CRCT Review by mikeholy

VIEWS: 5 PAGES: 54

									Problem
Solving
Strategies
          Estimate

•   Fractions:
    Estimate to 0, ½ , 1

•   Decimals: Estimate

•   + - × ÷: Estimate
    Draw a picture
• prime factor tree
• fractions

• area, perimeter,

  volume, surface area
    Make a Chart

 factors
 multiples

 equivalent fractions

 ratios
     Guess and Check
•   Algebra

           “n” – 15 = 35

    a. 20 b. 50 c. 45 d. 10
     Look Back

Does the answer make
sense?

Is it reasonable?
CRCT Review
 Numbers and
Operations Unit
 Greatest Common Factor
Find the GCF of 4 and 12

Factors of 4: 1,2,4
Factors of 12: 1,2,3,4,6,12

The GCF of 4 and 12 is 4
   Least Common Multiple
   Find the LCM of 3 and 12

Multiples of 3: 3,6,9,12,…
Multiples of 12: 12, 24, 36,…

  The LCM of 3 and 12 is 12
Prime Factorization

Factor Tree    (Student Video)


       100

      25 x 4

     5x 5    2 x 2 = 5x5x2x2
           Fractions
 Estimate.. Estimate.. Estimate..

Is the fraction closer to 0 ½ or 1?

Draw a picture if you have a doubt
    Equivalent Fractions
The fractions 2/3, 4/6, and 6/9
are equivalent fractions. They
name the same basic fraction
2/3.

You can re-name fractions by
multiplying by the GIANT 1
method
    Comparing Fractions
Fractions can be compared using
cross multiplication.

Which fraction is larger 5/9 or
4/5? Of course, 4/5!

            5       4
            9       5
           Fraction Basics
Add and Subtract:
 Denominators must be the same!
 (Video) (Student Video)

Multiply: Top, Bottom, Simplify
 (Student Video)

Divide: Just flip the second and
 Multiply   (Student Video)
            Decimals
    Estimate… Estimate.. Estimate

When placing decimal numbers in
  order, annex zeros (if needed)
   Which is larger 11.19 or 11.9?
 Annex zeros to give both decimals
 the same number of places after
 the decimal. 11.19 / 11.90.
You can see that 11.90 is the larger!
Decimals – Add / Subtract
     This one is easy!

Just line up the decimals!
        (Student Video)
     Decimals - Multiply
Just multiply as usual. Then, count
the number of places to the right of
both decimal numbers. Move the
decimal this number of places to the
left in your answer!
       What is 3.2 x 0.1?
 32 x 1 = 32. Move the decimal 2
  places to the left to equal 0.32
           (Student Video)
        Decimals - Divide
Remember, the divisor must become a
 whole number before dividing!


         0.5 18.45
Move the decimal in the divisor
 and the dividend 1 place to
 the right (Student Video)
   Percent (%) of a Number
    Change the % to a fraction &
              multiply
                or
    Change the % to a decimal &
             multiply.

         What is 10% of 200?
1/10 x 200/1 = 20 or .10 x 200 = 20
             (Student Video)
     Fractions to Decimals
To change a fraction to a decimal, just
 divide as usual. Annex zeros and
 remember the decimal point in the
 answer!
       Change 3/5 to a decimal
                    0.6
                  5 3
   (Student Video) (Student Video)
Percents to Fractions
 Remember, percent means
     “per hundred”
 What is 33% as a fraction?
           33/100

       It’s that easy!

       (Student Video)
Fractions-Decimals-Percents
1         1.0     100%
½         .50      50%
1/3       .333     33.3%
¼        .25       25%
1/5      .20      20%
1/10     .10      10%
CRCT Review
 Measurement
 Unit
             Length
Standard Units   Metric Units
1 yd = 3 ft      1km = 1000 m
1 ft = 12 in     1m = 100 cm
1 mi= 5,280 ft   1cm = 10 mm
         Metric Length
         Units of Measure:
Millimeter (mm)
Centimeter (cm)
Meter (m) about 1 yard
Kilometer (km) about ½ mile


             (Student Video)
      Customary Volume
Customary Units   Metric Units
1gal = 4 qt
1gal = 8 pints
1gal = 16 cups
                     Perimeter
                 The distance around
                   any closed figure.
A border is put around a
rectangular room that is 12ft wide
and 10 ft. long. How much border
material is needed?
Answer: 44 ft.



