The way we learn math! Dedicated to Mrs. Fry.. Mrs. Fry comes up with all sorts of ways to help make...
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Transcript of The way we learn math! Dedicated to Mrs. Fry.. Mrs. Fry comes up with all sorts of ways to help make...
The way we learn math!
Dedicated to Mrs. Fry.
(1+𝑥 )𝑛=1+𝑛𝑥1 !
+𝑛 (𝑛−1) 𝑥
2
2 !+… 𝑥= −𝑏±√𝑏 2−4𝑎𝑐2𝑎
𝑎2 +𝑏
2=𝑐2
𝐴=𝜋 𝑟 2
𝑓 (𝑥 )=𝑎0+∑
𝑛=1
∞
(𝑎𝑛 cos 𝑛𝜋 𝑥𝐿 +𝑏
𝑛 sin 𝑛𝜋 𝑥𝐿 )
72100
Mrs. Fry comes up with all sorts of ways to help make math
fun& to make it make sense.
This power point is a reminder of
all the great things she comes
up with!
Order of Operations!
[B]P.E.M.D.A.S
75/(7+8)-3 75/(15)-3 5-3 2
9[(22-17)+5(1+2)]-23
9[5+5(3)]-23
9[5+15]-23
9[20]-8 180-8 172
Translating Expressions
Expression: A mathematical phrase that contains numbers, symbols, and/or variables.
Addition: Added to, sum, increased by, *more thanSubtraction:*subtracted from, difference, *less than, decreased by, *fewer thanMultiplication: Multiplied, product, twice, double, timesDivision: half, quotient
*=SWITCHERS! (Flip)
Proportion!1) Simplest form2) Common multiplier3) Cross multiply
3c flour 6c
2c sugar 4c
1024
512
+
Negatives:
Debt
Temperature
Football
Elevation
Golf
Absolute Values:The distance an integer is from 0.
No negatives Only positives!|-456| 456
|77| 77
|42| |69| 42 69
0
Multiplying&dividing integers
+ + ++ - -- + - - - +
+ = Love- = Hate
-2 * -9 = 18-2 * 9 = -18
-8 / -2 = 4
Input&Output!
Pop Machine!
Domain: x- Coordinate from each pairRange: y- Coordinate from each pair
Function: a relationship that assigns exactly one output value (y) to every one input value. (x)
EX:(-5,2) (3,-3) (1,7) (3,0)2|7-5|20-10|20-2|101|20
Scale
Inequality: A mathematical sentence that contains <, >, < , or >
x=<777777
At least!
No more than!
X>46in
A<110 people
Must be!
Prime
Composite
A number that only has 2 factors 1&itself
A number that has more than 2 factors
OR
Rules:
2: even3: sum of digits is divisible by 3 4: last 2 digits are divisible by 45: ends in 5 or 0 6: divisible by 2 AND 38: last 3 digits are divisible by 8 9: sum of digits is divisible by 910: ends in 0
Ratios:
Ratios are comparisons of 2 things.
13Girls to 11Boys 13G;11B
Not fractions!
45671000000
Tissues to pens
Kids per desk
Unit rate
Bulky to StreamlineMiles per gallon
A rate is a ratio of two measurements having different units.
Dollars to pounds
PropertiesCommutative:
1+4=4+1
Associative:
(2+1)+4=2+(1+4)Identity:
7.9 + 0 = 7.9
21 * 1 = 21
Zero
77 * 0 = 0