PrismsPyramids Have 2 bases Named by the shape of the bases Have 1 base Lateral faces meet at one point Named by the shape of the base Pentagonal Prism Hexagonal Pyramid

SMSD COLLEGE WORD OF THE DAY WEEK OF:Vocabulary and DEFINITIONS: Monday3/3/ Munificent - (adj.) very generous; giving Tuesday3/4/ Myopic - (adj.) lacking foresight; narrow-minded Wednesday3/5/ Myriad - (noun) a large indefinite number Thursday3/6/ Nefarious - (adj.) extremely wicked Friday3/7/ Negligible - (adj.) so small as to be meaningless; insignificant; not worth considering Monday3/17/ Nexus - (noun) a connected series or group; the means of connection between things linked in series Tuesday3/18/ Nomad - (noun) noun an individual who roams about without purpose or residence Wednesday3/19/ Nonchalant - (adj.) marked by blithe unconcern Thursday3/20/ Nostalgia - (noun) longing for something past; a longing, retrospective view Friday3/21/ Nullify - (verb) make ineffective by counterbalancing the effect of; show to be invalid; declare invalid Monday3/24/ Obdurate - (adj.) showing unfeeling resistance to tender feelings; stubbornly persistent in wrongdoing Tuesday3/25/ Oblivion - (noun) the state of being disregarded or forgotten; total forgetfulness Wednesday3/26/ Obscure - (verb) make difficult to perceive by sight Thursday3/27/ Obtuse - (adj.) lacking sharpness or intellectual ability Friday3/28/ Odyssey - (noun) a long wandering and eventful journey; a Greek epic poem (attributed to Homer) describing the journey of Odysseus after the fall of Troy Monday3/31/ Oscillate - (verb) move or swing from side to side regularly; be undecided about something; waver between conflicting positions or courses of action

BASE HEIGHT

Right Prism Oblique Prism height

Base Height Lateral Surface

Greetings College Bound Students!!! March 6, 2014 There are various routes a person can take to reach a destination. Think about some of the different routes you take to reach the same destination. On a separate sheet of paper, WRITE about how you use your math skills to decide which route to take to reach your destination. Include specific examples of how you choose which tools to use.

CWD: Munificent - (adj.) very generous; giving STAAR WU: A 7-inch candle burns at a rate of 2 inches an hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns? A y = 2x + 7 B y = 7 – 2x C y = 2 – 7x D y = 7x + 2 Greetings College Bound Students!!! March 6`, 2014

CWD: Myriad - (noun) a large indefinite number STAAR WU: A store manager discounted the prices of several items during a sale. The original price and the sale price of each item are shown in the table below. Based on the data in the table, what would be the sale price of an item that had an original price of $85? A.$79B. $64C. $68D. $71 Greetings College Bound Students!!! March 5, 2014 Original PriceSale Price $30$24 $40$32 $50$40 $60$48 $70$56

9/17/2015Page 9 Topic: Volume EQ: How should I find the volume of a 3 dimensional figure? Volume - the measure of cubic units inside a 3-D figure. What is the volume of this rectangular prism? B V = Bh l x w V = l x w x h ______ V = ______

9/17/2015Page 10 Practice - Volume and Surface Area volume What is the volume of this rectangular prism? B V = Bh l x w V = l x w x h ____ V = ____ What is the lateral area? surface area What is the surface area? ___________________ SA = ___________________

Cornell Notes Topic: Lateral and Surface Area; Volume EQ: How should I find the lateral and surface area of a 3-D shape?

Lateral Area (LA): the sum of the areas of the solid’s lateral surfaces P = PERIMETER of base (add all sides of the base) B = area of BASE (use different formulas according to the shape of the base) h = HEIGHT of the solid Total Surface Area (SA): the sum of the areas of all of its surfaces

Formulas for PRISMS LA = Ph Lateral Area = Perimeter of Base  height of prism SA = Ph + 2B Surface Area = Perimeter of Base  height of prism + 2  Area of Base

Station 1: Find the lateral area. (One base is the side that is on the ground.) 2.1 cm 3.6 cm 6.8 cm LA = ____ cm 2

Station 2: Find the surface area. 2.1 cm 3.6 cm 6.8 cm SA = _____ cm 2

Station 3: Find the lateral area. (One base is the side that is on the ground.) 6 m 8 m 9 m LA = ___ m 2

Station 4: Find the surface area. (One base is the side that is on the ground.) 6 m 8 m 9 m SA = ___ m 2

Formulas for Cylinders LA = 2  rh SA = 2  rh + 2  r 2

Station 5: Find the lateral area. Round to the nearest tenth. 5 cm 3.8 cm

Station 6: Find the surface area. Round to the nearest tenth. 5 cm 3.8 cm SA = 2  rh + 2  r 2

Surface Area of Pyramids and Cones Section 12.3 Goal – to find the surface area of a pyramid and the surface area of a cone

Pyramids are classified by the shapes of their bases

Surface Area verses Lateral Area of a Pyramid The lateral area of a pyramid: LA = P = Perimeter of the base l = slant height The surface area of a pyramid: SA = B = Area of the base

Example

Surface Area verses Lateral Area of a Cone The lateral area of a cone: LA = r = radius of the base l = slant height The surface area of a cone: SA =

Example

Students