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Math Study Guide

Mid Year Math Test: ALL material covered this school year.
Test: This test will be broken up into 2 parts. The first (Vocabulary ONLY) will be given on Wednesday. The 2nd part (Questions from each section) will be given Thursday. 
 
Place Value
Whole Numbers: made of digits NOT fractions or decimals
Digits: The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Place Value: tells the value of each number based on its “place”
Place Value Chart: a chart that helps show the value of each digit
Ten Thousands
Thousands
,
Hundreds
Tens
Ones
6
1
,
 
 
 
 
Place-value system: based on 10’s
Expanded Form: shows the number written as a place value problem
                EX: 500 + 20 + 4
Word form: the word is written in words
                EX: five hundred twenty four
Standard form: written in digits (the normal way)
                EX: 524
Block form: shown using place value blocks
                EX: 
 
Even and Odd Numbers
Even Number: has 0, 2, 4, 6, or 8 in the ones place
            Is divisible by 2
EX: 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20………
Odd Numbers: have 1, 3, 5, 7, and 9 in the ones place
            ARE NOT divisible by 2
EX: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27…….
 
Comparing and Ordering Whole Numbers
Less Than: Not as many , <
            EX: 52 < 57
 
Greater Than: There are more, >
            EX: 25 > 19
 
Equal to: The same amount , =
            4 + 3 = 3 + 4
Compare: to tell how items are the same
Contrast: to tell how items are different
 
Patterns:
Number Pattern: a group of numbers that follows a rule
 
EX: 20   25   30   35   40   45
Rule: Add 5
Estimation
Estimate: a close guess
Rounding: to the nearest 10, 100, ….etc.
 
Rounding Rules: 
Look at the digit to the right of the one you are rounding.
If the number is 0-4 round down to zero
If the number is 5 or more, round up 1.
 
EX: Round 543 to the nearest 10.
The number in the 10’s place is 4. The number to the right is 3. Three is between 0 and 4 so it rounds down to zero. 
The number 543 rounded to the nearest 10 is 540.
 
EX: Round 678 to the nearest 10.
The number in the 10’s place is 7. The number to the right is 8. 8 is greater than 5, so it rounds up one. The number 678 rounded to the nearest ten is 680.
 
Adding and Subtracting (with Regrouping)
 
Addition: to combine 2 or more numbers to find the sum or total
Subtraction: a way of taking one number away from another to find the difference
Addend: the numbers you add
Sum: The answer to an addition problem
Difference: The answer to a subtraction problem.
Minuend: the number you are subtracting from
Subtrahend: the number being subtracted
 
 
Telling Time:
Clock: a device used to measure time
Analog clock: a clock using hands to point out the time
Digital Cock: a clock that is electric and shows the numbers as lights
Hour: 60 minutes long ….is shown using the short hand on an analog clock
Minute: 60 seconds long….shown using the long hand on an analog clock
A.M.: is written for time from midnight to noon
P.M.: is written for times from noon to midnight
Noon: 12:00 in the daytime
Midnight:12:00 at night
Elapsed Time: the time that passes from the start of an activity to the end of the activity
 
1 hour
60 minutes
½ hour
30 minutes
¼ hour
15 minutes
¾ hour
45 minutes
 
 
MASS
 
Mass: How much matter an object has
1 Kilogram = 1,000 grams
A paperclip = 1 gram
1 pair of shoes = 1 kilogram
 
Abbreviations:
Kilogram = kg
Gram = g
 
 
Capacity
Capacity: how much a container can hold
Metric Units of Capacity
1 liter (L) = 1,000 milliliters (ml)
 
Standard Units of Measurement
 
Gallon =
16 cups
8 pints
4 quarts
½ Gallon =
8 cups
4 pints
2 quarts
Quart
4 cups
2 pints
 
Pint
2 cups
 
 
 
 
Perimeter
Perimeter: the distance around an object (add up all of the sides)
Length: how long an object is
Width: how wide an object is
Multiplication
Multiplication: a shortcut for addition to combine equal groups
Factor: numbers you multiply together
Product: the answer to a multiplication problem
Array: shows equal groups of objects in rows and columns
            EX:       *   *   *   *   *
                                *   *   *   *   *
                        *   *   *   *   * 
This array shows the problem 3 x 5.   The number 3 shows how many rows, the number 5 shows how many in each row.