Completing the Square - Jan. 5

Presentation

•

Mathematics

•

10th - 12th Grade

•

Easy

•

CCSS

HSA-REI.B.4B

Standards-aligned

Mrs. Martin

Used 2+ times

FREE Resource

6 Slides • 20 Questions

Completing the Square - Jan. 5

"I can solve equations and rewrite functions by completing the square."

Time for Review

Quadratic Equations- is a non-linear equation. It must have a square.

Multiple Choice

REVIEW: The graph of a quadratic function is called

a line

a hyperbola

a parabola

a cubic

Multiple Choice

REVIEW: Standard form of a quadratic equation

y=x²

y=ax²+bx+c

y=mx+b

y=x

Multiple Choice

REVIEW: 3x² - 4 is a quadratic

true

false

Multiple Choice

REVIEW: Which of the following is NOT a quadratic function

f(x) = -3x²

f(x) = -5x - x²

y = 3x³- 4x + 5

A = pi.r²

Multiple Choice

REVIEW: What are the dots called?

axis of symmetry

vertex

parabola

roots or x-intercepts

Open Ended

This lesson has 3 key concepts.

GOAL: I can solve show mastery in solving equations and rewriting functions by completing the square.

Type or write the goal statement above.

Type response here

Open Ended

The transcendentals (Latin: transcendentalia) are the three properties of being: truth, beauty, and goodness. In regards to today's topic, how do you feel this relates to truth, beauty or goodness in your life or as a contribution to the lives around you? Another words: Why is learning completing the square important in regards to the pursuit of truth, beauty and/or goodness?

Type response here

Open Ended

KEY CONCEPT: SOLVING BY FINDING SQUARE ROOTS.

What is the solution of the equation

4x^2+10x=46

Type response here

Open Ended

Solve the equation by using the Square Root Property. Round to the nearest hundredth if necessary. $100\ x^2-60\ x+9=121$

Type response here

Open Ended

Solve the equation by using the Square Root Property. Round to the nearest hundredth if necessary.

x^2-18x+81=49

Type response here

Multiple Choice

If I isolate the variable and THEN take the square root, I ______________get the right answer.

WILL

WILL NOT

Multiple Choice

If I take the square root BEFORE isolating the variable, I ___________________ get the right answer.

WILL

WILL NOT

Multiple Choice

Why is there a

\pm

for the answer solutions?

When you take the square root, there is a positive and negative solution.

In real world problems, a negative solution may not make sense.

All of the above

Multiple Choice

How is solving by finding square roots similar to solving for a linear equation?

You isolate the variable

You always have to graph to find the solution

Multiple Choice

Sometimes we must rewrite the equation in order to solve. This is why it is important to know how to make a perfect square trinomial.

True

False

Open Ended

KEY CONCEPT: MAKING A PERFECT SQUARE TRINOMIAL.
What is the solution of

x^2+4x+4=25

Type response here

Open Ended

Find the value of c that makes the trinomial a perfect square. Then write the trinomial as a perfect square.

x^2-3\ x\ +c

Type response here

Open Ended

Find the value of c that makes the trinomial a perfect square. Then write the trinomial as a perfect square.

x^2+60\ x+c

Type response here

Multiple Choice

What happens if the constant on the right side is not a perfect square?

The answers are irrational (An irrational number is a number that cannot be expressed as a fraction for any integers and irrational numbers have decimal expansions that neither terminate nor become periodic.).

It must always be a perfect square. There are times when it is not possible to complete the square and this is an example.

Open Ended

Find the value of c that makes the trinomial a perfect square. Then write the trinomial as a perfect square.

x^2+60\ x+c

Type response here

Completing the Square - Jan. 5

"I can solve equations and rewrite functions by completing the square."

Show answer

Auto Play

Slide 1 / 26

SLIDE

Similar Resources on Wayground

20 questions

Inverse Functions Recap

Presentation

•

10th - 12th Grade

21 questions

The Addition Rule of Probability

Presentation

•

10th - 12th Grade

18 questions

Points, Lines, Planes, and Angles

Presentation

•

9th - 12th Grade

20 questions

Mixed Numbers

Presentation

•

4th - 5th Grade

20 questions

Intro to Probability: Theoretical vs. Experimental

Presentation

•

9th - 12th Grade

20 questions

Triangle Congruence - part 1

Presentation

•

9th - 12th Grade

21 questions

FOIL Method

Presentation

•

9th - 12th Grade

19 questions

More Venn Diagrams

Presentation

•

11th - 12th 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 Mathematics

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

20 questions

Unit 5 Test RSC (25-26)

Quiz

•

10th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade

10 questions

Solving Two-Step Equations with Negatives

Interactive video

•

6th - 10th Grade

22 questions

Identify Vertical and Horizontal Translations

Quiz

•

9th - 12th Grade

10 questions

Exploring Equivalent Ratios and Ratio Tables

Interactive video

•

6th - 10th Grade

10 questions

Graphing Inequalities on a Number Line

Quiz

•

9th - 12th Grade