Fall Semester Math 8 Old HW (from year 3 when we did it with Algebra)

this semester is listed with September at top and December at bottom

Chapter 2: Functions 2.1-2.5

We introduced most of this in class during weeks 11 & 12

Read each section intro and examples. Then try 3-5 problems from the section, usually from the Practice and Problem solving section (see which ones have answers in the back of the book). Then take the quizzes— called Ready to Go On— at the end of every two or three sections (I’ve posted photos of quiz answers . Then do some of the review problems from the Study Guide and Review at the end of the chapter.

If you need more practice here are some suggestions.

Chp 2.1 Ordered Pairs Read intro & examples. Recommended problems: p. 52-53: 17, 19, 21, 25, 27,33

Chp 2.2 Graphing on a Coordinate Plane and horizontal and vertical distance between two points. Read intro & examples. Recommended problems: pg 57: #33, 35, 37, 41 & test prep

Chp 2.3 Interpreting Graphs. Read intro & examples. pg 62-63: 9-17 odds & Focus on Problem Solving page 65.

Chp 2.4 -2.5 — You choose

Videos

1. Math 8 Section 2.1 Is a given ordered pair a solution of a linear equation?

2. Input & Output Tables Math Antics Video about functions inputs & output table & Math antics on slope

3. Math Antics- what is a function? Four ways to determine if an equation or set of ordered pairs represents a FUNCTION here

4. Graphing on a Coordinate Plane Math Antics Video about Graphing on a Coordinate Plane

Chapter 4: Ratios, Proportions and Similarity

Ratios, Proportions and Similarity 4.1-4.4 - we had lessons on this in class too during week 12.

Read each section intro and examples. Then try 3-5 problems from the section, usually from the practice and problem solving section (see which ones have answers in the back of the book and use the photos I’ve posted with answers). Then take the quizzes at the end of every two or three sections. Then do some of the review problems from the Study Guide and Review at the end of the chapter.

Chp 4.1 - Ratios, Rates, and Unit Rates - review from last year (easier!)

• Overview of rates and ratios with this Math Antics video: https://www.youtube.com/watch?v=RQ2nYUBVvqI

• https://www.youtube.com/watch?v=xZf3l4uU9_E

Chp 4.2 Solving Proportions - review from last year (easier!)

• Intro to solving proportions with cross products: Watch this Math Antics Proportions video (10 minutes)

Quiz for Lessons 1 & 2

Focus on Problem Solving p. 167 - do this

Chp 4.3 Similar Figures (new)

• What does similar mean? How is that different than congruent? Video Similar v. congruent

• Using proportions to find missing measurements in similar figures short video.

• In this next video watch him do this cool factoring so he can cancel common factors out to make multiplying a big numbers easier without a calculator (watch at minute 4:50 -6) You don’t need to watch the entire video: a longer one (11 minutes) if you need more examples from Organic Chemistry Tutor.

Chp 4.4 Dilations (this is new.)

• Intro to dilations (9 minutes) from JoAnn’s school

• Here’s another one on how to solve problems involving dilation from math mash up

• If you want more explanations here’s a detailed video on dilations with definitions of terms and examples (19 minutes) from the Magic of Math

Quiz for Lessons 3 & 4

Study Guide and Review

More Rates, Ratios, and Proportions videos

1. GAME: Equivalent ratios - space invaders equivalent ratio game from MathGameTime.com

2. Overview of rates and ratios with this Math Antics video: https://www.youtube.com/watch?v=RQ2nYUBVvqI

3. Introducing ratios by Richard of AoPs https://www.youtube.com/watch?v=6ItURzd64WE&list=PLqiSsHAcyf9cJfapnn3i5nuMFIu4JXfrW

4. Ratios- Parts & Wholes by Richard of AoPs https://www.youtube.com/watch?v=z7aYEexTb7Q&list=PLqiSsHAcyf9cJfapnn3i5nuMFIu4JXfrW&index=2

