# OPERATIONS WITH POLYNOMIALS

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

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

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

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.

# CONCEPTS TO REVIEW FOR TEST -THURSDAY-DEC.12

1.  Finding the Slope of a Line From a Graph
2.  Classifying the Slope of a Line
3.  Determining the x and y intercepts by looking at the graph of a line
4. Finding the x and y intercepts without graphing given an equation in slope/intercept form
5. Changing an equation in standard form to slope/intercept form
6. Solving systems of equations by graphing

The above 6 objectives can be studied from the Foundations in  Math book -pages 181 to 186, and pages 193 & 194

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The second part of the test will include solving systems of equations algebraically.

Substitution as way of solving systems of equations

1.  Complete Foundations In Algebra book- page 196, # 1 to 16.  These problems should be completed and were handed in for a test grade.  These problems will be used for testing.
2. Progress In Math  book- pages 120 & 121 – read and be sure you understand the process required to solve systems of equations using substitution.
3. Complete the handout that will be given in solving systems of equations by substitution.

_______________________________________________________________

Also included in this test will be writing equations for lines and also graphing linear equations.

The test will be on Thursday and Friday – December 13 and 14

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NEW LESSON – WEEK OF DECEMBER 17, 2018

SOLVING SYSTEMS OF EQUATIONS USING THE ELIMINATION METHOD

Practice Coach Plus – p. 132 to 139

Common Core Coach Handout  – p 66 & 67

Foundations in Math  – p.196, # 17 to 34

Progress In Math p. 124 to 127

Write several paragraphs describing the 3 ways to solve systems of linear equations.

# SLOPE AND PROPORTIONAL RELATIONSHIPS

Using the handout given in class explain what is meant by the relationship between the slope of a line and a proportional relationship.  Review at home the YouTube presentations from Khan Academy on Introduction to Slope and  How to Find the Slope of a Line.

In Class –  SOURCEBOOK pages 162 & 163…Do page 163 # 1 to 12.

Ongoing Assignment –  Foundations In Algebra Workbook – pages 181 & 182 #1 to 30.  Be sure to use the slope formula and also explain the problem solving questions  # 29 & 30.

In Class -SOURCEBOOK – pages 164 & 165 – Complete “Try These” on p. 165 # 1 to 8

Foundations in Algebra Workbook p. 183 & 184..complete # 1 to 20

In class – SOURCEBOOK        p. 166 & 167 – writing equations in slope-intercept form  y=mx +b

Foundations in Algebra Workbook – p. 185 & 186 # 1 to 23.  Be sure to use graph paper when directed.  Be sure to graph the equations in slope-intercept form.

Progress in Math Workbook  – p. 96 to 111.  Read for review .  Be sure to complete the guided instruction and work through the guided practice and independent practices.  Various problems will be highlighted for importance.

Practice Coach Plus  – p. 84 & 85 . Do “Discuss” section and “Apply” section on p.85.  Complete p. 86 to 91.

Lesson 12 on p. 92 –   Do  “Discuss” section and “Apply” section on p. 93 and complete p.94 to 99.

GO MATH  (Reference book to be used in class) – p. 83 to 87. Complete in your notebook.

Common Core Coach 8 – Read p. 40 to 43.  Complete p. 44 & 45. Read p 46 & 47, then do p. 49 to 51.

The above assignments from GO MATH and Common Core Coach 8  will be done and reviewed in class.

The work from Progress in Math Workbook, Foundations in Algebra Workbook, and Practice Coach Plus  will be completed in class and/or assigned for homework as we progress.

# EXPRESSIONS AND EQUATIONS IN ALGEBRA

Simplifying and evaluating algebraic expressions–

Be sure to review the teaching display on page 73 in Foundations following the initial presentation.

Ongoing assignment: Be sure to complete all ongoing assignments as the topics are presented in class.  Assignments will be checked periodically and applied to your grade.

