This is Math 8 for those of you who are going to integrated math programs in HS. For everyone else it is review as well as a preview of some geometry. Answers to Greenie work are on a button above “Greenie Answer Keys”

These are super bonus pages (HEXAGON): worth an extra 5 points on your HW!

HEXAGON Page 26 Geometric Relationships: Parallel and Perpendicular Lines - finish
HEXAGON Page 28 Geometric Relationships: Coordinate Geometric - distance and midpoint formulas
HEXAGON 46 Graphing Lines: Solving Systems of Linear Equations by Graphing (do problem one by hand, then use Desmos to do the others)

Textbook Homework

DEEPENING UNDERSTANDING

PH 10.4… Solving Quadratic Equations Using the Square Root Property

If needed review examples in section 10.4, then DO pg. 531 #1, 10, 11, 15, 19, 27 SQUARE 26

PH 10.5… Factoring to Solve Quadratic Equations

If needed review examples in section 10.5, then DO pg 538 # 1,4, 5, 7, 12, 13, 19, 20, SQUARE 23, 26

PH 10.6… Completing the Square

If needed review examples in section 10.6, then DO pg. 544 # 1, 2, 7, 8, 13, 14, 19, 20, PENTAGON 25, 41

10.7 …The quadratic formula

If needed review examples in section 10.7, then DO pg. 550 #1, 3, 10, 16, 18-23 all (you aren’t actually solving these but are deciding HOW to solve them) SQUARE 17

PH 11.1… Radical Expressions

If needed review examples in section 11.1, then DO pg 581-582 #5, 12, 13, 17, 25, 35, 37, 43, 44, 50,

PH 11.2 …Pythagorean Theorem

If needed review examples in section 11.2, then DO pg 587 #6, 7, 13, 16, 17,

PH 11.3… Distance and Mid-Point

If needed review examples in section 11.3, then DO pg 594 #1, 7, 9, 15

NEW CONCEPTS

PH 10.8 Using the Discriminant

Re-read section 10.8. Write the Property of the Discriminant definition in the your IMPs.

Do Check understandings 1-2 (but I recommend you watch a video first!)

Choose one of the support videos on the discriminant to watch and take notes. The Discriminant = b-squared - 4ac= what’s under the radical sign in the quadratic equation

What is the Discriminant? with Richard from AoPs 6 minutes https://www.youtube.com/watch?v=SKFhXIv42N4

The Discriminant 3 minute video from Organic Chem Tutor https://www.youtube.com/watch?v=6fU9ZgwbU74
The Discriminant -a longer video 25 minutes from Math & Science.com https://www.youtube.com/watch?v=VzKKgVXLvJo
Song- rap Mr. 2Pi https://www.youtube.com/watch?v=cjZpGM7veW4 — key vocab: discriminant, imaginary

PH 11.4 Operations with radical expressions

Re-read section 11.4. Add any definitions to your IMPs.

Do Check understandings

Support Videos:

Operations with radical expressions with Brian McLogan 4 minutes
How do I multiply radicals? Brian McLogan
Everything you need to know about radicals (25 minutes - Mario)

PH 11.5 Solving Radical EQ

Re-read section 11.5. Add any definitions to your IMPs.

Do Check understandings

Support Videos:

Rationalize the denominator - 4 examples (monomials and binomials with radicals in denominator Mario 5 minutes)

Using Conjugates to get rid of binomials with a radical in the denominator by creating a difference of squares to rationalize the denominator (9 minutes with Marty Brandl)

How to rationalize a denominator (in plain English, that means getting rid of a radical in a denominator.) Brian McLogan 4 minutes using conjugates to create a difference of two squares

PREVIEW PH 12.1 Intro to Inverse variation compared to direct variation (not tested)

VIDEO Is this direct variation or inverse variation? Mario 6 minutes

Week 26

study for the final exam next week

Week 26 HW May 14/15

No HW this week to turn in. Just study for the final which is next Tuesday in class.

Final Examination details

Covers chapters 1-9, emphasis on 3-9. I will include roughly an equal number of problems from chapters 3-9, fewer from chp 1-2. Probably about 5-8 problems per chapter. There will be a few bonus problems.
50% of problems will be example problems from the textbook or study guide problems. So you will have already done half of these problems.
Open: IMPS, Chp Test Notecards, old quizzes or tests, calculator.
Closed: Book, HW, neighbor, internet.

Final Study Recommendations

Determine which chapters are harder for you. Spend your time on those chapters to turn your weaknesses into strengths.
- Do that by re-reading and doing problems within each section that you find hard. (Possible problems include examples, check understandings, end of chp study guide problems.) It is not enough to simply re-read hard sections. You need to attempt a few problems. Anticipate that later chapters (7-9) will be probabily be harder, as we’ve spent less time using that material, whereas the chapters you did first semester (1-6) we’ve kept reviewing and using for months now.
- Use your test notecards to do the problems. That will help you give your test notecards a trial run.
- Videos: You could also watch videos that are posted on the Algebra Resource page to help with challenging sections. Perhaps watch 2-3 videos a day until the test. To make the most of those videos, after the first example, pause and do the next problem before the teacher does it.
- Refine/finish your notecards: Use that experience to refine your test notecards. What definitions/examples/formulas did you need on the cards but didn’t have?
Make sure you at least have notecards for chp 3-9. (You could have notecards for chp 1-2 as well if you want). If there are problems that are hard, include EXAMPLES of how to do these problems not just definitions and formulas.

Bonus (optional) GREENIE WORK — for page 30 you’ll need to look at the Math 8 textbook

HEXAGON BONUS WORK - + 5 PTS

NEW Page 29 Geometric Relationships: Congruence which lines are congruent
NEW Page 30 Geometric Relationships: Tranformations - translation, reflection, #1-4
REVIEW Page 47 Data, Prediction and Linear Functions - Scatter plots