ࡱ> g KYbjbjVV ,r<r<#XXXlll8ll@h$ ???????$iCF@QX4 `|4 4 @o@ # # #4 8? #4 ? # #B;@=v!*<?@0@(<F #F4==FX>D4 4 #4 4 4 4 4 @@ #4 4 4 @4 4 4 4 F4 4 4 4 4 4 4 4 4  : Math-in-CTE Lesson Plan Template Lesson Title: Recipe ScalingLesson # 6Author(s):Phone Number(s):E-mail Address(es):Alan Joynson503-812-1546ajoynson@nwresd.k12.or.usPaul Dias503-8012-5605 HYPERLINK "mailto:pauld@tillamook.k12.or.us" pauld@tillamook.k12.or.usOccupational Area: Culinary ArtsCTE Concept(s): Recipe ScalingMath Concepts: Ratios, Proportions, RateLesson Objective:How to scale a recipe to a different number of portionsSupplies Needed:Handouts, white board and markers, Powerpoint presentation The "7 Elements"Teacher Notes (and answer key)Introduce the CTE lesson. It is common in the kitchen to scale recipes to meet the needs of parties of different sizes, and in doing maintaining the correct proportions of the ingredients so that the recipe will come out with the same physical properties and flavor profiles as the original recipe. The concepts of Ratios and Proportions will be used to maintain original recipe profileHandout worksheets. Start PowerPoint Presentation Show picture of catering event, then picture of failed cake. Talk about the importance of maintain the proportions of the ingredients or else . . . The use of Ratios & Proportions will be neededAssess students math awareness as it relates to the CTE lesson. Review with the students of the learning of: Measuring units. Conversion of unit to largest applicable unit. Conversion from a fraction to decimal and decimal to fraction. Vocabulary of Rates, Ratios & Proportions Ask students how many: Ounces in a pound, Tablespoons per cup, cups in a quart Convert the following to fractions: 0.25, 0.125, 0.375 (= 1/8 3/8) Convert the following fractions to decimals: 3/4 , 5/8, (0.75, 0.625, 0.5) Rate- compares two quantities of different units by division. Ratio compares two quantities of the same unit by division. A Proportion occurs when two rates or ratios are equal. Have some students give some examples of ratios, or proportions3. Work through the math example embedded in the CTE lesson. Rate- compares two quantities of different units by division. Ratio compares two quantities of the same unit by division. A Proportion occurs when two rates or ratios are equal. A conversion Factor is a ratio that is applied to multiply ingredient recipes as the proportion of each ingredient will be the same for each.If you are doubling a recipe how would you adjust these ingredients, or halving, how would like look on paper? Ratio - 20 portions to 5 portions gives a ratio of 20:5 = 4 Conversion Factor the 4 from the above example is a conversion factor that is now multiplied by each ingredient in order to maintain the same proportion between the new and the old recipes 5. Work through traditional math examples. Example 1: Explain Ratios and Cross Product Property to arrive at Ratio Example 1: Original Recipe has a yield of 6 ptns., the new recipe needs to have a yield of 25 ptns. One ingredient in the recipe is: Flour 1 oz:  QUOTE   =  QUOTE   Then use the Cross Product Property:  QUOTE  =  QUOTE   , then ad = bc then:  QUOTE   =  QUOTE   -> :  QUOTE   =  QUOTE   6x = (25 " 1 ) 6x = 37.5 oz x = 6.25 or 6 oz4. Work through related, contextual math-in-CTE examples. Example 2: Introduce Ratio and relation to Conversion Factor as a labor saving shortcut to the concept learned in the first Example.Example 2: Original Recipe has a yield of 4 ptns., the new recipe needs to have a yield of 18 ptns. Then find the Conversion Factor:  QUOTE  QUOTE    Conversion Factor =  QUOTE   =  QUOTE   = 4.5 Now multiply each of the ingredients in the recipe by the Conversion Factor (4.5): Old recipe: Water 2 cups 2 (2.75) cups " 4.5 = 12.375 cups = 12 3/8 New recipe: Water 12 3/8 cups or H" 3 Qts. + 3/8 cupAnswers to example in PowerPoint: Ingredients: Old Qty: CF: New Qty: Flour 2 cups x 2.5 = 5 cups Water 8 floz. x 2.5 = 20 floz. ->1 pt. + 1/2 cup Egg 4 each x 2.5 = 10 each Baking Powder 1 tsp. x 2.5 = 2 tsp. Cinnamon 2 tsp. x 2.5 = 5 tsp. -> 1 Tbs. + 2 tsp. 6. Students demonstrate their understanding. Now the student can do the exercises on the handouts, look at them at home, hand them in tomorrow, any questions can be address via e-mail or in class in tomorrow.  HYPERLINK "file:///C:\\Users\\ajoynson.NWRESD\\Documents\\Instructional%20Materials\\Costing\\Recipe%20Scaling%20Exercise.docx" Recipe Scaling Exercise7. 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