Grade 11/12- CP Physics
Mathematical Practices:
UNIT #3: PROJECTILE MOTION
21 st Century Themes
 Critical Thinking and problem solving  Make sense of problems and persevere in solving them.
 Reason abstractly and quantitatively.
 Construct viable arguments and critique the reasoning of others.
 Model with mathematics
 Attend to precision
 Look for and express regularity in repeated reasoning
CCSS Science and Technical Standards Reading:
RST.11-12.1 Cite specific textual evidence to support analysis of science and technical texts, attending to important distinctions the author makes and to any gaps or inconsistencies in the account. (HS-PS2-1),(HS-PS2-6)
RST.11-12.7 Integrate and evaluate multiple sources of information presented in diverse formats and media (e.g., quantitative data, video, multimedia) in order to address a question or solve a problem. (HS-PS2-1
)
CCSS Science and Technical Standards Writing:
WHST.11-12.2 Write informative/explanatory texts, including the narration of historical events, scientific procedures/ experiments, or technical processes.
WHST.11-12.7 Conduct short as well as more sustained research projects to answer a question (including a selfgenerated question) or solve a problem; narrow or broaden the inquiry when appropriate; synthesize multiple sources on the subject, demonstrating understanding of the subject under investigation.
WHST.11-12.9 Draw evidence from informational texts to support analysis, reflection, and research.
 1b. Students know that when forces are unbalanced, no acceleration occurs; thus the object continues to move at a constant speed or stays at rest.
 1i. Students know how to solve two-dimensional trajectory problems.
 1j. Students know how to resolve two-dimensional vectors into their components and calculate the magnitude and direction of a vector from its components.
NGSS
PS2.A: Forces and Motion

Pushes and pulls can have different strengths and directions. (K-PS2-1),(K-PS2-2)

Pushing or pulling on an object can change the speed or direction of its motion and can start or stop it. (K-
PS2-1),(K-PS2-2)
Concepts
1. Scalar are numbers and vectors are numbers and directions.
2. Vectors follow the same properties of operations that numbers follow (commutative, zero, identity, associative, distributive, etc)
3. Projectiles follow a parabolic path due to the constant horizontal velocity and the changing vertical velocity due to gravity.
4.
Gravity only affects objects’ vertical motion.
5. Maximum range is obtained using a launch angle of 45 degrees.
6. Two complementary angles will produce the same range.
7. Parabolas are symmetrical by nature and thus, a projectile’s motion will also have the same symmetry.
Skills

8. Vector addition
9. Tip-to-Tail method
10.
Pythagorean’s Theorem
11. Excel to graph
12. Algebra to solve problems with kinematic equations
1. How are horizontal and vertical motions related?
2.
How can you describe an object’s 2D motion in words, graphically, and mathematically?
Why does an object launched with horizontal velocity travel in a parabolic path?
1. What does the displacement of an object launched or drop depend on?
2.
Why does vertical motion involve acceleration and horizontal motion does not?
3.
What two launch angles will result in the same range?
4.
What does the parabolic nature of a projectile tell us about the motion?
Students will be able to:
1. Differentiate between scalar and vector quantities and give examples of each.
2. Use vector addition (include Tip-to-
Tail methods and Pythagorean’s Theorem) to find the resultant of two vectors
3. Resolve vectors into components and calculate the magnitude of the resultant from its components.
4. Predict the motion of an object launched with horizontal velocity as an object following a symmetrical and parabolic path.
5. Use a parabola’s symmetry to predict velocity of an object ascending or descending, when the other half is given.
6. Identify the changes in velocity in the vertical direction as a result of gravity
7. Understand and apply the understanding that the horizontal motion of an object remains constant, when air resistance is ignored.
8. Understand and explain that the maximum range of a projectile is obtained when launched at a 45 degree angle
9. Understand and explain that there are two launch angles that can produce the same range of motion and that these two launch angles are complementary angles.
10. Be able to use kinematic equations from previous unit and understanding of the independent horizontal and vertical motion of objects to solve 2D motion problems.
- freely falling
- Displacement
- uniform acceleration
- Velocity
- horizontal
- Acceleration
- vertical
- Vector
- component
- Scalar
- range
- angle
- Projectile
- resultant
- range
- launch angle
- complementary angles
1. Simulation: Vector addition
2. Inquiry activity: Monkey and Hunter
Vector interactive:
Monkey and Hunter Simulation
Projectile PHET
Hewitt Conceptual Physics Textbook Chapter 4
Multiple choice and free response test

see Haiku assignments
1.
Vector addition
2.
Component vectors and projectile motion
3.
ACT projectile motion maximum range
4.
Kinematic Equations worksheet
Unit #3 Lab Report – graph range of projectile and time.
: Multiple choice Haiku Quiz on vectors, vector addition, projectile motion vectors