Natural Numbers- Positive Whole Numbers, 1,2,3,4
Whole Numbers- Natural Numbers and Zero,
0,1,2,3,4
Integers- Positive and Negative and Zero
Rational- Integers, fractions, repeating decimals,
terminating decimals
Irrational- long ugly decimals, like π
Real- Everything not imaginary… literally
NEGATIVE EXPONENTS MAKE SMALL NUMBERS
POSITIVE EXPONENTS MAKE BIG NUMBERS
THE EXPONENT SAYS HOW MANY TIMES TO MOVE THE DECIMAL!
CONVERT ALL THE NUMBERS INTO DECIMALS… THEN DON’T BE DUMB
Similar shapes have congruent angles and proportional sides… like a dilation
The figure is enlarged or reduced by the scale factor
SCALE FACTOR LESS THAN 1 = REDUCTION
SCALE FACTOR MORE THAN 1 = ENLARGEMENT
Algebraic representation of a dilation
(𝑥, 𝑦) → (𝑘𝑥, 𝑘𝑦)
PROPORTIONAL RELATIONSHIPS ARE:
LINEAR
𝑌
= 𝐶𝑂𝑁𝑆𝑇𝐴𝑁𝑇 𝑆𝐴𝑀𝐸
𝑋
PASSING THROUGH THE ORIGIN (0,0)
SLOPE= UNIT RATE
X
Y
-2
12
-4
16
-6
20
SLOPE-INTERCEPT FORM
1.FIND THE SLOPE
2.SUBSTITUTE A COORDINATE PAIR
FOR X & Y
3.SOLVE FOR B, THE Y-INTERCEPT
***CALCULATOR REMINDER****
PROPORTIONAL
Y=KX
NON-PROPORTIONAL
Y=MX+B
BE ABLE TO WRITE AN EQUATION FROM WORDS:
FRAN IS PLANNING A PARTY. THE COST FOR 20 PEOPLE IS $290. THE COST FOR 45 PEOPLE IS $590.
WRITE AN EQUATION TO REPRESENT THE COST, Y OF HAVING A PARTY FOR X PEOPLE.
CAREFUL
RADIUS VS. DIAMETER
VOLUME OF A SPHERE
SURFACE AREA RECTANGULAR PRISM
PYTHAGOREAN
THEOREM ON
COORDINATE
PLANE
CALC
ULAT
OR
REMI
NDE
R
−5𝑋 + 14 > 34
SOLVE A SYSTEM OF EQUATIONS
Y=X+3
Y=-2X-3
CALCULATOR
REMINDER
MEAN ABSOLUTE DEVIATION
GOOD SAMPLES ARE:
UNBIASED
REPRESENT THE POPULATION
RANDOMLY GENERATED
SIMPLE INTEREST
I=PRT
SOLVES FOR INTEREST ONLY
COMPOUND INTEREST
A=P(1+R)T
GIVES PRINCIPAL + INTEREST
YOU WANT LOW INTEREST ON LOANS/HIGH INTEREST IN SAVINGS
CREDIT CARDS- SPEND NOW, PAY AT THE END OF THE MONTH
DEBIT CARDS- TAKE MONEY FROM CHECKING ACCOUNT RIGHT AWAY
REWARDS CARDS- DISCOUNTS; NO VALUE
GIFT CARDS- VALUE ON CARD, SPECIFIC STORE ONLY
COLLEGE:
2 OR 4 YEAR SCHOOLS
COST VARIES
*MAKE SURE YOU HAVE A CALCULATOR
*IF YOUR TEACHER GIVES YOU THOSE CRUMMY BLUE PENCILS, ASK FOR AN
ERASER
*CLEAR YOUR CALCULATOR AT THE END OF THE TEST
*READ CAREFULLY, LOOK FOR KEY MATH WORDS, AND DON’T MESS UP THE
EASY STUFF
*STUCK? LOOK AT THE STAAR REFERENCE SHEET OR OTHER PROBLEMS
*REVIEW
*GET PLENTY OF REST
*EAT
*GET PLENTY OF REST