REVIEW QUESTIONS Evaluate 6 + y when y = 15 You deposit $150 at 4% for 1.5yrs. What’s the interest? Find perimeter of a rectangle with side 3.9 and 9.4. Driving at rate of 108km/hr how long will it take to go 270km?
Objective: Students must demonstrate a knowledge of powers, basically the parts and what a power does. They also have to show they can write a correct power problem. They must be able to apply that to area and volume problems. 1.2 Exponents and powers
Properties of powers Power: repeated multiplication of same number Ex: 43 is 4 x 4 x 4 Exponential form is 43 Power has 2 parts: Base: number being multiplied 23 Exponent: number of times multiplying
Express in words (T/sT) 89 10n x3 101 42 xn
Express as exponential form (T/st) Three to the fourth power Seven squared 4 x 4 x 4 x 4 x 4 3 to the wth power X cubed 2 x 2 x 2 A x a
Evaluate the power Evaluate when x = 5, x3 Evaluate 64
Student Examples Evaluate y3 – 6 when y = 7 Evaluate x2 when x = 1.2
Grouping Symbols Grouping symbols: ( ) or { } Do the inner symbol first. Ex: {8 +(2 – 8)} Evaluate (a + b)2 when a = 1 and b = 2 Evaluate (a2)+(b2)
Evaluate Evaluate 2x3 when x = 4 Evaluate (2x)3 when x = 4
Powers in formulas Some formulas involve exponents! Area Volume Area measured in square units: s2 In2, m2, ft2 Volume measured in cubed units: s3 In3, m3, ft3
Powers in formulas Find area Find volume 2 12
Student Examples Find area Find volume 5ft 5cm
Word problem Jeff is going to cover the floor with 1 ft squares. If the floor is a 10.5 by 10.5 room, how many squares will he need?
Word Problem I have a cube safe. What is the volume of the safe if the interior’s sides are 2ft.?
Wrap up Questions/Comments Hw: text pg. 12-14, #’s: 1-3, 18-40 even, 44,48,56,67