Number Talk: 3

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. Even Odd   Whole Number Positive Integer Negative Integer Single Digit Number Composite Prime Square Number Perfect Number Rational Number Double Digit 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) integer  Why? Yes, 3 is an integer as it is one of the positive or negative number w/o fractional or decimal parts on number line. natural number  Why? Yes, because it is a whole number and positive integer greater than 0. What is the additive inverse of three: - 3

List ways that 2 “behaves” when you add, subtract, multiply, or divide. When you add three, you get three more. When you subtract three, you get three less. When you multiply by three, you get three times the number you multiplied. When you divide by three you get ⅓ of the number divided.

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 3-dimensional or 3D shape is a solid figure such as a cube, prism, pyramid. These figures have faces, edges, and vertices. The volume of a 3D right rectangular prism = length X width X height. Associative Property of Addition: When 3 or more numbers are added, the sum is the same no matter what order the numbers are grouped. Ex: 2 + 3 + 4 = 4 + 2 + 3 Associative Property of Multiplication: When three or more numbers are multiplied, the product is the same no matter how the numbers are grouped. Ex: 3 X (4 X 2) = (2 X 3) X 4 3 is the first, odd prime number. Only number to equal the sum of all the positive integers below it. tri is the prefix that means three three is the fewest number of sides that a polygon can have.

• 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.)