First Half
Solving measurement problems involving conversion of units, expression of measurements in scientific notation
Solving measurement problems involving conversion of units, expression of measurements in scientific notation
1. Differentiating accuracy from precision
2. Differentiating random errors from systematic errors
3. Estimating errors from multiple measurements of a physical quantity using variance
Differentiate accuracy from precision Week 1 STEM_GP12EU-Ia-2 Differentiate random errors from systematic errors Week 1 STEM_GP12EU-Ia-3 Estimate errors from multiple measurements of a physical quantity using variance Week 1 STEM_GP12EU-Ia-5 1. Differentiating accuracy from precision
2. Differentiating random errors from systematic errors
3. Estimating errors from multiple measurements of a physical quantity using variance
Differentiate accuracy from precision Week 1 STEM_GP12EU-Ia-2 Differentiate random errors from systematic errors Week 1 STEM_GP12EU-Ia-3 Estimate errors from multiple measurements of a physical quantity using variance Week 1 STEM_GP12EU-Ia-5 Estimating intercepts and slopes—and and their uncertainties—in experimental data with linear dependence using the “eyeball method” and/or linear regression formulae
Estimating intercepts and slopes—and and their uncertainties—in experimental data with linear dependence using the “eyeball method” and/or linear regression formulae
1. Differentiating vector and scalar quantities
2. Rewriting a vector in component form
Differentiate vector and scalar quantities
Week 1
STEM_GP12V-Ia-8
Rewrite a vector in component form
Week 1
STEM_GP12V-Ia-10
1. Differentiating vector and scalar quantities
2. Rewriting a vector in component form
Differentiate vector and scalar quantities
Week 1
STEM_GP12V-Ia-8
Rewrite a vector in component form
Week 1
STEM_GP12V-Ia-10
- Performing addition of vectors
- Performing addition of vectors
1. Converting a verbal description of a physical situation involving uniform acceleration in one dimension into a mathematical description
2. Interpreting displacement and velocity, respectively, as areas under velocity vs. time and acceleration vs. time curves
3. Interpreting velocity and acceleration, respectively, as slopes of position vs. time and velocity vs. time curves
4. Constructing velocity vs. time and acceleration vs. time graphs, respectively, corresponding to a given position vs. time-graph and velocity vs. time graph and vice versa
Convert a verbal description of a physical situation involving uniform acceleration in one dimension into a mathematical description
Week 2
STEM_GP12Kin-Ib-12
Interpret displacement and velocity, respectively, as areas under velocity vs. time and acceleration vs. time curves
Week 2
STEM_GP12KIN-Ib-14
Interpret velocity and acceleration, respectively, as slopes of position vs. time and velocity vs. time curves
Week 2
STEM_GP12KIN-Ib-15
Construct velocity vs. time and acceleration vs. time graphs, respectively, corresponding to a given position vs. time-graph and velocity vs. time graph and vice versa
Week 2
STEM_GP12KIN-Ib-16
1. Converting a verbal description of a physical situation involving uniform acceleration in one dimension into a mathematical description
2. Interpreting displacement and velocity, respectively, as areas under velocity vs. time and acceleration vs. time curves
3. Interpreting velocity and acceleration, respectively, as slopes of position vs. time and velocity vs. time curves
4. Constructing velocity vs. time and acceleration vs. time graphs, respectively, corresponding to a given position vs. time-graph and velocity vs. time graph and vice versa
Convert a verbal description of a physical situation involving uniform acceleration in one dimension into a mathematical description
Week 2
STEM_GP12Kin-Ib-12
Interpret displacement and velocity, respectively, as areas under velocity vs. time and acceleration vs. time curves
Week 2
STEM_GP12KIN-Ib-14
Interpret velocity and acceleration, respectively, as slopes of position vs. time and velocity vs. time curves
Week 2
STEM_GP12KIN-Ib-15
Construct velocity vs. time and acceleration vs. time graphs, respectively, corresponding to a given position vs. time-graph and velocity vs. time graph and vice versa
Week 2
STEM_GP12KIN-Ib-16
1. Solving for unknown quantities in equations involving one-dimensional uniformly accelerated motion, including free fall motion
2. Solving problems involving one-dimensional motion with constant acceleration in contexts such as, but not limited to, the “tail-gating phenomenon”, pursuit, rocket launch, and freefall problems
Solve for unknown quantities in equations involving one-dimensional uniformly accelerated motion , including free fall motion
Week 2
STEM_GP12KIN-Ib-17
Solve problems involving one-dimensional motion with constant acceleration in contexts such as, but not limited to, the “tail-gating phenomenon”, pursuit, rocket launch, and freefall problems
Week 2
STEM_GP12KIN-Ib-19
1. Solving for unknown quantities in equations involving one-dimensional uniformly accelerated motion, including free fall motion
2. Solving problems involving one-dimensional motion with constant acceleration in contexts such as, but not limited to, the “tail-gating phenomenon”, pursuit, rocket launch, and freefall problems
Solve for unknown quantities in equations involving one-dimensional uniformly accelerated motion , including free fall motion
