Transcript 1st Quarter Study Guide

Fact families can be made with
three related numbers. We say they
are related because we can make
two true multiplication sentences
and two true division sentences.
See how the numbers 2,8,16 are related.
2 x 8 = 16
8 x 2 = 16 These are turn-around facts.
16 / 2 = 8
the
16 / 8 = 2 Notice how the quotient and
divisor trade places.
Notice that the largest number is always the
product in the multiplication sentence and
the dividend in the division sentence.
See how the numbers 4,6,24 are related.
Product
Dividend
Product
4 x 6 = 24
6 x 4 = 24
24 / 6 = 4
24 / 4 = 6
Dividend
The area of a shape refers to the
space within the lines of the shape.
Area can be found by finding the
number of square units within a
shape.
1
3
2
4
Area = 8 sq units
5
6
7
8
Area of a square or rectangle can be found
by multiplying the length times the width.
Try this…..
Find the area of each figure below.
Click on the box to check you answer.
7 inches
20 cm
7 inches
Area = 7 x 7 = 49 sq inches
8 cm
Area = 20 x 8 = 160 sq cm
14 cm
7 cm
7 cm
Perimeter = 33cm
5 cm
Try this…..
Find the perimeter of each figure below.
Click on the box to check you answer.
6 cm
14 inches
8 inches
2 cm
3 cm
2 cm
4 cm
14 + 14 + 8 +8 = 44 inches
3 cm
6 + 2 + 3 + 2 +3 + 4 = 20 cm
An ANGLE is the amount of
turning between the two sides
of the angle.
Right Angle
Acute Angle
Obtuse Angle
90 degrees
Less than 90
degrees
More than 90
degrees
Click on the numbers one
through ten to identify
each type of angle.
2
1
3
4
7
5
1. acute
6
8
10
6. acute
9
2. obtuse
7. Right angle
3. Right angle
8. obtuse
4. acute
5. obtuse
9. obtuse
10.obtuse
All bar graphs need:
1. A Title
2. Axes labeled with names
of the two variables
3. Show the values of the
variables
4. Need a scale that will
accurately display the data
An average is a single value that represents a
set of numbers. For example, the average grade
for a student is the one number that is used to
represent all grades in a subject area.
The median is the number exactly in the
middle of a set of numbers.
To find the median the list of numbers must be
listed in order from small to large.
In a list of numbers where there is an odd
number of values, the exact middle number
will be the median.
EXAMPLE..
In five basketball games John
scores 12, 8, 6, 3, and 15 points.
Put these numbers in order….
3,6,8,12,15
8 is the median because it is
the exact middle.
In a list of numbers where there is an even
number of values, find the two middle
numbers and determine the middle of
those two numbers.
EXAMPLE..
After six quizzes Sara as these score,
18,16,14,20. Put these numbers in
order…
14,16,18,20 Find the two
middle numbers…16,18…determine
what is exactly in the middle of those two
numbers….
17 is the median
Try this…..
On the first five spelling tests Tony
received these
scores….88,91,75,100,78.
What is his median score?
Click the box to reveal the solution.
75, 78, 88, 91, 100
Try this…..
Terry opens six bags of M&M’s. There
are 24,33, 22, 18,27,20 M&M’s in the
opened bags.
What is his median score?
Click the box to reveal the solution.
18,20,22,24,27,33
22 and 24 are the middle two
numbers. 23 is the median
because it is exactly between 22
and 24
Place value helps to organize our
numbers so that they can be read and
understood by everybody.
When we talk about “place”, we are
asking you to name the place value
location of the number.
When we talk about “value”, we are
asking how much a digit is worth in a
particular “place”.
ones
tens
hundreds
thousands
Ten thousands
Hundred thousands
millions
Ten millions
Hundred millions
______ ______ ______, ______ ______ ______, ______ ______ ______
Let’s look at the number 1,487.
We can identify the place and the
value for each digit.
Place
Value
1
Thousands
1,000
4
Hundreds
400
8
Tens
80
7
Ones
7
One way to remember the difference
is that you will write the place of a
number using words….tens,
hundreds…..
You will write the value of a number
using numbers….200.. 40… 3000
Another way to think about value is to
take the digit and multiply it times the
place it is in….look at this….
The number 3,582….the five is in the
hundreds place….so we will multiply 5
x 100 = 500. The value of the 5 is 500.
Ones - 1 Tens – 10 Hundreds – 100 Thousands – 1,000
Ten Thousands – 10,000 Hundred Thousands – 100,000
Millions – 1,000,000 Ten Millions – 10,000,000
Hundred Millions – 100,000,000
Factors are two numbers that we can
multiply together to equal a third
number….examples
12
18
1 x 12
1 x 18
2x6
2x9
3x4
Multiples is another way of saying
“counting by”. If you are asked for the
first five multiples of 3, you would count
by 3… 3,6,9,12,15
Prime numbers only have two
factors….the number 1 and the number
itself. 7 is a prime number because the only
factors are 7 and 1…19 is a prime number
because the only factors 19 and 1.
Composite numbers are numbers that
have more than two factors.
In other words numbers that are not prime
numbers are composite numbers.
12 is an example of a composite number. It
has the factors.. 1,12,2,6,3,4.
Square numbers are numbers that can be
found by multiplying a number by itself.
2x2=4
4 is a square number
6 x 6 = 36 36 is a square number
When used as the length and width of a
rectangle, they will be the dimensions of
a square.
They can be written as 6 = 26 x 6. This
can be read “six squared”.
Prime factors are a series of prime
numbers that when multiplied, will equal
a given number. We find these prim
numbers by creating factor trees.
24
8
4
2
2
3
2
2 x 2 x 2 x 3 = 24