Katherine Johnson and space maths
Show how careful calculation helped space missions.
Quick answer
Katherine Johnson was a brilliant mathematician who helped send astronauts to space by carefully calculating the paths and timings needed for spacecraft to travel safely. Her work used maths like addition, subtraction, multiplication, division, and fractions to solve real problems in space travel.Learning outcome
By the end of this page, you will understand how maths was used to send astronauts to space, and how careful calculations helped make space missions successful. Success signs:- You can explain how Katherine Johnson used maths to help space missions
- You can do simple calculations for space travel like adding up fuel or working out distances
- You can imagine how maths helps astronauts travel to space
- You can show how space maths is like the maths you do at school
Why this matters
Maths helps us understand the world around us, and it's especially important when we're trying to travel to space. Space missions need very accurate maths to make sure astronauts arrive safely where they're going. Katherine Johnson's work showed how important it is to do maths carefully and double-check your answers. Even small mistakes can make a big difference in space travel. This kind of maths helps you understand how to plan journeys, measure distances, and make sure everything works properly.How it works
Katherine Johnson's job was to do calculations that helped spacecraft travel through space. She used maths to:- Work out where the spacecraft should go
- Check the timing of important events
- Make sure the spacecraft had enough fuel
- Plan how to get back to Earth
- Addition and subtraction to count fuel
- Multiplication to find how much fuel was needed
- Division to share fuel or time
- Fractions to measure parts of journeys
Examples you can see
Let's imagine Katherine is working on a space mission. She needs to calculate how much fuel the spacecraft needs for its journey. Example 1: Fuel calculations The spacecraft needs 1000 gallons of fuel to get to the moon. It uses 250 gallons for the first part of the journey. How much fuel is left?- Start with 1000 gallons
- Subtract 250 gallons
- 1000 - 250 = 750 gallons left
- Multiply 20,000 by 3
- 20,000 × 3 = 60,000 miles
- Divide 500 by 5
- 500 ÷ 5 = 100 gallons each
Try it as a mini adventure
Let's go on a space mission adventure! Adventure: The Space Mission Planner You are Katherine Johnson and you are planning a mission to the moon. Step 1: You have 2000 gallons of fuel. The spacecraft needs 800 gallons for the first part of the journey. How much fuel is left?- 2000 - 800 = ?
- 15,000 × 4 = ?
- 600 ÷ 6 = ?
- 240,000 - 180,000 = ?
- 3 × 2 = ?
Common mistakes
- Mistake: Thinking that 1000 - 250 = 1250
Why it happens: Adding instead of subtracting
Fix: Count backwards or use a number line - Mistake: Multiplying 20,000 × 3 and getting 6000
Why it happens: Forgetting to add the zeros
Fix: Write out the numbers carefully or use a calculator - Mistake: Dividing 500 ÷ 5 and getting 10
Why it happens: Mixing up multiplication and division
Fix: Think "how many times does 5 go into 500?"
Parent and carer guide
Parents and carers can help by:- Reading the story about Katherine Johnson together and asking questions
- Using everyday situations to practice space maths: "If we have 12 cookies and 4 people, how many cookies does each person get?"
- Playing space-themed maths games like "Space Mission Calculator"
- Looking at space photos or videos together and discussing distances
- Encouraging children to draw their own space missions and calculate fuel or distances
- Reinforcing that mistakes are part of learning and that checking work is important
- Ask them to explain how they solved a problem
- Encourage them to check their answers by working backwards
- Use real-life examples like cooking or shopping to show how space maths is used
- Be patient if they make mistakes - this is how they learn
Practice questions
- There are 1500 gallons of fuel. The spacecraft uses 300 gallons. How much fuel is left?
Answer: 1200 gallons - The spacecraft travels at 25,000 miles per hour. How far does it go in 2 hours?
Answer: 50,000 miles - There are 800 gallons of fuel and 8 crew members. How much fuel does each person get?
Answer: 100 gallons - It takes 100 hours to reach the moon. The spacecraft travels 1000 miles per hour. How far is the moon?
Answer: 100,000 miles - There are 2000 miles to travel. The spacecraft has gone 1200 miles. How many miles are left?
Answer: 800 miles
FAQ
Who was Katherine Johnson?
Katherine Johnson was a brilliant mathematician who worked at NASA. She calculated the paths for spacecraft to travel to space and back safely. She was one of the first African American women to work at NASA and helped send astronauts to the moon.
How did Katherine use maths in space?
Katherine used maths to work out where spacecraft should go, how much fuel they needed, and when to make important changes in their journey. She used addition, subtraction, multiplication, and division to solve space problems.
Why is space maths important?
Space maths is important because spacecraft need to travel very precise distances and times. Even small mistakes in maths can cause big problems in space. Careful calculations help astronauts travel safely to space and back.
What kinds of maths did Katherine use?
Katherine used basic maths like addition, subtraction, multiplication, and division. She also used fractions and worked with very large numbers. She had to be very careful and double-check her work.
How can I learn more about Katherine Johnson?
You can read books about Katherine Johnson, watch videos about her life, or visit museums that have information about her. Many schools also have special lessons about her story.