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## Wednesday, November 30 th

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**Wednesday, November 30th**Please Complete Warm Up and take out homework (Workbook) Did you write down your homework? Warm Up Write two equivalent ratios 1. 4:5 2. 6:10**Corny Joke of the Day**Where do fish go on vacation? Fin-land**Attention!**Next Checkpoint is FRIDAY**Ratio**Review**Candy**Ratios**In your groups……try to come up with 5 ratios about your**candy!**Rate**Review**The new movie “Hunger Games” is expected to draw large**crowds. Several cinemas have already started making package deals for movie tickets. In your groups determine which Theater has the best deal! Mall of Georgia Regal Cinema 5 tickets for $112 Hollywood 24 7 tickets for $135.60**Homework Answers Can you find my mistakes?**• 9: 12 or 3:4 • 8:16 or 1:2 • 10: 9 • 10:12 or 5:5 • 12:9 or 4:3 • 6:9, 12:18, or 2:3 • 12/14 or 6/7 • 15/9 or 5/3 • 15:14 • 9/12 or ¾**Can you finish the statement?**• Basketball is to hoop as soccer ball to ____________. • pumpkin is to Halloween as fireworks are to ________________ • Fish is to water as bird is to _________**These are all**PROPORTIONS!**4**2 2 6 4 2 4 8 __ __ __ __ __ __ __ __ = = = 4 1 2 1 1 2 2 3 A proportion is an equation that shows two equivalent ratios. Reading Math Read the proportion = as “two is to one as four is to two.”**4**__ 8 number of hearts number of stars Modeling Proportions Write a proportion for the model. First write the ratio of hearts to stars. = Next separate the hearts and stars into two equal groups.**2**4 2 __ __ __ 4 8 4 number of hearts number of stars Continued Now write the ratio of hearts to stars in each group. = A proportion shown by the model is = .**Let’s make our own Proportion!**• 6 shapes of: _________________ • 8 shapes of:__________________ Proportion:**=**3 9 9 2 4 3 14 2 __ __ __ __ __ __ __ ___ = = = 15 6 5 1 2 7 4 8 6 •3 = 9 • 2 7 •2 = 14 • 1 8 • 2 = 4 • 4 5 • 9 = 3 • 15 16= 16 18 = 18 14 = 14 45= 45 This is how you prove proportions!**Question of the day**How would you find the missing value to complete proportion**Method #1**Criss Cross and algebra**Steps**• Cross multiply • Set up equation • Use inverse operations to solve for missing variable**5**6n 90 n __ __ ___ ___ = 6 18 6 6 Criss-Cross and Solve! Find the missing value in the proportion. Find the cross products. 6 •n= The cross products are equal. 5 • 18 6n= 90 n is multiplied by 6. Divide both sides by 6 to undo the multiplication. = n = 15**Method #2**Use guess and check Caution: doesn’t work if the answer is a fraction!**Think:**6 x what number is 18 So, 5 x that number is n**f**f 1 tbsp 1 tbsp ____ _____ _____ ____ 4 gal 6 gal 6 gal 4 gal According to the label, 1 tablespoon of plant fertilizer should be used per 6 gallons of water. How many tablespoons of fertilizer would you use for 4 gallons of water? Let f be the amount of fertilizer for 4 gallons of water. = = Write a proportion. 6 •f= 1 • 4 The cross products are equal.**tbsp**tbsp gal gal ___ ___ ___ ___ tbsp tbsp gal gal Caution! In a proportion, the units must be in the same order in both ratios. = or =**2**2 6f 4 __ __ __ ___ 3 6 6 3 Continued f is multiplied by 6. 6f= 4 Divide both sides by 6 to undo the multiplication. = Write your answer in simplest form. f = tbsp You would use tbsp of fertilizer for 4 gallons of water.**Word Problem Practice**• Each group will be assigned one word problem • In your groups you must: • Show your proportion • Show work to show answer**Experiment**For most people, the ratio of the length of their head to their total height is 1:7. Use proportions to test your measurements and see if they match this ratio.