Week 2
STEM_GP12KIN-Ib-17
Solve problems involving one-dimensional motion with constant acceleration in contexts such as, but not limited to, the “tail-gating phenomenon”, pursuit, rocket launch, and freefall problems
Week 2
STEM_GP12KIN-Ib-19
Describing motion using the concept of relative velocities in 1D and 2D
Describing motion using the concept of relative velocities in 1D and 2D
1. Deducing the consequences of the independence of vertical and horizontal components of projectile motion
2. Calculating range, time of flight, and maximum heights of projectiles
Deduce the consequences of the independence of vertical and horizontal components of projectile motion
Week 3
STEM_GP12KIN-Ic-22
Calculate range, time of flight, and maximum heights of projectiles
Week 3
STEM_GP12KIN-Ic-23
1. Deducing the consequences of the independence of vertical and horizontal components of projectile motion
2. Calculating range, time of flight, and maximum heights of projectiles
Deduce the consequences of the independence of vertical and horizontal components of projectile motion
Week 3
STEM_GP12KIN-Ic-22
Calculate range, time of flight, and maximum heights of projectiles
Week 3
STEM_GP12KIN-Ic-23
1. Inferring quantities associated with circular motion such as tangential velocity, centripetal acceleration, tangential acceleration, radius of curvature
2. Solving problems involving two dimensional motion in contexts such as, but not limited to ledge jumping, movie stunts, basketball, safe locations during firework displays, and Ferris wheels
Infer quantities associated with circular motion such as tangential velocity, centripetal acceleration, tangential acceleration, radius of curvature
Week 3
STEM_GP12KIN-Ic-25
Solve problems involving two dimensional motion in contexts such as, but not limited to ledge jumping, movie stunts, basketball, safe locations during firework displays, and Ferris wheels
Week 3
STEM_GP12KIN-Ic-26
1. Inferring quantities associated with circular motion such as tangential velocity, centripetal acceleration, tangential acceleration, radius of curvature
2. Solving problems involving two dimensional motion in contexts such as, but not limited to ledge jumping, movie stunts, basketball, safe locations during firework displays, and Ferris wheels
Infer quantities associated with circular motion such as tangential velocity, centripetal acceleration, tangential acceleration, radius of curvature
Week 3
STEM_GP12KIN-Ic-25
Solve problems involving two dimensional motion in contexts such as, but not limited to ledge jumping, movie stunts, basketball, safe locations during firework displays, and Ferris wheels
Week 3
STEM_GP12KIN-Ic-26
1. Defining inertial frames of reference
2. Identifying action-reaction pairs
3. Applying Newton’s 1st law to obtain quantitative and qualitative conclusions about the contact and noncontact forces acting on a body in equilibrium
4. Applying Newton’s 2nd law and kinematics to obtain quantitative and qualitative conclusions about the velocity and acceleration of one or more bodies, and the contact and noncontact forces acting on one or more bodies
5. Solving problems using Newton’s Laws of motion in contexts such as, but not limited to, ropes and pulleys, the design of mobile sculptures, transport of loads on conveyor belts, force needed to move stalled vehicles, determination of safe driving speeds on banked curved roads
Define inertial frames of reference
Week 4
STEM_GP12N-Id-28
Identify action-reaction pairs
Week 4
STEM_GP12N-Id-31
Apply Newton’s 1st law to obtain quantitative and qualitative conclusions about the contact and noncontact forces acting on a body in equilibrium
Week 4
STEM_GP12N-Ie-33
Apply Newton’s 2nd law and kinematics to obtain quantitative and qualitative conclusions about the velocity and acceleration of one or more bodies, and the contact and noncontact forces acting on one or more bodies
Week 5
STEM_GP12N-Ie-36
Solve problems using Newton’s Laws of motion in contexts such as, but not limited to, ropes and pulleys, the design of mobile sculptures, transport of loads on conveyor belts, force needed to move stalled vehicles, determination of safe driving speeds on banked curved roads
Week 5
STEM_GP12N-Ie-38
1. Defining inertial frames of reference
2. Identifying action-reaction pairs
3. Applying Newton’s 1st law to obtain quantitative and qualitative conclusions about the contact and noncontact forces acting on a body in equilibrium
4. Applying Newton’s 2nd law and kinematics to obtain quantitative and qualitative conclusions about the velocity and acceleration of one or more bodies, and the contact and noncontact forces acting on one or more bodies
5. Solving problems using Newton’s Laws of motion in contexts such as, but not limited to, ropes and pulleys, the design of mobile sculptures, transport of loads on conveyor belts, force needed to move stalled vehicles, determination of safe driving speeds on banked curved roads
Define inertial frames of reference
Week 4
STEM_GP12N-Id-28
Identify action-reaction pairs
Week 4
STEM_GP12N-Id-31
Apply Newton’s 1st law to obtain quantitative and qualitative conclusions about the contact and noncontact forces acting on a body in equilibrium
Week 4
STEM_GP12N-Ie-33
Apply Newton’s 2nd law and kinematics to obtain quantitative and qualitative conclusions about the velocity and acceleration of one or more bodies, and the contact and noncontact forces acting on one or more bodies
