G8 C01 W5: Week 5 Content - Kairos Academy Skip to main content

Week 5: Week 5 Content

Grade 8 Science | Rosche | Kairos Academies

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**Choose Your Path:** Select one of the following investigation pathways based on your interests: - **Path A:** [topic-specific content] - **Path B:** [topic-specific content] - **Path C:** [topic-specific content]

**Specialist Track:** As you progress, you'll develop expertise in [topic-specific content]. Advanced learners: try the extension challenge at the bottom of this page.

**Career Connection:** [topic-specific content] scientists and engineers use these skills daily in careers like [topic-specific content]. High school [topic-specific content] builds on these concepts.

**You're in Control:** Design your own investigation to answer: [topic-specific content]. Use the scientific method, but YOU decide the procedure, materials, and data collection strategy.

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NGSS Standards Covered This Week

MS-PS3-2 (Primary)

What it means: Develop a model to describe that when the arrangement of objects interacting at a distance changes, different amounts of potential energy are stored in the system.

In student language: I can model how objects gain or lose stored energy based on their position (height, distance).

MS-PS3-5 (Primary)

What it means: Construct, use, and present arguments to support the claim that when the kinetic energy of an object changes, energy is transferred to or from the object.

In student language: I can argue with evidence that energy transfers happen when objects speed up or slow down.

3-Dimensional Learning

Dimension What You'll Practice
SEP-2 Developing & Using Models Model energy transformations in roller coasters
SEP-7 Engaging in Argument from Evidence Argue why energy is conserved using data
DCI PS3.A Definitions of Energy Learn kinetic and potential energy formulas
CCC-5 Energy and Matter Track energy transformations through systems

Success Criteria - How You'll Know You've Got It

Target 1: Calculate kinetic energy using KE = ยฝmvยฒ

Self-check: Can I calculate KE for objects with different masses and speeds?

Target 2: Calculate gravitational potential energy using PE = mgh

Self-check: Can I determine how height and mass affect potential energy?

Target 3: Explain energy transformations between PE and KE

Self-check: Can I describe how energy changes form in a pendulum or roller coaster?

Target 4: Apply energy conservation to design problems

Self-check: Can I design a roller coaster using energy conservation principles?

Why This Matters to YOU:

Roller coasters, skateboard parks, and even playground swings all work because of energy transformations! Understanding how kinetic energy (motion) and potential energy (height) trade back and forth helps engineers design safe, thrilling rides. This is also how regenerative braking in hybrid cars saves energy!

The Phenomenon: The Roller Coaster Mystery

Consider this observation:

  • A roller coaster is pulled up the FIRST big hill by a chain lift motor
  • After the first drop, there are NO MORE MOTORS - just track and gravity
  • The coaster climbs several more hills WITHOUT any engine power
  • Each hill is SHORTER than the previous one - why?

How does the coaster have energy to keep climbing hills? Where does the energy come from?

Focus Question: How do roller coasters work without engines on most of the track?

Learning Targets

By the end of this week, you will be able to:

Environmental Justice: Transportation equity and energy systems in St. Louis neighborhoods

Energy Justice & Transportation in St. Louis

Why does South St. Louis have limited public transit access compared to wealthier areas? Transportation infrastructure reflects historical inequitiesโ€”communities with less investment face higher energy costs (car ownership, gas) and longer commutes. Dr. Ayana Elizabeth Johnson, a marine biologist and climate justice leader, connects energy systems to social equity. MetroLink's energy efficiency (electric trains vs gas cars) shows kinetic energy conversion principles you're studying. Expanding public transit to underserved neighborhoods could save residents thousands annually while reducing carbon emissions. Energy systems engineers ($75k-$120k), urban planners ($55k-$90k), and transportation analysts ($60k-$95k) work to design equitable transit. Your understanding of energy efficiency helps you advocate for environmental justice.

Word count: 140 words

Vocabulary

Key Vocabulary (7 terms) โ€” Practice Tool

Cognate Strategy: Many science words look similar in English and Spanish โ€” use your Spanish to learn science!

