# Find the Resultant Vector Worksheet - Excel

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```					Table 6: Modeling Curriculum: Mechanics

Object                     Standards            Summary

Unit 1: Scientific Thinking in Experimental Settings
Lab: Pendulum              Standard 1 M1.1      Use algebraic and geometric
representations to describe
and manipulate data
M2.1     Interpret graphs of real world
data and find mathematical
relationships
M3.1     Apply algebraic and geometric
concepts and skills to the
solution of problems
S2.1     Devise ways of making
observations to test proposed
explanations
S2.2     Refine research ideas using
peer feedback, library
investigations, etc.
S2.3     Develop and present proposals
inculding formal hypothesis to
test explanations
S2.4     Carry out a research plan for
testing explanations, including
deleoping, building, etc
S3.1     Use various means of representing
and organizing observations
S3.3     Assess correspondence between
the predicted result and the actual
result
S3.4     Based on the results of the test
and through public discussion,
revise the explanation
Standard 4 4.4.1iv   Determine the factors that affect
the period of a pendulum
Unit 1: Continued
Reading: Graphical Methods     Standard 1 M1.1
M2.1
M3.1

Worksheet 1: Graph Practice    Standard 1 M1.1
M2.1
M3.1

Reading: Significant Figures   Standard 1 S3.2      Apply statistical analysis techniques
when appropriate

Graphical Methods: Summary     Standard 1 M1.1
M2.1
M3.1

Test                           Standard 1 M1.1
M2.1
M3.1
S3.2
4.4.1iv
Unit 2: Particle Moving With Constant Velocity
Lab: Velocity             Standard 1 M1.1
M2.1
M3.1
S2.1
S2.2
S2.3
S2.4
S3.1
S3.3
S3.4
Standard 4 4.5.1i     Construct and interpret graphs of
position, velocity, or acceleration
versus time
4.5.1ii   Determine and interpret slopes and
areas of motion graphs

Worksheet 1               Standard 1 M1.1
M2.1
M3.1
Standard 4 4.5.1i
4.5.1ii

Worksheet 2               Standard 1 M1.1
M2.1
Standard 4 4.5.1i
4.5.1ii

Quiz 1                    Standard 1 M1.1
M2.1
M3.1
Standard 4 4.5.1i
4.5.1ii

Worksheet 3               Standard 1 M1.1
M2.1
M3.1
Standard 4 4.5.1i
4.5.1ii

Reading: Motion Maps      Standard 1 M1.1
M2.1
M3.1
S1         Develop extended visual models,
clarify ideas through reasoning, and
evaluate competing explanations to
overcome misconceptions
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1      Revise a model to create a more
complete representation of the system
6.2.2     Collect information about the behavior
of a system and use modeling tools to
represent the operation of the system
Unit 2: Continued
Worksheet 4         Standard 1 M1.1
M2.1
M3.1
S1
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1
6.2.2

Worksheet 5         Standard 1 M1.1
M2.1
M3.1
S1
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1
6.2.2

Review              Standard 1 M1.1
M2.1
M3.1
S1
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1
6.2.2

Test                Standard 1 M1.1
M2.1
M3.1
S1
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1
6.2.2
Unit 3: Uniformly Accelerating Particle Model
Lab: Inclined Rail               Standard 1 M1.1
M2.1
M3.1
S1
S2.1
S2.2
S2.3
S2.4
S3.1
S3.3
S3.4
Standard 4 4.5.1i
4.5.1ii

Post-Lab Extension               Standard 1 M1.1
(Kinematics Development)                    M3.1
Standard 4 4.5.1i
4.5.1ii

Optional Lab Extension           Standard 1 M1.1
(Uniformly Accelerated Motion)              M2.1
M3.1
S3.1
Standard 4 4.5.1i
4.5.1ii

Lab: Speeding Up and Slowing     Standard 1 M1.1
M2.1
M3.1
S2.1
S2.3
S2.4
S3.3
S3.4
Standard 4 4.5.1i
4.5.1ii

Activity: Freefall               Standard 1 M1.1
M2.1
M3.1
S2.1
S2.3
S2.4
S3.3
S3.4
Standard 4 4.5.1i
4.5.1ii
4.5.1iii   Determine the acceleration due to
gravity near the surface of the Earth
Unit 3: Continued
Reading: Finding Slope Using                             Good for Tech.
TI Calculators                        help for teachers
and students

Worksheet 1                         Standard 1 M1.1
M2.1
M3.1
S1
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1
6.2.2

Stacks of Kinematics Curves         Standard 1 M1.1
M2.1
Standard 4 4.5.1i
4.5.1ii

Quiz: Kinematics Curves             Standard 1 M1.1
M2.1
Standard 4 4.5.1i
4.5.1ii

