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Culinary Arts Curriculum Map Rob Graham Lesson Topic Math Concepts Formulas for food costing Evaluating mathematical expressions Transforming equations Write a menu and cost it out exactly Find plate cost Can cutting When you get 7.36 cups, how is this translated to measurements we can use? Rounding Fractions and equivalent decimals Rounding prices to nearest penny – unit costs and meal pricing rounding Terminology Equation (y=4x) Expression (4x) Mathematical Extensions MN State GRAD Standards Use an algebraic formula as a general format and then derive other formulas from that. x percent of selling price is the food cost. Given two parts of the formula, find the missing third part. x(y) = z y = z/x x = z/y This concept can also be extended to other simple equations. Patterns, Functions and Algebra: Solve simple equations symbolically. Students will translate among equivalent forms of linear equations. Number Sense: Translate calculator notation to mathematical notation. Recognize that calculators may lead to extraneous or incomplete answers. Rounding at the end of a process instead of the middle Lesson Topic Math Concepts Terminology Throughout course Calculator use and useable answers *Puff pastry *food safety – how fast mold grows exponents Exponent Exponential growth Exponential decay *making a roux ratio of fat to sugar ratio of fat to lean *scale drawing of ice sculptures *cost per meal *professional baking – all recipes are in ratios compared to flour Whenever a formula is used Ratio (4 to 3) Proportion ( 4 to 3 = x to 6) Ratio Proportion Mathematical Extensions MN State GRAD Standards .3 3cents watch the decimal points Number Sense Understand that calculator requires appropriate mathematical reasoning and does not replace the need for mental computation. Number Sense: exponent use exponential growth show how this works with other numbers (4^2 = 4*4 not 4*2) graphing sculpture on a coordinate plane and using it as a blue print for larger sculpture use proportions to find unit cost Symbolic representation to table representation Use formula to generate a table of values Number Sense: Students will use proportional reasoning to solve real-world and mathematical problems. -includes rates, scale drawings, similar figures, unit pricing Patterns, Functions and Algebra: Generate a table of values from a formula. Lesson Topic Math Concepts sudden drastic change in the price of a product and how it affects the profit/ loss function Outlier affect on mean (average) outlier Flour is used in bread making and bread rises, but flour is not what makes bread rise/ yeast is what causes the bread to rise When one ingredient causes an event to happen as opposed to a correlation between the two ingredients used together How changing an ingredient impacts a recipe Correlation Cause How is the recipe affected when a student doesn’t scrape out the measuring cup? measurement error choosing the proper measuring cups; demarcations on pt and cup measures are not the same thing number of sandwiches that could be offered using a given number of different toppings not currently taught, but could Terminology Mathematical Extensions MN State GRAD Standards Data Analysis, Statistics and Probability Influence of outliers on various measures and representation of data about real-world and mathematical problems Data Analysis, Statistics and Probability: Students will distinguish between correlation and causation. Permutation (if order makes a difference) Combination (if order doesn’t matter) Data Analysis, Statistics and Probability: permutations / combinations be added Lesson Topic Math Concepts Terminology Mathematical Extensions MN State GRAD Standards Which ingredients are dependent of the presence of other ingredients and which ingredients work independently of each other ice sculptures When does one thing cause another or when is it a correlation (something else may be causing both items) independent or dependent events Data Analysis, Statistics and Probability independent or dependent events cone, cylinders, sphere, elliptical, cube, rectangular prism, pyramid, triangle Spatial Sense, Geometry and Measurement: Students will use models and visualization to understand and represent various threedimensional objects from different perspectives. ice sculptures Geometric shapes Original blocks are always in a ratio of 1:2:4 and all sculptures must keep this as a constraint *rigid figures * sculptures that are mathematically possible do not always stand up in real life. Transformations rotation reflection translation change of scale ice sculptures Geometric terms right angle degrees of an angle radius diameter Spatial Sense, Geometry and Measurement: Students will use transformations to solve real-world and mathematical problems. Spatial Sense, Geometry and Measurement: Students will draw accurate representations of planar figures using a variety of tools.