5. Ratios - Multi-part ratios by Richard of AoPs https://www.youtube.com/watch?v=Lkw4Slh4uRg&list=PLqiSsHAcyf9cJfapnn3i5nuMFIu4JXfrW&index=3

6. Proportions:

   • Intro to solving proportions with cross products: Watch this Math Antics Proportions video (10 minutes)

   • Word Problems with proportions. How to set up a proportions when reading word problems? Watch Richard from AoPs set up proportion (equal ratios are called proportions) (Note at minute 6 he “clears” the fraction by multiplying by 2 so he doesn’t have to have a fraction in the numerator.) He calls method 1 finding an equivalent ratio “scaling it up by a factor of _____”

Chapter 6

Measurement and Geometry A) Circles, Prisms, and Cylinders

Measurement and Geometry 6.1 - 6.4 -all review

A) Circles, Prisms, and Cylinders

B) Pyramids, Cones and Spheres

Read each section intro and examples. Then try 3-5 problems from the section, usually from the practice and problem solving section (see which ones have answers in the back of the book and use the photos I’ve posted with answers). Then take the quizzes at the end of every two or three sections. Then do some of the review problems from the Study Guide and Review at the end of the chapter.

All of this is review from last year— but easier than what we did in McD!

6.1 Circles Circumference = (diameter) (Pi) Area = (Pi)(radius^2). Memorize these formulas

6.2 Volume of Prisms and Cylinders =(Bh)

6.3 Volume of Pyramids & Cones = 1/3Bh

6.4 Volume of Spheres = 4/3(Pi)(r^3) Surface Area of Spheres = 4(Pi)(r^2)

I’m not posting videos on this as it is pretty straight forward. You can easily find videos on these topics if you need them.

MATH 8 TEXTBOOK

• Chp 3 Study Guide Review pg. 146-148: #5-13 odds, 18-30 evens, 40-52 evens, 54, 60-70 evens, 74

THURSDAY, December 2 HW 12.2 (due Monday 12/6)

Review of Rates & Ratios from last year (a preview for chp 4 in Math 8)

1. GAME: Equivalent ratios - space invaders equivalent ratio game from MathGameTime.com

2. Overview of rates and ratios with this Math Antics video: https://www.youtube.com/watch?v=RQ2nYUBVvqI

MATH 8 TEXTBOOK - Photos of answers note in your textbook are below.

1. Chp 2.4 Functions.

   • Math Antics- what is a function? review

   • Reread examples then do pages 68-69: 1, 3, 5, 8, 13, 15, 19

2. Chp 2.5 Equations, Tables and Graphs. pg. 72: #4, 5, 6

3. Chp 2 Study Guide Review sections 2.4-2.5 pg. 82: #29, 31, 32, 33, 35, 36, 37, 38

MONDAY, NOVEMBER 29 HW 12.1

1. Diamond Problems - print out this worksheet of diamond problems, hide the answer key while you work on them. Then check your work. There is a sample of how to do the puzzle in the first problem. See if you can figure it out the pattern!

MATH 8 TEXTBOOK— ANSWERS posted 11/7 at 3:52 pm Answers to 3.8, 3.9 and Chp 2 Study Guide Review which aren’t in the textbook are here.

• Section 3.4 Operations w/ Scientific Notation continued: Do p. 107, #19 & 21

• 3.8 Pythagorean Theorem continued… everyone do pg. 135: #27 & 30

• 3.9 CORRECTION — THESE PROBLEMS BELOW ARE ACTUALLY SECTION 3.9 (Wednesday at 3:21 pm)

  • TRIANGLE also Do pg. 140-141: # 7, 20, 29, 31

  • PENTAGON also Do pg. 140-141: #5, 20, 31, 33, 36

• Chp 3 Study Guide Review pg. 146-148: #15-27 odds, 35-41 odds, 45- 59 odds, 65,

• Chp 2.1 - 2.3 Study Guide Review pg. 80: #7, 9, 11, 13, 14, 23 (you are finding the vertical distance they are apart— this isn’t the “distance formula” yet. We’ll get to that in chapter 3 soon.) and 27.

