Algebra 2 4-6 Guided Practice: Completing the Square
By Matt Richardson
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Last updated over 2 years ago
21 Questions
3 points
3
Question 1
1.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 2
2.
Solve It! How can you use pieces like these to form a square with side length x + 3 (and no overlapping pieces)?
HINT: Here is an example that uses the same pieces to form a square with side length x + 2.
Many response options:
Show a sketch of your solution on the canvas. Use bright contrasting colors.
You may also create a copy of this Google Drawing and use it for your model. Then, upload or paste a screenshot to the canvas.
You may also use the virtual algebra tiles at Polypad, screenshot your work, and upload or paste it to the canvas.
You may ask your teacher for real algebra tiles, arrange them, take a photo, and upload that to the canvas.
3 points
3
Question 3
3.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 4
4.
Take Note: Summarize the process of solving an equation that shows a perfect square trinomial equal to a constant.
NOTE: This is a "free response" Formative item. You can include a variety of media in your response.
10 points
10
Question 5
5.
Problem 1 Got It?
10 points
10
Question 6
6.
Problem 1 Got It?
3 points
3
Question 7
7.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 8
8.
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?
3 points
3
Question 9
9.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 10
10.
Problem 3 Got It?
3 points
3
Question 11
11.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 12
12.
Take Note: Summarize the process of completing the square.
NOTE: This is a "free response" Formative item. You can include a variety of media in your response.
10 points
10
Question 13
13.
Problem 4 Got It? What value completes the square for the expression?
10 points
10
Question 14
14.
Problem 4 Got It: Reasoning: Is it possible for more than one value to complete the square for an expression? Explain.
3 points
3
Question 15
15.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 16
16.
Take Note: Place the steps for solving an equation by completing the square in the correct order.
Complete the square by adding (\frac{b}{2})^2 to each side of the equation.
Factor the trinomial.
Rewrite the equation in the form x^{2}+bx=c.
Find square roots.
Solve for x.
10 points
10
Question 17
17.
Problem 5 Got It?
3 points
3
Question 18
18.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 19
19.
Take Note: Summarize the process of completing the square to rewrite a quadratic function in vertex form.
NOTE: This is a "free response" Formative item.
10 points
10
Question 20
20.
Problem 6 Got It?
10 points
10
Question 21
21.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