Term Spanish Definition
kinetic energy energia cinetica Energy of motion (KE = ยฝmvยฒ)
potential energy energia potencial Stored energy due to position (PE = mgh)
conservation conservacion Total energy stays constant (not created/destroyed)
transformation transformacion Energy changing from one form to another
friction friccion Force that opposes motion, converts KE to heat
gravity โ€” gravedad
velocity โ€” velocidad

Worked Example

Calculation Tips:

  • Double the height โ†’ Double the PE
  • Triple the mass โ†’ Triple the PE
  • Use g = 10 m/sยฒ for easier math
  • Units: PE is measured in Joules (J)

Common Mistakes to Avoid:

  • Don't forget to multiply ALL three numbers (m ร— g ร— h)
  • Make sure height is in meters, not centimeters
  • Remember: Higher = more PE, not less!

Step-by-Step Problem Solving

Problem Scenario

Review the problem scenario and work through each step below.

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Practice These Vocabulary Terms

Emmy Noether: German mathematician who proved energy conservation arises from symmetries in nature

Scientist Spotlight: Emmy Noether - The Mathematician Behind Energy Conservation

Emmy Noether was a German mathematician and theoretical physicist who made groundbreaking contributions to understanding energy conservation. In 1918, she proved what's now known as Noether's Theorem, which established a fundamental relationship between symmetries in nature and conservation laws. This theorem shows that energy conservation itself arises from the symmetry of physical laws over timeโ€”if the laws of physics are the same today as they will be tomorrow, then energy must be conserved. This insight revolutionized physics and helps explain why energy cannot be created or destroyed, only transformed from one form to another.

Noether's work was so important that Albert Einstein himself called her "the most significant creative mathematical genius" of her time. Yet her contributions remained underappreciated for decades due to barriers she faced as a woman in academia. Her theorem is particularly relevant to understanding roller coasters: the fact that energy is conserved (except for friction losses) is a direct consequence of the fundamental symmetries Noether discovered.

Every time you ride a roller coaster or watch an object transform potential energy into kinetic energy, you're witnessing the consequences of Noether's mathematical insights about the fabric of reality. Her legacy reminds us that some of the deepest truths about energy come not from observing the world, but from understanding the underlying mathematical principles that govern how nature works. Today, Noether's Theorem remains central to all modern physicsโ€”from particle physics to cosmologyโ€”making her one of history's most influential scientists.

Why It Matters: Without Noether's mathematical proof, we wouldn't have the scientific foundation explaining why energy must be conserved in every roller coaster, car engine, and power plant on Earth.

St. Louis Connection: Roller Coasters & Energy in Motion

Six Flags St. Louis roller coasters demonstrate energy transformations: motors build PE climbing first hills, gravity converts PE to KE during drops. Second hills stay shorter due to friction losses. Beyond amusement parks, St. Louis transportation uses these principles dailyโ€”hybrid cars' regenerative braking captures KE from braking, converting it to stored electrical energy. MetroLink engineers calculate energy transformations for efficient routes and acceleration patterns, constantly transforming energy between potential and kinetic forms.

WORKED EXAMPLE: Roller Coaster Energy Analysis (Week 5 - Advanced Integration)

Week 5+: YOU integrate concepts across multiple weeks independently!

PROBLEM:

A 500 kg roller coaster starts at 40 m height with zero velocity. Track ALL energy transformations through the ride: gravitational PE (this week) โ†’ KE (this week) โ†’ thermal energy from friction (W1-4). The coaster reaches the bottom at 35 m/s instead of the theoretical maximum. Where did the "missing" energy go, and how does this connect to particle motion and temperature (from Weeks 1-4)?

YOUR TURN - Advanced Integration:

  1. Calculate the initial PE at 40 m height (PE = mgh, use g = 10 m/sยฒ)
  2. Calculate the actual KE at the bottom (KE = ยฝmvยฒ) and compare to initial PE
  3. Explain where the "missing" energy went using particle motion from Weeks 1-4: friction โ†’ faster particle vibration โ†’ increased temperature

AUTONOMY SUPPORT: Choose Your Energy Exploration (Week 5)

Research shows student choice increases engagement and deeper learning. Pick the approach that works best for YOU!

