Common Core Learning Standards

Common Core Learning Standards GRADE 2 Mathematics MEASUREMENT & DATA Common Core Learning Concepts Embedded Skills Vocabulary Standards Measure and estimate lengths in Measurement Measure the length of a given object, using a variety of . Length standard units. measurement tools (rulers, yardstick, meter stick, and . Measure measuring tape) . Measurement Compare and contrast between ruler, yardsticks, meter . Ruler sticks and measuring tapes . Yardstick Describe measurement situations for a variety of tools . Meter stick (for appropriateness of measuring) . Tape measure 2.MD.1. Estimate the length of an object based on knowledge of . Units Measure the length of an object by selecting tools . Estimate and using appropriate tools such as rulers, . Meter(s) yardsticks, meter sticks, and measuring tapes. . Feet/ Foot . Inches/ Inch . Yard(s) . Centimeter(s) RIGOROUS SAMPLE TASKS SCAFFOLDED SAMPLE TASKS

Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Common Core Learning Concepts Embedded Skills Vocabulary Standards Measure and estimate lengths in Measurement Measure the length of a given object, using a two . Length standard units. different units (ex feet & inches) and compare between . Width the two measurements . Measure Explain & show why when measuring with a larger unit . Measurement the measurement will be a smaller number than when . Ruler measuring with a smaller unit (ex. When measuring the . Yardstick 2.MD.2. same object in feet and then in yards, the measurement . Meter stick Measure the length of an object twice, using in feet will be a larger number than it will be in yards) . Tape measure length units of different lengths for the two . Units measurements; describe how the two . Estimate measurements relate to the size of the unit . Meter(s) chosen. . Feet/ Foot . Inches/ Inch . Yard(s) . Centimeter(s) RIGOROUS SAMPLE TASKS SCAFFOLDED SAMPLE TASKS

Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Common Core Learning Concepts Embedded Skills Vocabulary Standards Measure and estimate lengths in Measurement Measure an object in inches, feet, centimeters and meters . Length standard units. to compare actual measurements with estimate. . Width Estimate measurements in inches, feet, centimeters and . Measure meters . Measurement 2.MD.3. Show inches, feet, centimeters and meters on ruler, . Ruler Estimate lengths using units of inches, feet, yardstick, meter stick or tape measure . Yardstick . Meter stick centimeters, and meters. Compare and contrast between inches, feet, centimeters . Tape measure and meters. . Units . Estimate . Meter(s) . Feet/ Foot . Inches/ Inch . Yard(s) . Centimeter(s) RIGOROUS SAMPLE TASKS SCAFFOLDED SAMPLE TASKS

Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Common Core Learning Concepts Embedded Skills Vocabulary Standards Measure and estimate lengths in Measurement Compare the length of two objects measured to . Length standard units. determine which object has the longer or shorter length . Width Subtract the length of two object to determine how much . Measure longer or shorter one object is in comparison to another . Measurement 2.MD.4. Measure on object in feet, inches, centimeters or meters . Ruler Measure to determine how much longer one . Yardstick Compare and contrast between inches, feet, centimeters object is than another, expressing the length . Meter stick and meters. difference in terms of a standard length unit. . Tape measure . Units . Compare . Difference . Meter(s) . Feet/ Foot . Inches/ Inch . Yard(s) . Centimeter(s) . Longer . Shorter . Longer than . Shorter than RIGOROUS SAMPLE TASKS SCAFFOLDED SAMPLE TASKS

Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Common Core Learning Concepts Embedded Skills Vocabulary Standards Relate addition and subtraction to Addition & Add & subtract measurements within 100 . Length length. Subtraction: Solve addition and subtraction word problems involving . Width Measurement measurements (with regrouping) . Measurement 2.MD.5. Write an equation to match a given word problem, with a . Add Use addition and subtraction within 100 to symbol written for the unknown number . Subtract solve word problems involving lengths that are Draw pictures to represent a word problem involving . Solve given in the same units, e.g., by using drawings measurements . Unit (such as drawings of rulers) and equations with . Compare a symbol for the unknown number to . Difference represent the problem. . Total . In all . Altogether . Inch/ inches . Feet/ foot . Centimeter(s) . Meter(s) . Yard(s) . Equation . Unknown . Symbol . Label RIGOROUS SAMPLE TASKS SCAFFOLDED SAMPLE TASKS

Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Common Core Learning Concepts Embedded Skills Vocabulary Standards Relate addition and subtraction to Numbers Explain whole numbers as lengths/ distance from 0 on a . Whole number length. Related to ruler or number line . Number line Distance Show a given number as a length/ distance from 0 on a . Distance number line . Sum 2.MD.6. Show whole number sums and differences within 100 on . Difference Represent whole numbers as lengths from 0 on a number line . Addition a number line diagram with equally spaced Explain the addition of whole numbers as the addition of . Subtraction points corresponding to the numbers 0, 1, 2, ..., lengths on the number line (distances added) . Length(s) and represent whole-number sums and Explain the subtraction of whole numbers as the differences within 100 on a number line subtraction of lengths on the number line (distances diagram.. subtracted)

RIGOROUS SAMPLE TASKS SCAFFOLDED SAMPLE TASKS

Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Common Core Learning Concepts Embedded Skills Vocabulary Standards Work with time and money. Time Write and read the time shown on an analog clock to the . Analog clock nearest five minutes . Digital clock Read the time shown on a digital clock . A.M. 2.MD.7. Match the time shown on an analog clock to a . P.M. Tell and write time from analog and digital corresponding digital time to the nearest five minutes . Minutes clocks to the nearest five minutes, using a.m. Label time A.M. or P.M. based on the time of day . Time and p.m. Skip count by 5s to 60 . Label . Hour(s) Compare and contrast between the hour hand and . Minute(s) minute hand RIGOROUS SAMPLE TASKS SCAFFOLDED SAMPLE TASKS

Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Common Core Learning Concepts Embedded Skills Vocabulary Standards Work with time and money. Money Count a collection of coins and dollars . Dollar Write an amount shown using decimal notation and $ . Dollar sign 2.MD.8. Label coins and their values . Cent(s) Solve word problems involving dollar bills, . Cent sign Solve word problems involving dollar bills, quarters, quarters, dimes, nickels, and pennies, using $ . Penny nickels, dimes and pennies, using & and ¢ symbols and ¢ symbols appropriately. Example: If you . Nickel Add and subtract decimals numbers in the context of have 2 dimes and 3 pennies, how many cents . Dime money do you have? . Quarter . Word problem . Solve . Symbol . Add . Subtract . Count . Decimal point RIGOROUS SAMPLE TASKS SCAFFOLDED SAMPLE TASKS

Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Common Core Learning Concepts Embedded Skills Vocabulary Standards Represent and interpret data. Data & Graphs Create a line plot from measurement data collected by . Line plot measuring several objects . Measurement Measure an object multiple times for accuracy . Data 2.MD9. Measure the length of several object to the nearest whole . Whole units Generate measurement data by measuring unit . Inch/ inches lengths of several objects to the nearest whole Order several measurements from least to greatest . Centimeter unit, or by making repeated measurements of . Foot/ feet the same object. Show the measurements by . Yard(s) making a line plot, where the horizontal scale is . Ruler marked off in whole-number units. . Tape measure RIGOROUS SAMPLE TASKS SCAFFOLDED SAMPLE TASKS

Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics— Permission to use (not alter) and reproduce for educational purposes only. Common Core Learning Concepts Embedded Skills Vocabulary Standards Represent and interpret data. Data & Graphs Create a picture graph and bar graph with up to four . Picture graph categories . Bar graph Compare and contrast between picture and bar graphs . Data 2.MD.10. Solve simple ‘put together’ and ‘take apart’ word . Solve Draw a picture graph and a bar graph (with problems involving graphed data . Represent single-unit scale) to represent a data set with Read the data presented in a bar graph and picture graph . Word problem up to four categories. Solve simple put- . Single unit together, take-apart, and compare problems . Categories using information presented in a bar graph. . Compare . Contrast . Axes RIGOROUS SAMPLE TASKS SCAFFOLDED SAMPLE TASKS