8th Grade Math

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

 

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.

CONCEPTS TO REVIEW FOR TEST -THURSDAY-DEC.12

Posted on December 9, 2018
  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.

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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

Posted on November 17, 2018

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

Posted on October 21, 2018

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.
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