1
Differentiate distance and displacement
Compare path length and shortest change in position.
Chapter route
Motion
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Ordered curriculum items
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2
Differentiate speed and velocity
Compare scalar speed with directional velocity.
3
Define displacement velocity and acceleration
Define core motion quantities clearly.
4
Use SI units for motion quantities
Express displacement, velocity and acceleration in correct SI units.
5
Plot position time graphs
Plot position-time graphs for one-dimensional motion.
6
Interpret position time graphs
Use slope and graph shape to describe motion.
7
Plot velocity time graphs
Plot velocity-time graphs for constant velocity or acceleration.
8
Interpret velocity time graphs
Find acceleration and displacement from velocity-time graphs.
9
Derive equations of motion graphically
Derive kinematic equations using graphical method.
10
Solve numerical problems using equations of motion
Calculate unknown quantities using constant acceleration equations.
11
Calculate average velocity from graph
Calculate average velocity using displacement and time or graphs.
12
Calculate average acceleration from graph
Use velocity-time data to calculate average acceleration.
13
Define uniform circular motion
Explain motion at constant speed on a circular path.
14
Derive speed in uniform circular motion
Derive speed using circumference and time period.
15
Investigate motion using measurements
Collect motion data using simple instruments and represent it.
16
Model real life motion events
Analyse variables affecting real-life motion and communicate conclusions.
17
Learn advanced motion concepts - Sign convention in vertical motion
Use consistent sign convention for upward and downward motion, and assign correct signs to displacement, velocity and acceleration due to gravity.
18
Learn advanced motion concepts - Upward and downward motion numericals
Solve numerical problems involving bodies thrown upward, dropped downward or projected vertically using equations of motion under gravity.
19
Learn advanced motion concepts - Maximum height and time relations
Use motion equations to find maximum height, time to rise, time to fall and total time of flight in vertical motion.
20
Learn advanced motion concepts - Nth-second and last-second motion
Solve advanced motion-under-gravity questions involving distance covered in nth second, last second and ratio-based reasoning.
21
Learn advanced motion concepts - Meeting and crossing problems under gravity
Solve problems where two bodies are dropped or thrown simultaneously and their meeting point, meeting time or relative motion must be determined.
22
Learn advanced motion tools - Slope as rate of change
Understand the idea of differentiation as rate of change and connect the slope of a position-time function with velocity.
23
Learn advanced motion tools - Velocity from position function
Differentiate simple polynomial or algebraic position-time expressions to obtain velocity at any instant.
24
Learn advanced motion tools - Acceleration from velocity function
Differentiate simple velocity-time expressions to determine acceleration and interpret whether motion is speeding up or slowing down.
25
Learn advanced motion tools - Product rule in motion expressions
Use the product rule in basic motion expressions where the position or velocity is expressed as a product of simple factors.
26
Learn advanced motion tools - Chain rule in motion expressions
Use the chain rule in basic composite motion expressions and connect the result to velocity or acceleration.
27
Learn advanced motion tools - Displacement from velocity by integration
Use simple integration to determine displacement from velocity functions and connect integration with accumulation of motion.
28
Learn advanced motion tools - Area interpretation of integration
Relate the area under a velocity-time graph to displacement and use simple graph-based integration ideas in motion problems.
29
Learn advanced graph concepts - Position-time graphs
Read and analyse advanced position-time graphs to identify rest, constant speed, variable speed and direction of motion.
30
Learn advanced graph concepts - Velocity-time graphs
Read and analyse velocity-time graphs to determine acceleration, retardation, displacement and different motion phases.
31
Learn advanced graph concepts - Acceleration-time graphs
Interpret acceleration-time graphs and connect them with changes in velocity over time.
32
Learn advanced graph concepts - Slope and area reasoning
Use slope and area methods to solve advanced graph questions involving velocity, acceleration and displacement.
33
Learn advanced graph concepts - Real-life motion interpretation
Interpret which graph best represents a given motion situation such as braking, free fall, returning motion or piecewise motion.
34
Learn advanced graph concepts - Equation and graph conversion
Relate simple motion equations to corresponding graphs and infer equations from graph features.
35
Learn advanced graph concepts - Mixed graph challenge
Solve multi-step graph problems involving piecewise motion, sign interpretation, interval reasoning and comparison of multiple graphs.
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