Option 1: PhET Simulation Deep Dive

Use the Energy Skate Park simulation to test extreme scenarios. What happens if friction is 0? What if it's very high? Create your own track designs and predict energy transformations before testing. Document patterns you discover.

Best for: Experimental learners who like testing hypotheses

Option 2: Engineering Design Challenge

Design a roller coaster OR marble run that achieves specific goals: complete a loop, reach a target speed, maximize airtime. Use PE and KE calculations to prove your design will work BEFORE building it.

Best for: Design-oriented students who like building and testing

Option 3: Real-World Energy Analysis

Analyze energy in everyday situations: playground swings, diving boards, skateboard ramps, elevators, or sports (basketball shots, ski jumps). Calculate actual PE and KE values using real measurements. Where does energy go when motion stops?

Best for: Students who like connecting physics to daily life

Note: All three approaches help you understand energy conservation - pick what excites YOU!

Hook - The Unpowered Climb Mystery

12 Points | ~10 Minutes

The Challenge

What You'll Do (~10 minutes)

  1. Analyze roller coaster motion without motors (3 min)
  2. Predict energy transformations (3 min)
  3. Explain why subsequent hills get shorter (2 min)
  4. Generate questions about energy (2 min)

Think About This:

  • Where does energy come from after the motor stops?
  • What happens to energy as the coaster goes downhill?
  • Why can't the second hill be taller than the first?

COMPLETE THE HOOK FORM BELOW

Submit your predictions about roller coaster energy before moving to Station 1.

[EMBED G8.C1.W5 Hook Form Here]

Form ID: ________________

Station 1 - Energy Transformation Lab

20 Points | ~15 Minutes

Your Mission: Conservation Laws (Atoms + Energy)

Part A: Conservation of Atoms (MS-PS1-1)

Big Idea: Just like energy is conserved (not created/destroyed), atoms are also conserved during chemical reactions!

Quick Review: What are atoms and molecules?
  • Atom: The smallest unit of an element (H, O, C, etc.)
  • Molecule: Two or more atoms bonded together (Hโ‚‚O, COโ‚‚, etc.)
  • Chemical Reaction: Atoms rearrange to form new molecules (but atoms don't appear or disappear!)

Simulation: PhET Balancing Chemical Equations

Instructions:

  1. Open the simulation and select "Make Water" (Hโ‚‚ + Oโ‚‚ โ†’ Hโ‚‚O)
  2. Try to balance the equation by adding molecules (not individual atoms!)
  3. Notice: You can only ADD molecules, not create atoms from nothing
  4. Goal: Same number of each type of atom on BOTH sides of the equation
  5. Answer the questions in the form about atom conservation

Part B: PhET Energy Skate Park Simulation

Use this simulation to investigate energy transformations:

  • Turn ON "Bar Graph" to see KE and PE bars
  • Start with friction OFF to see perfect energy conservation
  • Watch energy bars as the skater moves
  • Then turn friction ON to see realistic energy loss

Open PhET Simulation

Key Observation Questions:

  • When does the skater have MAX kinetic energy? (Bottom or top?)
  • When does the skater have MAX potential energy? (Bottom or top?)
  • What happens to total energy (KE + PE) without friction?
  • Where does energy go when you add friction?
Need extra support? Click here for hints and sentence starters

Key Concept Reminders:

  • Kinetic Energy (KE): Energy of motion = ยฝmvยฒ (fastest = most KE)
  • Potential Energy (PE): Energy of position = mgh (highest = most PE)
  • Conservation: Total energy stays constant if no friction

Sentence Starters:

  • "The skater has maximum KE at the _____ because..."
  • "As the skater goes down, PE transforms into..."
  • "With friction on, energy transforms to..."