Worksheet 2                         Standard 1 M1.1
M2.1
M3.1
S1
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1
6.2.2

Worksheet 2a                        Standard 1 M1.1
M2.1
M3.1
S1
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1
6.2.2

Quiz 2                              Standard 1 M2.1
M3.1
S1
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1
6.2.2
Unit 3: Continued
Worksheet 3         Standard 1 M1.1
M2.1
M3.1
S1
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1
6.2.2

Worksheet 4         Standard 1 M1.1
M2.1
M3.1
Standard 4 4.5.1i
4.5.1ii

Review              Standard 1 M1.1
M2.1
M3.1
S1
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1
6.2.2

Test                Standard 1 M1.1
M2.1
M3.1
S1
Standard 4 4.5.1i
4.5.1ii
Standard 6 6.2.1
6.2.2
Unit 4: Free Particle Model (Inertia and Interactions)
Demo: Inertia               Standard 1 S1
S2.2
S2.3
S2.4
S3.3
S3.4
Standard 6 6.4.1        Describe specific instances of how
disturbances might affect a system's
equilibrium

Lab: Gravitational Force    Standard 1 M1.1
M2.1
M3.1
S1
S2.1
S2.2
S2.3
S2.4
S3.1
S3.3
Standard 4 4.5.1 iii

Demo: Normal Force          Standard 1 S1
S2.2
S2.3
S3.3
S3.4

Reading: Force Diagrams     Standard 1 M1.1
S1
Standard 4 4.5.1iii
4.5.1iv      Determine the resultant of two or more
vectors graphically or algebraically
4.5.1v      Draw scaled force diagrams
4.5.1vi     Resolve a vector into perpendicular
components both graphically and
algebraically
4.5.1viii   Use vector diagrams to analyze
mechanical systems
Standard 6 6.2.1
6.2.2
6.4.1

Worksheet 1                 Standard 1 M1.1
S1
Standard 4 4.5.1v
4.5.1viii
Standard 6 6.2.1
6.2.2
Unit 4: Continued
Worksheet 2         Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1v
4.5.1vi
4.5.1viii
Standard 6 6.2.1
6.2.2

Quiz 1              Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1v
4.5.1vi
4.5.1viii
Standard 6 6.2.1
6.2.2

Worksheet 3         Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1v
4.5.1vi
4.5.1viii
Standard 6 6.2.1
6.2.2

Worksheet 4         Standard 1 M1.1
S1
Standard 4 4.5.1v
Standard 6 6.2.1
6.2.2

Test                Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1v
4.5.1vi
4.5.1viii
Standard 6 6.2.1
6.2.2
Unit 5: Constant Force Particle Model
Lab: Atwood Machine       Standard 1 M1.1
M2.1
M3.1
S1
S2.1
S2.2
S2.3
S2.4
S3.1
S3.2
S3.3
S3.4
Standard 4 4.5.1ii
4.5.1ix   Verify Newton's Second Law for linear
motion
Standard 6 6.5.2     Search for multiple trends when
analyzing data for patterns and identify
data that do not fit the trends

Demo: Friction            Standard 1 M1.1
M3.1
S1
S2.1
S2.2
S2.3
S2.4
S3.1
S3.4
Standard 2 2.1.2     Prepare multimedia presentations
demonstrating a clear sense of audience
and purpose
2.1.5    Model solutions to a range of problems
in mathematics, science, and technology
using computer simulation software
Standard 4 4.5.1ii
4.5.1x    Determine the coefficient of friction for
two surfaces
Standard 6 6.5.1     Use sophisticated mathematical models,
such as graphs and equations of various
algebraic or trigonometric functions

Lab: Friction             Standard 1 M1.1
M2.1
M3.1
S1
S2.1
S2.2
S2.3
S2.4
S3.1
S3.3
S3.4
Standard 6 6.5.2
Unit 5: Continued
Worksheet 1         Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1v
4.5.1viii
Standard 6 6.2.1
6.2.2
6.3.1       Descirbe the effects of changes in scale
on the functioning of physical, biological,
or designed systems

Quiz 1              Standard1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1v
4.5.1viii
Standard 6 6.2.1
6.2.2
6.3.1

Worksheet 2         Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1v
4.5.1viii
Standard 6 6.2.1
6.2.2
6.3.1

Quiz 2              Standard 1 M1.1
S1
Standard 4 4.5.1iv
4.5.1v
4.5.1viii
Standard 6 6.2.1
6.2.2

Worksheet 2         Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1v
4.5.1vi
4.5.1viii
Standard 6 6.2.1
6.2.2
6.3.1
Unit 5: Continued
Worksheet 4         Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1v
4.5.1vi
4.5.1viii
Standard 6 6.2.1
6.2.2
6.3.1

