2/9 - Factoring using Desmos

Presentation

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

6.NS.B.3, HSF-IF.C.7A, HSA.APR.C.4

Standards-aligned

Nicole Richardson

Used 6+ times

FREE Resource

7 Slides • 10 Questions

Reorder

Put the steps in order to factor: $2x^2-2x-4$

Factor out GCF:

$2\left(x^2-x-2\right)$

Factor remaining trinomial:

$2\left(x-2\right)\left(x+1\right)$

That's it, you're done!

LO: SWBAT determine the factors of quadratic polynomials of the form ax²+ bx + c using Desmos

DOL: Given 5 problems, students will correctly determine the factors of quadratic polynomials of the form of ax² + bx + c, where a ≠ 1 in at least 4 of 5 questions.

ALGI.10E - Factor, if possible trinomials with real factors in the form ax2+ bx + c, including perfect square trinomials of
degree two.

The Same Quadratic Function

KEYWORDS

Equivalent
Represents

Enter ALL answer choices in Desmos

Multiple Choice

Use Desmos to determine which equations represent the the given quadratic function?

$f\left(x\right)=\left(x-2\right)^2-3$

$f\left(x\right)=\left(x+2\right)^2-3$

$f\left(x\right)=\left(x+1\right)^2+4$

$f\left(x\right)=\left(x-1\right)^2+4$

Multiple Select

Which expressions are equivalent to
$12x^2-48x+48$ ?

Select TWO correct answers.

$12\left(x-2\right)^2$

$-12\left(x^2+4x+4\right)$

$12\left(x-4\right)\left(x-1\right)$

$-12\left(x+2\right)^2$

$12\left(x^2-4x+4\right)$

Multiple Choice

Which of the following is equivalent to: $x^2+7x+10$

$\left(x+2\right)\left(x+5\right)$

$\left(x-2\right)\left(x-5\right)$

$\left(x+10\right)\left(x+1\right)$

$\left(x+2\right)\left(x-5\right)$

Determining Single Factors

Hotspot

What two points represent the x-intercepts?

Multiple Select

Select ALL the words that mean "x-intercept".

axis of symmetry

vertex

zero

roots

solutions

Factors will cross on the x-intercepts

Multiple Choice

Which line represents a factor of the quadratic function?

The blue line

The green line

The purple line

The black line

Multiple Choice

Which expression is a factor of $30x^2-4x-16$

$5x+4$

$3x-2$

$5x-4$

$3x-4$

Multiple Choice

Which expression is a factor of $10x^2-19x+6$

$10x-3$

$10x-1$

$5x-3$

$5x-2$

Demonstration of Learning

DOL: Given 5
problems, students
will correctly
students will
correctly factor
expressions in the
form of ax2+ bx + c,
where a ≠1 in at
least 4 of 5
questions in at
least 4 of 5
questions.

Open Ended

How does Desmos assist with determining factors of quadratic functions?

Use complete sentences: Desmos assist in determining factors of quadratic functions by...

Type response here

Put the steps in order to factor: $2x^2-2x-4$

Factor out GCF:

$2\left(x^2-x-2\right)$

Factor remaining trinomial:

$2\left(x-2\right)\left(x+1\right)$

That's it, you're done!

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Slide 1 / 17

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2/9 - Factoring using Desmos

​The Same Quadratic Function

​KEYWORDS

​EquivalentRepresents

​Determining Single Factors

​Factors will cross on the x-intercepts

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The Same Quadratic Function

KEYWORDS

Equivalent
Represents

Determining Single Factors

Factors will cross on the x-intercepts