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Transcript
FOUR MAIN OPERATIONS:
1
Addition- the answer is called the sum
Addition words: altogether, in all, sum, how
many, total
Subtraction- the answer is called the difference
Subtraction words- how many more than,
decrease, reduce, less than, are left, change,
find the difference
4TH Grade Math Note Cards
Division- the answer is called the quotient
1
Multiplication- the answer is called
the product.
1
Division words: per, each
Divide when you are given a total and the
problem asks you to separate or divide into
equal parts; when you divide amounts get
smaller
Multiplication words: each, per, twice, double;these words are combined with addition words.
Multiply when you are given a set of something
with the same amount in each set; when you
multiply amounts get bigger.
ROUNDING STEPS:
1
1.Underline the place you are rounding- the number
can only do 2 things- go up by 1 or stay the same.
2. Look at the number to the right- if that number is
a 0,1,2,3 or 4, the number you are rounding will
stay the same. If it is a 5, 6, 7, 8, 9 it’ll go up by 1
3. Everything behind the number you’re rounding
becomes zeros. Everything in front of the number
stays the same, unless rounding a 9 to 10.
ESTIMATION:
1
Use rounding to help you estimate. Round
to the largest place in your number, unless
you are given a specific place (ex. nearest
whole number).
Estimation words: round, about, almost,
nearest, approximately, at least
FRACTIONS
1
Numerator- top number; this number answers
the question (how many are…red, shaded?
Denominator- bottom number; tells how many
parts your whole has been divided into
Improper Fraction: Numerator is bigger than the
denominator.
Mixed Numbers: have a whole number and a
fraction
Adding and Subtracting Fractions:
1
You can only add or subtract fractions when
they have the same denominator!
Comparing Fractions:
1
If the NUMERATORS are the same- the larger
the denominator the smaller the fraction
If the DENOMINATORS are the same- just
look at the numerators and put them in order
To Find a Common Denominator:
1. Ask: Is my smaller denominator a factor of my
larger denominator? If yes, use the larger.
2. Find the Quick Common Denominator
Find the lowest common multiple- LCM
1. First ask: Is my numerator a factor of my
denominator? If yes- can simplify in one
step!
2. If it is not, then use you prime numbers (2, 3,
5, 7, 11) to help you simplify
To make equivalent fractions- multiply or
divide the numerator and the denominator by
the same number.
Simplifying Fractions
1
Divide the numerator and the denominator by
the same number until you can not anymore.
DECIMALS:
Line up you decimals when you add or subtract
them; put zeros into empty spaces so that all
numbers go to the same place value.
ORDER OF OPERATIONS:
Please Excuse My Dear Aunt Sally
P- Parenthesis
E- Exponent
M- Multiplication
D- Division
A- Addition
S- Subtraction
MEASUREMENT- LENGTH
MEASUREMENT- WEIGHT
1
Think of decimals as money to help you
compare and order them; can add zeros to end
of number to make all go to same place value.
Customary (US)
12 inches = 1 foot
36 inches = 1 yard
2
1
2
Customary (US)
16 ounces = 1 pound
2,000 pounds = 1 ton
3 feet = 1 yard
5,280 feet = 1 mile
MEASUREMENT- CAPACITY/VOLUME
2
Customary (US)
8 fluid (liquid) ounces = 1 cup
* See the “BIG G” on back
Triangles- have no diagonals
3
All quadrilaterals- have 2 diagonals
Squares, rhombus and kites always have
perpendicular diagonals
Pentagons- have 5 diagonals; form a star
LINES
3
Parallel lines - lines that never meet or cross,
and they stay the same distance apart.
Perpendicular lines – lines that cross or meet
at 90 degree angles, forming right angles.
More types of quadrilaterals:
3
Rhombus- all sides same length, opposite
angles are equal, 2 pairs of parallel lines
Parallelogram- have 2 pairs/sets of
parallel sides, opposite sides are
equal/congruent. Squares, rectangles, and
rhombus are all types of parallelograms;
QUADRILATERALS:
3
A polygon with 4 sides, 4 vertices (corners),
and 4 angles
The sum of its interior angles is 360 degrees
Types of quadrilaterals:
Square- all sides same length, all right angles,
2 pairs/sets of parallel lines
Rectangle- opposite sides are the same length,
all right angles, 2 pairs/sets of parallel lines
More types of quadrilaterals:
3
Trapezoid- has exactly one pair/set of
parallel lines
Kite- has two pairs of equal sides. The
equal sides are next to each other. All four
sides can not be the same length; does not
have any pairs/sets of parallel lines
TRANSFORMATIONS
3
FORMULAS
3
Rotation: T = turn
AREA = length X width
Reflection: FL = flip
PERIMETER = add all sides
Translation: SL = slide
DATA and GRAPHING
Types of graphs:
4
Line graph- shows the changes in data over
time, one of the axis will show a unit of time
More Types of graphs:
4
line plot data is placed on a number line
represented by symbols
Bar- uses horizontal or vertical bars to show
information.
Stem-and-leaf- larger place values (ex.10s,
100s) are the stems and numbers in the 1s place
are the leaves
Maximum- the largest number
4
Minimum- the smallest number
Range- subtract the smallest number from the
largest
Mode- most often used number
Median- the middle number; line the numbers
up from smallest to largest and cross off on
each end until you reach the middle number
PATTERNS:
5
* Data is often organized in T-charts
* Look for relationships between the numbers
or symbols: Are they increasing (addition or
multiplication)? Are they decreasing
(subtraction or division)?
*When you think you have found the correct
pattern- always check and be sure it works!