1. 1
Day 4: Finish Section 1.4 & Section 1.5
LAUNCH: Use the multiplication table. Explain why each fact is true.
1. 4(‐3) = ‐12
2. ‐4(‐3) = 12

2. 2
A little more work with multiplication tables: Where are...
1. the zeros?
2. the positives?
3. the negatives?

3. 3
Does 17, 24, 19, or 72 appear most frequently as an entry in the entire
multiplication table? Explain.
Take it Further with Your Partner: Use the multiplication table. (5 min.)
*Which numbers between 0 and 150 appear the most frequently as
entries in the multiplication table?
*What numbers between 0 and 150 appear the least frequently as
entries in the multiplication table?

4. 4
Evaluate the expressions below and try to identify a pattern.
a. (‐1)2
b. (‐1)3
c. (‐1)4
d. (‐1)5
e. (‐1)347

5. 5
Section 1.5: The Basic Rules of Arithmetic
Important fact: represents the set of integers
{ } together with
the operations of ______________ & _____________________

6. 6
So...what are the rules when we use ?
Addition:
1.
2.
Multiplication:
1.
2.

7. 7
Developing Habits of Mind:
What are some ways you could find the sum of the numbers in the array?
5 5 5 5
5 5 5 5
5 5 5 5
Methods:
1.
2.
3.

8. 8
Three More Rules about
1. _______________________ : When you add _____ to any number,
you get the number itself.
2. _______________________ : When you multiply ______ to any
number, you get the number itself.
3. _______________________ : When this is added to its opposite, the
result is ______.

9. 9
Think About It:
What is the overall change to a number after you add
17, ‐5, 0, 5, 12, and ‐17 to it?

10. 10
With your partners work on the following for 5 minutes:
Are each of the following example equivalent?
Show the numerical value of each to support your answer.
a. 5(3 + 7) and 5(3) + 5(7)
b. (‐5)(3 + 7) and (‐5)(3) + (‐5)(7)
c. (‐5)((‐3) + (‐7)) and (‐5)(‐3) + (‐5)(‐7)
d. a(b + c) and (a)(b) + (a)(c)
e. (‐2)(x + 5) and (‐2)(x) + (‐2)(5)
What's the property called?
Find a way to use the property to easily find the product of 27 and 102
without calculators or paper! Explain what you did in your notebook.

11. 11
How could we use an array to show the distributive property?
1. Show that 4(50 + 3) = 4(50) + 4(3)
50 50 50 50
3 3 3 3
2. What array would you use to show 6(40 + 7) = 6(40) + 6(7)
3. Could you use an array to show 3(109)?

12. 12