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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

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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

1.1 A Physics Toolkit: Methods, Mathemati… concept map: Multiply/divide, Add/subtract, Convert 72 km/h to m/s., A graph of distance vs time h, Scientific method
Visual guide to the key ideas explained in this lesson.
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

SI prefixes
PrefixSymbolFactor
gigaG109
megaM106
kilok103
centic10−2
millim10−3
microµ10−6
nanon10−9
Graph shapes
GraphRelationshipEquation
Straight line through originDirect proportiony = mx
Straight lineLineary = mx + b
Parabola (upward curve)Quadraticy = ax² + bx + c
HyperbolaInversey = 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.

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