Do Now: Activating Prior Knowledge
GTT: Activating Hard Thinking Retrieval PracticeWhy This Matters
Retrieving what you already know about forces strengthens your memory and prepares your brain for new learning. This is called retrieval practice - one of the most powerful learning strategies.
Imagine a busy scene:
A car driving on a road, a plane flying overhead, a person swimming, and a book resting on a table.
Think about ALL the forces acting on each object!
Task: List forces using the word bank
Word Bank
Sentence starter: "One force I can see is _______ which acts on the _______ because..."
Task: Identify and explain forces
List as many forces as you can. For each: name the force, state which object it acts on, describe the direction.
Task: Analyse force pairs and equilibrium
Example Forces:
- Car: Weight, reaction force, thrust, friction, air resistance
- Plane: Weight, lift, thrust, drag
- Swimmer: Weight, upthrust, forward force, drag
- Book: Weight, reaction force
Recall: What Do You Remember About Forces?
GTT: Structuring Spaced RetrievalThink (2 mins)
Silently write down 5 things you remember about forces.
Pair (2 mins)
Compare your list with a partner. Add any ideas they have.
Share (3 mins)
Be ready to share your best ideas with the class.
Complete these statements:
1. A force is a _______ or a _______
2. Forces are measured in _______ (N)
3. We use a _______ _______ to measure forces
4. When forces are _______, objects stay still or move at constant speed
Write 5 facts about forces
Create a concept map about forces
Key Concepts to Connect
Forces • Newton • Push • Pull • Balanced • Unbalanced • Acceleration • Speed • Direction • Contact • Non-contact
Vectors and Scalars
GTT: Understanding Content Dual CodingKey Definitions
Vector quantity: Has both SIZE (magnitude) and DIRECTION
Scalar quantity: Has only SIZE (magnitude)
Forces are vector quantities - we need to know how big AND which direction!
VECTOR: 50N to the right
SCALAR: 5kg (no direction)
Sort these quantities
Remember
Ask: "Does this quantity have a direction?" YES = Vector. NO = Scalar.
| Quantity | Vector or Scalar? |
|---|---|
| Speed (30 mph) | |
| Velocity (30 mph North) | |
| Force (50N upwards) | |
| Mass (10 kg) |
Explain and Apply
1. Explain why force is a vector quantity:
2. A car: forward force 5000N, friction 3000N. What is the resultant?
Resultant: N, Direction:
Analyse and Create
1. "My weight is 500N" - is this correct? Explain:
2. Why is direction important when designing bridges?
Name That Force!
GTT: Maximising Opportunity Concrete ExamplesContact vs Non-Contact Forces
Contact forces: Objects must touch (friction, tension, air resistance, reaction force)
Non-contact forces: Act at a distance (gravity, magnetic force, electrostatic force)
🚗 Moving Car - Select all forces that apply:
Force Reminder
- Weight: Always DOWNWARDS
- Reaction: PERPENDICULAR to surface
- Friction: OPPOSITE to motion
Identify and describe forces for each scenario:
🤸 Gymnast on Rings
🏊 Diver Swimming
Complete Force Analysis
Skydiver at constant speed:
Drawing Force Diagrams
GTT: Creating Supportive Environment ElaborationForce Diagram Rules
- Draw arrows FROM the object in direction force acts
- Arrow LENGTH shows force SIZE
- Label each arrow with force name
Step-by-Step Guide
- Identify the object
- Draw weight arrow DOWN
- If touching surface, draw reaction UP
- If moving, add friction opposite to motion
Draw diagrams for:
Rock Climber hanging from rope
Box on a 30° slope - analyse the forces:
Practical: Investigating Friction
GTT: Activating Hard Thinking Active LearningAim
To investigate which material has the greatest friction.
Equipment
- Newton meter
- Wooden block
- Different surface materials
Results Table
| Material | Test 1 (N) | Test 2 (N) | Test 3 (N) | Average |
|---|---|---|---|---|
| Sandpaper | ||||
| Cardboard | ||||
| Plastic |
Conclusion: "The material with greatest friction was _______ because it needed _______ N to move."
