Complete the square - Grade 10 Lesson Slides: 5 Slides

5 Slides • 7 Questions

1

Completing the Square (Full process)

2

The video that is on the next slide is from slide 60 in our Student Notebooks. If you would like to fill it in today, you can or you can copy these steps on separate paper.

The extra example can be written in example #2's box also

3

Lesson Video:

https://annotate.net/user/Jessica-Betts/clips/Completing-the-Square-preview

4

Example 2:

5

6

Multiple Choice

Step 1: Is our a=1?

1

yes, so we are finished with this step

2

No, we have to divide the whole equation by that number.

7

Multiple Choice

Step 2: Move the constant to the other side of the equation. What does the result look like:

1

$x^2+6x\ +\ \ \ \ \ \ =7$

2

$x^2+6x\ \ \ \ =-7$

3

$x^2+6x\ -7\ =\ 7$

4

$x^2\ \ \ \ \ \ =-6x+7$

8

Multiple Choice

Step 3: We find the value that would complete the perfect square binomial

\left(\frac{b}{2}\right)^2

1

+9

2

-9

3

+36

4

6

9

Multiple Choice

Step 4: Add that value to both sides of the equation. What would that look like?

1

$x^2+6x+9=16$

2

$x^2+6x+9=7$

3

$x^2+6x\ +9\ =\ -2$

4

$x^2+6x-9=-2$

10

Fill in the Blanks

Step 5: Factor the perfect square trinomial. Type in the factors as the binomial squared. Use CMD and the . key to type an exponent or use Shift and 6

Type answer...

11

Multiple Choice

Step 6: Part a: Take the square root of both sides. What does that look like:

1

$x+3=\pm4$

2

$x+3=4$

3

$x+3=\pm16$

4

$x+3=16$

12

Multiple Select

Step 6 part b: Split that equation into two equations, one for the positve number and one for the negative and solve them both. Select your answers below.

1

x=1

2

x= -7

3

x = -1

4

x = 7

Completing the Square (Full process)

Show answer

Auto Play

Slide 1 / 12

SLIDE

Similar Resources on Wayground

9 questions

Geometry 8

Presentation

•

8th Grade

9 questions

Pictograph Practice

Presentation

•

3rd Grade

9 questions

What are the parts of a literary essay?

Presentation

•

5th Grade

9 questions

maht math math

Presentation

•

3rd Grade

9 questions

Homophones and Homographs

Presentation

•

5th Grade

9 questions

Comma Rules

Presentation

•

6th Grade

9 questions

Past Simple

Presentation

•

1st - 12th Grade

9 questions

Appositives and Appositives Phrases

Presentation

•

10th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade