Math Semester 1 exams Jeopardy

Patterns

100

A consistent term that repeats; to the next and the next one

What is a recursive pattern?

200

Write it algebraically in a expression or formula format

What is an explicit pattern?

300

3, 7, 11, 15, __, ___

 

3, 7, 11, 15, 19, 23

Recursive: add 4 each time 

Explicit:4n - 1

400

 How many cubes are needed to make a 3 high “up and down” staircase? (Hint: Both recursive and explicit answers).

Explicit answer: n^2 or 3^2 = 9
Recursive method: Add the next odd number 3 times

500

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: 2^x 

2¹⁰ = 1024 ancestors 300 years ago

2³⁰ = 1,073,741,824 ancestors 900 years ago

Properties of Algebra and PEMDAS

100

Sharing property

Eg. 9(x-6) = 9(x) - 54

What is the distributive property?

200

Grouping property (multiplication and addition only)

E.g.

2+(3+6) = (2+3)+6

What is the associative property?

300

PEMDAS steps

1. Parenthesis/brackets

2. Exponents

3.Multiplication and Division (left to right)

4. Addition and Subtraction (left to right)

400

Switching property (only for multiplication and addition)

E.g.

3 + 2 =  2 + 3

 

What is the commutative property?

500

Changing both sides equally to solving an equation

What is the property of equality

Ratio, Rate, and Proportion

100

Ratio that compare two different ideas

Something per 1 of something

what is a rate?

200

A statement that two ratios are equal

What is a proportion?

300

Comparison of 2 numbers through division

What is a ratio?

400

9/m-7 = 6/m

What is m?

m = (-14)

500

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