Lesson 1 Review
GTT: Consolidation MetacognitionCheck Your Progress
1. What is a force?
2. Which is a vector quantity?
3. Which is a non-contact force?
Explain why a book stays on a table:
Give one example of a contact force and one non-contact force:
Contact: Non-contact:
Describe how forces change for a skydiver from jump to landing:
Do Now: Forces Acting on You
GTT: Activating Hard Thinking Retrieval PracticeThink About This...
Right now, as you sit in your seat, multiple forces are acting on your body. Can you identify them all?
🧑🎓
How many forces are acting on YOU right now?
Think about: What's pulling you down? What's stopping you falling through your chair?
Use the word bank to identify forces acting on you:
Word Bank
List and explain each force:
Analyse the force situation:
Representing Forces
Teacher-Led GTT: Understanding Content Dual Coding📚 Teacher Explanation
We represent forces by drawing arrows. The arrow tells us two important things:
Big Force
Small Force
Arrow LENGTH = SIZE of force | Arrow DIRECTION = Direction force acts
🚀 Worked Example: Rocket
The thrust arrow is longer because thrust > weight (rocket accelerates upward)
Copy these key points into your book:
1. Forces are represented by arrows
2. The length of the arrow shows the size of the force
3. The direction of the arrow shows which way the force acts
Draw force diagrams for:
Compare these situations:
Calculating Resultant Forces
Teacher Modelling GTT: Structuring Worked Examples📚 Key Rules for Resultant Force
Same Direction?
→ + → = →→
ADD them together
Opposite Directions?
→ ← = ?
SUBTRACT smaller from larger
🎯 Worked Example 1: Same Direction
🎯 Worked Example 2: Opposite Directions
🔑 Balanced Forces (Resultant = 0)
If forces are equal and opposite, the resultant force is 0N.
This means the object is either: Stationary OR Moving at constant speed
We say the forces are BALANCED.
Your Turn - Follow the steps:
1. Hot Air Balloon: Weight = 6N down, Upthrust = 10N up
Step-by-step
a) Are forces same or opposite direction?
b) So we should (add/subtract)?
c) Calculation: ___N - ___N = N
d) Direction of resultant:
2. Fish Swimming: Forward force = 0.5N, Drag = 0.5N
Resultant = N
The fish will (accelerate/move at constant speed/stop):
Calculate the resultant force:
| Situation | Forces | Resultant | Effect |
|---|---|---|---|
| Book on table | Weight 10N down, Reaction 10N up | ||
| Apple falling | Weight 1N down, Air resistance 0.5N up | ||
| Car braking | Thrust 2000N, Friction 5000N opposite |
Multi-directional problems:
Helicopter: Thrust = 500N forward, Drag = 1000N backward, Lift = 12000N up, Weight = 15000N down
Newton's First Law
Teacher-Led GTT: Understanding Content Elaboration📚 Newton's First Law of Motion
"A moving object will continue to move at the same speed and direction unless an external force acts on it.
Likewise, a stationary object will remain at rest unless an external force acts on it."
What This Means:
| If forces are... | Then velocity... |
|---|---|
| BALANCED (resultant = 0) | Will NOT change (stays still or constant speed) |
| UNBALANCED (resultant ≠ 0) | WILL change (speeds up, slows down, or changes direction) |
Complete Newton's First Law using the word bank:
Word Bank
A object will continue to move at the same and direction unless an external acts on it.
Likewise, a stationary will remain at unless an force acts on it.
In your book, draw diagrams showing:
Balanced Forces: A coffee cup at rest on a table
Unbalanced Forces: A car accelerating from traffic lights
Apply Newton's First Law:
A passenger in a car lurches forward when the car brakes suddenly. Use Newton's First Law to explain why:
Why do objects in space keep moving forever (if no forces act)?
Practice Problems
GTT: Activating Hard Thinking Deliberate Practice⏱️ Timed Practice - 10 minutes
Calculate the resultant force for each situation. Show your working!
Calculate with support:
1. 🎈 Hot Air Balloon
Upthrust: 10N ↑ Weight: 6N ↓
Opposite directions, so SUBTRACT: 10 - 6 = ?
