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AP Physics 1 Science Practices Review

The AP Physics 1 science practices are the skills the exam actually tests: building representations, doing purposeful math, and constructing evidence-based arguments. Every free-response question scores at least one of these practices, so knowing what each one demands is as important as knowing the physics content.

Use the topic guides below to study each practice in depth, then check your score estimate with the score calculator.

What are the AP Physics 1 science practices?

The three science practices are not separate topics you study once and move on from. They are recurring skills that the exam applies to every content area, from kinematics to fluids. A question about Newton's second law might ask you to draw a free-body diagram (SP 1), derive an expression for acceleration (SP 2), and then justify why a specific force causes the observed motion (SP 3).

Science Practice 1 = draw it. Science Practice 2 = calculate or derive it. Science Practice 3 = design an experiment, make a claim, and back it up with physics reasoning.

Science Practice 1: Creating Representations

You translate a physical situation into a diagram, graph, table, or sketch. Common tasks include drawing free-body diagrams with correctly scaled and labeled vectors, plotting data with appropriate axes and units, and sketching position-time or velocity-time curves that match described motion. This practice appears only on the free-response section.

Science Practice 2: Mathematical Routines

You move from known quantities to unknown ones using a logical mathematical pathway. Subskills include deriving symbolic expressions (2.A), calculating or estimating values with units (2.B), comparing quantities across scenarios (2.C), and predicting how one variable changes when another changes (2.D). This practice appears on both multiple-choice and free-response questions.

Science Practice 3: Scientific Questioning and Argumentation

You design procedures that answer a scientific question (3.A), apply a physics law or model to state what should happen (3.B), and justify your reasoning with data, diagrams, or physics principles (3.C). This practice appears on both multiple-choice and free-response questions and is central to any lab-design or justify-your-answer prompt.

Why the practices matter more than formulas

The AP Physics 1 exam does not reward memorized plug-and-chug. Scorers look for correct representations, clearly labeled derivations, and explicit reasoning that connects a physics principle to a specific claim. A student who can state Newton's second law but cannot draw the corresponding free-body diagram or explain why net force equals mass times acceleration in a given context will lose points that a formula sheet cannot recover.

Thematic study guides

1

Creating Representations

Build diagrams, graphs, and sketches that accurately show physical phenomena. This practice is tested exclusively on the free-response section and includes free-body diagrams, motion graphs, and energy bar charts.

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2

Mathematical Routines

Derive symbolic expressions, calculate numerical answers with units, compare quantities across scenarios, and predict how variables change proportionally. This practice appears on both multiple-choice and free-response questions.

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3

Scientific Questioning and Argumentation

Design controlled experiments, apply physics laws to make specific claims, and justify those claims with explicit evidence and reasoning. This practice appears on both multiple-choice and free-response questions.

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Science practices review notes

Science Practice 1

Creating Representa­tions: what counts and what gets scored

SP 1 tasks always ask you to produce something visual. The most common forms are free-body diagrams, motion graphs, and energy bar charts. Each has specific conventions the exam expects: vectors must be labeled with the force type and the object exerting the force, graph axes must include quantity names and units, and sketches must show correct qualitative shape even when exact values are not required.

  • Free-body diagram: A dot or box representing the object with labeled force vectors drawn from the center; length should reflect relative magnitude when the prompt asks for it.
  • Motion graph: A position-time, velocity-time, or acceleration-time graph where slope and area carry physical meaning; a straight line on a v-t graph means constant acceleration.
  • Energy bar chart: A qualitative representation showing how kinetic, gravitational potential, elastic potential, and thermal energy change across a process; bars must be consistent with conservation of energy.
Can you draw a free-body diagram for a block on an inclined plane with friction, label every force correctly, and identify which forces are equal in magnitude when the block moves at constant velocity?
Representation typeWhat the slope meansWhat the area means
Position-time graphVelocityNot directly meaningful
Velocity-time graphAccelerationDisplacement
Acceleration-time graphChange in acceleration (rarely needed)Change in velocity
Science Practice 2

Mathematical Routines: deriving, calculating, comparing, and predicting

SP 2 is the most broadly applied practice. Subskill 2.A asks you to derive a symbolic expression by combining equations algebraically before substituting numbers. Subskill 2.B asks you to calculate a numerical answer with correct units. Subskill 2.C asks you to compare two quantities or scenarios. Subskill 2.D asks you to predict the direction or magnitude of change when a variable is altered. On FRQs, showing your starting equation and each algebraic step earns partial credit even if your final answer is wrong.

