Tree Growth: Additive and Multiplicative Reasoning

The video tutorial introduces additive and multiplicative reasoning through a tree growth problem. It explains how to determine growth using both methods, highlighting the differences between absolute and relative change. The tutorial provides examples to illustrate each reasoning type and concludes by emphasizing the importance of understanding both methods in various contexts.

What is the main question posed in the tree growth problem?

• Which tree grew more?

• Which tree is older?

• Which tree has more leaves?

• Which tree is taller?

If a number increases from 4 to 8, which of the following is a possible mathematical process?

• Multiply by 3

• Add 4

• Divide by 2

• Subtract 4

What is the additive change when a value goes from 5 to 20?

• Add 5

• Add 20

• Add 15

• Add 10

How do you determine the absolute change using additive reasoning?

• Divide the new quantity by the old quantity

• Add the old quantity to the new quantity

• Subtract the old quantity from the new quantity

• Multiply the new quantity by the old quantity

What is the relative change when a value increases from 5 to 20 using multiplicative reasoning?

• Multiply by 2

• Multiply by 5

• Multiply by 4

• Multiply by 3

How is relative change determined using multiplicative reasoning?

• Subtract the old quantity from the new quantity

• Add the old quantity to the new quantity

• Divide the new quantity by the old quantity

• Multiply the new quantity by the old quantity

Using additive reasoning, how much did tree A grow from 2003 to 2006?

• Add 3 meters

• Add 5 meters

• Add 2 meters

• Add 4 meters

Using multiplicative reasoning, how many times did tree A grow from 2003 to 2006?

• 2.5 times

• 2 times

• 3 times

• 1.5 times

Which tree grew more according to multiplicative reasoning?

• Neither grew

• Both grew equally

• Tree B

• Tree A

Why is it important to understand both additive and multiplicative reasoning?

• To focus only on additive reasoning

• To avoid using any reasoning

• To apply them in various contexts

• To solve only tree growth problems