Essential Question: What are other methods of solving quadratic functions besides factoring?

Learning Target: Students will be able to solve quadratic equations that model real-world situations.

Show your work for credit.

Day 1 1/16/24

Solving Equations by Taking Square Roots

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2

Simplify

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5

Review: All square roots of real, positive numbers have two solutions.

10

Does this square root have a real answer? (Hint is there a number times itself that equals -81)

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10

Explain why all square roots have two answers.

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8

Review: Match each number on the left with its simplified form on the right.

4
-4
5
-5
6
-6
8
-8

N.RN.1

N.RN.2

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5

Vocabulary: In your own words, what does it mean to isolate a variable?

A.CED.1

A.REI.3

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5

Vocabulary: In your own words, what is an inverse operation?

A.CED.1

A.REI.3

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10

Match the operation with its inverse.

Draggable item		Corresponding Item
inverse of to the second power		subtraction
inverse of division		addition
inverse of subtraction		division
inverse of addition		multiplication
inverse of multiplication		square root

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10

MGSE8.EE.2

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2

What is the first step to solving this equation?
2x - 14 = 50

adding both sides of the equation by 14

subtracting both sides of the equation by 50

subtracting both sides of the equation by 14

dividing both sides of the equation by 2

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2

What is the second step to solving this equation?
2x - 14 = 50

dividing both sides of the equation by 2

adding both sides of the equation by 14

subtracting both sides of the equation by 50

subtracting both sides of the equation by 14

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10

Solve this equation.

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10

Solve this equation.

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10

Solve this equation.

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10

Solve this equation.

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10

Solve this equation.

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10

Solve this equation.

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10

Solve this equation.

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10

Below is an example how to solve an quadratic equation by taking a square root. Fill the blanks to complete the problem.

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10

Solve this quadratic equation by taking the square root.

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10

Solve this quadratic equation by taking the square root.

Day 2 1/17/24

Irrational Solutions

10

Solve this quadratic equation by taking the square root.

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10

Solve this quadratic equation by taking the square root.

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10

Solve this quadratic equation by taking the square root.

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10

Solve this quadratic equation by taking the square root.

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10

Solve this quadratic equation by taking the square root.

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10

Solve this quadratic equation by taking the square root.

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10

Solve this quadratic equation by taking the square root.

10

Solve this quadratic equation by taking the square root.

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10

Below is an example how to solve an quadratic equation by taking a square root. Fill the blanks to complete the problem. Use desmos to solve the radical at the end of the problem.

10

Solve this quadratic equation by taking the square root.

10

Solve this quadratic equation by taking the square root.

10

Solve this quadratic equation by taking the square root.

10

Solve this quadratic equation by taking the square root.

10

4.2 Solving Quadratic Equations without factoring (Due 1/18/24)

Day 1 1/16/24

Solving Equations by Taking Square Roots

Day 2 1/17/24

Irrational Solutions

4.2 Solving Quadratic Equations without factoring (Due 1/18/24)

Essential Question: What are other methods of solving quadratic functions besides factoring?

Learning Target: Students will be able to solve quadratic equations that model real-world situations.

Show your work for credit.

Day 1 1/16/24

Solving Equations by Taking Square Roots

Simplify

Review: All square roots of real, positive numbers have two solutions.

Review: All square roots of real, positive numbers have two solutions.

Does this square root have a real answer? (Hint is there a number times itself that equals -81)

Explain why all square roots have two answers.

Review: Match each number on the left with its simplified form on the right.

Review: Match each number on the left with its simplified form on the right.

Vocabulary: In your own words, what does it mean to isolate a variable?

Vocabulary: In your own words, what is an inverse operation?

Match the operation with its inverse.

What is the first step to solving this equation?2x - 14 = 50

2x - 14 = 50

What is the second step to solving this equation?2x - 14 = 50

2x - 14 = 50

Solve this equation.

Solve this equation.

Solve this equation.

Solve this equation.

Solve this equation.

Solve this equation.

Solve this equation.

Below is an example how to solve an quadratic equation by taking a square root. Fill the blanks to complete the problem.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Day 2 1/17/24

Irrational Solutions

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Below is an example how to solve an quadratic equation by taking a square root. Fill the blanks to complete the problem. Use desmos to solve the radical at the end of the problem.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Essential Question: What are other methods of solving quadratic functions besides factoring?

Learning Target: Students will be able to solve quadratic equations that model real-world situations.

Show your work for credit.

Simplify

Review: All square roots of real, positive numbers have two solutions.

Review: All square roots of real, positive numbers have two solutions.

Does this square root have a real answer? (Hint is there a number times itself that equals -81)

Explain why all square roots have two answers.

Review: Match each number on the left with its simplified form on the right.

Review: Match each number on the left with its simplified form on the right.

Vocabulary: In your own words, what does it mean to isolate a variable?

Vocabulary: In your own words, what is an inverse operation?

Match the operation with its inverse.

What is the first step to solving this equation?2x - 14 = 50

2x - 14 = 50

What is the second step to solving this equation?2x - 14 = 50

2x - 14 = 50

Solve this equation.

Solve this equation.

Solve this equation.

Solve this equation.

Solve this equation.

Solve this equation.

Solve this equation.

Below is an example how to solve an quadratic equation by taking a square root. Fill the blanks to complete the problem.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

Solve this quadratic equation by taking the square root.

What is the first step to solving this equation?
2x - 14 = 50

What is the second step to solving this equation?
2x - 14 = 50

What is the first step to solving this equation?
2x - 14 = 50

What is the second step to solving this equation?
2x - 14 = 50