  • Symbolic derivation (2.A): Start from a fundamental equation, substitute relationships, and simplify to an expression in terms of the given variables only; do not plug in numbers until the final step.
  • Estimation (2.B): Use order-of-magnitude reasoning or given data to produce a numerical answer; always attach units and check that the answer is physically reasonable.
  • Proportional reasoning (2.D): If F = ma and mass doubles while net force stays constant, acceleration halves; express this as a ratio rather than recalculating from scratch.
Given that the period of a simple pendulum is T = 2pi times the square root of L over g, can you derive how T changes if the length is quadrupled, without plugging in numbers?
SubskillPrompt language to recognizeWhat to do
2.A Derive"Derive an expression for..."Combine equations symbolically; leave answer in terms of given variables
2.B Calculate"Calculate the value of..."Substitute numbers, include units, box the answer
2.C Compare"How does X compare to Y?"State which is larger or smaller and by what factor
2.D Predict"If [variable] increases, what happens to [quantity]?"Use proportional reasoning to state direction and factor of change
Science Practice 3

Scientific Questioning and Argumentation: design, claim, justify

SP 3 shows up whenever a prompt asks you to design an experiment, state what a physics law predicts, or explain why something happens. Subskill 3.A is experimental design: you identify the independent and dependent variables, describe a procedure that controls other variables, and specify what data to collect and how to analyze it. Subskill 3.B is applying a law or model to make a specific, testable claim. Subskill 3.C is justification: you connect your claim to a physics principle with explicit logical steps, not just a restatement of the claim.

  • Independent variable: The quantity you deliberately change in an experiment; must be identified and isolated from other variables.
  • Dependent variable: The quantity you measure in response to changes in the independent variable; your data collection method must target this quantity.
  • Claim (3.B): A specific statement about what will happen, grounded in a named physics law or model, not a vague prediction.
  • Justification (3.C): An explanation that names the relevant physics principle, connects it to the specific situation, and explains the logical chain from principle to prediction.
A prompt asks you to justify why a cart moving on a frictionless track at constant velocity has zero net force. Can you name Newton's first law, state what it says, and connect it explicitly to the cart's situation in two or three sentences?
SubskillWhat a weak response looks likeWhat a strong response looks like
3.A Design"Measure the force and the acceleration""Apply a known net force using a hanging mass, measure acceleration with a motion sensor, repeat for five different masses while keeping the cart mass constant"
3.B Claim"The object will slow down""By Newton's second law, a net force directed opposite to velocity will produce a negative acceleration, so the object will decelerate at a rate of F/m"
3.C Justify"Because energy is conserved""By conservation of mechanical energy, the loss in gravitational PE equals the gain in KE, so (1/2)mv^2 = mgh, giving v = sqrt(2gh)"

Common mistakes

Drawing force vectors from the wrong point

Free-body diagram vectors must originate from the object, not from the surface or the agent. A normal force drawn pointing away from the surface but starting at the surface rather than the object will lose credit.

Plugging in numbers before deriving symbolically

When a prompt says 'derive an expression,' substituting numbers immediately earns no credit for the derivation step even if the final number is correct. Work symbolically until the expression is fully simplified.

Restating the claim instead of justifying it

A common SP 3.C error is writing 'the acceleration increases because there is more force' without naming Newton's second law or showing the relationship a = F_net / m. Justification requires naming the principle and connecting it to the specific situation.

Omitting units or using inconsistent units

Answers without units receive no credit for the numerical result. Mixing centimeters and meters in the same calculation produces an answer that is off by a factor of 100 or more.

Confusing slope and area on motion graphs

The slope of a position-time graph is velocity, not acceleration. The area under a velocity-time graph is displacement, not distance unless the velocity is always positive. Mixing these up leads to wrong graph shapes and wrong predictions.