Week 5
STEM_GP12N-Ie-36
Solve problems using Newton’s Laws of motion in contexts such as, but not limited to, ropes and pulleys, the design of mobile sculptures, transport of loads on conveyor belts, force needed to move stalled vehicles, determination of safe driving speeds on banked curved roads
Week 5
STEM_GP12N-Ie-38
- Drawing free-body diagrams
- Drawing free-body diagrams
Differentiating the properties of static friction and kinetic friction
- Differentiating the properties of static friction and kinetic friction
1. Defining inertial frames of reference
2. Identifying action-reaction pairs
3. Applying Newton’s 1st law to obtain quantitative and qualitative conclusions about the contact and noncontact forces acting on a body in equilibrium
4. Applying Newton’s 2nd law and kinematics to obtain quantitative and qualitative conclusions about the velocity and acceleration of one or more bodies, and the contact and noncontact forces acting on one or more bodies
5. Solving problems using Newton’s Laws of motion in contexts such as, but not limited to, ropes and pulleys, the design of mobile sculptures, transport of loads on conveyor belts, force needed to move stalled vehicles, determination of safe driving speeds on banked curved roads
Calculate the dot or scalar product of vectors
Week 5
STEM_GP12WE-If-40
Determine the work done by a force acting on a system
Week 5
STEM_GP12WE-If-41
Define work as a scalar or dot product of force and displacement
Week 6
STEM_GP12WE-If-42
Interpret the work done by a force in one dimension as an area under a Force vs. Position curve
Week 6
STEM_GP12WE-If-43
Relate the gravitational potential energy of a system or object to the configuration of the system
Week 6
STEM_GP12WE-Ig-48
Relate the elastic potential energy of a system or object to the configuration of the system
Week 6
STEM_GP12WE-Ig-49
Use potential energy diagrams to infer force; stable, unstable, and neutral equilibria; and turning points
Week 7
STEM_GP12WE-Ig-53
Solve problems involving work, energy, and power in contexts such as, but not limited to, bungee jumping, design of roller-coasters, number of people required to build structures such as the Great Pyramids and the rice terraces; power and energy requirements of human activities such as sleeping vs. sitting vs. standing, running vs. walking.
Week 7
STEM_GP12WE-Ihi-55
1. Defining inertial frames of reference
2. Identifying action-reaction pairs
3. Applying Newton’s 1st law to obtain quantitative and qualitative conclusions about the contact and noncontact forces acting on a body in equilibrium
4. Applying Newton’s 2nd law and kinematics to obtain quantitative and qualitative conclusions about the velocity and acceleration of one or more bodies, and the contact and noncontact forces acting on one or more bodies
5. Solving problems using Newton’s Laws of motion in contexts such as, but not limited to, ropes and pulleys, the design of mobile sculptures, transport of loads on conveyor belts, force needed to move stalled vehicles, determination of safe driving speeds on banked curved roads
Calculate the dot or scalar product of vectors
Week 5
STEM_GP12WE-If-40
Determine the work done by a force acting on a system
Week 5
STEM_GP12WE-If-41
Define work as a scalar or dot product of force and displacement
Week 6
STEM_GP12WE-If-42
Interpret the work done by a force in one dimension as an area under a Force vs. Position curve
Week 6
STEM_GP12WE-If-43
Relate the gravitational potential energy of a system or object to the configuration of the system
Week 6
STEM_GP12WE-Ig-48
Relate the elastic potential energy of a system or object to the configuration of the system
Week 6
STEM_GP12WE-Ig-49
Use potential energy diagrams to infer force; stable, unstable, and neutral equilibria; and turning points
Week 7
STEM_GP12WE-Ig-53
Solve problems involving work, energy, and power in contexts such as, but not limited to, bungee jumping, design of roller-coasters, number of people required to build structures such as the Great Pyramids and the rice terraces; power and energy requirements of human activities such as sleeping vs. sitting vs. standing, running vs. walking.
Week 7
STEM_GP12WE-Ihi-55
Explaining the properties and the effects of conservative forces
Explaining the properties and the effects of conservative forces
1. Differentiating center of mass and geometric center
2. Relating the motion of center of mass of a system to the momentum and net external force acting on the system
3. Relating the momentum, impulse, force, and time of contact in a system
4. Comparing and contrasting elastic and inelastic collisions
5. Applying the concept of restitution coefficient in collisions
6. Solving problems involving center of mass, impulse, and momentum in contexts such as, but not limited to, rocket motion, vehicle collisions, and ping-pong
1. Differentiating center of mass and geometric center
2. Relating the motion of center of mass of a system to the momentum and net external force acting on the system
3. Relating the momentum, impulse, force, and time of contact in a system
4. Comparing and contrasting elastic and inelastic collisions
5. Applying the concept of restitution coefficient in collisions
6. Solving problems involving center of mass, impulse, and momentum in contexts such as, but not limited to, rocket motion, vehicle collisions, and ping-pong