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NOTE: All
module 8 assignments are listed below.
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8.00
Systems of Equations
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8.01 Solving Systems by Graphing
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8.02 Solving Systems by Substitution
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8.03 Solving Systems by Adding
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8.04 Motion Problems
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8.05 Digit and Coin Problems
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8.06 Taco and Enchilada Problem
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8.07 World Record Problem
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8.08 SET
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8.09 Self Test
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8.10 Module Test
Book: Chapter 8
INTERACTIVE
GAMES
8.01 Solving Systems by Graphing
Objective: To determine whether an
ordered pair is a solution to a system of equations. To find
the solution of a system of equations by graphing.
Narration: If an ordered pair is a
solution to a system, the x and y values will plug into both
equations.
Algebra Notes
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http://www.algebranotes.com/
- Lesson 7-1
Assignment: Page 360, #1 – 6, 9 – 14
8.02 Solving Systems by Substitution
Objective: To solve a system of
equations by substituting for a variable.
Narration: If a variable in one
equation of a system of equations is alone on one side of the
equation, you can substitute for that variable in the other
equation.
Algebra Notes
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http://www.algebranotes.com/
- Lesson 7-2
Assignment: Page 365, #1 – 12
8.03 Solving Systems by Adding
Objective: To solve a system of
equations by using the addition method. To solve a system of
equations, using the multiplication and addition properties.
Narration: This method involves
adding the two equations together; the left hand side of each
equation are added and the right hand sides are added. Their
sums are equal.
Algebra Notes
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http://www.algebranotes.com/
- Lesson 7-3
Assignment: Page 371: #8 – 20
8.04 Motion Problems
Objective: To solve problems
involving uniform motion.
Narration:. The grid form is
introduced. Motion problems involve the equation R * T = D,
rate times time equals distance.
Assignment: Page 383 – 84: #1 – 8
8.05 Digit and Coin Problems
Objective: To use systems of
equations to solve digit and coin problems.
Narration: Recall that any two digit number
can be written as 10x + y. For coin problems, you will have two
equations; one for the number of coins and one for the
value of the coins.
Assignment: Page 390 : #1 – 3, 5 – 8
8.06 Taco and Enchilada Problem
Objective: To solve real life
problem using systems of equations.
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Tacos and Enchiladas
At the Pico de Gallo
Restaurant the dinner specials include combinations of tacos
and enchiladas. The Number One special offers 2 tacos and 3
enchiladas for $8.00. The Number Two special offers 3 tacos
and 1 enchilada for $5.70. |
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a) Let x
equal the cost of one taco and y equal the cost
of one enchilada. Write an equation to show the cost of
each special (that's two equations in all).
b) Use what you know about solving
systems of equations to find the cost of one enchilada and
the cost of one taco. Show all work.
In a Word document,
restate the problem in your own words, then show all of your
work in solving this problem. Be sure to end with a
complete sentence that answers the questions: How much does
one enchilada cost? How much does one taco cost?
Assignment: Email your work to your online
teacher. |
8.07 The World Record
Objective: To solve real life
problem using systems of equations
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World Records
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In 1988, the
women’s world record for the 100 meter free-style in
swimming was 54.73 seconds. Since then, the record time has
been decreasing by approximately 0.33 seconds a year. The
men’s record was 49.36 seconds and has been decreasing at
about 0.18 seconds a year. If both records continue to
decrease at these same rates, in how many years will the men
and women have the same record time? |
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- A) Write an equation for the women’s
record and another equation for the men’s record.
- B) Solve the system of equations by
substitution. Explain in words the meaning of your
answer.
- C) In what year will the women’s and
men’s records be the same?
- D) Search the Web to find the
current world record for the men’s and women’s 100 meter
free-style. Enter the year 2004 into your equations from
part (a). Did the equations you wrote in part (a) hold
true for the current world record?
Assignment: Email the answer to your teacher. |
8.08 SET
Objective: To develop reasoning
skills
Narration: The more frequently you
play this game, the faster you will develop your mathematical
reasoning skills!
Assignment: Continue to play the
game of SET at least twice per week. Continue to record your
time on your Excel spreadsheet and email it to your teacher each
week.
8.09 Self Test
Objective: For you to complete the
self test with a perfect score.
Narration: Complete the self test
which is a review of the concepts you learned in this lesson
before you take the Module Test.
http://phschool.com/atschool/california/mathematics/algebra1/Student_Area/ALG1_SC8_ST_index.html
Assignment: Email your score to
your teacher.
8.10 Module Test
Your teacher will let you know how you can
complete this test.
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