How this theme shows up on the AP exam

How science practices appear on multiple-choice questions

SP 2 and SP 3 both appear on multiple-choice. Expect questions that give you a scenario and ask which expression correctly represents a quantity (SP 2.A), how a value changes when a variable is altered (SP 2.D), or which claim is supported by a given physics law (SP 3.B). SP 1 does not appear on multiple-choice; you will not be asked to draw anything there.

How science practices are scored on free-response questions

Each FRQ part is tagged to a specific science practice subskill. A part tagged SP 1 expects a labeled diagram or graph. A part tagged SP 2.A expects a symbolic derivation. A part tagged SP 3.C expects a written justification with a named principle. Knowing the subskill tag tells you exactly what format your answer must take to earn full credit.

How to use the practices together on a single FRQ

Many FRQs chain all three practices across their parts. A typical sequence: Part A asks you to draw a free-body diagram (SP 1), Part B asks you to derive an expression for acceleration (SP 2.A), and Part C asks you to justify whether the acceleration would increase or decrease if a variable changed (SP 3.C). Recognizing this structure helps you allocate time and avoid spending all your effort on the diagram while rushing the justification.

Review checklist

  • Draw free-body diagrams correctlyEvery force vector must be labeled with the force type and the agent exerting it. Vectors should originate from the object, and relative lengths should reflect magnitude when the prompt specifies it.
  • Sketch motion graphs with correct qualitative shapeKnow what constant velocity, constant acceleration, and changing acceleration look like on position-time and velocity-time graphs. Confirm that the slope of your v-t graph matches the acceleration described in the problem.
  • Derive before you calculateOn any FRQ that says 'derive an expression,' work symbolically first. Combine the relevant equations algebraically, simplify to the target variables, and only substitute numbers if the prompt also asks for a numerical answer.
  • Use proportional reasoning for predict questionsWhen a variable changes by a factor, express the effect as a ratio. If T is proportional to the square root of L, quadrupling L doubles T. Write this as a ratio statement, not a new calculation.
  • Name the law before you apply itFor any SP 3.B or 3.C task, state the physics principle by name first, then connect it to the specific situation. 'By conservation of momentum...' followed by a specific equation and explanation earns more credit than jumping straight to algebra.
  • Identify variables in experimental design promptsFor SP 3.A tasks, explicitly name the independent variable, the dependent variable, and at least one controlled variable. Describe how you would measure the dependent variable and what graph you would plot to analyze the relationship.
  • Check units at every stepCarry units through every calculation. If your final answer has units of kg times m per s squared and the question asks for a force, confirm that equals Newtons. Unit mismatches signal an algebra error.

How to study science practices

Start with the topic guides for each practiceRead the three published topic guides for Science Practice 1, 2, and 3 in order. Each guide explains the subskills, shows worked examples, and includes FRQ tips. Focus on understanding what each subskill label means before moving to application.
Practice drawing representations from scratchFor SP 1, take any textbook problem and draw the free-body diagram, then sketch the corresponding motion graph without looking at the answer. Check that your force labels include both the type and the agent, and that your graph slope matches the described acceleration.
Work through symbolic derivations in every unitFor SP 2, pick one key equation per unit, such as the impulse-momentum theorem or the work-energy theorem, and practice deriving a target variable symbolically from a described scenario. Time yourself to build fluency before the exam.
Write out justifications in full sentencesFor SP 3, after solving any problem, write a two-to-three sentence justification that names the physics law, states what it predicts, and connects it to the specific numbers or situation. This mirrors exactly what FRQ scorers look for.
Use the score calculator to set a targetAfter reviewing all three practices, use the available score calculator to estimate your current AP score based on your comfort with each practice. Identify which subskills are weakest and return to the corresponding sections of the topic guides.

More ways to review

Topic study guides

Open the individual guides for Science Practices when you want a closer review of one topic.

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FRQ practice

Practice free-response reasoning and compare your answer with scoring guidance.

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Cheatsheets

Use unit cheatsheets for a quick visual review after you work through the notes.

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Score calculator

Estimate your broader AP score goal after you review the course and exam format.

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Ready to review Science Practices?Start with the notes, check the topic cards, and use the practice or resource links when they are available for this course.