MATH 8 TEXTBOOK

• AoPs Video Non-Integer Square Roots (decimals)

• Section 3.6 Estimating Square Roots… Do p.118: #17, 19, 22, 23, Pentagon also do 41 & 47

• Section 3.7 Real Numbers are Rational Number and Irrational Numbers

  • Watch this video on classifying numbers. Don’t worry about the imaginary number part.

  • Reread Examples 1-3 on classifying numbers

    • Natural numbers = 1, 2, 3 etc. positive whole numbers (thinking counting on your fingers)

    • Whole numbers = 0, 1, 2, 3, …. (includes zero and positive numbers)

    • Integers = -3, -2, -1, 0, 1, 2, 3…. positive AND negative numbers

    • Rational numbers = numbers which can be written as fractions and as decimals which either terminate or repeat 25/4 or 1.3333…

    • Irrational numbers = numbers which can NOT be written as a fraction or repeating or terminating decimal. In other words numbers with decimal places which never end (my memory trick for this is “crazy-long decimals” crazy is irrational

    • Real numbers is all rational and irrational numbers

    • Imaginary numbers like square root of -25 - which doesn’t exist— it’s only a number you can imagine but doesn’t exist in the real world

  • Do pg. 125 #17-29 odds

• 3.8 Pythagorean Theorem

  • Re-read Examples 1-3

  • TRIANGLE Do pg.134-135: #1-9 odds, 17, 19, 23

  • PENTAGON Do pg. 134-135: #9-13 odds, 16, 19, 21, 25,

• Get ahead for 3.9:

  • watch Prof Dave explain finding the distance between two points on a coordinate plane using the Pythagorean Theorem (We’ll revisit this technique and section 3.9 after chapter 2 in Math 8 in which we do work on a coordinate plane.)

  • Here’s a quick optional 2 minutes with Mario explaining the distance formula again.

Green Math 8 Textbook

• Preparing for Math 8 chapter 2 on graphing and functions: I need to know what you remember about functions, so please take these quick assessments for chap 2

  • pg. 64 #1-21 odds,

  • page 76 #1-13 all.

• Section 3.4 Operations w/ Scientific Notation continued: Do p. 107, #7-17 odds

• Section 3.5 Squares and Square Roots - Reread Examples 1-3.

  • AoPs Video Square Roots Intro Part 1

  • AoPs Video Square Roots Intro Part 2

  • TRIANGLE Do pg. 114-115: #5-29 odds, 35-41 odds,

  • PENTAGON Do pg. 114-115: #19-29, 35-41 odds, 47, 49

• Section 3.6 Estimating Square Roots

  • Reread Examples 1-3 (note: example 3 is hard)

  • Do pg. 118 # 1-15 odds

• 3.8 Pythagorean Theorem Watch the Math Antics video about Pythagorean Theorem in preparation for our work next class. (12 minutes)

Math 8 Textbook Chapter 3 Exponents & Roots (mostly review)

Optional exponents videos are listed under the heading “Exponents Laws” towards the bottom of our Math Videos Page

Order of operations refresher is here: GEMDAS (Grouping symbols instead of parentheses) https://www.youtube.com/watch?v=kQp1ZpvBVVo

• Section 3.1 Integer Exponents

  • Re-read examples 1-3,

  • DO pg. 94 #13, 17, 21, 33-41 odds

• Section 3.2 Rules or Properties of Exponents

  • Re-read examples 1-3.

  • Write the Properties of Exponents or exponent rules in your IMPS.

