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Algebra 1

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Transcript

APOLLO 13 IN

SPACEEE

START

I'm in

You are the Mission Director, responsible for leading the Apollo 13 rescue after a massive oxygen tank explosion. Your mission is to guide the astronauts through dangerous challenges, manage critical calculations, and direct your team to ensure their safe return. The crew’s survival depends on your decisions. Bring them home.

BRING

THEM HOME

I'm Ready

Start Here

STAGE 1: CHECK DAMAGES

Oxygen Remaining

Jack Swigert

60,010

Litres Per Minute

Perform Calculations

Litres

Jim Lovell

Litres Per Minute

Heart Rate Monitor

O2 Consumption Per Minute

Fred Haise

Litres Per Minute

We just got the data on the astronauts' breathing rates. Can you work out how many hours we have left until the O2 runs out?

STAGE 1: ASSESSING THE EMERGENCY

Oxygen Remaining

Perform Calculations

Jack Swigert

Fred Haise

52,920

Litres Per Minute

Litres Per Minute

Litres

Jim Lovell

Litres Per Minute

STAGE 1: CALCULATING O2 Levels

Oxygen Remaining

Perform Calculations

Jack Swigert

Fred Haise

60,010

Litres Per Minute

Litres Per Minute

Jim Lovell

Litres

Litres Per Minute

STAGE 1: CALCULATING O2 Levels

We just have a few more calculations to go. Once you are done. Just Proceed to stage 2

Key your name and Press Go

8 minutes

Solving a more complicated equation

11 minutes

How to solve equations of the form ax = b

7 minutes

What are variables, expressions, and equations?

With limited oxygen, fuel and power, the spacecraft is in a dangerous situation. In order to avoid further damage, we need to calculate which repairs to carry out first. Go through this 3 training sessions so we can started.

Start Here

STAGE 1: ASSESSING THE EMERGENCY

Provide context to your topic with a subtitle

With limited oxygen, fuel and power, the spacecraft is in a dangerous situation. In order to avoid further damage, we need to calculate which repairs to carry out first. Go through this 3 training sessions so we can started.

I think I'm ready. Lets go

How to solve equations of the form ax = b

Solving a more complicated equation

What are variables, expressions, and equations?

STAGE 1: ASSESSING THE EMERGENCY

WEEK 2: POWER AND LIFE SUPPORT CRISIS

Mission Brief: With limited fuel and power, the spacecraft is drifting off course. To avoid missing the window for reentry, you need to adjust the flight path. As Mission Control, your job is to calculate and implement the emergency trajectory corrections to bring the astronauts home safely. The Focus:

  • Math: Solving systems of linear equations.
  • Science: Studying forces affecting the spacecraft's trajectory.
  • English: Writing mission-critical briefings.
The Task:
  • Math: Adjust the spacecraft’s trajectory by solving systems of equations.
  • Science: Analyze the physics behind orbital mechanics and forces acting on the spacecraft.
  • English: Write a critical briefing explaining the trajectory adjustments.
Example Task:
  • Math: Solve a system of equations involving fuel, time, and distance to calculate the correct trajectory path.
  • Science: Research the gravitational forces affecting the spacecraft and how to adjust the flight path.
  • English: Write a briefing to the astronauts, detailing the calculations and explaining the changes needed to safely correct the course.

WEEK 3: LIFE SUPPORT ADJUSTMENTS

Mission Brief: Oxygen levels are dangerously low, and the life support systems need urgent adjustments. Your task as Mission Control is to manage the oxygen flow while balancing power and resources to keep the crew alive for the remainder of the mission. The Focus:

  • Math: Simplifying expressions with rational exponents and radicals.
  • Science: Understanding the biology of oxygen consumption.
  • English: Writing technical reports on life support adjustments.
The Task:
  • Math: Calculate oxygen flow rates using rational exponents and radicals.
  • Science: Study how reduced oxygen levels affect the astronauts' physiology and recalibrate the life support system.
  • English: Write a technical report explaining the life support system adjustments.
Example Task:
  • Math: Simplify expressions to calculate how much oxygen needs to be distributed per minute.
  • Science: Study the effects of low oxygen on human biology and determine the necessary adjustments to the life support system.
  • English: Write a report for mission control outlining the adjustments, explaining the mathematical and scientific rationale.

WEEK 4: RESTORING COMMUNICATIONS

Mission Brief: The explosion has damaged the spacecraft’s communication systems. As Mission Control, your task is to diagnose the issue and recalibrate the systems to restore contact with Earth. Clear communication is vital to ensure a safe return. The Focus:

  • Math: Adding, subtracting, multiplying, and factoring polynomials.
  • Science: Understanding radio wave transmission in space.
  • English: Composing technical diagnostic reports.
The Task:
  • Math: Solve polynomial equations to adjust the spacecraft’s communication systems.
  • Science: Analyze signal transmission and troubleshoot the system to restore communication.
  • English: Write a diagnostic report explaining the technical solution.
Example Task:
  • Math: Solve polynomial equations to determine the right adjustments to the communication frequency.
  • Science: Study how radio waves are transmitted through space and how the damaged equipment affects transmission.
  • English: Write a diagnostic report for mission control, explaining how you restored communication and the steps taken.

