K–12 Mathematics Measurement

Standards/Cluster Math Other Content Areas

K.MD.B: Classify objects and count the • Practice sorting collections of objects • Identify similarities and differences number of objects in each category extending to more than one way to sort between objects • Use descriptive words to describe how • Use attributes to sort a collection of collections have been sorted objects

Kindergarten

1.MD.A: Measure lengths indirectly and • Use measurement vocabulary to first estimate, • Order objects by length in terms by iterating length units describe, and then compare measurable of the length of another object attributes • Determine the length of an object

1st Grade 1st • Measure items with different sizes of nonstan as a whole number of length dard units units

2.MD.A: Measure and estimate lengths • Use appropriate tools and terminology for • Measure the length of an object in standard units measurement using rulers, yardsticks, meter sticks, • Describe how different unit measurements measuring tapes, and other relate to each other and the size of the unit measuring tools

2nd Grade 2nd chosen • Estimate distance, volume, weight, • Estimate before measuring etc

3.MD.A: Solve problems involving • Choose appropriate units of measure for word • Measure liquids using liters measurement and estimation of problems • Measure mass using grams and intervals of time, liquid volumes, and • Understand the concept of mass in relationship kilograms masses of objects to weight and the concept of measuring in • Understand units of metric capacity by 3rd Grade 3rd volume looking at packaging • Solve word problems about metric capacity and mass

4.MD.A: Solve problems involving • Express measurement equivalents in a larger • Use both metric and standard measure measurement and conversion of unit in terms of a smaller unit in a two-column ment vocabulary measurements from a larger unit to a table • Understand the relationship between smaller unit. • Represent measurement quantities using units within one system of measurement 4th Grade diagrams such as money or distance • Visualize benchmark measurements

5.MD.A: Convert like measurement • Solve word problems involving conversion of • Discuss both customary and standard units within a given measurement metric or customary units measurements within the same system system • Use the vocabulary associated with the metric of measurement using appropriate

and customary conversions. units 5 eth Grad 5 eth

Except where otherwise noted, this work is licensed under a Creative Commons Attribution 4.0 International License. All logos are property of their respective owners. K–12 Mathematics Measurement

Standards/Cluster Math Other Content Areas

6.RP.2: Understand the concept of a • Understand rate as a ratio that compares • Calculate and understand unit rates unit rate a/b associated with a ratio a:b two quantities with different units of (miles per gallon, cost per hour, days with b≠0, and use rate language in the measure per month) context of a ratio relationship • Understand that unit rates are the ratio of two measurements or quantities in which

6th Grade 6th the second term means “one” • Interpret rate language • Solve unit rate problems

7.RP.1: Compute unit rates associated • Use precise mathematical language when • Read and create scale drawings with ratios of fractions, including ratios presenting solutions to scale drawings using • Calculate actual measures from of length, areas and other quantities appropriate measurement units scale drawings (ie floor plans)

7th Grade 7th measured in like or different units. • Redraw a picture or diagram using a different using appropriate measurement scale units.

• Calculate measurements of objects using right • Find distance by drawing and e 8.G.7: Apply the Pythagorean Theorem to determine unknown side lengths in triangles measuring two sides of a right right triangles in real-world and triangle mathematical problems in two and

8th Grad 8th three dimensions.

N.Q.A: Reason quantitatively and use • Determine and/or explain why a specific scale • Connect measurement concepts to units to solve problems. was chosen for a graph science and other contexts to show • Explain the meaning of different quantities in a h School h understanding of significant digits and problem and its solution scientific notation Hig • Select and properly use an existing quantity for a real-world context

• The standards identified are representative of the focus at each grade level to demonstrate the devel- opmental nature of our Learning Standards • The math skills listed are applicable within the context of the identified standards but do not offer a comprehensive list of skills they describe • The other content areas are examples to provide possible uses of the math skills within the listed standards

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