6th Grade Semester Review Part 1 2025

A= Area

B= Base

H= Height

A closer look at the Area of a Parallelogram

​We can rearrange the parallelogram so that it makes a rectangle!

​

This means that we can use the same FORMULA!!​ 😀

​​Let's Watch a small demo

Multiple Choice

What is the formula to find the area of a parallelogram?

• $$A=\frac{bh}{2}$$  

• $$A=bh$$  

• $$A=s^2$$  

• $$A=\frac{1}{2}\left(b_1+b_2\right)h$$  

Poll

Determine the base and height of the parallelogram.

• B = 11 cm

  H = 5 cm

• B = 7

  H = 7

• B = 9

  H = 9

• B = 9

  H = 7

Math Response

What is the area of the shaded region?

_____________meters squared

Hint: FIND the areas of BOTH Rectangles and subtract the area of the smaller rectangle.

_______

Type answer here

Correct Answer: 14

Deg^°

Rad

Remember to use the formula and that 1/2 is the same as 0.5

Multiple Choice

What is the area of a triangle that has a height of 12 cm and a base of 6 cm?

• 18 cm²

• 6 cm²

• 72 cm²

• 36 cm²

Key Vocabulary

Statistics: the science of collecting,
organizing, analyzing, and
interpreting data

A statistical question: A question
that has many different answers
the answers can vary

Multiple Choice

Is the following question statistical or non-statistical? 
How many ceiling tiles are in our classroom?

• Statistical
• Non-Statistical

A statisitcal chart consisting of data points on a relatively simple scale​

Dot Plot

Multiple Choice

How many students have a shoe size bigger than 8?

• 2

• 3

• 4

• 9

Multiple Choice

How many children participated in the survey?

• 25

• 30

• 20

​The MEAN of the data

​How to caluclate mean.

​

​1) add all the values in the data set.

​

​2) Divide the sum by the # of values in the data set.

Multiple Choice

1. Find the average (mean) of these numbers.
10, 3, 2, 5

• 5
• 4
• 10
• 3

​The MEDIAN of the data

​How to caluclate median.

​

​1) orgainze data in ascending or descending order.

​2) The median is the value that falls in the middle.

​

​

***** when two numbers fall in the middle, add them and divide by 2

Multiple Choice

Find the median:
3, 5, 7, 4, 3, 1

• 3 and 4
• There isn't one
• 3.5
• 3

The Mode of this

data set is 80

​80, 80, 83, 85, 87

Order least to greatest, then find the one that occurs the most.

MODE = 4​

​1, 2, 2, 3, 4, 4, 4, 5, 6

Find the Mode ; the most

Some text here about the topic of discussion

Fill in the Blanks

Multiple Choice

Find the range.
12, 5, 9, 18, 22, 25, 5

• 20
• 15
• 22
• 18

Match

Match the following terms with its correct definition.

• Mean or Average

• Median

• Mode

• Range

• What if there are 2 numbers in the middle?

The sum of all values divided by the total number of values

The middle value in a list of numbers when arranged in ascending order

The number that appears most frequently in a set of numbers

The difference between the highest and lowest values in a set of numbers

Add together, and divide by 2.

• The sum of all values divided by the total number of values
• The middle value in a list of numbers when arranged in ascending order
• The number that appears most frequently in a set of numbers
• The difference between the highest and lowest values in a set of numbers
• Add together, and divide by 2.

​Place & Value

You are finding where the digit is and answering HOW MUCH it is WORTH.

Value​

You are finding where the digit is and answering WHERE it is based on its location.

Place Value Place

​What is place value?

​The place a digit appears in a number determines it's value.

​

​A digit's place value tells how much the digit is worth within the entire number.

Match

Match the following

• $$\frac{1}{10}$$  

• $$\frac{1}{100}$$  

• $$\frac{1}{1000}$$  

0.1

0.01

0.001

• 0.1

• 0.01

• 0.001

Exponents

What are the parts of a power?

Multiple Choice

Which number is the BASE?
2³ = 8

• 2

• 3

• 8

Use your calculator to simplify each expression.

Be careful, look out for parentheses and negative signs!