Resultant = N
2. 🐟 Fish
Forward: 4N → Drag: 0.5N ←
Resultant = N
3. 📚 Book
Weight: 30N ↓ Reaction: 30N ↑
Resultant = N (What happens to the book? )
Calculate the resultant:
1. Hot Air Balloon: Weight 6N, Upthrust 10N
Resultant = Direction:
2. Fish: Forward 4N, Drag 0.5N
Resultant = Direction:
3. Book: Weight 30N, Reaction 30N
Resultant = The book is:
4. Paper ball: Weight 24N, Air resistance 20N, Throw force 10N up
Resultant = Direction:
5. Apple: Weight 11N, Air resistance 10N up, Wind 4N right
Vertical resultant =
Horizontal resultant =
Extension problems:
🚗 Car on slope: Weight component down slope = 3N, Friction up slope = 1N, Engine force = ?
The car moves at constant speed up the slope. What is the engine force?
🔺 Triangle Problem: Forces of 3N right and 4N up act on an object.
Using Pythagoras, calculate the resultant force:
Resultant = N
Answers:
- 1. Balloon: 4N upwards
- 2. Fish: 3.5N forwards
- 3. Book: 0N (balanced - stationary)
- 4. Paper ball: 34N downwards (24 + 20 - 10)
- 5. Apple: 1N down, 4N right
- Extension Triangle: 5N (3² + 4² = 25, √25 = 5)
Progress Check
GTT: Consolidation AssessmentLearning Objectives Check
Q1: Match the force diagram to what happens:
| Diagram Description | What Happens? |
|---|---|
| Big arrow RIGHT, small arrow LEFT | |
| Big arrow LEFT, small arrow RIGHT | |
| Equal arrows opposite directions |
Q2: A book has forces of 11N right and 7N left.
a) Which way will it move?
b) What is the resultant force?
Q3: Helicopter Problem
A helicopter has: Lift = 18000N up, Weight = 15000N down, Thrust = 1200N forward, Drag = 1200N backward, Velocity = 100 m/s forward
a) What is the resultant force horizontally? N
b) What will happen to the speed horizontally?
c) What is the resultant force vertically? N ()
d) What will happen to the helicopter vertically?
Q4: Extended Analysis
The pilot adjusts controls: Forward force = 500N, Drag = 1000N, Lift = 12000N, Weight = 15000N
a) Resultant horizontally: N to the
b) Resultant vertically: N ()
Q5: Explain using Newton's First Law
Why does a spacecraft in deep space keep moving at constant velocity without using its engines?
Progress Check Answers:
- Q1: Accelerates forward | Slows down | Constant speed
- Q2: a) Right, b) 4N
- Q3: a) 0N, b) Constant speed, c) 3000N upwards, d) Accelerates upward
- Q4: a) 500N backwards, b) 3000N downwards, c) Slows down and descends
- Q5: No external forces act on it, so by Newton's First Law it continues at constant velocity
Self-Assessment
| Skill | Confidence (1-5) |
|---|---|
| Calculate resultant of forces in same direction | |
| Calculate resultant of forces in opposite directions | |
| Explain what balanced forces mean | |
| State Newton's First Law |
Do Now: Linking Force and Motion
GTT: Activating Hard Thinking Retrieval PracticeRecall from Last Lesson
We learned about resultant forces and Newton's First Law. Today we'll explore what happens when forces are UNBALANCED.
🚗 ➡️ 💨
What happens when you press the accelerator in a car?
Think about: What changes? What forces are involved?
Complete these recall questions:
1. When forces are balanced, an object will stay _______ or move at _______ speed.
2. When forces are unbalanced, the object will _______ (speed up or slow down).
3. The change in speed is called _______.
Link these concepts:
Predict and explain:
The Effect of Resultant Force
Teacher-Led GTT: Understanding Content Dual Coding📚 Key Concept: Force Causes Acceleration
When a resultant force acts on an object, it ACCELERATES
⬆️ Force
Bigger resultant force
= Greater acceleration
⬆️ Mass
Bigger mass (heavier object)
= Smaller acceleration
🔑 Remember:
- Acceleration = how quickly velocity changes
- Acceleration can mean speeding UP or slowing DOWN (deceleration)
- The direction of acceleration is the same as the resultant force
🎯 Real World Example: Pushing a Shopping Trolley
Empty trolley:
Small mass → Easy to accelerate → Speeds up quickly
Full trolley:
Large mass → Harder to accelerate → Speeds up slowly
Copy these key points into your book:
1. A resultant force causes an object to accelerate
2. Bigger force = greater acceleration
3. Bigger mass = smaller acceleration
4. Acceleration is measured in m/s² (metres per second squared)
Quick Check: Which accelerates more easily?