1. Complete pp 73 & 74   —   # 7 through 31.  You have the option of the challenge question on p. 74 for additional credit.
2. One-step addition and subtraction equations – Remember the subtraction property of equality and the addition property of equality. Be sure to note the various problems on pp 77 & 78 which incorporate fractions, decimals and integers.  Do problems #5 -35 on pp 77 & 78 in
3. One-step multiplication and division equations – Be sure you understand from the initial presentation, the division and multiplication properties of equality as explained on p. 79 in Remember multiplication and division are inverse operations as well as addition and subtraction.  Complete pp 79 & 80 noting the use of fractions, decimals and integers.
4. Two-step equations – pp 81 & 82 in Foundations – Use #4 on p. 82 as a model problem.
5. THE SOURCE BOOK – pp. 76 & 77 – Be sure to understand all modeled problems after initial presentation is made. Complete # 1-5 from THE SOURCE BOOK p77, and in Foundations pp. 83 & 84.
6. Multi-step equations with grouping symbols – THE SOURCE BOOK – pp 78 & 79 – Be sure to understand and be able to explain all the modeled problems. Complete p. 79 – # 1-9 and in Foundations Book -pp 85 & 86.
7. Multi-step equations with variables on both sides – THE SOURCE BOOK – pp 80 & 81 – Be able to explain these examples after the initial presentation. Do p 81, #1-4 and in Foundations book pp 87 & 88.
8. Coach Book – page 68 through 83 must be completed as a conclusion to this topic.
9. TEST PREP QUESTIONS WILL BE PROVIDED FROM ADDITIONAL SOURCES TO BE USED AS A REVIEW AND REINFORCEMENT PRIOR TO THE SUMMATIVE TEST.

October 1, 2018 – New Topic SCIENTIFIC NOTATION

Remember the following are “ongoing assignments”:

(Refer to the meaning of “ongoing assignments” in the previous posts.)

After completing these assignments and study guides, you should be prepared to be tested on the next topic – Scientific Notation”. Formative assessments will be given intermittently.  Summative assessment will be given after topic is complete.

• During class – initial presentation from Sourcebook pages 36 & 37
• Do “Try These” – p.36-37
• Ongoing assignment –
• 1.Writing numbers in scientific notation, writing numbers in standard form from scientific notation- Complete p.39 & 40,  # 1-39 in Foundations Book
• 2.  Ordering in scientific notation – p.39 (Review), p.40 #40-55 in Foundations book
• 3.  Problem solving basics in scientific notation – p.40 # 56-57 solve and check to verify your answer

• STUDY  p 80 & 81 in Progress Book- Describe how to multiply numbers in scientific notation; complete p. 41 in Foundations Book;
• Progress Book: Guided Instruction p.82 & 83-describe how to divide in scientific notation
• Do page 42 in Foundations

SOLVING WORD PROBLEMS USING SCIENTIFIC NOTATION

• The following word problems should be completed and answered as directed: Foundations Book page 40-  #56 & 57;  Page 42 – # 37 through 40;  Progress Book page 86 – # 7,8,11;
• Coach Book – all of lesson 7 from pages 52 through 67 – you should be able to solve and explain

For the summative test, you should be able to

• write numbers in scientific notation from standard form
• write number in standard form from scientific notation
• order and compare numbers in scientific notation
• multiply and divide numbers in scientific notation
• add and subtract numbers in scientific notation
• solve word problems using scientific notation in computation and answers

# Welcome to 8th Grade Math

Homework in 8th grade can vary from day to day depending on the daily progression of the classwork covered.

Due SEPTEMBER 10, 2018:

1.  Summer assignment as the first graded homework.  NO EXCEPTIONS!  LATE HOMEWORK WILL NOT BE ACCEPTED SINCE THIS ASSIGNMENT WAS GIVEN IN JUNE.

Due SEPTEMBER 14, 2018 -This has been changed from original due date.

1. Review pages and computation review pages will handed in.

ONGOING ASSIGNMENTS ON TOPIC #1 – Laws of Exponents/Operations with Exponents/Powers and Exponents:

Foundations in Algebra Book – pp 24 to 26

Progress in Math Book – read pp 32 to 34; do pp 35 to 37

read pp 40 to 42; do pp 43 to 45

read pp 48 to 50;  do pp 51 #1 and 2; do p 53 # 4,5,6

****”Ongoing assignments ” – This means topics that will be taught and explained in class through differentiated instruction.  Your responsibility is to complete these pages as specified by Mr. Competello as the class progresses.  This will be the nature of the way homework is assigned the entire year.

At least 2-3 days’ notice will be given before tests.

# spanish homework

4th grade

look up 15 parts of the body in Spanish & English.

TEST on alphabet and vocabulary on June 5

5th grade

plural rules with examples 2x

6th grade

vocabulary 2x

7th grade

IR infinitives 4x

TEST AR ER IR infinitives and vocab next week

8th grade

SER & ESTAR test next week