Tumyaraa Math
Session #1
23/24
Workshop Expectations:
1. Everyone participates (be present in the moment)
2. There are no wrong answers - just learning opportunities.
3. ASK QUESTIONS - WHY (FYI - I don’t have all the answers)
4. Be Respectful
5. Have FUN!
Getting to Know You
Simple Easy!
Stand on the X and say:
Hi my name is ____________________.
My favorite color is _____________________.
And my favorite snack/candy is _________________.
Over All Objectives:
After these 5 days I want each student to:
➔ Develop a deeper understanding of basic math skills:
➔ Become Lifelong Learners:
➔ Have Fun with MATH!
Why Math?
Math underlies EVERYTHING in
life!
Math is a system of thinking, and
every problem in the world benefits
from thinking.
Ben Orlin
Math w/ Bad Drawings
Numbers
Natural Numbers - Whole Numbers - Integers - Rational
Numbers - Irrational Numbers - Real Numbers
Numbers, Numbers, Numbers
Can you label the “circles?”
Algebraic Properties
Commutative Property of Addition, Commutative Property of
Multiplication, Associative Property of Addition, Associative
Property of Multiplication, Distributive Property
Commutative Property -
Commutative Property of Addition:
3 + 2 = 2 + 3
Commutative Property of
Multiplication:
3 x 5 = 5 x 3
Associative Property -
Associative Property of
Addition:
(a+b)+c = a+(b+c)
Associative Property of
Multiplication:
(axb)xc = ax(bxc)
Distributive Property -
a(b+c) = ab + ac
+
=
a
(b+c)
a
b
a
c
Positive and
Negative Numbers
Chapters 4, 5, 6
Adding, Subtracting, Multiplying and Dividing
Real-world uses of positive and negative numbers:
Negative Positive
Below-zero temperatures Above-zero temperatures
Withdrawals from a bank account Credit to a bank account
Loss of revenue Gain in profits
Spending money Saving money
Number Line
Absolute Value
● If the two integers have the same sign:
a. Add their absolute values.
b. Give the answer the same sign as the two original integers.
● If the two integers have different signs:
a. Subtract the lesser absolute value from the greater absolute value.
b. Give the answer the same sign as the integer with the greater absolute value
c.
Positive and Negative Numbers (+, -, x, /)
+
-
ZERO PAIR
(+3) + (-3) = 0
(-4) + (+4) = 0
(-100) + (+100) = 0
Positive and Negative Numbers (+ , -, x , /)
You Teach!
● Partner A - Method #1
● Partner B - Method #2
Chapter 4 (p.24)
● Read, study, understand your method
○ Write 3 practice problems
● Close your book and teach your partner
○ Ask your “student” to complete the 3 practice problems using the method you taught them.
Positive and Negative Numbers (+ , -, x , /)
○ The temperature in Bethel was 10* in the
afternoon. By night time, the temperature
had decreased by 15*. What was
temperature at night?
○ Which method are YOU going
to use?
Order of Operation
Please, Excuse, My Dear, Aunt Sally
Order of Operations:
The Order of Operations are the rules that tells us the sequins=ce in which we should solve an expression
with multiple operations.
Please ( )
Excuse x
e
My Dear x /
Aunt Sally + -
8(2-3)
3
+ 2
4
= 8(-1)
3
+ 2
4
= 8 x (-1) + 16
= -8 + 16
= 8
Fractions
Equivalent Fractions, Ordering Fractions, Fractions - Percents
- Decimals and Everyday Life,
Equivalent Fractions
1/4= 2/8 = 3/12 = 5/20 = 6/24
Money, Money, Money
● 100 pennies equal or 1 dollar so a penny is 1/100 of a
dollar or $0.01
● 10 dimes equal 1 dollar so a dime is 10/100 of a dollar or
1/10 of a dollar or $0.10
● How many nickels in a dollar? So a nickel is ____ of a dollar
or ______ of a dollar or $______
Time as a Fraction
❖ Quarter past 4
❖ It took a quarter of an hour
❖ Half an hour
❖ Quarter to 5
Statistics
Mean, Median, Mode & Range
Definitions - That you can remember!
MEAN - Mean Math Teacher Makes Me Do Math!
MEDIAN - Middle of the Road
MODE - Ala mode is ICE CREAM! We always
want the MOST ice cream!
Displaying your Data
Bar graphs allow us to compare how
something changes over time or to compare
groups of data whereas pie graphs show the
relationship of parts to the whole.
Khan Academy
Start your learning where your at.