Multiple Choice

$$4^{3\ }$$  

Write in expanded form:

• 4x4x4

• 4+4+4

• 3x3x3x3

• 3+3+3+3

Multiple Choice

$$2^4$$  

Write in expanded form:

• 4x4

• 4+4

• 2x2x2x2

• 2+2+2+2

order of operations

​also known as GEMDAS

Grouping Symbols – () , {},[]

Exponents -  2^3 5^1

Multiplication / Division from Left to Right

Addition / Subtraction from Left to Right

GEMDAS are the rules we use to simplify or evaluate complicated numerical expressions.

GEMDAS

• G - grouping

• E - exponents

• M - multiplication

• D - Division

• A - Addition

• S -Subtraction

Multiple Choice

Which operation is performed FIRST?

(13 - 1) + 4

• addition outside of grouping symbols

• subtraction inside of grouping symbols

• multiplication by grouping symbols

Multiple Choice

(24 - 16) ÷ 8 =

• 8

• 1

• 2

• 7

Exponents

Multiple Choice

3⁴ Which number is the base?

• 3

• 4

Multiple Choice

Write with an exponent: $$3\cdot3\cdot3\cdot3\cdot3$$  

• $$3^5$$  

• $$5^3$$  

Multiple Choice

Which is equivalent to 5 x 5 x 5 x 5

• 5³

• 5⁴

• 4⁵

• 5⁵

Math Response

Evaluate

2⁴=?

Type answer here

Correct Answer: 16

Deg^°

Rad

Multiple Choice

The M and D in PEMDAS stand for Multiplication and Division.

Which operation do you do first?

• Multiplication

• Division

• Whichever comes first in the expression as you read it from left to right

Multiple Choice

The A and S in PEMDAS stand for Addition and Subtraction.

Which operation do you do first?

• Addition

• Subtraction

• Whichever comes first in the expression as you read it from left to right

Multiple Choice

What is the first step in the problem shown? 

• Multiplication

• Addition

Multiple Choice

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

• Subtraction

• Division

• Multiplication

• Addition

Multiple Choice

Solve This Expression - 
( 7 x 3 ) + 9

• 29

• 30

• 31

• 32

Multiple Choice

4 x 6 -2 =

• 20

• 24

• 22

• 18

Multiple Choice

Who is correct?

Sallie

$$16\div2\times8=64$$  

Brian

$$16\div2\times8=1$$  

• Sallie

• Brian

• I'm not sure

• Both

Multiple Choice

What do we do first in this problem?

3 + (4)(5) - 6 ÷ 2

• 3 + (4)

• (4)(5)

• (5) - 6

• 6 ÷ 2

Multiple Choice

Solve

3 + (4)(5) - 6 ÷ 2

• 18

• 19

• 20

• 21

Multiple Select

Choose the number that is divisible by 2

• 134

• 2351

• 1256

• 4568

• 234

Multiple Choice

Is 5,678,987 divisible by 2?

• YES! Because I looked at the last digit and it i EVEN!

• NO! Because I looked at the last digit and it is ODD!

Multiple Select

Choose the number that is divisible by 2

• 1023

• 2348

• 3002

• 59980

• 2347

Multiple Select

Choose the number that is divisible by 3

• 954

• 295

• 859

• 219

• 1824

Multiple Select

Choose the numbers that is divisible by 3

• 124

• 234

• 562

• 2466

• 2436

Multiple Select

Choose the number that is divisible by 5

• 2345

• 1230

• 12346

• 12567

• 22345

Multiple Select

Choose the number that is divisible by 5

• 23456

• 656780

• 456784

• 345675

• 765889

WHAT IS A FACTOR ?

• a number that divides into another number exactly, without leaving a remainder

• A factor is a number when multiplied with another number produces a given number

What is a Factor?

• Factors are a set of all pairs of numbers that when multiplied together make a larger number.

• Example: Factors of 24

• 1 x 24

• 2 x 12

• 3 x 8

• 4 x 6

Match

Match the following factor pairs to the whole number.

• 19

• 35

• 72

• 50

• 44

1 x 19

7 x 5

36 x 2

10 x 5

4 x 11

• 1 x 19

• 7 x 5

• 36 x 2

• 10 x 5

• 4 x 11

Factor Rainbow

Start with the number x 1

Keep going until you start repeating

Take a look at the factors of 72

1x72

2x36

3x24

4x18

6x12

8x9

Factors of 8

Multiple Select

Which of the following numbers are factors of 8? Select ALL that apply!

