Algebra 2 4-6 Complete Lesson: Completing the Square

Last updated about 4 years ago

29 questions

Note from the author:

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.

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Algebra 2 4-6 Complete Lesson: Completing the Square

Algebra 2 4-6 Complete Lesson: Completing the Square

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It? The lengths of the sides of a rectangular window have the ratio 1.6 to 1. The area of the window is 2822.4 in.². What are the window dimensions?

Problem 3 Got It?

Problem 4 Got It? What value completes the square for the expression?

Problem 4 Got It: Reasoning: Is it possible for more than one value to complete the square for an expression? Explain.

Problem 5 Got It?

Problem 6 Got It?

How can you rewrite the equation below so the left side of the equation is in the form of the expression below?

Hints: Consider how you would solve this equation. a is a real number.

Error Analysis: Your friend completed the square and wrote the expression shown. Explain your friend's error and write the expression correctly.
Hint: Was it necessary to add 49 to achieve a perfect square trinomial?

You may use ^ to represent exponents. i.e. x^2 represents x².

Review Lesson 4-5: Identify the factors, and solution(s) of the quadratic equation.

Review Lesson 1-3: Evaluate the expression for the given values of the variables.
Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given values of the variables.
Enter only a number.

Vocabulary Review: Match each expression with its square root.

Use Your Vocabulary: Identify the number of terms in each expression. Tag each espression as monomial, binomial, or trinomial.

Use Your Vocabulary: Classify each expression based on whether or not it is a perfect square trinomial.

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 1 Got It?

Problem 1 Got It?

Problem 2 Got It? The lengths of the sides of a rectangular window have the ratio 1.6 to 1. The area of the window is 2822.4 in.². What are the window dimensions?

Problem 3 Got It?

Problem 4 Got It? What value completes the square for the expression?

Problem 4 Got It: Reasoning: Is it possible for more than one value to complete the square for an expression? Explain.

Problem 5 Got It?

Problem 6 Got It?

How can you rewrite the equation below so the left side of the equation is in the form of the expression below?

Hints: Consider how you would solve this equation. a is a real number.

Error Analysis: Your friend completed the square and wrote the expression shown. Explain your friend's error and write the expression correctly.
Hint: Was it necessary to add 49 to achieve a perfect square trinomial?

You may use ^ to represent exponents. i.e. x^2 represents x².

Review Lesson 4-5: Identify the factors, and solution(s) of the quadratic equation.

Review Lesson 1-3: Evaluate the expression for the given values of the variables.
Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given values of the variables.
Enter only a number.

Vocabulary Review: Match each expression with its square root.

Use Your Vocabulary: Identify the number of terms in each expression. Tag each espression as monomial, binomial, or trinomial.

Use Your Vocabulary: Classify each expression based on whether or not it is a perfect square trinomial.

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

Algebra 2 4-6 Complete Lesson: Completing the Square

Algebra 2 4-6 Complete Lesson: Completing the Square

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It? The lengths of the sides of a rectangular window have the ratio 1.6 to 1. The area of the window is 2822.4 in.². What are the window dimensions?

Problem 3 Got It?

Problem 4 Got It? What value completes the square for the expression?

Problem 4 Got It: Reasoning: Is it possible for more than one value to complete the square for an expression? Explain.

Problem 5 Got It?

Problem 6 Got It?

How can you rewrite the equation below so the left side of the equation is in the form of the expression below? Hints: Consider how you would solve this equation. a is a real number.

Error Analysis: Your friend completed the square and wrote the expression shown. Explain your friend's error and write the expression correctly. Hint: Was it necessary to add 49 to achieve a perfect square trinomial?You may use ^ to represent exponents. i.e. x^2 represents x².

Review Lesson 4-5: Identify the factors, and solution(s) of the quadratic equation.

Review Lesson 1-3: Evaluate the expression for the given values of the variables. Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given values of the variables. Enter only a number.

Vocabulary Review: Match each expression with its square root.

Use Your Vocabulary: Identify the number of terms in each expression. Tag each espression as monomial, binomial, or trinomial.

Use Your Vocabulary: Classify each expression based on whether or not it is a perfect square trinomial.

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 1 Got It?

Problem 1 Got It?

Problem 2 Got It? The lengths of the sides of a rectangular window have the ratio 1.6 to 1. The area of the window is 2822.4 in.². What are the window dimensions?

Problem 3 Got It?

Problem 4 Got It? What value completes the square for the expression?

Problem 4 Got It: Reasoning: Is it possible for more than one value to complete the square for an expression? Explain.

Problem 5 Got It?

Problem 6 Got It?

How can you rewrite the equation below so the left side of the equation is in the form of the expression below? Hints: Consider how you would solve this equation. a is a real number.

Error Analysis: Your friend completed the square and wrote the expression shown. Explain your friend's error and write the expression correctly. Hint: Was it necessary to add 49 to achieve a perfect square trinomial?You may use ^ to represent exponents. i.e. x^2 represents x².

Review Lesson 4-5: Identify the factors, and solution(s) of the quadratic equation.

Review Lesson 1-3: Evaluate the expression for the given values of the variables. Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given values of the variables. Enter only a number.

Vocabulary Review: Match each expression with its square root.

Use Your Vocabulary: Identify the number of terms in each expression. Tag each espression as monomial, binomial, or trinomial.

Use Your Vocabulary: Classify each expression based on whether or not it is a perfect square trinomial.

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

How can you rewrite the equation below so the left side of the equation is in the form of the expression below?

Hints: Consider how you would solve this equation. a is a real number.

Error Analysis: Your friend completed the square and wrote the expression shown. Explain your friend's error and write the expression correctly.
Hint: Was it necessary to add 49 to achieve a perfect square trinomial?

You may use ^ to represent exponents. i.e. x^2 represents x².

Review Lesson 1-3: Evaluate the expression for the given values of the variables.
Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given values of the variables.
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.

How can you rewrite the equation below so the left side of the equation is in the form of the expression below?

Hints: Consider how you would solve this equation. a is a real number.

Error Analysis: Your friend completed the square and wrote the expression shown. Explain your friend's error and write the expression correctly.
Hint: Was it necessary to add 49 to achieve a perfect square trinomial?

You may use ^ to represent exponents. i.e. x^2 represents x².

Review Lesson 1-3: Evaluate the expression for the given values of the variables.
Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given values of the variables.
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.