Tuesday, January 9, 2024

Factoring quadratics

 Comic of the Day

Tip: It's a trap!  There's a better flowchart for factoring on Moodle anyway

Announcements

Introduction to Desmos activity and Seminar 1 Pre-lab due before your first seminar

"Getting to  Know You" questionnaire now available on Brightspace

Next unit exam (Algebraic Functions and Systems) on Mon Feb 12 (BYOFS)

Seminars
Introduction to Desmos (on your own time)
Seminar 1 (Jan 10-11) - Sporting Goods Factory (Desmos) PRE-LAB REQUIRED

Today - Factoring quadratics
Business index cards (write your preferred name and registered name)
Demonstrate expanding (x+3)(x+4) including area model
What do we have to multiply to get (....)(....)=x² + 10x + 16  ?

Random groups

Each group will work on one problem strip at a time, when you are done go to the pile and swap it for a different one.

Consolidation into meaningful notes for your future forgetful self
  • Fill in the blank steps to factor 4x²+5x-6
  • Practice factoring 4x²-12x+9 in any way
  • Choose your own adventure (come up with your own example)
  • Things to remember (hints, patterns, steps, etc.)

Notes from Moodle
Read Algebra and Trig 1.5


Next Lecture - Fraction Operations, Exponents, Simplify Radicals
Pre-read Algebra and Trig 1.3
Watch this 4:59 primer on rational (fractional) exponents
https://www.khanacademy.org/math/algebra/rational-exponents-and-radicals/introduction-to-rational-exponents-and-radicals/v/basic-fractional-exponents

For More Information
Factoring Videos
http://patrickjmt.com/factoring-a-number/
http://patrickjmt.com/finding-the-greatest-common-factor-gcf/
http://patrickjmt.com/factoring-using-the-great-common-factor-gcf-ex-1/
http://patrickjmt.com/factoring-by-grouping/
http://patrickjmt.com/factoring-by-grouping-ex-1/
http://patrickjmt.com/factoring-by-grouping-ex-2/
http://patrickjmt.com/factoring-trinomials-a-quadratic-trinomial-by-trial-and-error/
http://patrickjmt.com/factoring-trinomials-by-trial-and-error-ex-2/
http://patrickjmt.com/factoring-trinomials-factor-by-grouping-ex-1/
http://patrickjmt.com/factoring-trinomials-factor-by-grouping-ex-2/
https://www.khanacademy.org/math/algebra2/polynomial-functions/factoring-polynomials-quadratic-forms-alg2/v/factoring-trinomials-by-grouping-4
https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions/v/factoring-quadratic-expressions
https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions/v/factoring-polynomials-1
https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions/v/factoring-trinomials-with-a-leading-1-coefficient
https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions/e/factoring_polynomials_1
https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions/e/factoring_polynomials_2
https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-by-grouping/v/factor-by-grouping-and-factoring-completely

https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-by-grouping/v/factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping  

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