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Do Now: 10/30/17 ππππ‘ πππ‘ππ = πππππππ‘ 100 12 15 = π₯ 100
REMEMBER: Solve proportions = π₯ 100 4% of _________ days is 56 days. 80% of _______ games is 32 games. 5% of 220 files ππππ‘ πππ‘ππ = πππππππ‘ 100
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RATIOS MGSE6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. RATES MGSE6.RP.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b β 0 (b not equal to zero), and use rate language in the context of a ratio relationship. RATIOS AND RATES USING TABLES AND GRAPHS MGSE6.RP.3 Use ratio and rate reasoning to solve real-world and mathematical problems utilizing strategies such as tables of equivalent ratios, tape diagrams (bar models), double number line diagrams, and/or equations. MGSE6.RP.3a Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
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PROPORTIONS MGSE6.RP.3b Solve unit rate problems including those involving unit pricing and constant speed. PERCENTS MGSE6.RP.3c Find a percent of a quantity as a rate per 100 (e.g. 30% of a quantity means 30/100 times the quantity); given a percent, solve problems involving finding the whole given a part and the part given the whole. MEASUREMENT CONVERSTIONS MGSE6.RP.3d Given a conversion factor, use ratio reasoning to convert measurement units within one system of measurement and between two systems of measurements (customary and metric); manipulate and transform units appropriately when multiplying or dividing quantities. For example, given 1 in. = 2.54 cm, how many centimeters are in 6 inches
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Standards MGSE6.RP.3d Given a conversion factor, use ratio reasoning to convert measurement units within one system of measurement and between two systems of measurements (customary and metric); manipulate and transform units appropriately when multiplying or dividing quantities. For example, given 1 in. = 2.54 cm, how many centimeters are in 6 inches ESSENTIAL QUESTION: How do you convert units within different measurement systems?
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USING CONVERSION FACTOR
A conversion factor is a ratio of two equivalent measurements. Since the two measurements in a conversion factor are equivalent, a conversion factor is equal to 1.
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Opening LARGE UNITS SMALL UNITS MULTIPLY DIVIDE NOTE: When converting Measurement, this is how you know when to Multiply or divide
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EXAMPLE ONE: PAGE 186 What is the weight of a 3-pound human brain in ounces? B. A moderate amount of daily sodium consumption is 2,000 milligrams. What is this mass in grams?
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EXAMPLE TWO: PAGE 187 A. Elena wants to buy 2 gallons of milk but can only find quart containers forΒ sale. How many quarts does she need?
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1.Using Proportions method: Write the Unit rate.
Emma bought a 5- pound bag of apples. Use a proportion to convert 5 pounds to ounces. 1.Using Proportions method: Write the Unit rate. 2. Using Conversion Factor method: Write the unit you are converting to on the top There are two ways to solve measurement conversions.
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Assignment: Ask your parents to help?
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