  • TRIANGLE: DO pg. 98 # 13, 17, 21, 25, 29, 33,

  • PENTAGON DO pg. 98 # 25, 29, 33, 37, 41, 45

• Section 3.3 Scientific Notation

  • TRIANGLE: DO pg. 102, #1, 5, 9, 10, 11, 15, 19, 33

  • PENTAGON DO pg. 102, #11, 15, 19, 20, 33, 37, 41, 43

• Section 3.4 Operations with Scientific Notation (this is new)

  • Re-read examples 1-3

  • DO pg. 107, #1, 2, 3, 4, 5, 6

Week 1 — see old Alg year 3 page for ready to go on quiz pages etc

January 13, 2022 HW 1.1 - Due Thursday January 20th Math 8 Review of chapters 2, 3, 4, & 6

All homework is from Greenie (workbook for Math 8) unless otherwise noted. We are essentially finishing the pages we worked on during our Chutes and Ladders review game.

Solutions for HW items 1-7 are HERE.

Solutions for HW items 8-14 are HERE.

Solutions for HW items 15-16 are HERE.

You should show some of your work on a separate piece of paper as the workbook pages are pretty small.

1. Chp 2.1 page 7 of Greenie: evens plus #13.

2. Chp 2.2 page 8 write an explanation of how to solve problem 18. (Do 15-18 if you didn’t finish them in class.)

3. Chp 2.3 page 9: #3 & 4

4. Chp 2. 4 page 10: finish the page (2, 4, 6)

5. Chp 2.5 page 11: problem 2 (finish the page if you didn’t finish the other problems in class.)

6. Chp 3 - review the study guide in the Math 8 textbook for this chapter.

7. Chp 3.8 page 19: evens

8. Chp 3.9 page 20: 1, 2, 4, 6, 8, 10, 12, 13, 14

9. Chp 4.1 page 21: 2, 5, 6, 8, 10

10. Chp 4.2 page 22: evens

11. Chp 4.3 Re-read all the examples in the textbook for this lesson (4.3). Then do the evens on Greenie page 23.

12. Chp 4.4 Re-read all the examples in the textbook for this lesson (4.4) Then do the 2 & 4 on Greenie page 24

13. Chp 6.1 page 33: evens

14. Chp 6.2 page 34: 1, 4, 7, 10, 11 (CORRECTION- THIS IS ON PAGE 34 NOT 24-Monday 1/17, 7pm)

15. Chp 6.3 page 35: 1, 2, 7, 10

16. Chp 6.4 page 36: 1, 5, 7, 10

Classwork summary: review of finding vertical & horizontal distance between two points, is it a function test, Pythagorean theorem applications, distance formula for finding distance between any two points on a coordinate plane, rates (what is density), unit rate, are two ratios proportional, similarity of polygons.

Homework all from Math 8 textbook

Building pyramids and rectangular prism to derive volume formula of a pyramid (1/3)Base Area)(h) compared to rectangular prism with a congruent base and heights. (It took three pyramids to fill up the prism, thus the prism is 3 times the volume, making the pyramid 1/3 the volume of the prism.) Building triangles to review the Triangle Sum Theorem (The sum of the angle measures of a triangle is 180). And to see visually why a straight angle is 180 degrees. Interior Angles Chutes and Ladders review game for Math 8 chapter 5 lessons 5.1-5.3 including angle relationships and angle chasing practice (acture, right, obtuse, straight, complementary, and supplementary angles, vertical angles, alternate interior angles, alternate exterior angles, corresponding angles, transversal). New info: Triangle Inequality Theorem (sum of the lengths of any two sides of a triangle is greater than the length of the third side.)

REMEMBER TO SHOW YOUR WORK. Beginning with this assignment, if you don’t show your work the highest grade you can get on the homework is 7/10 (a C-)

This homework is a review of Chp 5.1-5.3 & Chp 3

1. PENTAGON: Flash cards for angle terminology: Textbook chp 5.1 page 196 & 5.2 page 203 Make flashcards with drawings for angle terminology in the green box on page 196: acute angle, right angle, obtuse, angle, straight angle, complementary angles, supplementary angles & page 203 alternate interior angles, alternate exterior angles, corresponding angles. Include “vertical angles” - those are the congruent angles in the diagram that are the same color on page 202 (angles 1 & 4 are vertical angles, as are angles 2 & 3) which are across the vertex from each other.

