8th Grade Math

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Welcome to Mr. Competello’s 8th Grade Math class page!

 

OPERATIONS WITH POLYNOMIALS

Posted on May 14, 2019

Be sure to complete all outlined work from Chapter 5 in Foundations Book.  Also, computations from the Khan Academy Youtube presentations should be noted.

On Thursday, May 16, a test will be given based on the pages that were assigned in the Foundations Book on polynomials.

This will include all four operations as well as the FOIL process.  Thursday will also include a notebook check on all assigned work on polynomials to this point (Tuesday, May 14).  Please be prepared for this test and the notebook check. 

APRIL – VOLUME

Posted on March 31, 2019

VOLUME

  1. THREE DIMENSIONAL GEOMETRY

Sourcebook – 12-5   (p. 326-327)  Overview and review content presented here.  Carefully study the example on p.327.  Describe how the volume of water needed to fill spaces outside the cylinder and within the prism is found.

 

Do page 327  #4

      ½ (b1 + b2) X 26

[ ½ (b1 + b2) X 26 ] X 18

 

Foundations Book – (12-5) – Complete 1-12

 

  1. Show Computation page 369

 

  • Foundations Book page 370 ( 14, 1, 18, 20, 22, 23 )

 

  1. Volume of Cones

 

Foundations Book  Study example at left in gray area on page 371.  Apply that formula to page 372 ( 11, 13, 15, 17 )

 

PARALLEL LINES CUT BY TRANSVERSALS

CALCULATING ANGLE MEASUREMENTS ALGEBRAICALLY

 

  1. Getting the Idea – Lesson 22 pp. 229 and 230

   Review pp. 313-319 from the “handout”.  Be sure to complete each question and give a reason when applicable.

  1. Review from Foundations Book    267 & 268.

Sourcebook – Focus closely on p.238 & 239 .  Can you explain clearly p.239 examples 1 &2? Do “Try These”  p.239

  1. Foundations Workbook – Do p.269 &270 Do the Challenge
  2. Practice Coach Plus – p. 224 to 228, p. 231 #11.  Give reasons for your answers.
  3. Progress Book  – pp. 264-265.  Complete answers in book.
  4. Youtube – review lessons
  5. Go Math

  

TRANSFORMATIONAL GEOMETRY

Posted on March 9, 2019

 

 

GEOMETRY DOMAIN

Topic one TRANSFORMATIONAL GEOMETRY

Review the Kahn Academy Youtube Introduction to transformational geometry.

Note the four types of transformations and describe each.

REFLECTIONS OR FLIP

TRANSLATIONS OR SLIDE

ROTATIONS OR TURN

DILATIONS OR ENLARGEMENT/REDUCTIONS

 

COORDINATE PLANE: REFLECTIONS AND TRANSLATIONS

                Translations and reflections are geometric transformations that create images.  Foundations in Math  p. 315 – note well the information presented in the gray section.  Be sure to note the rules for reflections and translations.  Do # 1 to 3 at the bottom of p. 315, and # 4,5,6 at the top of p. 316.  Study #10 at the bottom of p. 316 very carefully. 

In Finish Line  book, note well information presented on p. 104.  Complete pp 105 to 111.  All of the information on the above pages should present you with the ability to complete the following question: (In your notebooks) Describe how to reflect a figure over each axis.  Use a triangle to illustrate your explanation. Also describe the effect of transposing the x and y coordinates of the vertices of a triangle.  Again, use an illustration to demonstrate your answer. 

VERIFYING PROPERTIES OF REFLECTIONS AND TRANSLATIONS:

                The essential question here is

“What are the important properties of reflections and translations?”

Progress in Math – After reading pp204-207, note well the questions from the guided practices pp.208 & 209. 

Upon completion of all the above work go to lesson 24 in Practice Coach p. 192 and complete all pages from 192 through 199.

 

ROTATIONS – Review and reinforce the information on rotations from the Khan Academy youtube.  Remember that in rotating a figure, we think of a rotation as clockwise or counterclockwise at 90 degrees , 180 degrees or 270 degrees.  Remember to carefully note the rules presented for both clockwise and counterclockwise and the application of these rules. (Teacher presentation)

Using various “coached examples” from the handout complete all questions dealing with rotations.

From Finish Line book review p. 112 and complete pp. 113 to 115.

VERIFYING PROPERTIES OF ROTATIONS:

Progress in Math – p.212 and 213

Foundations in Math – p.317 – note well rules presented in the gray section.  Do #1-6 on p.317 and

 # 7,8,9, 12,13 on p.318

 

DILATIONS Review and reinforce the information on dilations from the Khan Academy youtube.

Practice Coach Plus book – lesson 25 – Do pp 201 through 207

Finish Line Book – note well information on p.116 – Do pp. 117-118-119

REVIEW INFORMATION ON COORDINATE GEOMETRY

Common Core Coach Book – p.108, 109, 112, 113, 117, 118 (#1-6 on 118), 122 #1-6.

