Homework by liaoqinmei

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									      Homework 1A1a
   Finish on worksheet 1-1,
   Expressions and Formulas
p. 1 problems 3, 9, 12, 18 & 24
         p. 2 problem 3
   Finish on worksheet 1-2,
  Properties of Real Numbers
 p. 7 problems 4, 11, 14, & 20
    p. 8 problems 3, 9 & 18
     Find the Perimeter and
     Area of the Rectangle

2x
         4x +5
     Find the Perimeter and
     Area of the Rectangle

3x
         7x -25
   Vocabulary Builder
 Use the textbook to find and
   define the vocabulary for

Unit 1: Solving Equations and
          Inequalities
  Lesson A2U1L1 a:
 Order of Operations
       Motivation:
  Order, Order, Order!
   What do the words
ace, lost, bent, and below
    have in common?
 The letters of each word
Hint : Look at the order of
 are in alphabetical order.
         the letters
       Order of Operations
Objective: The student will:
• use the order of operations and
  properties of real numbers to
  evaluate expressions;
   Order of Operations
      Going on a Trip
Arrange the five sentence
 strips in the proper order.
  Close the car door.
 Unlock the car door.
 Buckle the seat belt.
  Drive the car.
   Open the car door.
   Order of Operations
      Going on a Trip
This is the proper order.

Unlock the car door.
Open the car door.
Close the car door.
Buckle the seat belt.
  Drive the car.
        Order of Operations
     Arrange the four sentence
      strips in the proper order.
    Do all multiplications and/or
      divisions from left to right.
  Exponents. Evaluate all powers.
    Do all additions and/or
      subtractions from left to right.
Parentheses - Evaluate expressions
 inside grouping symbols.
      Order of Operations
    This is the proper order.
Parentheses - Evaluate expressions
 inside grouping symbols.
Exponents. Evaluate all powers.
  Do all multiplications and/or
   divisions from left to right.
  Do all additions and/or
   subtractions from left to right.
     Order of Operations
   Evaluate the expression.


 54  3  9  6 
The correct answer is 6, because
             3
     Second        First
         33 = 27   (9 – 6) = 3
 Our new expression is
 54 / 27 * 3
  Third            Fourth
  54 / 27 = 2      2*3=6
     Kobe and Kameron are
evaluating . Their work is shown
  below. Who is correct? Use
 what you know about order of
   operations to explain your
             answer.

         3  8  5
           3


         20  2  2
               3
                  3  8  5
                    3


                  20  2  2
                        3
   Kobe                            Kameron
33   8  5     27  3   3  8  5
                            3
                                           27  3
                                      
20  2  2 20  8  2
        3
                           20  2  2 20  8  2
                                 3

                  24                        24
                                      
                 12  2                  20  16
                 24                      24
                                      
                 24                       4
               1                      6
Work on the worksheet 1-1
 Expressions & Formulas
   p. 1 problems 1-15

  Only after you finish the
first 10 problems, may you
  put one on the board for
        extra credit!!
     Evaluating Expressions
    Determine which keystroke
combination is correct to evaluate
  the expression           b+cd
  when a=1 b=4 c=2 & d=3 a+c2


 4  23
  1 2 2
 Work on the worksheet
Expressions & Formulas
  p. 1 problems 16-27
 p. 2 problems 1, 2, & 4
  Only after you finish the
first 10 problems, may you
  put one on the board for
        extra credit!!
   Closer 1A1 #1

  Evaluate:

60  48  2  43
       Closer 1A1 #2
Evaluate the expression if
 x = 3, y = 5, and z = 8.
            2
         x y
          z
       Closer 1A1 #2

Evaluate the expression if
 x = 3, y = 5, and z = 8.


4 x( z  y )  6 x
    Lesson A2U1L1 b:
Properties of Real Numbers
             Motivation:
Write 5 different types of numbers
   Properties of Real Numbers
 Type of Number         Points
   Whole Number            1
  Negative Number          1
       Zero                2
    Rational Number        2
   Irrational Number       5
Trancendental Number 10
Use the chart on 1-2 p. 7 to score
 your numbers
  Properties of Real Numbers
Objective: The student will:
• classify real numbers;
• use the properties of real numbers to
  evaluate expressions;
Classifications of Real Numbers
RE Real Numbers        All Rational and Irrational Numbers


IR Irrational       Numbers that cannot be expressed
   Numbers          as a fraction. {all non-terminating,
                    non-repeating decimals.
RA Rational Numbers Numbers that can be expressed as
                    a fraction. {a/b when b≠0}

