Find the unit rate for 55 cakes / 5 miles.

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Presentation transcript:

Find the unit rate for 55 cakes / 5 miles. Bellringer 82 cookies / 30 cupcakes 9 hotdogs / 1 hour Which is a rate? Which is a unit rate? Find the unit rate for 55 cakes / 5 miles.

Go over Homework Reteach 5-2 Reteach 5-3

Ch. 5-3 & 5-4 Proportions & Solving Proportions

cross products Aka: cross Multiply two products found by multiplying the denominator of each ratio by the numerator of the other ratio 20 = 6 90 = 90 6 = 9

proportion an equation stating that two ratios are equal – use cross products to determine if a proportion or not No, not a proportion 20 = 6 90 = 90 6 = 9 No, not a proportion Yes a proportion

Example 1: Determine whether the following ratios form a proportion. a.) b.) Yes, because cross products are equal 60 = 60 No, because cross products are not equal 10 = 8

Example 2: Solve each proportion below by using the cross products. a.) b.) c.) d.) Times the couple together 9 & 10 Then divide by the lonely guy 2 X = 45 Times the couple together 4 & 21 Then divide by the lonely guy 12 x = 7 Times the couple together 20 & 9 Then divide by the lonely guy 15 x = 12 Times the couple together 12 & 6 Then divide by the lonely guy 8 x = 9

Example 3: Set up a proportion for each scenario below and solve by doing the cross products. a.) Andy paid $1.29 for 3 pieces of candy. At that rate, what would 8 pieces of candy cost? b.) You are visiting friends in Estonia. Suppose the exchange rate is 12.68 kroons = 1 dollar. How many Estonia kroons will you receive if you have $500? Times the couple together 1.29 & 8 Then divide by the lonely guy 3 x = $3.44 Times the couple together 12.68 & 500 Then divide by the lonely guy 1 x = 6,340 kroons

Which triangles are similar? 8 20 12 4 10 8 Which triangles are similar? If they are in proportion they are similar.

Blue and Red are similar (they are in proportion) 8 20 12 4 10 8 20 x 4 ?? 8 x 10 8 x 8 ?? 12 x 4 12 x 10 ?? 20 x 8 Equal => Yes Equal => NO Equal => NO Blue and Red are similar (they are in proportion)

Homework PS 5-4 all

Pg. 240 #10-26 even (1 pt each) Pg. 247 #12-24 even (1 pt each) Homework Pg. 240 #10-26 even (1 pt each) Pg. 247 #12-24 even (1 pt each)

Bellringer Which triangles are similar? 8 20 12 4 10 8 Which triangles are similar? If they are in proportion they are similar.

Go over Homework Pg. 240 #10-26 even Pg. 247 #12-24 even

Proportion Project Head and Shoulders Practice Sheets 5-3 & 5-4 Do in class If not completed homework