Magic Hexagons and Commutative Properties

The video tutorial introduces the concept of magic hexagons, where numbers in boxes are obtained by multiplying adjacent circle numbers. It provides examples and exercises to solve these hexagons. The tutorial also covers the commutative properties of addition and multiplication, demonstrating that changing the order of numbers does not affect the sum or product. Students are encouraged to practice these concepts in their textbooks and notes.

What is the main topic introduced in the lesson?

• Algebraic Equations

• Magic Hexagons and Numbers

• Geometry and Shapes

• Fractions and Decimals

How do you find the number in a box in a magic hexagon?

• By multiplying the numbers in the circles

• By adding the numbers in the circles

• By dividing the numbers in the circles

• By subtracting the numbers in the circles

If a box in a magic hexagon has the number 70, and one circle has 7, what is the number in the other circle?

• 5

• 10

• 14

• 9

In a magic hexagon, if the number in the box is 108 and one circle has 9, what is the number in the other circle?

• 12

• 10

• 15

• 18

What is the commutative property of addition?

• Changing the order of numbers does not change the sum

• Changing the order of numbers changes the sum

• Changing the order of numbers changes the product

• Changing the order of numbers does not change the product

Which of the following demonstrates the commutative property of addition?

• 24 + 19 + 37 = 37 + 24 + 19

• 24 + 19 + 37 = 24 + 37 + 19

• 24 + 19 + 37 = 19 + 24 + 37

• All of the above

Fill in the blank: 14 + ___ + ___ = 34 + 14 + 20

• 14, 20

• 20, 14

• 34, 20

• 20, 34

What is the commutative property of multiplication?

• Changing the order of factors does not change the sum

• Changing the order of factors changes the sum

• Changing the order of factors does not change the product

• Changing the order of factors changes the product

Which equation demonstrates the commutative property of multiplication?

• 48 x 13 = 13 x 13

• 48 x 13 = 13 x 48

• 48 x 13 = 48 x 48

• 48 x 13 = 48 x 13

What should students do after the lesson?

• Discuss with peers

• Take a break

• Complete the exercises in the textbook and note copy

• Review the video