# Measurement. Introduction... 3

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1 Introduction... 3 Unit 1: Length Customary System Lesson 1: Length... 3 Lesson 2: Perimeter... 3 Lesson 3: Length Estimation... 4 Lesson 4: Selection of Units... 4 Lesson 5: Changing Units... 5 Unit 2: Length - Metric System Lesson 1: Length... 5 Lesson 2: Perimeter... 5 Lesson 3: Length Estimation...6 Lesson 4: Selection of Units... 6 Lesson 5: Changing Units... 7 Lesson 6: Converting Between Metric and Customary Systems... 7 Unit 3: Area - Customary System Lesson 1: Area... 7 Lesson 2: Area Calculation... 8 Lesson 3: Area Estimation... 8 Lesson 4: Selection of Units... 9 Unit 4: Area - Metric System Lesson 1: Area... 9 Lesson 2: Area Calculation... 9 Lesson 3: Area Estimation...10 Lesson 4: Selection of Units...10 Unit 5: Volume - Customary System Lesson 1: Capacity Units Lesson 2: Cubic Units Lesson 3: Volume Estimation Lesson 4: Selection of Units...12 Lesson 5: Changing Units Unit 6: Volume - Metric System Lesson 1: Capacity Units Lesson 2: Cubic Units

2 Lesson 3: Volume Estimation Lesson 4: Selection of Units Lesson 5: Changing Units Lesson 6: Converting Between Metric and Customary Systems Unit 7: Time Lesson 1: Telling Time Lesson 2: Calculating Time Lesson 3: The 24-Hour Clock Lesson 4: Standard Date Unit 8: Temperature Lesson 1: Fahrenheit Scale Lesson 2: Celsius Scale Lesson 3: Fahrenheit to Celsius Conversion Lesson 4: Celsius to Fahrenheit Conversion APPENDIX A: Glossary - Contains definitions for 65 math terms used in the Course. APPENDIX B: Customary System Units APPENDIX C: Metric Prefixes and Units APPENDIX D: Some Metric Customary Conversion Factors APPENDIX E: Decimal Arithmetic 2

3 Introduction The Core Math: Course addresses key measurement techniques and measurement systems for measuring and estimating length, area, volume, temperature, and time. The topics include selecting appropriate units, changing measurement units, estimating measurements, and converting measurements between customary and metric measurement systems. The learning objectives align to US national curriculum standards for grades 2 to 5 and align to Common Core Math Standards for grades 2 to 7. Estimated completion time is 32 hours. The learning objectives align to US national curriculum standards for grades 1 to 5 and align to Common Core Math Standards for kindergarten: K.MD.1, K.MD.2, for grade 1: 1.MD.1, 1.MD.2, 1.MD.3, for grade 2: 2.MD.1, 2.MD.2, 2.MD.3, 2.MD.4, 2.MD.7, for grade 3: 3.MD.2, for grade 4: 4.MD.1, 4.MD.3, for grade 5: 5.MD.1, 5.MD.2, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.NF.4.b, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c, for grade 6: 6.NS.5, and for grade 7: 7.G.6, 7.EE.3. The Core Math: Course is organized sequentially in eight Units with 38 lessons, 38 lesson Quizzes, and 8 Unit Tests for pre-assessment and post-assessment. Each of the thirty-eight lessons contain audio-supported on-screen instruction and a printable activity sheet with exercises and activities. Each lesson Quiz contains 6 questions generated from a set of 10 questions. Each of the eight Unit Tests contain three questions for each lesson in that Unit from a set of ten questions per lesson. There are 365 instructions screens, 137 practice sheet pages, 7 reference pages, and 760 questions for a total of 1269 total learning objects in the Core Math: Course. Unit 1: Length Customary System Lesson 1: Length K.MD.1, K.MD.2, 1.MD.1, 1.MD.2, 2.MD.1, 1.MD.2, 2.MD.4, 4.MD.1, 4.MD.3, 5.MD.1, 5.MD.2 to learn about the units for measuring length and distance in the Customary System length, distance, inch, foot, yard, mile Total Learning Objects 44 Instruction Pages - 20 Lesson 2: Perimeter 2.MD.1, 4.MD.1, 4.MD.3 3

