140 likes | 257 Views
http://www.youtube.com/watch?v=noE1YzvfA08. LT 2.1 I can model linear situations. Pg. 73. Expression. A mathematical phrase that can contain ordinary numbers, variables (x, y) AND an operation (+, -, ÷, x) It does NOT include an equal (=) sign Examples: x + 5 8x Variable
E N D
LT 2.1 I can model linear situations.
Expression A mathematical phrase that can contain ordinary numbers, variables (x, y) AND an operation (+, -, ÷, x) • It does NOT include an equal (=) sign • Examples: • x + 5 • 8x Variable Lower cased letters that can represent any Number.
Unit Rate of Change Subtract First Differences • Used to determine the unit rate of change • Are determined by calculating the difference between successive points • In other words: • Subtract the first number from the second number. One after the other
Ordered pair = Two numbers written in a certain order. Usually written in parentheses like this: (4,5) Another way… Determine unit rate of change • Calculate the rate of change between any twoordered pairs • Write each rate with a denominator of 1 Note: Use this method when numbers are NOT consecutive, in order. Numerator Denominator 3 5
Rate of Change May be written with fractions that are not simplified Example: 900/0.5 or 1800/1 (see number 9a) Unit Rate of Change MUST be written with a denominator of 1 • Must be the simplified fraction NOTE When the rate of change between all points is constant, the ordered pairs will form a straight line when plotted.
Functions Background Rate of Change • Relates an input to an output • f(x) = … is the classic way of writing a function • Functions have 3 main parts • Input (x) • Rate of change • Output (y)