Dinosaur maths quest: ratio

Quick answer

Ratio is about comparing how much of one thing there is compared to another thing. In a Dinosaur maths quest, you might compare how many footprints a big dinosaur left compared to a small dinosaur, or how much bigger a giant dinosaur's footprint is than a tiny one.

Learning outcome

By the end of this page, you will be able to compare amounts using ratios, like "for every 3 small footprints, there is 1 big footprint", and use this to solve puzzles and make discoveries in your Dinosaur maths quest.

Success signs:

• You can describe a ratio in words like "for every 2 small footprints, there is 1 big footprint"
• You can show a ratio using pictures or objects
• You can find ratios in real-life situations like dinosaur footprints or fossil discoveries
• You can use ratios to solve simple puzzles or make predictions

Why this matters

Ratios help us understand how things compare in nature and in our daily lives. In a Dinosaur maths quest, ratios help you understand how big dinosaurs were compared to small ones, how many fossils are found in different areas, or how much bigger a giant footprint is than a tiny one. Understanding ratios helps you make better guesses, solve puzzles, and discover more about the world around you. In real life, ratios are used when cooking, sharing things, planning gardens, and even in video games!

How it works

Ratios are a way to compare two amounts. We write ratios using a colon (:) between the numbers. For example, if you have 3 red dinosaurs and 2 blue dinosaurs, the ratio of red to blue is 3:2.

1. First, count how many of each thing you have
2. Then, write the numbers with a colon between them
3. Make sure the order makes sense - if you're comparing red to blue, write red first
4. You can also write ratios in words like "for every 3 red dinosaurs, there are 2 blue dinosaurs"

Examples you can see

Let's imagine you're on a Dinosaur maths quest and you find some footprints in the sand.

Example 1: You find 6 big dinosaur footprints and 3 small dinosaur footprints.

How do you write the ratio of big footprints to small footprints?

1. Count the big footprints: 6
2. Count the small footprints: 3
3. Write the ratio: 6:3
4. You can also say: "For every 6 big footprints, there are 3 small footprints"

Example 2: You find 8 dinosaur eggs and 4 dinosaur bones.

What is the ratio of eggs to bones?

1. Count the eggs: 8
2. Count the bones: 4
3. Write the ratio: 8:4
4. You can also say: "For every 8 eggs, there are 4 bones"

Example 3: You discover a timeline showing 15 footprints from a small dinosaur and 5 footprints from a big dinosaur.

What is the ratio of small footprints to big footprints?

1. Count the small footprints: 15
2. Count the big footprints: 5
3. Write the ratio: 15:5
4. You can also say: "For every 15 small footprints, there are 5 big footprints"

Try it as a mini adventure

Imagine you are a Dinosaur detective on a quest to find the biggest dinosaur footprint in the ancient land. You have discovered a cave with different footprints in the sand.

Adventure Task: You must find the ratio of big footprints to small footprints to help you understand which dinosaur was bigger.

1. First, you find 12 big footprints and 4 small footprints
2. Next, you count them and write the ratio: 12:4
3. Then, you notice that there are also 8 medium footprints
4. Now, you need to find the ratio of big footprints to medium footprints: 12:8
5. Finally, you discover that there are 20 total footprints in the cave
6. You need to work out what fraction of the footprints are big, small, and medium

Challenge: What is the ratio of small footprints to total footprints?

Answer: 4 small footprints out of 20 total = 4:20 = 1:5

Common mistakes

• Mistake: Writing the ratio backwards, like 4:12 instead of 12:4 for big to small footprints
• Why it happens: Not thinking carefully about what the ratio is comparing
• Fix: Always think "what am I comparing?" and make sure the first number is what you're comparing to the second

• Mistake: Thinking that 6:3 means "6 more than 3"
• Why it happens: Confusing ratio with subtraction
• Fix: Remember ratios show "how much of one thing compared to another", not how much more or less

• Mistake: Forgetting to simplify ratios like 12:4 to 3:1
• Why it happens: Not knowing how to divide both numbers by the same amount
• Fix: Find a number that divides both sides evenly, like 4 for 12 and 4

Parent and carer guide

Help your child understand ratios by using everyday examples:

1. Use objects like blocks or toys to show ratios - for example, 3 red blocks and 2 blue blocks make a 3:2 ratio
2. Ask questions like "How many red blocks are there compared to blue blocks?"
3. Use cooking - if a recipe needs 2 cups of flour for every 1 cup of sugar, that's a 2:1 ratio
4. Look for ratios in nature - like 5 leaves on one branch compared to 2 leaves on another
5. Encourage your child to write ratios in words too - not just numbers

Remember: Ratios don't have to be simplified at first - it's more important that your child understands what they're comparing.

Watch for:

• Confusion about which number comes first
• Thinking ratios mean "more than" instead of "compared to"
• Difficulty with the concept of comparing two different things

Support your child by asking them to explain their thinking - this helps them learn better!

Practice questions

1. There are 10 dinosaur eggs and 5 dinosaur bones. What is the ratio of eggs to bones?
2. You find 8 big footprints and 2 small footprints. What is the ratio of big to small footprints?
3. There are 12 fossil pieces and 6 dinosaur teeth. What is the ratio of fossil pieces to teeth?
4. There are 9 small footprints and 3 big footprints. What is the ratio of small to big footprints?
5. You see 15 dinosaur tracks and 5 dinosaur eggs. What is the ratio of tracks to eggs?

Answers:

1. 10:5
2. 8:2
3. 12:6
4. 9:3
5. 15:5

FAQ

What is a ratio?

A ratio is a way to compare two amounts. It tells you how much of one thing there is compared to another thing.

How do I write a ratio?

You write a ratio using numbers separated by a colon (:) like 3:2 or 5:1.

Can ratios be simplified?

Yes! If both numbers can be divided by the same number, you can simplify the ratio. For example, 6:2 simplifies to 3:1.

Where can I find ratios in real life?

Ratios are everywhere! In cooking (2 cups flour for every 1 cup sugar), in nature (5 leaves on one branch compared to 2 on another), and even in games (3 points for one action compared to 1 point for another).

Why do we need ratios?

Ratios help us understand how things compare. They help us solve puzzles, make predictions, and discover more about the world around us.