Core Math: Measurement

Table of Contents

UNIT 1: LENGTH - CUSTOMARY SYSTEM

Lesson 1.1 - Length

  • Length and distance
  • The ruler
  • Customary length units: inch, foot, yard, mile
  • Abbreviations for customary length units

Lesson 1.2 - Perimeter

  • Perimeter of straight-sided shapes
  • Perimeter of curved shapes

Lesson 1.3 - Length Estimation

  • Estimating lengths with fingers, hands, feet, and strides

Lesson 1.4 - Selection of Units

  • How to select appropriate customary length units

Lesson 1.5 - Changing Measurement Units

  • Comparing lengths with the same units of measurement
  • Changing between customary length units
  • Conversion factors for customary length units

UNIT 2: LENGTH - METRIC SYSTEM

Lesson 2.1 - Length

  • The meaning of metric prefixes: kilo, centi, milli
  • Use of base ten for metric units
  • The metric ruler
  • Metric length units: kilometer, meter, centimeter, millimeter
  • Abbreviations for metric length units

Lesson 2.2 - Perimeter

  • Perimeter of straight-sided shapes
  • Perimeter of curved shapes

Lesson 2.3 - Length Estimation

  • Estimating lengths with fingers, hands, and strides

Lesson 2.4 - Selection of Units

  • How to select appropriate metric length units

Lesson 2.5 - Changing Measurement Units

  • Comparing lengths with the same units of measurement
  • Changing between metric length units
  • Multiplying and dividing by base ten to change metric length units

Lesson 2.6 - Converting Between Metric & Customary Systems

  • Multiplying by conversion factors to convert customary length units to metric length units
  • Multiplying by conversion factors to convert metric length units to customary length units
  • Using reciprocals of conversion factors to convert between customary and length measurement units

UNIT 3: AREA - CUSTOMARY SYSTEM

Lesson 3.1 - Area

  • Area concept
  • Using grids for area measurement
  • Customary area units: square inches, square feet, square yards, square miles
  • Abbreviation for customary square units

Lesson 3.2 - Area Calculation

  • Calculating area by multiplying length by width

Lesson 3.3 - Area Estimation

  • Using grids and map scales to estimate area
  • Calculating area with estimated lengths and widths

Lesson 3.4 - Selection of Units

  • Selecting appropriate customary area units

UNIT 4: AREA - METRIC SYSTEM

Lesson 4.1 - Area

  • Metric area units: square millimeter, square centimeter, square meter, square kilometer
  • Abbreviations for metric square units

Lesson 4.2 - Area Calculation

  • Calculating area by multiplying length by width

Lesson 4.3 - Area Estimation

  • Using grids and map scales to estimate area
  • Calculating area with estimated lengths and widths

Lesson 4.4 - Selection of Units

  • Selecting appropriate metric area units

UNIT 5: VOLUME - CUSTOMARY SYSTEM

Lesson 5.1 - Capacity Units

  • Cubic units
  • Calculating cubic volume by multiplying length by width by height
  • Liquid capacity units
  • Dry capacity units
  • Customary liquid and dry capacity units: ounce, cup, pint, quart, gallon
  • Abbreviations for customary capacity units

Lesson 5.2 - Cubic Units

  • Cubic units for fixed shapes
  • Customary cubic units: cubic inch, cubic foot, cubic yard, cubic mile
  • Abbreviations for customary cubic units

Lesson 5.3 - Volume Estimation

  • Estimating the volume of a rectangular prism by estimating the length of width, length and height and multiplying those lengths

Lesson 5.4 - Selection of Units

  • Selecting appropriate customary capacity units
  • Selecting appropriate customary cubic units

Lesson 5.5 - Changing Measurement Units

  • Changing customary capacity units
  • Changing customary cubic units
  • Multiplying conversion factors to convert large units to small units
  • Dividing by conversion factors to change small units to large units