2. Compass work: Do you remember how to use your compass to bisect lines and angles? Read page 201, then do “Try This” # 1-4.

3. Angle Relationships Chp 5.1 Re-read text and the examples on pages 196-197. For this section (5.1) do problems 13, 15, 21-25 odds, 26, 27. (You don’t need the page numbers to find the problems.)

4. Parallel & Perpendicular Lines Chp 5.2 Re-read the text and examples on pages 202-203. Do the “Think and Discuss” on page 202 problem #2. Then do problems 11-21 odds, 22, 25

5. Triangles Chp 5.3 Re-read text and examples on pages 206-208. Do problems 13-35 odds

6. Exponents & Roots Chp 3. We did Chp 3 at the beginning of first semester so sections 3.3, 3.4, and 3.6 might feel a little rusty. I recommend you re-read the examples on those sections. Study Guide Review pages 146-148 do problems 1-5 all, 7-53 odds, NO CALCULATOR for 55 & 56 (these are yucky problems without a calculator, I know) and 57-73 odds

7. Watch these videos to prepare you for material in 7.4 and chp 8. Everyone should watch the videos and pause and do the problems when instructed, however you may earn extra credit point by doing the PENTAGON options which is taking at least one note for each video.

   • 7.4 System of Equations Videos: Substitution Method

     • AoP Solving systems of equations with substitution

     • Optional: another an optional video on using the substitution method (solving for one variable and then substitute in or plug in that expression whenever you see that one variable: as is g + f = 30, so f= 30- g, —> plug or sub in (30-g) wherever you see f in the other equation.)

   • 8.2 Slope of a Line

     • Review of slope: THIS LINK IS BROKEN- 1/21 12:20 PM WATCH this video on steepness and direction of a line and slope and DO the problems Kevin tells you to (pause the video and do them).

     • More Details on slope of a line

       • Math Antics Slope and Distance of a line (slope = RISE / RUN or change in y over change in x)

       • Slope Formula is change in y over change in x WATCH THIS VIDEO to learn how to Calculate slope using any two points on a line and DO the problems Kevin Dorey tells you to (pause the video and do them).

   • 8.3 Using Slopes and Intercepts

     • How to find the x & y intercepts of a line? Organic Chemistry Tutor 13 minutes: https://www.youtube.com/watch?v=_-LvA1xlQLs

     • How to graph a line when you have an equation in y = mx + b or slope-intercept form. WATCH this video.

After this we have a few sections in chp. 5 which are new, one section in chp 7, and a few in chp. 8 and 9 and we’ll have completed all of Math 8!

HW 2.1 Monday 1/24

All homework is Math 8

Today’s homework is finishing up chapter 5 and 7 of Math 8 and taking a brief quiz on chp 1-2. (I was going to include chp 3 but we didn’t review the 4 chop 3 questions that students had questions about on Monday. So I’m pushing the chp 3 quiz back to next week with chp 4 quiz.)

1. QUIZ: Math 8 Chp 1-2 at home cumulative quiz (multiple choice- no partial credit) - Here is the link to the quiz and it’s directions. Due Date Changed - turn in with homework on Jan 27

2. Systems of Equations 7.4

   • Video: Substitution Method & the Elimination Method: video on using substitution to solve equations with two variables (he also shows you how to do the “elimination” method which we haven’t learned yet)

   • Video: optional video on using the substitution method (solving for one variable and then substitute in or plug in that expression whenever you see that one variable: as is g + f = 30, so f= 30- g, —> plug or sub in (30-g) wherever you see f in the other equation.)

