As we examine the number 4, students will also be introduced to the gradelevel standards related to numerical expressions. They will distinguish between expressions and equations during this study.
Math Journal Home Study: Number Four
Name:

Date:
 
Learning Focus: Examine Number 4

Time: 30 minutes total expected
 
Assignment: Complete the assignment on the front of this page, then spend ten minutes practicing skills with one of the following options. Check which options you used to practice. Enrichment is on the back of this page. That’s optional.

Shade the math terms that define this number.

Write all the factor pairs for 4:
1 X 4
2 X 2

Draw all the arrays that show the value of 4

Write 12 multiples of 4 below.
4

8

12

16

20

24

28

32

36

40

44

48

Write four equations that equal ____.
2 X 2 = 4

1 + 3 = 4

(4 + 4)  4 = 4

(4 X 3)/3 = 4

Write four expressions that are equivalent to ___.
3 + 1

(8  4) X 1

2/4 X 8

1 + 1 + 1 + 1

Complete the equations below and draw a model to illustrate.
½ X 8 = 4
model:

¼ X 16 = 4
model:
 
⅓ X 12 = 4 model:

⅕ X 20 = 4 model:

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 4: 4

List facts and properties about 4.
4 is the first even square number.

4 is the first composite number.

4 is equal to 2 squared.

4 is only number w/same # of letters as its value.

4 is the smallest squared prime (2 squared)

Multiples of 4’s last two digits are always a multiple of 4.

4sided polygons are quadrilaterals. A square has 4 even sides and angles.

IV is 4 in Roman Numerals

IIII is 4 in tally marks

quad is the prefix for 4 such as quart (4 cups), quadrangle (polygon w/four angles), quadruplets (4 babies born at once)

 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.)