A bicycle or a truck (with the same push force)?
Why?
Apply your understanding:
Compare these situations:
| Situation | Acceleration (high/medium/low) | Reason |
|---|---|---|
| Sports car (small mass, big engine) | ||
| Lorry (big mass, big engine) | ||
| Bicycle (small mass, small force) |
Analyse and explain:
The Acceleration Formula
Teacher Modelling GTT: Structuring Worked Examples📚 The Formula
acceleration = change in velocity
time
a = (v - u) / t
a = acceleration (m/s²)
v = final velocity (m/s)
u = initial velocity (m/s) — sometimes called starting velocity
t = time taken (s)
🎯 Worked Example 1
🎯 Worked Example 2 (Deceleration)
Follow the steps to calculate acceleration:
Q1: A sprinter accelerates from 0 m/s to 12 m/s in 4 seconds.
Step-by-step scaffold:
Step 1 - What do you know?
u (starting velocity) = m/s
v (final velocity) = m/s
t (time) = s
Step 2 - Write the formula: a = (v - u) / t
Step 3 - Substitute numbers:
a = ( - ) /
Step 4 - Calculate:
a = m/s²
Q2: A train slows from 20 m/s to 0 m/s in 10 seconds.
u = m/s, v = m/s, t = s
a = ( - ) / = m/s²
Calculate acceleration (show working):
Q1: A car goes from 5 m/s to 25 m/s in 8 seconds.
Q2: A cyclist slows from 18 m/s to 6 m/s in 3 seconds.
Q3: A rocket accelerates from rest to 100 m/s in 20 seconds.
Extended calculations:
Q1: Rearranging - A car has acceleration 3 m/s². It starts at 10 m/s. How fast is it going after 6 seconds?
Q2: A plane needs to reach 80 m/s to take off. If it accelerates at 4 m/s² from rest, how long does this take?
Planning an Investigation: Force and Acceleration
IGCSE Skills GTT: Activating Hard Thinking Elaboration🎯 Investigation Question
How does the force applied to a trolley affect its acceleration?
📚 IGCSE Investigation Planning Framework
Every good investigation has these key components:
1️⃣
Variables
2️⃣
Equipment
3️⃣
Method
4️⃣
Fair Test
5️⃣
Safety
Complete this investigation plan using the scaffolds:
1️⃣ VARIABLES
What are variables?
Independent variable: What you CHANGE on purpose
Dependent variable: What you MEASURE (the result)
Control variables: What you keep the SAME to make it fair
Independent variable (what we change):
We will change the _______ applied to the trolley by adding more weights to the string.
Dependent variable (what we measure):
We will measure the _______ of the trolley using light gates or a stopwatch.
Control variables (what we keep the same):
Tick all that should be kept the same:
2️⃣ EQUIPMENT
Equipment list - tick what you need:
3️⃣ METHOD
Put these steps in the correct order (number 1-6):
| Record the time taken for the trolley to travel a set distance | |
| Set up the track with trolley, string, pulley and weights | |
| Calculate acceleration using a = (v-u)/t | |
| Release the trolley and start timing | |
| Repeat 3 times and calculate average | |
| Add more weights and repeat |
4️⃣ MAKING IT A FAIR TEST
Complete the sentence:
To make this a fair test, we only change the and keep everything else the .
5️⃣ SAFETY
Identify the hazards:
Complete the investigation plan:
1️⃣ VARIABLES
2️⃣ EQUIPMENT LIST
3️⃣ METHOD (write numbered steps)
4️⃣ HOW WILL YOU MAKE IT A FAIR TEST?