4 to learn about measuring the perimeter of straight-sided shapes using Customary System units length, perimeter, formula, circumference Total Learning Objects 36 Instruction Pages 11 Activity Pages - 5 Lesson 3: Length Estimation 1.MD.1, 1.MD.2, 2.MD.3, 4.MD.1 to learn how to estimate length and distance using Customary System units estimate Total Learning Objects 34 Instruction Pages 9 Activity Pages - 5 Lesson 4: Selection of Units 2.MD.2, 2.MD.4, 4.MD.1 to learn about selecting appropriate Customary System units for length and distance measurement Total Learning Objects 29 Instruction Pages - 6 4

5 Lesson 5: Changing Units 2.MD.2, 4.MD.1, 5.MD.1 to learn about converting length units to other length units in the Customary System conversion factor Total Learning Objects 36 Instruction Pages - 12 Unit 2: Length Metric System Lesson 1: Length 2.MD.1, 2.MD.2, 2.MD.4, 4.MD.3, 5.MD.1, 5.MD.2 to learn about the units for measuring length and distance in the Metric System metric system, meter, kilo, centi, milli Total Learning Objects 39 Instruction Pages - 15 Lesson 2: Perimeter 2.MD.1, 4.MD.3, 5.MD.1, 5.MD.2 5

6 to learn about how to measure the perimeter of shapes using Metric System units perimeter Total Learning Objects 32 Instruction Pages 7 Activity Pages - 5 Lesson 3: Length Estimation 2.MD.3, 4.MD.1 to learn how to estimate length and distance using Metric System units Total Learning Objects 30 Instruction Pages 5 Activity Pages - 5 Lesson 4: Selection of Units 2.MD.2, 2.MD.4, 4.MD.1 to learn about selecting appropriate Metric System units for length and distance measurement Total Learning Objects 28 Instruction Pages - 5 6

7 Lesson 5: Changing Units 2.MD.2, 4.MD.1, 5.MD.1 to learn about converting length units to other length units in the Metric System decimal number Total Learning Objects 35 Instruction Pages - 12 Lesson 6: Converting Between Metric and Customary Systems 4.MD.1 to learn about converting length units between the Customary and Metric Systems conversion factors, reciprocal, rounding Total Learning Objects 36 Instruction Pages - 11 Activity Pages - 5 Unit 3: Area Customary System Lesson 1: Area 7

8 4.MD.1, 4.MD.3, 5.NF.4.b to learn about the units for measuring area in the Customary System Area, Square Inches, square Foot, Square Mile, Square Yard, Acre, Exponent Total Learning Objects 38 Instruction Pages - 14 Lesson 2: Area Calculation 4.MD.1, 4.MD.3, 5.NF.4.b, 7.G.6 to learn about calculating area using Customary System units area, length, width Total Learning Objects 31 Instruction Pages 7 Test Questions - 40 total questions; 10 total per Lesson of which 3 are randomly selected to populate Lesson 3: Area Estimation 4.MD.1, 5.NF.4.b to learn how to estimate area using Customary System units scale Total Learning Objects 33 8

9 Instruction Pages 10 Lesson 4: Selection of Units 4.MD.1 to learn about selecting appropriate Customary System units for area measurement conversion factor Total Learning Objects 33 Instruction Pages - 10 Unit 4: Area Metric System Lesson 1: Area 4.MD.1, 4.MD.3, 5.NF.4.b to learn about the units for measuring area in the Metric System area, square millimeter, square centimeter, square meter, square kilometer Total Learning Objects 32 Instruction Pages - 8 Lesson 2: Area Calculation 4.MD.3, 5.NF.4.b, 7.G.6 9

10 to learn about calculating area using Metric System units area, length, width Total Learning Objects 30 Instruction Pages 7 Lesson 3: Area Estimation 4.MD.1, 5.NF.4.b to learn how to estimate area using Metric System units estimate Total Learning Objects 30 Instruction Pages 8 Lesson 4: Selection of Units 4.MD.1 to learn about selecting appropriate Metric System units for area measurement Total Learning Objects 31 Instruction Pages

