Algebra 1 Spring Semester

Week 19 HW

March 5/6

Smart Studying

Multiplication Facts - focus on perfect squares. And get faster at 1-12s.

Desmos Activities: Join our Desmos classroom by clicking the orange button above or this link: https://student.desmos.com/?prepopulateCode=a3yphj. Bookmark this location as we’re going to use this for the rest of the semester occasionally.

Then do these activities:

• “Guess My Rule” - this goes with PH 5-4 Write a function

• SQUARE BONUS “Domain and Range Introduction” this goes with chp 5

• Review Slope-intercept form y=mx+b by going to Desmos’ graphing calculator and messing around with m & b to recall what changing each term or coefficient does to the line.

• SQUARE BONUS “Card Sort” - is this a function or not a function.

• PENTAGON BONUS: “Graphing Stories” - matching graphs with a real world event.

GREENIE WORK… we start this in class. Finish at home

Answers to Greenie work are on a button above “Greenie Answer Keys”

• REVIEW Page 19 Exponents and Roots: Pythagorean Theorem

• REVIEW Page 20 Exponents and Roots: applying the Pythagorean theorem and its Converse

• REVIEW Page 36 Measurement and Geometry: volume and surface area of spheres - finish (evens)

• REVIEW PAGE 37 Multistep Equations: Combining like terms, distributive property

Greenie optional support videos

• G #19 & 20

  • Simplifying Square Roots - Math Antics

  • Pythagorean Theorem Math Antics (Bonus video on using Pythagorean Theorem to find the distance between two points)

• G#36 Volume of sphere - Math Antics & Surface Area of a Sphere by Organic Chem Tutor

• G#37 Multistep Equations: Solving Equations by combining like terms by Magic of Math

  Solving Equations with Distributive property by Math is Simple

Textbook Homework - about 50 problems this week

PDF of HW Problems is here.

Support videos are below for each section. They are optional unless otherwise noted.

PH 5-1… Relating Graphs to Events

No video. We’ve done these in class. Re-read the textbook if you have questions.

PH 5-2... Relations & Functions & Function Notation

How to determine if an equation or set of data represents a function? Four ways to determine if an equation or set of ordered pairs represents a FUNCTION here

Overview of function notation 10 minute video by Kevin Dorey https://www.youtube.com/watch?v=lVUeWKIiypM )

4 minute Mario math tutor video https://www.youtube.com/watch?v=_e0EdFGpcvc and do problem 2 before he does them. Example four is like problem 29 on page 381

REQUIRED: TAKE NOTES More advanced examples f(g+2)=blah blah https://www.youtube.com/watch?v=8wYVB7Jgo40 by Math WOEs

PH 5-3 Three Ways to write functions:  table, graph, EQ

REQUIRED: TAKE NOTES Magic of Math - 5 Ways to write a function (2 bonus!)

PH 5-4 Write a function (think Mr. Function Fox)

REQUIRED: TAKE NOTES Writing a linear function from a table (Mario Math Tutor)

Writing a function from a table in y= mx + b form (Org. Chem Tutor)

PH 5-5 Direct Variation is y = kx, (straight line through origin, b =0)

• 11 minute video by Victoria Miles: https://www.youtube.com/watch?v=fVGQIOrVXls

• Prof Rob Bob https://www.youtube.com/watch?v=Ps_YRWPdkfk&list=PLGbL7EvScmU7ZqJW4HumYdDYv12Wt3yOk&index=40 (Remember to take notes and after he does one problem, pause the video and do the other problems with him.)

• Direct variation word problems with Joann https://www.youtube.com/watch?v=0Oloi4o7MhE

• Video with Joann https://www.youtube.com/watch?v=G6Dt0z1osKI (“Algebra I #12.5a, Direct Variation and Constant of Variation”)

• Word problems direct variation -Video with Joann https://www.youtube.com/watch?v=ZQgjSvM8_1I

• PENTAGON: Watch Direct variation word problem example with Mario Direct Variation Word Problem Example - YouTube

PH 9-5 Factoring Regular trinomials x ² +bx +c (think, diamond product and sum puzzles)

Factoring Regular trinomials x ² +bx +c from Mash up math where a =1

PH 9-7 Factoring: special cases SoBs = PST and Difference of Squares

(Remember to first look for Greatest Common Factors: Factoring Monomials from a Polynomial)

Factoring Polynomials Difference of Squares

Perfect Square Trinomials are really Squares of Binomials in disguise (a + b)² = a² + 2ab + b² or (a-b)² = a² - 2ab + b²

Mario factors a few problems

Richard from AoPs shows us how to squares of binomials 10 minutes

PH CHP 4 REVIEW

See the Algebra Resource Page for all of chp 4 if you get stuck.

Previews & Reviews of Important Math Concepts: Possibilities and Probabilities

The Counting Principle (McD 6.8)

• Support Video on the Counting Principle from Front Porch Math

• Optional Video if you need more examples: Counting Principle from Mario Math Tutoring

Compound Events: Independent and Dependent events

If you can explain what an indpependent and dependent event is and how to find the probability of both types of compound events, bravo. If not, refresh your memory with one of these videos ·  4 minute Video from Joann’s School - Dependent vs. Independent Compound events OR Compound Probability both independent and dependent events with Organic Chemistry tutor (the dependent event part is at the very end)