## Monday, July 06, 2015

### Math Journal: 5

What do you know about the number 5?

As we embark on the exploration of the number 5, I will also introduce the grade-level standard for the use of a coordinate grid with relation to graphing and analyzing patterns.

Math Journal Home Study:  5
Name:
Date:
Learning Focus: Examine Number 5 - five
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.
 Xtra Math __ Level______________ Khan Academy __ Level__________________ Paper/Pencil Practice ___________________ __________________

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 5:
1 X 5

Draw all the arrays that show the value of 5:
Write 12 multiples of 5 below.
 5 10 15 20 25 30 35 40 45 50 55 60
Complete the equations below and draw a model to illustrate.
½ X 10 = 5     model:

¼ X 20 = 5     model:
⅓ X 15 = 5    model:

⅕ X 25 = 5     model:

Page 2
Write four equations that equal 5.
 (10 X 5)/5 = 5 1 + 2 + 2 = 5 12 - 7 = 5 (2 X 2) + 1 = 5

Write four expressions that are equivalent to 5.
 50/10 2.5 + 2.5 (25 - (4 X 5)) 3 X 5 + 10

 What do you notice about the coordinate grid above? The line does not extend far on the x axis, but it goes to the top of the existing y axis. It’s a steep diagonal.

Enrichment
Complete the boxes that define this number. If you’re not sure look it up.   (see notes at bottom of page)
integer: Why?
 All whole numbers are integers so 5 is an integer.
natural number: Why?
 All whole numbers greater than 0 are natural numbers so 5 is a natural number.

What is the additive inverse of 5 :  -5

List properties and facts about the number 5.
 5 is the third prime number when moving up the number line from 0. The primes 2 and 3 precede 5. 5 is the only prime number to end in the number 5. Multiples of 5 end in 5 or 0. 5 squared = 25 5 is one half of 10. a polygon with 5 sides and 5 angles is a pentagon. (+5) + (-5) = 5 The absolute value of 5 and - 5 = 5
• 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.)