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Completing the Square with Algebra Tiles

Completing the Square with Algebra Tiles

Assessment

Interactive Video

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSA-REI.B.4B, 8.EE.C.7B, HSA.APR.C.4

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.HSA-REI.B.4B
,
CCSS.8.EE.C.7B
,
CCSS.HSA.APR.C.4
The video tutorial introduces the concept of completing the square, a technique used in solving quadratic equations and converting them into the standard form of a parabola. The instructor uses visual aids to demonstrate how to rearrange components to form a complete square. The tutorial then explains the mathematical steps involved in completing the square and provides a practice problem for viewers to try on their own.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of completing the square?

To solve cubic equations

To solve exponential equations

To solve quadratic equations

To solve linear equations

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the problem x^2 + 6x + blank, what does the blank represent?

A missing exponent

A missing coefficient

A missing constant

A missing variable

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape are we trying to form by completing the square?

Triangle

Rectangle

Square

Circle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of each green rectangle in the visual representation?

1

x + 1

x^2

x

Tags

CCSS.8.EE.C.7B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many units are needed to complete the square for x^2 + 6x?

6

9

12

3

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the mathematical process to complete the square for x^2 + 6x?

Subtract 6

Add 6

Divide by 2

Multiply by 2

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After dividing by 2, what is the next step in completing the square for x^2 + 6x?

Multiply by 3

Subtract 3

Square the result

Add 3

Tags

CCSS.HSA-REI.B.4B

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