1.0A Physics Toolkit
Overview: A Physics Toolkit: Methods, Mathematics, Measurement and Graphs — American System Physics Revision Notes & Topical Questions
5 min read 7 parts Lesson 2 of 5 Unit quiz
Lesson summary
Use SI units and prefixes.Slope of a graph = rise ÷ run and carries units.Parallax errors occur when reading scales at an angle.A model is a representation that explains and predicts behaviour.A scientific law describes what happens; a theory explains why.Scientific notation expr…
- Multiply/divide
- Add/subtract
- Convert 72 km/h to m/s
- A graph of distance vs time has slope 4.0 m/s. What does the slope represent?
- Scientific method
- Dimensional analysis
Part 1 of 7Key ideas
1
Slope of a graph = rise ÷ run and carries units.
2
Parallax errors occur when reading scales at an angle.
3
A model is a representation that explains and predicts behaviour.
4
A scientific law describes what happens; a theory explains why.
5
Scientific notation expresses very large or small numbers: 3.0 × 108.
Part 2 of 7Learning objectives
Learning objectives
Use SI units and prefixes.
Apply significant figures and scientific notation.
Interpret graphs of physical relationships.
Part 3 of 7Essential knowledge
Estimate answers to check reasonableness (order of magnitude).
Multiply/divide
Multiply/divide keep fewest significant figures.
Add/subtract
Add/subtract keep fewest decimal places.
A line of best fit shows the trend, ignoring scatter.
Uncertainty should be reported with measurements.
Part 4 of 7Process & sequence
1
Write the quantity with its unit.
2
Convert to SI base units with prefixes.
3
Rearrange the equation symbolically before substituting.
4
Substitute values with units and calculate.
5
Round to the correct significant figures and check the unit.
Solving a physics problemwrite these steps in this order; each step is a marking point.
1
Read and sketch
2
List knowns/unknowns
3
Choose equation
4
Substitute with units
5
Check answer
Part 5 of 7Worked examples
1Convert 72 km/h to m/s.
- 72 × 1000 ÷ 3600 = 20 m/s.
2A graph of distance vs time has slope 4.0 m/s. What does the slope represent?
- The speed of the object, 4.0 m/s.
Part 6 of 7Summary
Summary
Always use SI units.
Check equations with dimensional analysis.
Graph shape reveals the relationship.
Part 7 of 7Compare: Compare
| Prefix | Symbol | Factor |
|---|---|---|
| giga | G | 109 |
| mega | M | 106 |
| kilo | k | 103 |
| centi | c | 10−2 |
| milli | m | 10−3 |
| micro | µ | 10−6 |
| nano | n | 10−9 |
| Graph | Relationship | Equation |
|---|---|---|
| Straight line through origin | Direct proportion | y = mx |
| Straight line | Linear | y = mx + b |
| Parabola (upward curve) | Quadratic | y = ax² + bx + c |
| Hyperbola | Inverse | y = a/x |
Key terms
Command terms
Command terms
Identify / Describe (FRQ)
A short, specific statement; describing requires relevant characteristics, not a single word.
Explain / Justify (FRQ)
Give the cause-and-effect reasoning or evidence; a restated fact does not score.
Calculate
Show setup, substitution and the answer with units.
Predict
State the expected outcome; add a reason only if asked to justify.
MCQ technique
Read every option; eliminate distractors that are true statements but do not answer the question; watch for NOT/EXCEPT.
Exam technique
Keywords the mark scheme looks for in this lesson
Keywords the mark scheme looks for in this lesson
Scientific method · SI units · Dimensional analysis · Significant figures · Precision · Accuracy · Independent variable · Dependent variable
Learn each definition in the Key words tab exactly; a missing keyword in a definition usually loses the mark.
How to get full marks (examiner guidance)
1
Answer exactly what is asked; extra correct material does not earn credit, and contradictory statements can cancel credit (AP FRQ).
2
Use precise vocabulary (e.g. “active site”, “concentration gradient”, “allele”), never “it/stuff/things”.
3
Show units and working in calculations.
4
In MCQs, predict the answer before reading the options, then eliminate.
Instant feedbackCheck yourself
Q1. 5.2 mm in metres
- A. 0.52 m
- B. 0.0052 m
- C. 5200 m
- D. 0.052 m
Show answer
B. ×10−3.
Q2. A straight line through the origin shows
- A. inverse
- B. direct proportion
- C. quadratic
- D. no relation
Show answer
B. y = mx.
Q3. Significant figures in 0.00340
- A. 2
- B. 3
- C. 5
- D. 6
Show answer
B. 3, 4, 0.
Q4. Repeated readings close together but far from true value are
- A. accurate
- B. precise but not accurate
- C. both
- D. neither
Show answer
B. Systematic error.
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