Week 10 HW— Nov 28/29

• Remember — we have an algebra-only class on Monday December 4th from 10 to 12 a.m.

• Chp 3 Videos and answers are posted on the resource page as of 3 pm Friday. We’re moving all quizzes to week 11 -> Chp 3 Quiz #1  Chp 3.1-3.3 & Chp 6.4-6.6 Linear Equations….

• Concepts: direct variation is a line which passes through the origin. Lines have a constant rate of change y=kx. Absolute value equations have both a positive and negative x value making a v-shape on the coordinate plane. We can translate or move them up and down by adjusting either the y intercept or adding a constant within the absolute value signs. Review of solving inequalities. Preview of factoring monomials.

Smart Studying

Add new vocabulary from this week’s chapters to your IMP pages (chp 3.1-2, 9.1-2). Quiz yourself on all your existing IMPs!

Study for multiplication test

Textbook Homework

PH 5-5 Direct Variation…

Read pg 262. Do Check understanding for example 1 Is an Equation a Direct Variation

PH 6-7 … Graphing Absolute Value EQ on coordinate plane (10)

Watch this video first from Mario Math tutor on graphing absolute value functions

Now go to Desmos.com/calculator to play around with absolute value function. You’re going to need to use the keyboard icon in the lower lefthand corner to access the absolute value signs.

• Type in y= |x| + 0 Notice that this looks like slope intercept form with the y-intercept being 0: y = mx + 0

• What is your guess on how to change the y-intercept? Test your guess. Write down how to make the graph slide up and down (this is called a translation along the y-axis)

• Now, how can you make the graph move side to side (translate it along the x-axis?) Test a few hypotheses out.

• When you’ve tried a few options, type in the equation from my desmos.com/calculator screenshot above. After doing that you can use the slider to change the value of a.

• Write down how to translate an absolute value function along the x-axis.

Reread examples then DO pg 327-8 #6, 9, 10, 13, 16, 19, 22, 25, 28, 30, 32, 34 SQUARE do #37 & 39

PH 3-1 Inequalities and their numberline graphs (6)

This is review from previous years. Reread pg. 133-136, DO 12, 16, 27, 31, 36, 38 SQUARE #65, 71

Optional video resource: Intro to graphing inequalities on a number line — includes clearing fractions: https://www.youtube.com/watch?v=EE2qWIyjKD0 12 minute video by Mike Devor

PH 3-2 Solving inequalities + and - (8)

This is review from previous year. Reread pg 142-4, DO p. 144-5: #70, 72, STP & MR #95, 97, 99, 10, 118, 119 SQUARE #88

Optional video resources:

• Art of Problem Solving Pre-algebra Chp 5.5 Basics of Inequalities Part 1

• Art of Problem Solving Pre-algebra Chp 5.5 Basics of Inequalities Part 2

• Art of Problem Solving Pre-algebra Chp 5.5 Solving Linear Equalities

• Art of Problem Solving Pre-algebra Chp 5.5. Solving Linear Equalities Word Problem

PH 3-3 Solving inequalities with division/multiplication (4)

 This is review from previous year. Reread 145-8. DO pg 149 #5, 9, 13, 29

Optional video resources:

• Optional review video by Mr. J “Multiplication or Division Inequalities One -step”

• Explanation of why we flip the inequality sign when multiplying or dividing by a negative by Mr. J

PH 9-2 Factoring Integers Preview – video Venn diagram method of finding Greatest Common Factors (3)

 Watch how to use a Prime Factorization Tree + Venn diagram to find GCF Try to apply this method to monomials (here’s are videos for regular GCF technique w/o the Venn diagram How to find GCF of monomials (Khan Academy) or Mario Math Tutor)

Read pg 462-3 DO Check understanding 1-3 (remember check understanding answers are in the back of your book.)

Mixed Review and Chp 6 Graphing Linear Equations review

• Do pg 329 #49, 51, 52 & pg 139 #84-87, 89-92, 77

• Chp 6 Review pg. 331-332 # 1-31 odds— we will have started this in class

  • Horizontal & vertical line slopes: Take notes on this video which covers what is the equation of a horizontal line? of a vertical line? Mario’s Math Tutoring on equation of the horizontal and vertical lines

• How to find the x & y intercepts of a line? Watch one of these videos and take notes.

  • Organic Chemistry Tutor 9 minutes (after 9 minutes it’s an ad for his algebra courses): https://www.youtube.com/watch?v=_-LvA1xlQLs

  • Watch this 13 minute video with Prof. Rob https://www.youtube.com/watch?v=xyVJZKu7Euw&list=PLGbL7EvScmU7ZqJW4HumYdDYv12Wt3yOk&index=42

  • Optional: Joann explains how to find x & y intercepts visually https://www.youtube.com/watch?v=sCcDHQyInRE

 PH 1-1 Translating words to math symbols-writing expressions…. (3)

HW PH Watch Translating words into symbols and numbers with Richard at Art of Problem Solving: Word Problems part 2 — this is a new link as of 12/1/23 2:55pm

Do pg. 8 #43-45

Greenie Classwork—finish these pages if you didn’t finish them in class.

Answers are on the button labeled “Greenie Answer Keys”

• Pages 5 (Solving one-step equations with decimals),

• Page 6 (Two-step equations with a fraction bar),

• Page 7 (Functions and ordered pairs— plugging in x, y pairs into equations,

• Page 33 (Measurement and Geometry: Circle circumference and area)

  • Use C= πD becuase Pi is a mathematical constant that is the ratio of a circle's circumference to its diameter This also means I’m less likely to confuse the circumference and area formulas

  • Use A = πr^2