Students will examine landmark numbers at the start of the year using models, numbers, and words. They'll study the numbers together in class and then complete a home study journal sheet related to each number. Beginning the year with familiar numbers provides a good avenue for all students to review and engage in the Standards of Mathematical Practice (SMPs) as they learn and review math vocabulary, skills, concepts, and tools to set the stage for new learning to come.
Examine Three
Shade the math terms that define this number.

Write all the factor pairs for 3:
1 X 3

Draw all the arrays that show the value of 3.

Write 12 multiples of 2 below.
3

6

9

12

15

18

21

24

27

30

33

36

Complete the equations equivalent to 3 below.
1 X 3 = 3

3 X 1 = 3

31= 3

2 + 1 = 3

3/1 = 3

3 + 0 = 3

3 X 0 = 0

Complete the expressions below and draw a model to illustrate each expression.
½ X 6 = 3
model:
½ = 3 out of 6

¼ X 12 = 3
model:
¼ = 3 out of 12
 
⅓ X 9 = 3
model:
⅓ of 9 = 3

⅕ X 15 = 3
model:
⅕ of 15 = 3

Draw an illustration that shows one or more properties or facts about 3.
Triangles are polygons that always have 3 angles and 3 sides.

A number raised to the 3rd power is a number cubed.
Example: 23 = 2 X 2 X 2

Enrichment
Complete the boxes that define this number. If you’re not sure look it up. (see notes at bottom of page)
What is the additive inverse of three:  3

List ways that 2 “behaves” when you add, subtract, multiply, or divide.

Complete the triangular number pattern (pattern that makes a triangle):
0 1 dot, 3 dots, 6 dots, 10 dots, _________, ________, _______
0 0
0 0 0
0 0 0 0

What else do you know about the number three:

 A rational number is any number that can be written as a simple fraction. Example 2 is a rational number because it can be written as 4/2.
 An integer is a number, positive or negative, with no fractional parts. 4 is an integer, but 4.25 or 4 ¼ is not.
 A natural number is a whole number from 1 upwards. (Whole numbers are positive integers.)