Content Outline

Massachusetts Science Framework Standard/s

Concepts Objective

Associated Mathematics Skills

Prerequisite skills

II. The Metric System (SI = International System of Units)

     A. Prefixes: pico-(10^-12), nano-(10^-9,  micro-(10^-6), milli-(10^-3), centi-(10^-2), deci-(10^-1), deka-(10¹), hecto-(10²), kilo-(10³), mega-(10⁶)

     B. Length measurement

         1. meter (m)

             a. Based on the distance light travels  in 1/299,792,458 seconds (approximately 3.3 feet )

         2. Length units

              a. millimeters (mm), centimeters (cm), decimeters (dm), dekameters (dkm), hectometers(hm), kilometer (km)

         3. Conversions between SI length measurements

              a. Converting smaller units to larger  units

              b. Converting larger units to smaller units

              c. Dimensional Analysis Method

        4. Conversions between SI mass measurements

             a. Mass  vs. Weight

             b. Mass measurement

             c. Mass units : gram

                 milligrams (mg), centigrams (cg,  decigrams (dg), dekagrams (dkg, hectograms (hg), kilograms (kg)

             d. Converting smaller units to larger units              

              e. Converting larger units to smaller units

              f. Dimensional Analysis Method

      5. SI volume measurements

               Volume : Derived unit

               1. 1 cubic centimeter = 1 milliliter

               2. Liter (L)

      6. Conversions between SI volume  measurements

                Volume units : Liter

             a. milliliters (mL), centiliters (cL,  deciliters (dL), dekaliters (dkL, hectoliters (hL), kiloliters (kL)

             b. Converting smaller units to larger  units

             c. Converting larger units to smaller units

             d. Dimensional Analysis Method

       C. Other derived or Non-SI units

         1. Pressure: atmospheres (atm,  millimeters of Mercury (mmHg)

         2. Temperature: Celsius (^oC) 

         3. Energy: calorie (cal)

  D. Other relationships:

                 Determines degrees Celsius from a Fahrenheit temperature

              Determines     degrees Fahrenheit from a Celsius  temperature

               Determines Kelvin  degrees from degrees Celsius

   III. Metric and  English Equivalents

        1 km = 0.62 miles  

        1 kg = 2.2 pounds (lbs)        

       1 L =  0.264 U.S. gallon (gal)

       1 m =  39.37 inches

       907.185 kg =  1 ton

       1 L = 1.06 quarts (qts)

       1 m =  1.0963 yards

       28.3g = 1 ounce (oz)

       1 m³ = 1.308 yd³

       1 cm = 0.39270 inches

       453.59 g = 1 pound (lb)

       1 cm³ = 0.061 in³

       1 inch = 2.54 cm 

       1 ounce = 28.35 grams

       1 gallon = 3.785 L

       1 yd = 0.9144 m  

       1 pound = 0.4536 kg

       1 ft³ = 0.0283 m³

    IV. Dimensional Analysis Method of  Converting between Metric and English Measurements

    V. Scientific notation

    VI. Significant Digits

        1. Measurement accuracy and precision

    VII. Percent Error

    IX. Statistical Test

        1. Chi-square

     X. Precision and Accuracy

Quantitative and Measurement Skills

· Construct and use tables and graphs to interpret data

· Use the metric/standard international (SI) system

· Convert within a unit (such as,centimeters

  to meters)

· Use common prefixes such as milli-, centi-, and kilo-

· Measure with accuracy and precision (length, volume, temperature, time, etc.)

· Use scientific notation, where appropriate

· Determine the correct number of significant figures

· Determine percent error from experimental and theoretical values

· To know the mathematical equivalences of the SI prefixes

· To convert within the SI system between various units of measurement

· To determine the significant digits for a measurement

· To perform mathematical calculations and obtaining an answer with the correct number of significant digits

· To express numbers using scientific notation

· To perform mathematical calculations using numbers expressed in scientific notation

· To convert between SI units and English system of measurement

· To convert units using the factor- label method

· To explain derived units in the SI system

· To convert temperature units in using the Celsius and Fahrenheit scales

· To express temperature units in Kelvin degrees

· To determine percent error from a set of data collected

· Multiplication by multiples of ten

· Division by multiples of ten

· Determining Significant digits

· Converting into and out of  Scientific notation

· Mathematical operations using significant digits

· Mathematical operations using scientific notation

· Solving conversions using dimensional analysis

· Solving equations

· Identifying variables

· Translocation of variables within a formula