Test                Standard 1 M1.1
M2.1
M3.1
S1
S3.1
Standard 4 4.5.1i
4.5.1ii
4.5.1iv
4.5.1v
4.5.1vi
4.5.1viii
Standard 6 6.2.1
6.2.2
6.3.1
Unit 6: 2-D Particle Models
Video Analysis:Projectile Motion   Standard 1 M1.1
M2.1
M3.1
S1
S2.1
S2.2
S2.3
S2.4
S3.1
S3.3
S3.4
Standard 2 2.1.2
2.1.5
Standard 4 4.5.1i
4.5.1ii
4.5.1iii
Standard 6 6.2.1
6.2.2
6.2.4       Compare predictions to actual observations,
using test models
6.5.2

Lab: Trajectory                    Standard 1 M1.1
S1
S2.1
S2.2
S2.3
S2.4
S3.1
S3.3
S3.4
Standard 4 4.5.1iv
4.5.1v
4.5.1vi
4.5.1viii
Standard 6 6.2.1
6.2.2
6.2.4
6.5.1

Worksheet 1                        Standard 1 M1.1
Standard 6 6.5.1
Unit 6: Continued
Coyote Freefall (Earth)   Standard 1 M1.1
M2.1
M3.1
S1
S3.1
Standard 4 4.5.1i
4.5.1ii
4.5.1iii
4.5.1viii
Standard 6 6.5.1

Worksheet 2               Standard 1 M1.1
S1
Standard 4 4.5.1v
4.5.1vi
4.5.1vii    Sketch the theoretical path of a projectile
4.5.1viii
Standard 6 6.2.1
6.2.2
6.2.4
6.3.1

Worksheet 3               Standard 1 M1.1
S1
Standard 4 4.5.1vi
4.5.1viii

Quiz                      Standard 1 M1.1
S1
Standard 4 4.5.1vi
Standard 6 6.2.1
6.2.2
6.2.4

Test                      Standard 1 M1.1
S1
Standard 4 4.5.1iv
4.5.1vi
4.5.1vii
Standard 6 6.2.1
6.2.2

Coyote Freefall (Mars)    Standard 1 M1.1
S3.1
Standard 4 4.5.1iii
Unit 7: Energy (With Less Work)
Lab: Hooke's Law          Standard 1 M1.1
M2.1
M3.1
S1
S2.1
S2.3
S2.4
S3.1
S3.4
Standard 4 4.4.1iii    Determine the energy stored in a spring
4.4.1v      Observe and explain energy conversions
in real-world situations
4.5.1xiii   Determine a spring constant
Standard 6 6.2.3       Find and use mathematical models that
behave in the same manner as the process
under investigation
6.5.2

Lab: Energy Transfer      Standard 1 M1.1
M2.1
M3.1
S1
S2.1
S2.3
S2.4
S3.1
S3.3
S3.4
Standard 2 2.1.1       Understand and use the more advanced
and database software
2.1.5
Standard 4 4.4.1i      Describe and explain the exchange among
potential energy, kinetic energy, and internal
energy for simple mechanical systems
4.4.1v
Standard 6 6.5.2

Worksheet 1               Standard 1 S1
S3.1
Standard 4 4.4.1i
4.4.1v
4.5.1vii
Standard 6 6.2.1
6.2.2
Unit 7: Continued
Worksheet 2         Standard 1 M1.1
S1
Standard 4 4.4.1i
4.4.1iii
4.4.1v
4.5.1v
4.5.1viii
4.5.1xiii
Standard 6 6.2.1
6.2.2
6.4.2       Cite specific examples of how dynamic
equilibrium is achieved by equality of change
in opposing directions

Quiz 1              Standard 1 M1.1
M2.1
M3.1
S1
Standard 4 4.4.1iii
4.5.1x
Standard 6 6.1.1
6.2.3
6.4.1
6.5.1

Worksheet 3a        Standard 1 M1.1
M2.1
S1
S3.1
Standard 4 4.4.1i
4.4.1iii
4.4.1v
Standard 6 6.1.1       Define boundary conditions when doing
systems analysis to determine what
influences a system and how it behaves
6.2.1
6.2.2
6.2.3
Unit 7: Continued
Worksheet 3b        Standard 1 M1.1
M2.1
S1
S3.1
Standard 4 4.4.1i
4.4.1ii     Predict velocities, heights, and spring
compressions based on energy conservation
4.4.1iii
4.4.1v
4.5.1iv
4.5.1v
4.5.1vi
4.5.1viii
Standard 6 6.2.1
6.2.2
6.2.3
6.3.1

Quiz 2              Standard 1 M1.1
M2.1
S1
S3.1
Standard 4 4.4.1i
4.4.1iii
4.4.1v
Standard 6 6.2.1
6.2.2