WEEK 5: RESTORING COMMUNICATIONS

Mission Brief: The spacecraft is approaching Earth, and reentry must be carefully calculated to avoid burning up in the atmosphere or skipping off into space. Your task is to calculate the reentry angle and make sure the spacecraft can safely enter Earth's atmosphere. The Focus:

  • Math: Solving quadratic equations by factoring and completing the square.
  • Science: Understanding the physics of atmospheric reentry.
  • English: Writing safety reports for reentry.
The Task:
  • Math: Calculate the spacecraft’s reentry angle using quadratic equations.
  • Science: Analyze the forces acting on the spacecraft during reentry and adjust the angle accordingly.
  • English: Write a safety report detailing the reentry plan and the science behind the calculations.
Example Task:
  • Math: Solve quadratic equations to find the correct reentry angle that prevents overheating or skipping.
  • Science: Study the effect of atmospheric drag on the spacecraft and the physics of reentry forces.
  • English: Write a safety report for the astronauts explaining the importance of the calculated reentry angle

WEEK 5: DESCENT PATH FINE-TUNING

Mission Brief: As the spacecraft nears Earth, small adjustments must be made to the descent path to ensure a safe landing. Your job as Mission Control is to fine-tune the descent calculations to account for atmospheric changes and drag. The Focus:

  • Math: Solving quadratic equations using the quadratic formula.
  • Science: Understanding atmospheric drag and its effect on descent.
  • English: Creating a landing plan.
The Task:
  • Math: Fine-tune the descent path using quadratic equations.
  • Science: Study the effect of atmospheric drag on the spacecraft's speed and trajectory.
  • English: Write a mission plan outlining the final descent and landing procedures.
Example Task:
  • Math: Use the quadratic formula to calculate descent speed and trajectory adjustments.
  • Science: Study how atmospheric drag affects descent and adjust the calculations.
  • English: Write a detailed landing plan explaining the final descent procedure and how the calculations ensure a safe landing.

Mission Brief: As the spacecraft nears Earth, small adjustments must be made to the descent path to ensure a safe landing. Your job as Mission Control is to fine-tune the descent calculations to account for atmospheric changes and drag. The Focus:

  • Math: Solving quadratic equations using the quadratic formula.
  • Science: Understanding atmospheric drag and its effect on descent.
  • English: Creating a landing plan.
The Task:
  • Math: Fine-tune the descent path using quadratic equations.
  • Science: Study the effect of atmospheric drag on the spacecraft's speed and trajectory.
  • English: Write a mission plan outlining the final descent and landing procedures.
Example Task:
  • Math: Use the quadratic formula to calculate descent speed and trajectory adjustments.
  • Science: Study how atmospheric drag affects descent and adjust the calculations.
  • English: Write a detailed landing plan explaining the final descent procedure and how the calculations ensure a safe landing.

WEEK 6: DESCENT PATH FINE-TUNING

Mission Brief: Atmospheric drag is slowing down the spacecraft more than expected. You must adjust the trajectory calculations to account for this increased drag and ensure the spacecraft stays on course. The Focus:

  • Math: Solving systems of equations involving one linear and one quadratic equation.
  • Science: Understanding how drag changes during descent.
  • English: Writing a final operations report.
The Task:
  • Math: Solve a system of linear and quadratic equations to adjust for the effects of drag.
  • Science: Study how atmospheric drag affects spacecraft speed and descent path.
  • English: Write a final operations report explaining the changes made to account for drag.
Example Task:
  • Math: Solve a system involving a linear and quadratic equation to recalculate the spacecraft's trajectory.
  • Science: Research how drag changes at different altitudes and use the findings to refine the calculations.
  • English: Write a final report for mission control explaining the drag adjustments and how they impact the descent.

WEEK 7: ACCOUNTING FOR ATMOSPHERIC DRAG

Mission Brief: The spacecraft is about to reenter Earth's atmosphere, and the final landing calculations must be made. You need to ensure that the spacecraft lands in the recovery zone by modeling the splashdown location and making final adjustments. The Focus:

  • Math: Modeling and interpreting solution sets of inequalities using graphs.
  • Science: Understanding atmospheric conditions at various altitudes.
  • English: Writing the final mission summary.
The Task:
  • Math: Calculate the final splashdown zone using inequalities to model safe landing areas.
  • Science: Study how atmospheric conditions affect the final descent and adjust accordingly.
  • English: Write the final mission summary reflecting on the entire mission and the key decisions made.
Example Task:
  • Math: Use inequalities to graph the spacecraft’s safe landing zone and ensure it lands within the recovery area.
  • Science: Study atmospheric conditions at different altitudes and adjust calculations for a safe splashdown.
  • English: Write a mission summary highlighting the critical moments and calculations that ensured the spacecraft's safe return to Earth.

WEEK 8: FINAL LANDING CALCULATIONS

NASA Headquarter

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Assess Damage

Power, Oxygen levels

There has been damage to the spacecraft. You need to start doing the calculations for which sections of the aircraft will need repairing first.We will need to quickly figure out what is our current power and oxygen levels. In order to do that you will need to solve some algebraic equations. Can you do that?