Understanding Patterns and Models in Mathematics

Mr. Boozman introduces the concept of figure eight number patterns, focusing on identifying changes in patterns using arrays. The video explores rectangular numbers, demonstrating how to create and extend patterns using multiplication and addition. Students learn to analyze factor patterns and apply deductive reasoning to understand number increases. The session concludes with instructions for further exercises, including triangular number models.

What is the main focus of the lesson introduced by Mr. Boozman?

• Learning about historical mathematicians

• Understanding geometric shapes

• Solving complex algebraic equations

• Identifying figure eight number patterns

What does the first figure in the pattern represent?

• A single dot

• Three dots in two rows

• Two dots in one row

• Four dots in three rows

How does the pattern change from the first to the second figure?

• No change

• An extra column

• Two extra rows

• An extra row and an extra dot in each row

What multiplication problem does the third figure represent?

• 3 times 4

• 2 times 3

• 4 times 5

• 1 times 2

What tool does Mr. Boozman use to create the next figure in the pattern?

• A measuring tool

• A copying tool

• A calculator

• A drawing tool

What is the next multiplication problem after 5 times 6 in the pattern?

• 9 times 10

• 6 times 7

• 7 times 8

• 8 times 9

How many rectangular numbers are students asked to complete?

• Fifteen

• Twenty

• Five

• Ten

What is the sum of the first three addition patterns?

• Ten

• Sixteen

• Twelve

• Fourteen

What is the missing number if the sum is 20 and one addend is 12?

• 9

• 8

• 7

• 6

What type of model is introduced alongside the rectangular model?

• Pentagonal model

• Hexagonal model

• Triangular model

• Circular model