Worksheet 4         Standard 1 M1.1
S1
S3.1
Standard 4 4.4.1ii
4.4.1iii
4.4.1vi     Recognize and describe conversions among
different forms of energy in real or
hypothetical devices
Standard 6 6.1.1
6.2.1
6.2.2
6.3.1

Worksheet 5         Standard 1 M1.1
M2.1
S1
Standard 4 4.4.1ii
4.4.1iii
4.4.1vii    Compare the power developed when the
same work is done at different rates
Standard 6 6.2.1
6.2.2
6.3.1
Unit 7: Continued
Review              Standard 1 M1.1
M2.1
S1
S3.1
Standard 4 4.4.1i
4.4.1ii
4.4.1iii
4.4.1v
4.4.1vi
4.5.1xiii
Standard 6 6.2.1
6.2.2

Test                Standard 1 M1.1
M2.1
S1
S3.1
Standard 4 4.4.1i
4.4.1ii
4.4.1iii
4.4.1v
4.4.1vii
4.5.1iii
Standard 6 6.2.1
6.2.2
Unit 8: Central Force Particle Model
Lab: Uniform Circular Motion   Standard 1 M1.1
M2.1
M3.1
S1
S2.3
S2.4
S3.1
S3.3
S3.4
Standard 4 4.5.1xi     Verify Newton's Second Law for uniform
circular motion
Standard 6 6.2.1
6.2.2
6.2.3
6.2.4
6.5.1
6.5.2

Circular Motion Simulation     Standard 1 M1.1
M2.1
M3.1
S1
S2.1
S2.3
S2.4
S3.1
S3.3
S3.4
Standard 2 2.1.1
2.1.5
Standard 4 4.5.1xi
Standard 6 6.2.1
6.2.2
6.2.3
6.2.4
6.5.1
6.5.2

Worksheet 1                    Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1v
4.5.1viii
Standard 6 6.2.1
6.2.2
6.3.1
Unit 8: Continued
Quiz                Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1v
4.5.1viii
Standard 6 6.2.1
6.2.2

Worksheet 2         Standard 1 M1.1
S1
S3.1
Standard 4 4.4.1i
4.4.1ii
4.4.1v
4.4.1vi
4.5.1v
4.5.1viii
Standard 6 6.2.1
6.2.2
6.3.1
6.3.2       Extend their use of powers of ten notation
to understanding the exponential function
and performing operations with exponential
factors

Worksheet 3         Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1v
4.5.1viii
Standard 6 6.2.1
6.2.2
6.3.2

Worksheet 4         Standard 1 M1.1
S1
S3.1
4.5.1viii
Standard 6 6.2.1
6.2.2
6.3.1
6.3.2

Test                Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1v
4.5.1vii
4.5.1viii
Standard 6 6.2.1
6.2.2
6.3.1
Unit 9: Impulsive Force Model
Demo: Impulse                    Standard 1 M1.1
M2.1
M3.1
S1
S2.1
S2.3
S2.4
S3.1
S3.3
S3.4
Standard 2 2.1.5
Standard 4 4.5.1i
4.5.1ii
4.5.1ix
Standard 6 6.2.1
6.2.2

Lab: Cart Collisions             Standard 1 M1.1
M2.1
M3.1
S1
S2.1
S2.3
S2.4
S3.1
S3.3
S3.4
Standard 2 2.1.1
2.1.5
Standard 4 4.5.1iv
4.5.1xii   Verify conservation of momentum
Standard 6 6.2.4
6.5.2

Alternative to Cart Collisions                         Same As Regular
Lab But Uses
Ineteractive Physics

Lab Practical                    Standard 1 M1.1
S1
S2.1
S2.3
S2.4
S3.3
S3.4
Standard 4 4.5.1iv
4.5.1xii
Standard 6 6.2.3
6.2.4
Unit 9: Continued
Worksheet 1         Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1v
4.5.1viii
Standard 6 6.2.1
6.2.2
6.2.4
6.3.2

Quiz                Standard 1 M1.1
M2.1
M3.1
S1
S3.1
Standard 4 4.5.1viii
Standard 6 6.2.1
6.2.2

Worksheet 2         Standard 1 M1.1
S1
Standard 4 4.5.1iv
Standard 6 6.2.4

Worksheet 3         Standard 1 M1.1
S1
Standard 4 4.5.1iv
Standard 6 6.2.4

Quiz 2              Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1viii
Standard 6 6.2.1
6.2.2
6.2.3

Test                Standard 1 M1.1
S1
S3.1
Standard 4 4.5.1iv
4.5.1viii
Standard 6 6.2.1
6.2.2
6.2.3
6.3.2

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