UNIT 6: VOLUME - METRIC SYSTEM

Lesson 6.1 - Capacity Units

  • Metric capacity units: milliliter, liter, kiloliter, centiliter
  • Liter size compared cubic metric measurement: 10 cm x 10 cm x 10 cm
  • Milliliter size compared to metric cubic measurement: 1 cm x 1 cm x 1 cm
  • kilometer size compared to cubic metric measurement: 1 m x 1 m x 1 m
  • centiliter size compared to cubic metric measurement: 1 cm x 1 cm x 10 cm
  • Abbreviations for metric capacity units

Lesson 6.2 - Cubic Units

  • Calculating cubic volume by multiplying length by width by height
  • Metric cubic units: cubic millimeters, cubic centimeters, cubic meters, cubic kilometers
  • Abbreviations for metric cubic units

Lesson 6.3 - Volume Estimation

  • Estimating the volume of a rectangular prism by estimating the length of width, length and height and multiplying those lengths

Lesson 6.4 - Selection of Units

  • Selecting appropriate metric capacity units
  • Selecting appropriate metric cubic units

Lesson 6.5 - Changing Measurement Units

  • Changing metric capacity units
  • Changing metric cubic units
  • Multiplying conversion factors to convert large units to small units
  • Dividing by conversion factors to change small units to large units
  • Converting cubic meters to cubic centimeters by multiplying by 1 million
  • Converting cubic centimeters to cubic millimeters by multiplying by 1000

Lesson 6.6 - Converting Between Metric & Customary Systems

  • Multiplying by conversion factors to convert customary capacity units to metric capacity units
  • Multiplying by conversion factors to convert customary cubic units to metric cubic units
  • Multiplying by conversion factors to convert metric capacity units to customary capacity units
  • Multiplying by conversion factors to convert metric cubic units to customary cubic units
  • Using reciprocals of conversion factors to convert between customary and capacity measurement units
  • Using reciprocals of conversion factors to convert between customary and capacity measurement units
  • Approximate conversions between quarts and liters

UNIT 7: TIME

Lesson 7.1 - Telling Time

  • The analog clock
  • Reading the analog clock
  • AM and PM
  • Time measurement units: second, minute, hour, day, month, year
  • Abbreviations for time measurement units

Lesson 7.2 - Calculating Time

  • Calculating difference or change in hours and minutes

Lesson 7.3 - The 24-Hour Clock

  • 24-hour time or military time
  • Comparing 24-hour time to regular time

Lesson 7.4 - Standard Date

  • Using numbers and slashes to express dates
  • Standard dates using month/day/year or day/month/year

UNIT 8: TEMPERATURE

Lesson 8.1 - Fahrenheit Scale

  • Measuring temperature by degrees
  • Fahrenheit temperature scale
  • Negative temperatures
  • Conditions at different Fahrenheit temperatures
  • The thermometer and how it measures temperature
  • The meaning of freezing point
  • The meaning of boiling point
  • Recording Fahrenheit temperatures with degree symbol and abbreviation for Fahrenheit

Lesson 8.2 - Celsius Scale

  • Celsius temperature scale
  • Conditions at different Celsius temperatures
  • Freezing point and boiling point on the Celsius scale
  • Recording Celsius temperatures with degree symbol and abbreviation for Celsius

Lesson 8.3 - Fahrenheit to Celsius Conversion

  • Formula for changing Fahrenheit degrees to Celsius degrees
  • Short cut approximate conversion from Fahrenheit degrees to Celsius degrees
  • Conversions with negative temperatures

Lesson 8.4 - Celsius to Fahrenheit Conversion

  • Formula for changing Celsius degrees to Fahrenheit degrees
  • Short cut approximate conversion from Celsius degrees to Fahrenheit degrees
  • Conversion with negative temperatures

APPENDICIES

  • Appendix A - Glossary
  • Appendix B - Customary System Units
  • Appendix C - Metric Prefixes and Units
  • Appendix D - Conversion Factors
  • Appendix E - Decimal Arithmetic