5️⃣ SAFETY PRECAUTIONS
Design your own investigation plan:
Write a complete IGCSE-standard investigation plan. Include all sections and explain your reasoning.
FULL INVESTIGATION PLAN
Data Analysis: Using Practice Data
GTT: Maximising Opportunity Deliberate Practice📊 Practice Data from the Investigation
Here are results from an experiment where force was changed and acceleration was measured.
📚 Experiment Results
| Force (N) | Initial velocity u (m/s) | Final velocity v (m/s) | Time t (s) | Acceleration a (m/s²) |
|---|---|---|---|---|
| 1.0 | 0 | 0.5 | 2.5 | ? |
| 2.0 | 0 | 1.0 | 2.5 | ? |
| 3.0 | 0 | 1.5 | 2.5 | ? |
| 4.0 | 0 | 2.0 | 2.5 | ? |
| 5.0 | 0 | 2.5 | 2.5 | ? |
Calculate the acceleration for each row:
Row 1: Force = 1.0 N
u = 0 m/s, v = 0.5 m/s, t = 2.5 s
a = (v - u) / t
a = (0.5 - 0) / 2.5
a = 0.5 / 2.5 = m/s²
Row 2: Force = 2.0 N
u = m/s, v = m/s, t = s
a = ( - ) /
a = m/s²
Row 3: Force = 3.0 N
a = m/s²
Conclusion starter: "As the force increased, the acceleration _______. This shows that force and acceleration are _______ related."
Complete the calculations and analysis:
Calculate acceleration for all 5 rows:
| Force (N) | Your calculation | Acceleration (m/s²) |
|---|---|---|
| 1.0 | ||
| 2.0 | ||
| 3.0 | ||
| 4.0 | ||
| 5.0 |
Full data analysis:
1. Calculate all accelerations and complete this table:
| Force (N) | Acceleration (m/s²) | Force ÷ Acceleration |
|---|---|---|
| 1.0 | ||
| 2.0 | ||
| 3.0 | ||
| 4.0 | ||
| 5.0 |
Calculated Accelerations:
- 1.0 N → a = 0.2 m/s²
- 2.0 N → a = 0.4 m/s²
- 3.0 N → a = 0.6 m/s²
- 4.0 N → a = 0.8 m/s²
- 5.0 N → a = 1.0 m/s²
Pattern: Force ÷ Acceleration = 5 kg (this is the mass of the trolley)
Relationship: Force and acceleration are directly proportional (F = ma)
Progress Check
GTT: Consolidation AssessmentLearning Objectives Check
Quick Quiz:
1. What does a resultant force cause an object to do?
2. In the formula a = (v - u) / t, what does 'u' represent?
3. A car goes from 0 to 20 m/s in 10 seconds. What is the acceleration?
4. In an investigation, the variable you change on purpose is called:
Short Answer Questions:
1. Explain why a heavier object needs more force to achieve the same acceleration as a lighter object:
2. Calculate: A runner accelerates from 2 m/s to 8 m/s in 3 seconds. Show your working:
3. Name the independent, dependent, and two control variables for investigating how force affects acceleration:
Extended Response:
1. (6 marks) A student investigated how force affects acceleration. Their results are shown:
| Force (N) | Acceleration (m/s²) |
|---|---|
| 2 | 1 |
| 4 | 2 |
| 6 | 2.5 |
| 8 | 4 |
2. A car accelerates from 15 m/s to 35 m/s in 8 seconds, then decelerates to 0 m/s in 5 seconds.
Answers:
- Foundation Q3: 2 m/s² (20-0)/10 = 2
- Core Q2: a = (8-2)/3 = 2 m/s²
- Challenge Q1: Anomaly is 6N → 2.5 m/s² (should be 3). Mass = F/a = 2/1 = 2 kg
- Challenge Q2: a) (35-15)/8 = 2.5 m/s², b) (0-35)/5 = -7 m/s², c) F = 1200 × 2.5 = 3000 N
Self-Assessment
| Skill | Confidence (1-5) |
|---|---|
| Describe the effect of resultant force on acceleration | |
| Use a = (v-u)/t to calculate acceleration | |
| Identify variables in an investigation | |
| Plan a fair test investigation |