← Teacher guide

How big, which way?

Students represent forces as arrows with the right size and direction, and name them (AC9S7U04, node 1, a hinge node).

Year 7 Physics · Forces and motion · about 25 minutes · Open the student lesson

Classroom resources

Load these into Waypoints Prepare: choose Load URL and paste the copied address, or download the file and import it. In Prepare, the worksheet's Teacher edition shows the answers; the student copy hides them.

Students will be able to

Timing

Engage and Explore 6 min · Explain 7 min · Practise 6 min · Evaluate 3 min · Typical adds 3 min, Wider about 3 min

Before class

A concept tutorial for introducing or revising the idea; it does not replace force meters and real pushes. Set the width with ?width=minimum, typical (default) or wider.

The hinge risk is imprecise diagrams: wrong direction, missing forces (especially support), sizes that don't match. Every later node uses diagrams to reason, so the Practise step matters.

Board notes: arrows start at the object's centre, the usual convention for a force diagram. The boards use g = 9.8 N/kg, as the weight lesson does; masses are chosen so the weights are whole numbers (5 kg weighs 49 N).

Running the lesson

  1. Engage: ask what else an arrow could show; 'which way it moves' is the misconception the trolley exposes (friction points backwards).
  2. Explore: ask students to make the push smaller than 10 N and notice friction shrinking with it.
  3. Practise: the book task is the commonest omission (the table's push). Stop and discuss it.
  4. In your own words: collect the trolley diagram.

The hard part (on purpose)

Drawing every force with the right length and direction. When a force is missing, ask what stops the object falling or sliding.

When students get stuck

What you will seeA question to askThe fix
A student leaves out the support force.The book isn't falling through the table. What stops it?The table pushes up: support (normal force), equal to the weight when the book is at rest.
A student draws friction in the direction of motion.What does friction try to do to sliding?Stop it: friction acts against the sliding (or the push).
Arrows all the same length.Which force is bigger? How would someone see that from your drawing?Make the bigger force's arrow longer, in proportion.

Answers to the checks

  1. Engage: what does an arrow tell you?: In a force diagram, each force is drawn as an arrow. What do you predict the arrow shows?
    Both. The arrow's length shows the size of the force and it points the way the force acts. (It does not always point the way the object moves.)
  2. Explore: push the trolley: Make the push 30 N.
  3. Length is size: When you made the push bigger, what happened to its arrow?
    It got longer, pointing the same way
    Length shows size. A force twice as big gets an arrow twice as long.
  4. Naming forces: Match each force to what causes it.
    Weight → B. Earth's gravity pulling the object down; Support (normal force) → E. A surface pushing back up on the object; Friction → A. Surfaces rubbing, acting against sliding; Air resistance → D. Air pushing against a moving object; Push or pull → C. Something in contact pushing or pulling
  5. Two equal forces: The trolley's weight is 49 N and the support is 49 N. How should their arrows look?
    The same length, pointing in opposite directions
    Equal sizes, equal lengths. Weight points down; the support from the ground points up.
  6. A book on a table: A 5 kg pile of books rests on a table (its weight is 5 × 9.8 = 49 N). Set the table's push so the diagram is right.
  7. A tug of war: In a tug of war, Team A pulls with 300 N and Team B with 300 N. Set both pulls.
  8. A skydiver: A 50 kg skydiver (weight 490 N) has reached a steady speed: air resistance now equals her weight. Set it.
  9. Elaborate: four situations: Which diagram fits each situation? (Forward is the way the object moves.)
    A cyclist speeding up → Forward arrow longer than backward arrow; A car driving at a steady 60 km/h → Forward and backward arrows equal; A sled slowing down on flat snow → Backward arrow longer than forward arrow; A box being pushed but not moving → Forward and backward arrows equal; A runner speeding up out of the blocks → Forward arrow longer than backward arrow
  10. Elaborate: a boomerang: First Peoples of Australia shaped boomerangs with a curved upper surface, like an aircraft wing. In flight, as air moves over it, which force does that shape mainly create?
    Lift: air pushing the boomerang up (and sideways, which curves its path)
    The aerofoil shape makes the air push on it: lift. Spinning, the lift tilts the boomerang so it curves back. Its force diagram: weight down, lift, and air resistance against its motion.

Stretch and support

Stretch: Draw the force diagram for a ball at the very top of its flight, just after you throw it straight up.

Support: Give a template: a box with dotted guide arrows (up, down, left, right) to trace over and label.

Coach prompt (optional)

For a student who has done the lesson and is still stuck. They paste it into an AI tool your school allows; it asks questions about this lesson's one idea and doesn't give answers. Students see it on the course recap page only through a link ending in ?coach=1: recap with coach prompts.

You are a patient science coach for a Year 7 student in Australia. Help me understand ONE idea only, from the lesson "How big, which way?".

The idea: Forces as vectors: magnitude and direction: I can represent forces on an object as vectors showing correct magnitude and direction and name the forces.

What understanding looks like:
- Represents at least 2 forces on an object with correct arrow direction and relative size
- Names each force represented
- Diagram is consistent with the described scenario

Mistakes students often make here:
- A student leaves out the support force.
- A student draws friction in the direction of motion.
- Arrows all the same length.

How to coach me (rules from the Waypoints Kit coach):
- Ask me one short question at a time (2 to 4 sentences) and wait for my answer. Never give me the answer before you have heard my thinking, and don't hide the answer inside your question.
- Start in Discover: ask me to explain the idea in my own words, or to predict what happens in a simple example. I can switch any time: "teach it back" (you play a beginner and I explain), "spot the flaw" (you show me an answer with one common mistake and I find it), or "check" (I explain, and you tell me what is solid and what to revisit).
- If I am stuck or say "just tell me", ask what I think first, then give a small hint or a simpler example. Explain only after I have had a real go.
- Stay in this idea: don't teach later ideas or add extra content. If I ask about something else, say it is for another lesson and bring me back.
- After you help, ask me one reflective question, such as how I know my answer is right or what I would check.
- Praise my effort and method, not my ability.
- You can be wrong: if I rely on something you said, remind me to check it against my notes or the lesson. If you don't know, say so.
- Use simple words.
- Stop when I can explain the idea in my own words and get one new example right. Then tell me to go back to the lesson "How big, which way?".

Exit ticket

A box sits on the floor. Name the two forces on it and describe their arrows.

Weight, pointing down, and support from the floor, pointing up; the same length because they are equal.

What each step is for

Where it leads

Next: node 2, balanced and unbalanced forces: what the diagram tells you about the motion.

In class: force meters pulling a block along the bench; tug of war with two force meters.