   • Read the examples on pages 318-319. (You may rewatch the systems of equations videos from last Thursday if needed). Do page 320: #1-15 odds, 37

3. Coordinate Geometry Chp 5.4 Read examples on pages 213-215. Then do problems 1-11 odds, 17,25

4. Congruence Chp 5.5 Read examples on page 222-223. Then do problems 3-15 odds, 19, 21

   • (If you are confused by this, you can watch this 9 minute video on corresponding parts in congruent polygons: https://www.youtube.com/watch?v=aG7KcNNoe5I )

5. Transformations (reflections, rotations) Chp 5.6 Read examples on page 226-228. Do #7-25 odds

   • Basic review - this is optional but helpful videos on translations & reflections from Joann’s School translations: https://www.youtube.com/watch?v=_UMK0ApUZa0 reflections: https://www.youtube.com/watch?v=8HJB93N4QoU

   • Optional videos on how to transform shapes algebraically

     • Translations (slides) how to figure this out algebraically - this like Example 1 in 5.6 https://www.youtube.com/watch?v=fZ4eQGw9t4I

     • Reflections - this is like Example 2 https://www.youtube.com/watch?v=-fG1ud1gT6g

     • Rotations - This is like Example 3 https://www.youtube.com/watch?v=EwkOQWG3o50

     • Summary of how to do all of these rigid transformations by Organic Chem Tutor (43 minutes) https://www.youtube.com/watch?v=GqHWdTLL8Qw

6. Identify similar and congruent Transformations Chp 5.7 Read examples on page 231-233. Do 1-7 odds. We did not have time to learn this in class so you’ll want to watch the video below and read the examples in the textbook carefully.

   • If you need a video review on how to decide if you’re looking at a similar tranformation (same shape (same angles and side proportions) but not the same size) or if you’re looking at a congruent shape (exactly the same but in a different position or orientation), here’s a helpful video: https://www.youtube.com/watch?v=V80UfaC8syg

   • Just for fun: Hooda Math Transformation Golf game https://www.hoodamath.com/games/transformationgolf.html

Today’s Math 8 homework is finishing up chp 5 rigid transformations, a review of chp 6 important formulas, and starting the first half of chp 8 on graphing lines (with a little bit of chp 7 thrown into the mix too). Included are videos to reinforce concepts we’ve just learned or to preview coming concepts in Math 8. Everyone should watch the videos and pause and do the problems when instructed, however you may earn extra credit point by doing the PENTAGON option which is taking at least one note for each video.

Next Monday we will have a take home quiz on chp 3 & 4. You can look over your greenie homework on those chapters and bring any questions you have to class on Monday. You can, if you want to, write down any example problems or definitions that you want to have ready for the chp 3 or 4 test (suggestion: write the steps for finding square root of integers down.)

GREENIE SOLUTIONS are here for page 40 all (7.4 Systems of equations) & pages 28-31 evens (5.4-5.7)

1. ID similar and congruent Transformations Chp 5.7… Do p. 234, 9, 11, 21, 23, 27

2. Chp 5.4 Greenie page 28, evens

3. Chp 5.5 Greenie page 29 evens

4. Chp 5.6 Greenie page 30 evens

5. Chp 5.7 Greenie page 31 evens

6. Chp 6 Make flashcards for the area, surface area and volume formulas in chp 6 and memorize them.

7. Chp 7.4 and Extension: Equations with no solution, infinitely many solutions and systems of equations

   • Read p. 314 then do p. 315: # 1, 3, 5, 19, 21

   • Videos - Elimination Method (To earn PENTAGON points take notes for an extra credit point)

     • Student & adult tickets problem with Mrs. Milkosky: https://www.youtube.com/watch?v=OrT71LqwlYw

     • Pounds of different nuts problem with Mrs. Milkosky https://www.youtube.com/watch?v=hsqFKM2iOAc

   • Chp 7.4 Greenie page 40- finish the page. NOTE: I model the substitution method on the Greenie page 40— it’s on the green graph paper in the solutions which are posted above and here

   • Textbook p. 321 #41

8. Graphing Linear Equations 8.1 (is it linear? is the rate of change constant?)

   • Read examples on pages 338-340. Do problems 7-21 odds, 29

9. Preview of Slope of a Line 8.2 positive slope, negative slope, zero slope (horizontal), vertical lines (undefined slope)

   • Calculating slope from a graph WATCH this video on figuring out slope by looking at the graph of the linear function. (To earn PENTAGON points take notes for an extra credit point) DO the problems Kevin tells you to pause the video and do.