Progress Monitor – Benchmark 1 Book A.  Be sure to have the checked-off questions that deal with transformational geometry.  Remember that you will be given the answer to the multiple choice question and you are to prove how that answer is correct by doing the sequence of transformations.  

EXPLORING ANGLES OF TRIANGLES

INTRODUCTION TO CALCULATING THE MEASURE OF ANGLES ALGEBRAICALLY

  1. Using the “handout” be sure to note these terms and understand their meaning:

Similar triangles, corresponding angles, corresponding sides, angle, angle similarity theorem, exterior angle, remote interior angle, supplementary angle, complimentary angle.

  1. Note well the examples on p. 243(handout) – the relationship between remote interior angles and exterior angle.
  2. Do the Coached example on p. 244
  3. Lesson – 27   Coach Book – Explain 2 methods from p. 216
  4. Apply ( p.217) Show and explain your work. Complete p. 218, 219, 220, 221
  5. Complete p. 222,223 – for overall review of content

 

 

 

 

INTRODUCTION TO FUNCTIONS

Posted on February 11, 2019

INTRODUCTION TO FUNCTIONS

 

INTRODUCTION TO FUNCTIONS

Use the handout to note the important words that you need to ‘get the idea’- read pp 128 to 136.

Be sure to fill in every example and do all the coached assignments.

What are the main characteristics of functions?

BE SURE TO NOTE THE SOLUTIONS AND WHAT STRATEGIES WERE APPLIED.

Write a paragraph describing what is needed for an equation to be a function.

What is meant by the vertical line test?

FOUNDATIONS IN ALGEBRA

KEY CONCEPTS TO REMEMBER

CHAPTER 6 PP175 /176 COMPLETE  1 TO 6. BE SURE TO DO THIS ON GRAPH PAPER FOR A HOMEWORK GRADE.

ALSO…….NUMBERS 7 to 16 (hint use a mapping diagram to answer these questions).

On page 176….apply the vertical line test to answer questions 17 to 22.

Apply what you have learned to this point to answer numbers 23 and 24.  IT IS NECESSARY TO WRITE WHAT YOUR RATIONALE IS IN ANSWERNG THESE PROBLEMS.

SOURCEBOOK SECTION 6/2 WRITING A FUNCTION RULE –  COMPLETE THE “TRY THESE”, 1 TO 4

NOW… IN THE WORKBOOK COMPLETE ALL OF PAGES 177 AND 178.

SHORT QUIZ GIVEN AT THIS POINT.   YOU SHOULD BE ABLE TO:

1.       Understand the meaning of functions and identify functions and non-functions in different forms and represent functions in different forms.

2.       Compare functions that are represented in different forms.

3.       Determine whether a function is linear based on its equation ,table, or graph.

4.       Find an equation for the linear function that models a relationship based on a table

5.       Analyze graphs of functions and explain.

Be sure to complete

Performance Coach Lesson 12 pages 128 to 137

Progress book pp 137 to 140 – this is lesson 13

Progress book lesson 14 pages 149 to 153

Performance Coach Book Lesson 15 pages 154 to 157

Performance Coach Book lesson 16 pages 163 to 168

AT THIS POINT YOU WILL LIST ALL THE REVIEW TOPICS FOR THE NEXT TESTS.

THE TEST WILL BE OVER TWO DAYS CONSISTING OF 30 QUESTIONS AS WELL AS WORD PROBLEMS

TEST DATES TO BE ANNOUNCED WEEK OF FEB. 4

 

WEEK OF February 11, 2019

This week we will have an intensive review of consumer math.

Looking at chapter 8 in the “old progress text 8”we will discuss all the content in consumer math.

After extended discussion of the content you are responsible for pages 230 and 231. These 27 problems cover all the computations. You should now be able to do the word problems.

All the problems will be done in  our math groups. It is your responsibility to do the class work on loose leaf paper to be handed in with computation and explanations.

This will count for a major test grade.

Due date to be determined.

PROGRESS MONITOR QUESTIONS AS OUTLINED IN CLASS.

THESE ARE PROBLEMS COVERING ALL THE MAJOR MATH CONCEPTS YOU SHOULD KNOW.

Again, these answers must be explained .

Simply choosing a letter choice is not acceptable. You must support your choice with an explanation and/or a computation.

Percent Applications……..A REVIEW OF THE APPLICATION OF PERCENTS IN CONSUMER MATH

After a major review of all the content of chapter 8 in FOUNDATIONS and an example of each problem put in your notes, you are to complete pp230 and 231 in Progress Purple text.

Each problem should have a rationale connected to a computation. This work will be due FEBRUARY 25.

IT WILL COUNT AS A MAJOR GRADE. This may be the last major test grade for the trimester.

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