Content Outline

Massachusetts Science Framework Standard/s

Concepts Objective

Associated Mathematics Skills

Prerequisite skills

I. Motion

  A.  Distance and Displacement

1.      Frame of Reference

2.      Measuring Distance

3.      Measuring Displacement

4.      Combing Displacements

  B.  Speed and Velocity

    1. Define scalor quantities

    2. Define vector quantities

    3. Speed

    4.Average Speed

      a. Calculating Average  

          Speed (Units)

    5. Instantaneous Speed

    6. Graphing Motion        

      a. Distance Vs Time

          Graph for Speed       

          Velocity (Units)

   7.Combining Velocities  

      a. Vector Addition 

          and Subtraction           

      b. Tail Head Method

      c. Parallelogram method

  C.  Acceleration

      1.Define

      2. Calculating Acceleration (Units)

      3. Graphs of Acceleration

         a. Speed Vs Time Graph

         (Positive & Negative Acceleration)

         b. Distance Vs Time

         Graph for Acceleration. 

       4. Instantaneous Acceleration.

1.1 Distinguish between vector quantities (velocity, acceleration, and force) and scalar quantities (speed and mass).

1.2 Illustrate how to represent vectors graphically and be able to add them graphically.

1.3 Distinguish between, and solve problems involving, velocity, speed, and constant acceleration.

1.4 Create and interpret graphs of motion (position vs. time, speed vs. time, velocity vs. time, constant acceleration vs. time).

2.6 Identify appropriate

standard international

units of measurement

for force, mass,

distance, speed,

acceleration, and time,

and explain how they

are measured.

1.12 Identify appropriate standard international units of measurement for force, mass, distance, speed, acceleration, and time, and explain how they are measured

· To understand that a frame of reference is necessary to accurately describe motion.

· To understand that there is no correct frame of reference but some are more meaningful than others.

· To realize that the earth is the most common frame of reference.

· To differentiate between distance and displacement.

· To create and interpret a distance vs. time graph for position.

· To be able to add displacements

  using vectors

· Relate speed to distance and time.

· Differentiate between instantaneous speed and average speed.

· Solve average speed problems

· Create and interpret a distance vs. time graph for speed.

· Explain how speed and velocity are different.

· Solve velocity problems.

· Create and interpret a distance vs. time graph for velocity.

· Represent vectors graphically and add them graphically.

· Define acceleration.

· Calculate constant

  acceleration.

· Create and interpret graphs of motion (Speed vs. time, velocity vs. time, distance vs. time for acceleration, and constant acceleration vs. time.) 

· Identify appropriate standard international units of measurement for distance, time, speed, acceleration, time and explain how they are measured.

· Be able to solve for the various variables and supply appropriate units for each quantity in each of the following formula.

· Speed = distance/Time

· Acceleration= change in velocity /time

· a = V_f – V_i / t

where

V_f = final velocity

V = initial velocity

t = time

· d = ½ gt²

where

d = distance

g = gravity

t = time

· Basic math skills in using basic algebra

· Ability to develop a scale

· Ability to use a ruler: metric and English

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