IN Integers            {…,-5,-4,-3,-2,-1,0,1,2,3,4,5,…}

W Whole Numbers        {0,1,2,3,4,5,…}
N   Natural Numbers    {1,2,3,4,5,…}
   Rules for Sets of Real Numbers
All Natural Numbers are:
• Whole Numbers, Integers, Rational Numbers,
  and Real Numbers.
All Whole Numbers are:
• Integers, Rational Numbers, and Real Numbers
All Integers are:
 • Rational Numbers, and Real Numbers
 All Rational Numbers are Real Numbers
All Irrational Numbers are Real Numbers
No Rational Numbers are Irrational Numbers
No Irrational Numbers are Rational Numbers
        Sets of Real Numbers
Use the chart to place these numbers in the
 appropriate classification.
7
    Natural Numbers, Whole Numbers, Integers,
     Rational Numbers, and Real Numbers
-6.3
       Rational Numbers and Real Numbers
π
       Irrational Numbers
       Sets of Real Numbers
Use the chart to place these numbers in the
 appropriate sets.
17
     Irrational Numbers

2/3
      Rational Numbers and Real Numbers

-3
 Integers, Rational Numbers, and Real Numbers
Properties of Real Numbers
Use your skills and notes to determine
       the type of number for p. 7
  1-2 Study Guide and Intervention
     Properties of Real Numbers
          problems # 1 - 20
Properties of Real Numbers
  Property          Addition          Multiplication
Commutative       x+y=y+x              x*y=y*x

 Associative    x+(y+z)=(x+y)+z      x*(y*z)=(x*y)*z

   Identity     x+0=x=0+x            x*1=x=1*x

   Inverse      x+ (-x)=0= (-x) +x   x*1=1=1*x
                                       x   x
 Distributive   x (y+z) = xy + xz    (y+z) x = yx + zx

  A number’s additive inverse is
  called it’s opposite number.
A number’s multiplicative inverse is
called it’s reciprocal.
Properties of Real Numbers
Read the chart at the top of p. 8
 1-2 Study Guide. Use the chart
 to simplify each expression on
 p. 8 1-2 Study Guide problems
 # 1-18
        Lesson A2U1L1 c
        Solving Equations

Objective: The student will:
• solve equations using the properties
  of equality
     Solving Any Equation
        Isolate the variable
   Step 1: Combine Like Terms

  Step 2: Add the Opposite Term.

Step 3: Multiply by the Reciprocal of
   the Coefficient of the Variable.
 Solving Equations by using
 Multiplication and Division.
        Isolate the variable
   Step 1: Combine Like Terms

  Step 2: Add the Opposite Term.

Step 3: Multiply by the Reciprocal of
   the Coefficient of the Variable.
 Solving Equations by Using
 Multiplication and Division.
         Isolate the variable
   Step Multiply by the Reciprocal
    Step 1: Combine Like Terms
Step 3: 2: Add the Opposite Term. of
There are no Like Terms to Combine.
   the Coefficient of the Variable.
        1         1
          8x  56  
        8      56 8
             x
                 8
                x7
    The reciprocal of 8 is 1 / 8.
 Solving Equations by Using
 Multiplication and Division.
         Isolate the variable
   Step Multiply by the Reciprocal
    Step 1: Combine Like Terms
Step 3: 2: Add the Opposite Term. of
There are no Like Terms to Combine.
   the Coefficient of the Variable.
      43        4
      4  x  21  
     3      84  3
             x
                  3
             x  28
   The reciprocal of 3/4 is 4 / 3.
 Solving Equations by using
  Addition and Subtraction.
        Isolate the variable
   Step 1: Combine Like Terms

  Step 2: Add the Opposite Term.

Step 3: Multiply by the Reciprocal of
   the Coefficient of the Variable.
 Solving Equations by Using
  Addition and Subtraction.
         Isolate the variable
   Step Multiply by the Reciprocal
    Step 1: Combine Like Terms
Step 3: 2: Add the Opposite Term. of
   the Coefficient of the Variable.
There are no Like Terms to Combine.

          x  8  11
            8  8
              x 3
     The opposite of +8 is – 8.
 Solving Equations by Using
  Addition and Subtraction.
         Isolate the variable
   Step Multiply by the Reciprocal
    Step 1: Combine Like Terms
Step 3: 2: Add the Opposite Term. of
   the Coefficient of the Variable.
There are no Like Terms to Combine.
          y  5  19
            5  5
               x  24
     The opposite of – 5 is + 5.
 Solving Equations with the
  Variable on Each Side .
         Isolate the variable
   Step Multiply by the Reciprocal
Step 3: 2: Add the Opposite Term. of
    Step 1: Combine Like Terms
   the Coefficient of the Variable.
        3x  9  65  5x
       5 x  9  9  5 x
            8x  56 
        1          1
                       