11 Unit 5: Volume Customary System Lesson 1: Capacity Units 3.MD.2, 4.MD.1, 5.MD.1, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c, 7.G.6 to learn about the capacity units in the Customary System volume, cubic units, liquid capacity units, dry capacity units Total Learning Objects 33 Instruction Pages - 10 Lesson 2: Cubic Units 3.MD.2, 4.MD.1, 5.MD.1, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c, 7.G.6 to learn about the cubic units in the Customary System rectangular prism, cube, cubic inch, cubic foot, cubic yard, cubic mile Total Learning Objects 37 Instruction Pages 13 11

12 Lesson 3: Volume Estimation 4.MD.1, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c to learn how to estimate volume using Customary System units estimate Total Learning Objects 30 Instruction Pages 6 Lesson 4: Selection of Units 4.MD.1, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c to learn about selecting appropriate Customary System units for volume measurement Total Learning Objects 33 Instruction Pages - 10 Lesson 5: Changing Units 4.MD.1, 5.MD.1, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c to learn about converting volume units to other volume units in the Customary System conversion factor 12

13 Total Learning Objects 32 Instruction Pages - 9 Unit 6: Volume Metric System Lesson 1: Capacity Units 3.MD.2, 4.MD.1, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c, 7.G.6 to learn about the capacity units in the Metric System liter, milliliter, centiliter, kiloliter Total Learning Objects 31 Instruction Pages - 8 Lesson 2: Cubic Units 3.MD.2, 4.MD.1, 5.MD.1, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c, 7.G.6 to learn about the cubic units in the Metric System cubic millimeter, cubic centimeter, cubic meter, cubic kilometer Total Learning Objects 33 Instruction Pages 9 Lesson 3: Volume Estimation 13

14 4.MD.1, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c to learn how to estimate volume using Metric System units estimate Total Learning Objects 30 Instruction Pages 6 Lesson 4: Selection of Units 4.MD.1, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c to learn about selecting appropriate Metric System units for volume measurement Total Learning Objects 32 Instruction Pages - 9 Lesson 5: Changing Units 4.MD.1, 5.MD.1, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c. to learn about converting volume units to other volume units in the Metric System conversion factor Total Learning Objects 33 14

15 Instruction Pages - 10 Lesson 6: Converting Between Metric and Customary Systems 4.MD.1, 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5, 5.MD.5.a, 5.MD.5.b, 5.MD.5.c. to learn how to convert between Metric System and Customary System volume units reciprocal, rounding Total Learning Objects 35 Instruction Pages - 10 Activity Pages - 5 Unit 7: Time Lesson 1: Telling Time 1.MD.3, 2.MD.7 to learn how to tell time with an analog clock clockwise, o clock, ante meridian (am), post meridian (pm) Total Learning Objects 43 Instruction Pages - 18 Activity Pages - 5 Lesson 2: Calculating Time 2.MD.7, 4.MD.1 15

16 to learn how to calculate changes in time Total Learning Objects 30 Instruction Pages 7 Lesson 3: The 24-Hour Clock 1.MD.3, 2.MD.7, 4.MD.1 to learn how to use time with the 24-hour clock 24-hour clock Total Learning Objects 30 Instruction Pages 7 Lesson 4: Standard Date 4.MD.1 to learn how to read and use standard dates Total Learning Objects 28 Instruction Pages

17 Unit 8: Temperature Lesson 1: Fahrenheit Scale 6.NS.5, 7.EE.3 to learn about measurement of temperature in Fahrenheit degrees Fahrenheit scale, thermometer, degrees, freezing point, boiling point, water vapor, integer Total Learning Objects 39 Instruction Pages - 16 Lesson 2: Celsius Scale 6.NS.5, 7.EE.3 to learn about measurement of temperature in Celsius degrees celsius Total Learning Objects 32 Instruction Pages 8 Lesson 3: Fahrenheit to Celsius Conversion 6.NS.5, 7.EE.3 17

18 to learn how to convert Fahrenheit degrees to Celsius degrees Total Learning Objects 33 Instruction Pages 11 Activity Pages - 2 Lesson 4: Celsius to Fahrenheit Conversion 6.NS.5, 7.EE.3 to learn how to convert Celsius degrees to Fahrenheit degrees Total Learning Objects 31 Instruction Pages - 9 Activity Pages

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