Topic+Fourteen

= Topic Fourteen: Measurement Units and Conversions = Pacing (Duration of Unit):
 * ~ = 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. 5. Use appropriate tools strategically. 6. Attend to precision. 7. //**Look for and make use of structure**//. 8. Look for and express regularity in repeated reasoning. ||
 * __Established Goals:__
 * 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 // ) // , // ( // 3, 36 // ) // , … //
 * 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.

__Prerequisite Skills:__ . __"I Can" Statements:__
 * 3.MD.1: Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.
 * 3.MD.2: Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters ( l ).Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.
 * I can show that I know the relative size of measurement units within a single system.
 * I can show the measurements of a larger unit in terms of smaller units and record these in a table.
 * I can use the four operations (+, -, x, ) to solve word problems involving measurement; including simple fractions and decimals. ||
 * __Big Ideas:__
 * __Measurement:__ Some attributes of objects are measurable and can be quantified using unit amounts.
 * __Estimation__: Some measurements can be approximated using known referents as the unit in the measurement process.
 * __Patterns, Relations, and Functions__: Relationships can be described and generalizations made for mathematical situations that have numbers or objects that repeat in predictable ways.
 * __Practices, Processes, and Proficiencies__: Mathematics content and practices can be applied to solve problems. || __Essential Questions:__
 * What are customary and metric units for measuring length, capacity, and weight/mass, and how are they related? ||
 * __Students will know...__
 * Length can be estimated and measured in different systems (customary, metric) using different units in each system that are related to each other. Length can also be estimated in different systems.
 * Capacity is a measure of the amount of liquid a container can hold. Capacity can be measured in different systems (customary, metric) and using different units in each system that are related to each other.
 * The weight of an object is a measure of how heavy an object is.
 * Relationships between customary measurement units can be expressed as a function (e.g., 12 inches to 1 ft or 12 in. = 1 ft.). Relationships exist that enable you to convert between customary units of the same attribute by multiplying or dividing.
 * Mathematical explanations can be given using words, pictures, numbers, or symbols. A good explanation should be correct, simple, complete, and easy to understand.
 * Mass is a measure of the quantity of matter in an object. Weight and mass are different measures.
 * Time can be expressed using different units that are related to each other.
 * Some problems with the initial data point unknown can be solved by starting with the end result and by reversing the steps and processes to work backward to find the initial data point.

__Vocabulary:__inch, foot, yard, mile, capacity, weight, ounce, pound, ton, millimeter, centimeter, decimeter, meter, kilometer, milliliter, liter, mass, gram, kilogram || __Students will be skilled at...__
 * Estimating and measuring length by choosing the most appropriate unit of length.
 * Estimating fluently with customary capacity units (cups, pints, quarts, and gallons).
 * Comparing the relative sizes of capacity measurements.
 * Estimating fluently and measuring with units of weight.
 * Converting between customary units.
 * Solving and explaining the answer to each problem in writing.
 * Estimating and measuring length to the nearest centimeter, and choosing the most appropriate metric unit for measuring length.
 * Estimating fluently with milliliters and liters.
 * Measuring capacity using milliliters and liters.
 * Estimating and measuring with units of mass-grams and kilograms.
 * Converting between metric units.
 * Comparing several different units of time and freely converting from one unit of time to another.
 * Solving problems that require finding original times, measurements, or quantities that led to a result that is given. ||
 * ~ = Assessment Evidence = ||
 * __Performance Assessment:__ || __Other Evidence:__ ||
 * ~ = Learning Plan = ||
 * __Learning Activities:__

14:1:Length can be estimated and measured in different systems (customary, metric) using different units in each system that are related to each other. Length can also be estimated in different systems. 14:2:Capacity is a measure of the amount of liquid a container can hold. Capacity can be measured in different systems (customary, metric) and using different units in each system that are related to each other. 14-3: The weight of an object is a measure of how heavy an object is. 14-4:Relationships between customary measurement units can be expressed as a function (e.g., 12 inches to 1 ft or 12 in. = 1 ft.). Relationships exist that enable you to convert between customary units of the same attribute by multiplying or dividing. 14-5:Mathematical explanations can be given using words, pictures, numbers, or symbols. A good explanation should be correct, simple, complete, and easy to understand. 14-6:Length can be estimated and measured in different systems (customary, metric) using different units in each system that are related to each other. Length can also be estimated in different systems. 14-7:Capacity is a measure of the amount of liquid a container can hold. Capacity can be measured in different systems (customary, metric) and using different units in each system that are related to each other. 14.8:Mass is a measure of the quantity of matter in an object. Weight and mass are different measures. 14.9:Relationships between customary measurement units can be expressed as a function (e.g., 12 inches to 1 ft or 12 in. = 1 ft.). Relationships exist that enable you to convert between customary units of the same attribute by multiplying or dividing. 14.10: Time can be expressed using different units that are related to each other. 14.11:Some problems with the initial data point unknown can be solved by starting with the end result and by reversing the steps and processes to work backward to find the initial data point. ||
 * __Resources:__

__Problem of the Month:__ __[|Movin 'n Groovin]__ __[|Once Upon a Time]__

__Centers:__ __[|Making a Kilogram]__ __[|Estimating Weight]__ __[|Measurement Concentration]__ __[|Metric Relationships]__ __[|Capacity Creature]__ __[|Measurement Conversion Problems]__ __[|Measurement Word Problems]__ __[|Elapsed Time Ruler 1]__ __[|Elapsed Time Ruler 2]__ __[|24 Hour Number Line]__ ||