        8       56 8
               x
 The opposite of 98is – 9; The
   The reciprocal5x is 1 / 8.
    There are no Like Terms.
    opposite of –of7 5x.
              x 8
     Solving Equations with the
       Variable on Each Side.
         Isolate the variable
   Step Multiply by the Reciprocal
    Step 1: Combine Like Terms
Step 3: 2: Add the Opposite Term. of
   the Coefficient of the Variable.
   21  9x  11x 13
  13  9 x  9 x  13
        1           1
          8  2x  
         2 8        2
     There are  x  4 13. 2.
                of 13 is –
   The oppositeno Like Terms.   The
       opposite of of 2 – 1 /
    The reciprocal 9x is is 9x.
             2
         Think-Pair-Share
With a partner, solve Problems # 1, 2, & 3
        on page 14 of worksheet 1-3
      Study Guide and Intervention
           Solving Equations.
One partner will write the problem and its
          solution on the board.
 The other partner will explain how the
           solution was found.
Work on the worksheet 1-3
   Solving Equations
  p. 13 problems 1-11
  p. 14 problems 1-25
 Only after you finish the
first 8 problems, may you
 put one on the board for
        extra credit!!
 Solving for One Variable Using
       the TI-83 Calculator
   b + 9 = 17
Enter the leftthe letter graph
Enter the ZOOM 6 of view any
  Substitute side to x for
Press the right sideto the a
Press      ZOOM 3 of the
 the equation of the equation.
 equation in Y2:
 larger graph
   other in Y1:
 equationletter.
    x + 9 = 17
   Solving for One Variable Using
         the TI-83 Calculator
b + 9 = 17
b = 8. Press

     x + 9 = 17
     x = 8.
  The value of value
 Therefore, the x is 8. of b
  is 8.
Setting up and solving a
  problem involving a
        formula
               letter x for the
Substitute the numbers for
  the variables (letters).
 unknown variable (letters).
 A = lw, when A= 48 & w=8
           48 = l 8
           48 = x 8,
         Solve for x.
 Solving for One Variable Using
        the TI-83 Calculator
48 = x 8
     Enter thetheZOOM 6 to graph
       the the left ENTER the
PressPressZOOM 3side of the
 PressEnter right side of to
         the
        the equationY1:
   view equation in
 ZOOMa3larger graph of the
      equation in Y2:
 ENTER to
   equation.
 view a
 larger
 graph of
 the
 equation.
    Solving for One Variable Using
           the TI-83 Calculator
  48 = l 8
l = 6. Press

     48 = x 8
     6 = x.
  The value of value
 Therefore, the x is 6. of l
  is 6.
   Check worksheet 1-3
    Solving Equations
   p. 13 problems 1-11
   p. 14 problems 1-25
using the TI-83 Calculator.
 Only after you finish the
first 8 problems, may you
 put one on the board for
        extra credit!!
   Setting Up Word Problems

Step 1: Highlight math numbers/words
Step 2: Create a number sentence.
Step 3: Use the steps from Solving for One
  Variable Using the TI-83 Calculator.


     • Copy today’s notes into
       your “notesbook”!
     Setting Up Word Problems
 Step 1: Highlight math numbers/words

Randy Anderson got a raise of 73¢ per hour.
 He now earns $8.45 per hour. What was his
 hourly rate before his raise ?
  Step 2: Create a number sentence.



         $8.45 =    x      + .73
 Step 3: Use the steps from Solving for
 One Variable Using the TI-83
 Calculator.
      Press
8.45 = x + .73

    x = $7.72
The value of x is 7.72.
   Work worksheet 1-3
    Solving Equations
   p. 16 problems 25-26
Check p. 16 problems 25-26
 using the TI-83 Calculator.

Only after you finish the first
8 problems, may you put one
on the board for extra credit!!
  Closer A2U1L1 #1
Evaluate the expression
       -2b + a2c

when a=4 b= -3 & c = 1/2
         Closer A2U1L1 #2
Admission to Six Flags is $42. A chicken
 box costs $5.50. If you have only $70 total
 to spend for admission and pizza. How
 many chicken boxes can you buy?
         Closer A2U1L1 #3
The elements of set A consists of factors of
  15. The elements of set B consists of
  factors of 21. What is A U B?
a. { }
b. { 1 }
c . { 1, 3}
d . { 1, 3, 5, 7 }
e . { 3, 6, 9, 12, 15, 18, 21 }

								
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