Word Bank:

top, bottom, kinetic energy, potential energy, thermal energy, height, speed, gravity, friction, conserved

Stuck? Click here for step-by-step help

Try these steps in order:

  1. Open the PhET simulation and click "Bar Graph"
  2. Start the skater at the TOP of the half-pipe - watch which bar is tallest
  3. Let the skater go - watch the bars change as they move
  4. Pause when skater is at the BOTTOM - which bar is tallest now?
  5. Still stuck? Watch: Search "Energy Transformation"

COMPLETE THE STATION 1 FORM BELOW

Answer questions about the simulation observations.

[EMBED G8.C1.W5 Station 1 Form Here]

Form ID: ________________

Station 2 - Gravitational PE Investigation

20 Points | ~15 Minutes

Your Mission: Calculate Potential Energy

The Potential Energy Formula:

PE = mgh

  • m = mass (kg)
  • g = gravity (9.8 m/sยฒ on Earth, use 10 for easy calculations)
  • h = height above reference point (m)

Example Calculation:

A 5 kg ball is held 10 m above the ground. What is its PE?

PE = mgh
PE = (5 kg)(10 m/sยฒ)(10 m)
PE = 500 J

Need extra support? Click here for calculation help

COMPLETE THE STATION 2 FORM BELOW

Practice PE calculations and connect to thermal energy from earlier weeks.

[EMBED G8.C1.W5 Station 2 Form Here]

Form ID: ________________

Station 3 - Design an Energy Transfer System

25 Points | ~20 Minutes (Highest Value!)

Engineering Challenge: Design a Roller Coaster

Your Design Challenge:

Design a roller coaster with:

  • First hill: 30 meters tall (given)
  • At least 2 more hills after the first
  • One loop somewhere on the track
  • Ends at ground level

Design Constraints:

  • No motors after the first hill (energy from height only!)
  • Each feature must be LOWER than the previous high point
  • Account for ~10% energy loss to friction per hill
  • Coaster mass = 1000 kg

Example Thinking:

First hill = 30 m โ†’ Maximum possible PE at top

After 10% loss to friction โ†’ Only 90% energy left

Max height of 2nd hill = 30 m ร— 0.90 = 27 m

Each subsequent hill must account for more energy loss!

Need extra support? Click here for design hints

Design Strategy:

  • Start by calculating PE at 30 m: PE = mgh = 1000 ร— 10 ร— 30 = 300,000 J
  • After first drop with 10% loss: 300,000 ร— 0.9 = 270,000 J left
  • Use PE = mgh to find new maximum height with remaining energy
  • Repeat for each subsequent feature

Sentence Starters:

  • "The maximum height for the second hill is _____ because..."
  • "A taller hill is impossible after the first because..."
  • "My loop must be lower than _____ to ensure the coaster completes it..."

COMPLETE THE STATION 3 FORM BELOW

Submit your roller coaster design with calculations!

[EMBED G8.C1.W5 Station 3 Form Here]

Form ID: ________________

Exit Ticket - Energy Integration

23 Points | ~15 Minutes

Show What You Learned

Question Types:

  • 2 NEW - KE calculations, energy conservation
  • 2 SPIRAL - Review thermal energy (W1-4)
  • 1 INTEGRATION - Pendulum energy cycle
  • 1 SEP - Argue against perpetual motion

Connection to Earlier Weeks:

Spiral questions will connect mechanical energy (this week) back to thermal energy from Weeks 1-4!

COMPLETE THE EXIT TICKET BELOW

This is your final assessment for Week 5. Take your time!

[EMBED G8.C1.W5 Exit Ticket Form Here]

Form ID: ________________

Week 5 Complete!

Next Week: What happens when objects collide? Where does the energy go? (Energy Transfer in Collisions)

Enrichment & Extension
Optional deep dives for early finishers.

Optional content if you finish early or want to go deeper.

Scientist Spotlight

Research a scientist who contributed to this week's topic area and describe their key findings.

Environmental Justice Connection

Explore how this week's science concepts connect to environmental justice issues in our community.

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