   • What is the equation of a horizontal line? of a vertical line? Mario’s Math Tutoring on equation of the horizontal and vertical line (To earn PENTAGON points take notes for an extra credit point)

10. Preview of 8.4 Point-Slope Form

    • How to write an equation of a line in point-slope form given two points from Mario math tutor Point Slope Form of a Line - How to Write - YouTube (To earn PENTAGON points take notes for an extra credit point)

This homework introduces the last part of chp 5 rigid transformations and continues our chp 8 graphing lines work. There are A LOT of videos to help you, so make time to watch them. If you take notes on at least half of the videos you can earn PENTAGON extra credit points.

1. Add any chp 3 & chp 4 notes into your math binder that you will want to use on the Math 8 chp 3 & 4 quiz.

2. QUIZ Math 8 Chp 3 & 4 take home quiz - due on Thursday. (quizzes posted 6:30 pm Tuesday)

3. Combined Transformation Chp 5.8 Read examples on page 239-240. Do 5-11 odds

4. Graphing Linear Equations Chp 8.1 (Is the rate of change constant? How does one graph a line? One way to graph a line is by making a table of ordered pairs. One makes a table of ordered pairs by plugging in a value for x and finding out what y is then. This makes y dependent upon what value one plugs in for x. I’ll teach you another way to graph a line in section 8.3.)

   • Review this Math Antic Videos about linear functions & slope. (13 minutes) Note: linear means in a straight line, no curves! So if the graph of an equation is a straight line, it is linear. If it is linear, then it has a constant rate of change (meaning its slope DOES NOT CHANGE. It is CONSTANT.)

   • How to figure out what the rate of change is from a table of x’s and y’s. Rate of change video from Brian: 2 minutes https://www.youtube.com/watch?v=vFXXStHpfaQ & optional 4 minute video https://www.youtube.com/watch?v=6cqQzI3RrqQ&list=PL0G-Nd0V5ZMrdoj-MFw0FR7CSAAON0gU0&index=3

   • Greenie page 41 evens (I recommend you re-read examples in the textbook for chp 8.1.)

5. Slope of a Line 8.2

   • Two Videos from Richard of AoPs

     • Richard reminds us what slope is and how to find it (10 minutes). https://www.youtube.com/watch?v=5z6IduhkeF0 (take notes for PENTAGON extra credit points)

     • Richard walks us through positive and negative slopes, slope of a horizontal line is zero (y=some number), vertical line has an undefined slope, steepness of slope, what does a line with a slope of 1 look like? (10 minutes) https://www.youtube.com/watch?v=Nl0AAmARm18

   • Read pages 345—347. (You can also read Orange Al 8.3 pg 360-361 if you want a different explanation.)

   • Now DO chp 8.2 Do problems 1-9 odds pg 347-348

6. Using Slopes & Intercepts 8.3 aka Slope Intercept Form or y = mx +b

   • Videos to help you with this section which we did NOT have time to learn in class on Monday:

     • How to find the x & y intercepts of a line? 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

   • Read pages 350-352. Do Problems 1-11 odds

7. Point-Slope Form 8.4

   • Richard of AoPs explains what Point-slope form means and can do for us (9 minutes) https://www.youtube.com/watch?v=xa_QG-dZEjo

   • Mario’s math intro to point-slope form (2 minutes) — pause the video and try to do problem 2 before Mario does it. https://www.youtube.com/watch?v=SqFj06Y3tl4

     • Optional additional video: Organic chem tutor intro to Point-Slope Form https://www.youtube.com/watch?v=XzG-fi__hsU

   • Read 8.4 pages 356-357. Do problems 1-7 odds, and 8. (We aren’t going to do problems like in example 3 yet)

8. Preview 8.5 Direct Variation

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

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