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Algebra 2 8-4 Complete Lesson: Rational Expressions

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Posljednje ažuriranje over 4 years ago
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A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

Solve It! Solution and Explanation

5
A.APR.7
A.SSE.1.a
A.SSE.2
10
A.APR.7
A.SSE.1.a
A.SSE.2
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A.SSE.1.a
A.SSE.1.b
A.SSE.2
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A.SSE.1.a
A.SSE.1.b
A.SSE.2
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F.BF.5
5
F.BF.5
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N.RN.2
10
10
10
10
10
A.APR.7
100
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A.APR.7
A.SSE.1.a
…
10
Pitanje 1
1.

Problem 1 Got It?

A.SSE.1.a
A.SSE.1.b
A.SSE.2
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Pitanje 2
2.

Problem 1 Got It?

A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
Pitanje 3
3.

Problem 1 Got It?

A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
Pitanje 4
4.

Problem 2 Got It?

A.APR.7
A.SSE.1.a
…
10
Pitanje 5
5.

Problem 3 Got It?

A.APR.7
A.SSE.1.a
…
10
Pitanje 6
6.

Problem 3 Got It?

A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
Pitanje 7
7.

Problem 4 Got It? Construction: Which shape of play space provides for a more efficient use of fencing, a square or an equilateral triangle?

Hint: The area of an equilateral triangle in terms of one side is:

The perimeter of an equilateral triangle is 3s.

A.SSE.1.a
A.SSE.2
10
Pitanje 8
8.

Simplify the rational expression.

State any restrictions on the variable.

A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
Pitanje 9
9.

Simplify the rational expression.

State any restrictions on the variable.

A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
Pitanje 10
10.

Multiply the expressions.

State any restrictions on the variable.

A.APR.7
A.SSE.1.a
…
10
Pitanje 11
11.

Divide the expressions.

State any restrictions on the variable.

A.APR.7
A.SSE.1.a
…
Pitanje 12
12.

Vocabulary: Is the equation in simplest form?

Pitanje 14
14.

Error Analysis: A student claims that x = 2 is the only solution of the equation.

Is the student correct? Explain.

10
Pitanje 15
15.

Reasoning: The area of the rectangle shown is displayed inside the rectangle. The width of the rectangle is represented here.

Write an expression for the length of the rectangle in simplest form.

A.APR.7
A.SSE.1.a
…
Pitanje 16
16.

Review Lesson 8-3: Categorize the vertical asymptotes and holes in the left column based on which function's graph they describe.

  • no holes

  • hole at x = 4

  • hole at x = 3

  • no vertical asymptotes

  • vertical asymptote: x = -1

  • vertical asymptote: x = -3

  • vertical asymptote: x = -2/3

Pitanje 17
17.

Review Lesson 7-3: Evaluate the logarithm.

Enter only a number.

Pitanje 18
18.

Review Lesson 7-3: Evaluate the logarithm.

Enter only a number.

Pitanje 19
19.

Review Lesson 6-5: Solve. Check for extraneous solutions.

Enter only a number.

Pitanje 20
20.

Review Rational Numbers: Add.

Enter only a rational number (fraction).

Pitanje 21
21.

Review Rational Numbers: Subtract.

Enter only a number (fraction).

Pitanje 22
22.

Vocabulary Review: Identify the fractions that are in simplest form. Select all that apply.

Pitanje 23
23.

Vocabulary Review: Match the fractions on the left with their simplest form on the right.

Pitanje 24
24.

Use Your Vocabulary: Categorize each expression on the left based on whether or not it is a rational expression.

  • Rational Expression

  • NOT a Rational Expression

Pitanje 25
25.

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.

Pitanje 26
26.

Reflection: Math Success