• 1

• 2

• 3

• 4

• 8

Multiple Select

Which of the following numbers are factors of 16? Select ALL that apply! (When you are done, see if you can find more factors!)

• 2

• 3

• 4

• 5

• 8

Multiple Select

Select All that Apply

What are multiples of: 9

• 18

• 72

• 63

• 43

Multiple Choice

What are the FIRST 5 multiples of: 5

• 5, 10, 12, 20, 135

• 5, 10, 15, 20, 25

• 5, 10, 15, 20, 22

• 2, 5, 7, 10, 15

Multiple Select

Select ALL that Apply:

What are multiples of: 7

• 42

• 27

• 49

• 63

Multiple Choice

45 is ________ of 9

• Factor

• Multiple

• Factor Pairs

Multiple Choice

5 is a ________ of 25

• Factor

• Multiple

• Factor Pairs

Multiple Choice

70 is a ________ of 10

• Factor

• Multiple

• Factor Pairs

2 ways to find the LCM.

1. List all the multiples and find the smallest multiple.

2. Prime factorization - factor tree

Find the LCM of each set of numbers.

LCM of 9 and 12

12 = 12, 24, 36, 48, 60...

9 = 9, 18, 27, 36
 
LCM = 36

Prime & Composite Numbers

Prime Numbers

• 2: 1, 2

• 3: 1, 3

• 5: 1, 5

• 67: 1, 67

• 89: 1, 89

• All prime numbers only have TWO factors- one and itself!

​The numbers 0 and 1 are neither prime nor composite.

Multiple Choice

Is the number 18 prime or composite?

• prime

• composite

Multiple Select

Which numbers are prime? (Remember, prime numbers only have TWO factors, 1 and itself)

• 18

• 11

• 5

• 21

Multiple Select

Which numbers are composite? (Remember, composite numbers have 3 OR MORE factors!)

• 15

• 3

• 2

• 30

Multiple Select

Make a Factor Tree in your math journal then select the numbers that are factors of 28

Hint- There are 4 ANSWERS!!

• 2

• 4

• 6

• 14

• 7

​How to find the prime factorization of any number

Step 1: Find two factors for the number.

​24

​Step 2: If a factor is a prime factor, leave it there. If a factor is a composite factor, factor that again.

​_

​8

​_

​3

​Step 3: Repeat steps 1 and 2 until all factors are prime numbers.

​_

​_

​_

​2

​4

​3

​_

​_

​_

​_

​2

​2

​2

​3

Once you have all of the factors prime, you found the prime factorization!

​The prime factorization of 24 is:

​(The factors can be rearranged in a different prime factorization of the same number.)

A Product of Primes

•Every composite number can be expressed as a product of prime numbers.

​•This is called prime factorization.

​

Prime Factorization

​Divide the number by the first prime number possible.
Circle the prime number, and continue with the other factor.
Divide the new factor by a prime number.
Continue this process until the only numbers you have left are prime numbers.

Multiple Choice

Express 3  $$\times$$  7  $$\times$$  7  $$\times$$  3  $$\times$$  7 in exponential form.

• 3²  $$\times$$  7³

• 7²  $$\times$$  3³

• 3⁷  $$\times$$  2³

Multiple Choice

prime factorization

• the act of breaking a number down into all of its prime factors.

• to add all numbers together

Multiple Choice

Express 5  $$\times$$  5  $$\times$$  5  $$\times$$  7 in exponential form.

• 7³  $$\times$$  5

• 5³  $$\times$$  7

• 5⁷  $$\times$$  3

​Example: Prime Factorization of 32.

Multiple Choice

Use a number tree to find the prime factorization of 18

• 3 x 3 x 2

• 3 x 3 x 3

Multiple Choice

7 x 2 x 2 x 2 is the prime factorization for which of the following?

• 72

• 56

• 44

Multiple Choice

What is the prime factorization of 24?

• 2x2x2x2x3

• 2x2x3

• 3x3

• 2x2x2x3

Multiple Choice

What is the prime factorization of 8?

• 2x4

• 2x2x2

• 2x2x2x2

• 8x1