Patterns
A consistent term that repeats; to the next and the next one
What is a recursive pattern?
Sharing property
Eg. 9(x-6) = 9(x) - 54
What is the distributive property?
Ratio that compare two different ideas
Something per 1 of something
what is a rate?
Write it algebraically in a expression or formula format
What is an explicit pattern?
Grouping property (multiplication and addition only)
E.g.
2+(3+6) = (2+3)+6
What is the associative property?
A statement that two ratios are equal
What is a proportion?
3, 7, 11, 15, __, ___
3, 7, 11, 15, 19, 23
Recursive: add 4 each time
Explicit:4n - 1
PEMDAS steps
1. Parenthesis/brackets
2. Exponents
3.Multiplication and Division (left to right)
4. Addition and Subtraction (left to right)
Comparison of 2 numbers through division
What is a ratio?
How many cubes are needed to make a 3 high “up and down” staircase? (Hint: Both recursive and explicit answers).
Switching property (only for multiplication and addition)
E.g.
3 + 2 = 2 + 3
What is the commutative property?
9/m-7 = 6/m
What is m?
m = (-14)
One generations ago (about 30 years) you had two ancestors.You had four ancestors two generations ago. 90 years ago you had 8 ancestors. How many did you have 300 and 900 years ago?
Explicit: 2x
210 = 1024 ancestors 300 years ago
230 = 1,073,741,824 ancestors 900 years ago
Changing both sides equally to solving an equation
What is the property of equality
I want to run a marathon (42 km) in 4 hours. What must I run as an average pace, in minutes per km, to make this happen?
I would need to go 5.71 m/km
or about 5 minute and 43 seconds per km