Algebra 1 Honors Chaper 4

Algebra 1 Honors Final Exam Review Chapter 4 Presented By: Justin Love & Liz Moses May 7, 2009

Key Terms: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Chapter 4, Section 1 Ratio and Proportion

Using Unit Rates ,[object Object],[object Object],[object Object],The table at the right gives prices for different sizes of the same brand of apple juice. Find the unit rate (cost/oz) for the 32 oz and the 64 oz size. How?: divide cost by oz, and move the decimal to the right 2 places cost Now…. What size is best economical choice? $.72 ounces 16 oz = $.045 =4.5 ¢ ????¢/oz 64 oz $1.60 ???? ¢/oz 32 oz $1.20 4.5 ¢/oz 16 oz $.72 Cost/Oz Volume Price Price of Apple Juice

Unit Rates and Conversions…. ,[object Object],[object Object],7 h= 7 h 1 60 min 1 h = 420 min Divide the common unit, which is hours (h), The result is minutes. Try: You and your friends go on a road trip and drive for 5 Hours. How many minutes were you driving? Bonus: If you were driving at an average speed of 63 MPH, How many miles did you travel?

Converting Rates….. ,[object Object],A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s speed in MPH? You need to convert feet to miles, and seconds to hours……

Solving Proportions…. ,[object Object],a c = b d For this proportion, a and d are the extremes of the proportion , and b and c are the means of the proportion . Proportions may also be written like this: a : b = c : d Using the Multiplication Property of Equality: t 5 = 9 6 Try: 18 m = 50 15

Using Cross Products… The products of ad and bc are the cross products of the proportion a c b d =

Solving Multi-Step Proportions ,[object Object]

Chapter 4, Section 2 Proportions and Similar Figures.

Finding the Length of a Side ,[object Object],C A B 21 cm 18 cm 15 cm E D F x 10 cm

Applying Similarity ,[object Object],You can use proportions to find dimensions of objects that are difficult to measure directly…

Finding Distances on Maps ,[object Object],The scale of a map is 1 inch = 10 miles. Aprx How far is it from Valkaria to Wabasso if the two cities are 1.75 inches apart on the map?

Chapter 4, Section 3 Proportions and Percent Equations

Finding the Percent… ,[object Object],What percent of 80 is 18?

Finding the Part… ,[object Object],Find 75% of 320.

Finding the Whole…. ,[object Object]

Finding the Whole… ,[object Object]

Using a Percent Equation… ,[object Object],You can also solve a percent problem by translating the words into an equation.

Percents Greater than 100% and Less than 1% ,[object Object],[object Object]

Using Estimation… ,[object Object],Percents and Fractional Equivalents. 33.3 Percent 1/4 1/5 1/10 1/20 Fraction 25% 20% 10% 5% Percent

Algebra 1 Honors Chaper 4

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Algebra 1 Honors Chaper 4