1. Fifth Grade Math State Test Review
Ms. Mikalauskas - St. Ann School

2. Topic 1: Place Value Systems
Standards: 5.NBT.1, 5.NBT.2, 5.NBT.3
Naming place value
Rounding numbers according to place value
Comparing numbers
Expanded, word, and standard form
Powers of 10

3. Place Value Naming

4. Rounding with Place value
Example: Round to the nearest:
Hundred:
The 4 says “leave it” = 200
Tens:
The 1 “says leave it” = 240
Ones:
The 8 “says add one more” = 242
Tenths:
The 9 “says add one more” = 241.9
Hundredths:
The 5 “says add one more” =

5. Comparing Decimals
If the whole numbers are the same take each number one at a time to the right of the decimal.
The number with the first larger number is bigger.
EX: __>__
equal
equal
0 is > 4

6. Word form
When putting numbers in word form, write it the way it would be said out loud.
Example:
9.4 = Nine and four tenths
87.49 = Eighty-seven and forty-nine hundredths
= Five hundred ninety-four and two hundred thirty-six thousandths

7. Standard Form Standard forms is the way a number is expressed simply
Examples
9.4
1920
390.94
1,000,000

8. Expanded Form To put a number in expanded form:
Take each digit and multiply it by the place value column it is in
Put addition signs between numbers

9. Powers of 10

10. Multiplying by powers of ten
When multiplying by a power of ten move the decimal point to the right the number of times in the exponent
Ex:

11. Dividing by powers of 10
When dividing by a power of ten move the decimal point to the LEFT the number of times in the exponent

12. Topic 3: Decimals Adding and subtracting Multiplying Dividing
Standards: 5.NBT.4, 5.NBT.5, 5.NBT.6 & 5.NBT.7
Adding and subtracting
Multiplying
Dividing
Comparing
Rounding

13. Adding and Subtracting Decimals

14. Multiplying Decimals

15. Dividing Decimals

16. Topic 3: Fractions Least Common Multiple Greatest Common Factor
Standards: 5.NF.1-5.NF.7
Least Common Multiple
Greatest Common Factor
Adding and subtracting fractions
Equivalent Fractions
Multiplying Fractions
Dividing Fractions
Working with mixed numbers and improper fractions
Simplifying fractions

17. Least Common Multiple
Least common multiples are used to find the Least common denominator in order to solve fraction addition and subtraction problems

18. Greatest Common FActor
GCF is used when simplifying fractions

19. Adding and Subtracting Fractions
Least Common Multiple: 3 5
4 | 6|
STEP 1: Find the LCD
STEP 2: Stack Fractions and convert to LCD
STEP 3: Add or subtract numerators ONLY
STEP 4: Denominator stays the same
STEP 5: Reduce Fraction + 4 6 1 1 4
x 3 12 3 9 + 6
x 3 12 10
Greatest Common Factor: 12
10 |
12 |
10 / 2 5
12 / 2 = 6

20. Multiplying Fractions
STEP 1: Put any whole numbers over 1
STEP 2: Multiply the numerators
STEP 3: Multiply the denominators
STEP 4: Simplify using the GCF

21. Dividing Fractions STEP 1: Keep the first
STEP 2: Change division to multiplication
STEP 3: Flip the second fraction
STEP 4: Multiply
STEP 5: Simplify

22. Mixed Numbers -> Improper Fractions

23. Improper Fractions -> Mixed Numbers

24. Multiplying Mixed Numbers
STEP 1: Change Mixed numbers into improper fractions
STEP 2: Multiply numerators and denominators
STEP 3: Change improper fraction to mixed number
STEP 4: Simplify

25. Dividing Fractions with Whole Numbers

26. Simplifying Fractions

27. Simplifying Fractions
Sometimes we think we found the greatest common factor when we only found a common factor.
If you get an answer that still has common factors you must keep dividing until it is in its simplest form.

28. Topic 5: Number Lines Can be used to find order of numbers
Used when making fraction line plots
Relates to x and y axis on a coordinate plane

29. Number Lines
Not all number lines increase or decrease by intervals of one
Follow these steps to correctly label number lines:

30. Integer order
Listing numbers in least to greatest or greatest to least can be found by using a number line.
Order from least to greatest: A, E, D, B, C
Order from greatest to least: C, B, D, E, A

31. The greatest snowfall was 6/8
Most common= 2/8
In total? Add:
1/8 + 2/8 + 2/8 + 2/8 + 2/8 + 5/8 + 5/8 + 6/8 + 6/8 = 31/8 = 3⅞
Difference between the least snowfall and the greatest?
Subtract 6/8-1/8= 5/8

32. Axis
The x-axis goes left to right across the coordinate plane (horizontal)
The y-axis goes up and down the coordinate plane (vertical)
Coordinates are always plotted (x,y) (*alphabetical)
Start at origin - move along x and then move along y

33. Example y *(x , y) x 2 right and 3 up 5 right and 3 down (negative #)
1 left and 3 down (negative #s) x

34. Topic 6: Measurements and Data
Standards: 5.MD MD.5
Volume relation to addition and subtraction
Converting measurements within a measurement system
Measurement conversions

35. Common Conversions
There will be a reference sheet with some of these conversions for you. However, it does not hurt to be familiar with them.

37. HOW TO CONVERT
When converting draw an arrow from what you have to what you are going to.
The amount of columns you count is the amount of times you move your decimal.
Example: meters converted into:
Centimeters (2 columns to the right of meters) - move decimal twice to the right = cm
Kilometers (3 columns to the left of meters) - move decimal three times to the left = km
Example 2: 48 centigrams
Kilograms (5 columns to the left of centi) - move decimal 5 times to the left =
Milligrams (1 column to the right of centi) - move decimal once to the right = 480 mg

38. Topic 7: Volume
Volume is used to describe the amount of space taken up by a 3D object.
Our answer is always expressed to the third power called “cubed”
We can use cubic units to help us figure out the volume of certain objects.

39. The volume of the first prism would be found by:
3 x 3 x 3 = 27 cubic feet
The volume of the second prism would be found by:
2 x 4 x 3 = 24 cubic feet
To find the difference we must subtract 27-24= 3

40. Topic 8: Operations
Operations are used to interpret numerical expressions
We must be able to identify when the correct operation should be used
Interpret numerical expressions
Analyze patterns and relationships

41. Topic 7: Order of Operations
LEFT TO RIGHT
Used when solving multi-step problems
LEFT TO RIGHT
LEFT TO RIGHT

42. Associative Property Addition:
Parenthesis can move without affecting the outcome of your problem
Multiplication:
Parenthesis can move without affecting the outcome of your problem

43. Distributive Property

44. Commutative Property
The order may change when only one operation is present and the outcome will not change.

46. Topic 9: Geometry
Shapes
Perimeter
Area
Volume

47. Perimeter of Shapes
The length of it’s outside

48. Area of A Rectangle

49. Area of Parallelograms

50. Rhombus