Topic+Thirteen

= Topic Thirteen: Units of Measure =
 * ~ = Desired Results = ||
 * __Transfer:__

1. Makes sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||
 * // 5. Use appropriate tools strategically. //**
 * __Established Goals:__
 * 5.MD.1: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real-world problems.

__Pre-Requisite Standards:__ (//3, 36//)//, …//
 * 4.MD.1: Know relative sizes of measurement units within one system of units, including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. // For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs // ( // 1, 12 // ) //, // ( // 2, 24 // ) // , //
 * 4.MD.2: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
 * 4.MD.3: Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. // For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. //
 * Fluently multiply multi-digit whole numbers using the standard algorithm.

__I Can Statements:__ I can convert measurements within the same measuring system. || 13-1: Relationships between measurement units of the same length can be expressed as an equation (e.g., 1 ft = 12 in.; 1 m = 100 cm). Relationships exist that enable you to convert between units of length by multiplying or dividing. 13-2: Relationships exist that enable you to convert between units of capacity by multiplying and dividing. 13-3: Relationships between measurement units of weight/mass can be expressed as a ratio (e.g., 1 lb to 16 oz or 1 lb = 16 oz; 1 kg to 1,000 g or 1 kg = 1, 000 g). Relationships exist that enable you to convert between units of weight or mass by multiplying or dividing. 13-4: Relationships between measurement units of the same length can be expressed as an equation (e.g., 1 ft = 12 inc,; 1m = 100 cm). Relationships exist that enable you to convert between units of length by multiplying or dividing. 13-5: Relationships exist that enable you to convert between units of capacity by multiplying and dividing. 13-6:Relationships between measurement units of weight/mass can be expressed as a ratio (e.g., 1 lb to 16 oz or 1 lb = 16 oz; 1 kg to 1,000 g or 1 kg = 1, 000 g). Relationships exist that enable you to convert between units of weight or mass by multiplying or dividing. 13-7: Some problems can be solved by first finding and solving a sub-problem and then using that answer to solve the original problem. ||
 * __Big Ideas:__
 * __Measurement:__ Some attributes of objects are measurable and can be quantified using unit amounts.
 * __Practices, Processes, and Proficiencies:__ Mathematics content and practices can be applied to solve problems. || __Essential Questions:__
 * What are customary measurement units and how are they related?
 * What are metric measurement units and how are they related? ||
 * __Students will know...__
 * Relationships between measurement units of the same length can be expressed as an equation (e.g., 1 ft = 12 in.; 1 m = 100 cm). Relationships exist that enable you to convert between units of length by multiplying or dividing.
 * Relationships exist that enable you to convert between units of capacity by multiplying and dividing.
 * Relationships between measurement units of weight/mass can be expressed as a ratio (e.g., 1 lb to 16 oz or 1 lb = 16 oz; 1 kg to 1,000 g or 1 kg = 1, 000 g). Relationships exist that enable you to convert between units of weight or mass by multiplying or dividing.
 * Some problems can be solved by first finding and solving a sub-problem and then using that answer to solve the original problem. || __Students will be skilled at...__
 * Converting from one unit of customary length (inches, feet, yards, and miles) to another.
 * Converting from one unit of customary capacity (gallons, quarts, pints, cups, and fluid ounces) to another.
 * Converting from one customary unit of weight (ounces, pounds, and tons) to another and applying this skill to compare quantities.
 * Converting one metric unit of length (kilometer, meter, centimeter, and millimeter) into another.
 * Converting from one metric unit of capacity (liter and milliliter) to another.
 * Converting from one metric unit of mass (milligrams, grams, and kilograms) to another. ||
 * ~ = Assessment Evidence = ||
 * __Performance Assessment:__ || __Other Evidence:__ ||
 * ~ = Learning Plan = ||
 * __Learning Activities:__
 * __Resources:__

__Centers:__ [|Comparing Units of Metric Line Measure] [|Metric Conversion Word Problems] ||