong?

Problem 3 Got It? To which subsets of the real numbers does the number belong?

Problem 3 Got It? To which subsets of the real numbers does the number belong?

Problem 4 Got It? Fill in the circle to complete the inequality.

Problem 4 Got It? Reasoning: In Problem 4, is there another inequality you can write that compares the two numbers? Explain.

Problem 5 Got It? Graph and label the following numbers on a number line.Label units on the number line and be precise.

Problem 5 Got It? Order the numbers from least to greatest.

Vocabulary: What are the two subsets of the real numbers that together form the set of real numbers?

Vocabulary: Give an example of a rational number that is not an integer.

Reasoning: Is √100 rational or irrational? Explain.

Evaluate: Evaluate the expression for the given values of the variables.Enter only a number.

Evaluate: Evaluate the expression for the given values of the variables.Enter only a number

Translate: Write an algebraic expression for the word phrase.the sum of 14 and x

Simplify: Simplify the expression.Enter only a number.

Simplify: Simplify the expression.Enter only a number.

Vocabular Review: Identify the numbers that are perfect squares.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Problem 5 Got It? Graph and label the following numbers on a number line.
Label units on the number line and be precise.

Evaluate: Evaluate the expression for the given values of the variables.
Enter only a number.

Evaluate: Evaluate the expression for the given values of the variables.
Enter only a number

Translate: Write an algebraic expression for the word phrase.
the sum of 14 and x

Simplify: Simplify the expression.
Enter only a number.

Simplify: Simplify the expression.
Enter only a number.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.

Problem 5 Got It? Graph and label the following numbers on a number line.
Label units on the number line and be precise.

Evaluate: Evaluate the expression for the given values of the variables.
Enter only a number.

Evaluate: Evaluate the expression for the given values of the variables.
Enter only a number

Translate: Write an algebraic expression for the word phrase.
the sum of 14 and x

Simplify: Simplify the expression.
Enter only a number.

Simplify: Simplify the expression.
Enter only a number.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.