                      (Student Video)
  Area of Rectangular Prisms
The number of square units needed to
    cover a surface enclosed by a
          geometric figure.
Surface Area of a Rectangular Prism
  Length x Width or Base x Height

How many 1-inch tiles are needed to
cover a square table with a side
measure of 20 inches?
 Answer: 400 square inches   (Student Video)
Surface Area of Rectangular Prisms

        “Panther Method” times 2

What is the total surface area of a
cereal box that measures 8in. by
2in. by 11in?


 Answer: 254 square inches

                     (Student Video)
Volume of Rectangular Prisms
           in 3D!
          Length x Width x Height


What is the volume of a container
with length 10cm, width 2cm, and
height 6cm?

Answer: 10cm x 2cm x 6cm = 120 cubic cm
     Circumference of Circles


                   ∏d            or 2∏r
What is the circumference of a tire
with a diameter of 20 inches?
Answer:
Since pi = 3.14 and the diameter is 20 inches, then the circumference is 3.14 x 20
inches or 62.8 square inches!
                  Area of Circles

(∏r squared)

   What is the area of a pizza with a
          radius of 6 inches?

Answer: Since pi = 3.14 and the radius is 3cm, the area of this circle is
3.14 x 36 inches or 113.04 square cm.
CRCT Review
 Geometry
     Congruent Figures
2 figures are congruent when they
are the same shape and the same
size.



   2in. X 4in.     2in. X 4in.
       Similar Figures
2 figures are similar when they are
the same shape but not the same
size.
These triangles are similar. What
is the length of the base of
triangle 2?
      1                2

   6             10   5        3

             4            ??
 Answer: 2
    Geometry:Textbook Sites
Chapter 7: Proportional Relationships
7-4 Similar Figures
7-6 Scale Drawings and Maps

Chapter 8: Geometric Relationships
8-9 Congruence
8-11 Line Symmetry
        Line Symmetry

A figure has line symmetry if a
single line or fold splits the shape
into congruent halves.
a regular pentagon has 5 internal
angles and 5 lines of symmetry.
           Rotational Symmetry
A figure has rotational symmetry if it can be rotated and have the
                figure match the original position




   Order of Rotation: 5               Order of Rotation: 7

    Angle of Rotation:                 Angle of Rotation:
      360° ÷ 5 = 72°                    360° ÷ 7 = 51.4°
           Geometric Nets

 A flat pattern that can be folded to
 make a solid figure.




Cylinder   Square Pyramid     Cube
CRCT Review
 Algebra
              Patterns
Fill in the missing numbers in this
             table if y=6x
          X           y
          1           ?
          3           ?
          ?           36

         Holt Work Text
            Ratios

A ratio compares 2 numbers.
Ratios can be written in the
following ways:
     1 to 4     1:4       ¼

         Holt Work Text
                           Ratios
Cameron used 12 red beads and 60
white beads to make a necklace.
What was the ratio of red to white
beads to total beads?
a.1:5 b. 1:6 c. 1:12 d. 1:4

Answer: There are 72 total beads and 12 are red. The ratio is 12/72,
which can be simplified as 1/6 – a 1:6 ratio
         Proportions
A proportion compares 2 different
ratios and shows that they are
equal.
We can determine if 8/12 = 2/3 is a
proportion by cross multiplication.
The two ratios make a proportion
when the cross products are equal.
   Proportions: “Z Method”
           2/8 = x/24                         1/8 = 7/x
                          Holt Work Text

3 out of every 5 parents vote in an
election. If there are 450 parents,
how many can be expected to
vote?
Answer: 270 parents can be expected to vote
    Proportions in the Form
             y = kx
Jennifer earns $20 for every 2 hours
that she baby-sits. On Saturday
night, she babysat for 3 hours. How
much money does she earn?




Answer: $30
  Proportions in the Form
           y = kx
If you graph each equation below, all of
the graphs will be straight lines. The
steepest line would represent which
equation?

a. y=1/9x b. y=2/9x c. y=1/3x d. y=2/3x


          Graphing Calculator
Evaluating Algebraic Equations

When a letter is shown beside a
number with no sign, it means to
multiply!
          4a 4 x a 4·a



          (Student Video)
 Solving One Step Equations
if 4a = 36,    a=?       (9)



if n – 19 = 28, n = ?    (47)



if z + 10 = 12, z = ?    (2)



if x2 –1 = 24, x= ?      (5)



if 36/m = 6,   m=?        (6)
Evaluating Algebraic Equations

        What is the value of this
        expression when d = 3?
                  d2 + 14

     a. 20   b. 23   c. 25   d. 47



 Answer: b
CRCT Review

Data Analysis
     and
 Probability
           Probability
…the chance than an event will
 happen. Experimental probability
 approaches theoretical probability
 as the number of events is large.
        0 : cannot occur
       ½ : 50-50 chance
        1 : certain

								
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