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Prime Numbers and
Factors
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An integer (greater than one) is prime if the only whole numbers it
can be divided by (without a remainder) are itself and one. All
other integers are composite. In other words, a prime number has
only two positive factors. Composite numbers have more. For example,
seven is a prime number because its only positive factors are one
and seven. Fifteen is composite because it has four: one, three,
five, and fifteen.
Eratosthenes' Prime Number Sieve
Eratosthenes was a Greek mathematician who figured
out that to find all the prime numbers between two and some large
number, you need to remove all the multiples of each number between
two and your large number.
Dr. Math: Prime Numbers
"A prime number is a positive integer that has
exactly two positive integer factors, 1 and itself. For example, if
we list the factors of 28, we have 1, 2, 4, 7, 14, and 28. That's
six factors. If we list the factors of 29, we only have 1 and 29.
That's 2. So we say that 29 is a prime number, but 28 isn't." Dr.
Math presents an excellent introduction to prime numbers, the Sieve
of Eratosthenes, and links to other prime number sites.
Fact Monster: Prime Numbers
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Data Analysis
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What DO you do when someone asks you to
find the range, mean, median and mode of a set of numbers?
Math Goodies lessons on "range"
Lesson on "range"
Practice with "range"
Math Goodies lessons on "mode"
Lesson on finding the mode
Practice on finding the mode
Math Goodies advanced lessons on "mean"
Lesson on finding the "mean"
Practice finding the mean
Lesson on finding the range and mean
Practice finding the range and mean
AAA
Math Statistics Lessons
Create a Graph
Data Interpretation Games
tally the information
and pick the right pie, bar, and line chart.
"Mathematics and Environmental Concerns: Aluminum Cans" (3-8)
Illuminations, The
National Council of Teachers of Mathematics
http://www.marcopolo-education.org/mg/lesson406.aspx
Students participate
in activities in which they investigate the data in connection
with recyclable materials and develop plans to help the
environment. |
Games, Measurement and Statistics
Picture This
Pizza At Home
Problem Solving: Dealing with Data
M & M Statistics Lesson
Data Handling
information is given on different kinds of
graphs, what the parts of each mean, how to construct them, and how to
interpret them. Quizzes included.
Collecting and Analyzing Weather Data
BBC Train Race You will need your calculator.
Chips a Tally
Collecting data, then analyzing it
Mighty M&M Math -
Fun ways to learn
about fractions and percentages using these favorite candies.
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Math Journaling
Find an explanation why we will journal in math. The form
is on our desktops at school, but you can download a copy at home, too.
I've modified ours at school from the one you find here.
Subtraction
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Metric Measurement
Math Hunts
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All
About Place Value
Place Value Games
Rounding Practice
Can You Say Really Big Numbers?
Think of a
number, type it in and say it out loud, then find out how to write the
number. The game does not allow you to use decimal points.
Place Value Activity
Type in a number, click "Solve!," and
learn the place value of each digit. For example, if you type in the
number 25, you'll learn that the 2 is in the tens place and the 5 is
in the ones place.
Place Value Random Number Chart
This site can be used for whole
group instruction to review the place values of numbers and practice
reading large numbers.
Place Value Puzzler
Practice finding the
value of digits in a given number; has different levels of difficulty.
Finding the Values self-checking quiz This
activity asks for the value a digit has in different numbers.
Place Value- Mystery Numbers Solve the
riddles with your place value knowledge.
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Place Value Worksheet I
This activity focuses on the place value of hundreds
and has students arrange the numbers to create large and small
numbers. Click on "Change" for a new set of numbers.
Place Value Worksheet 2
This activity focuses on the place value of thousands and has students
arrange the numbers to create large and small numbers. Click on
"Change" for a new set of numbers.
Place Value Worksheet 3
This
activity focuses on the place value of ten thousands and has students
arrange the numbers to create large and small numbers. Click on
"Change" for a new set of numbers.
Place Value Worksheet 4
This activity focuses
on the place value of hundred thousands and has students arrange the
numbers to create large and small numbers. Click on "Change" for a new
set of numbers.
Write the Number that Fits the Words
self-checking quiz
Place Value Game
Try to outwit the program by
placing random digits to make the largest number possible.
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Unit 2, Using Numbers and Organizing Data
Everyday Math
Resources
EM Games
Family Letters
Everyday Math Algorithms
Everyday Mathematics Math Glossary
Subtraction Trade First Method
| Closest to the traditional
standard is a method that Everyday Mathematics calls "trade
first". It is the Everyday Math focus algorithm for
subtraction. It is a two stage process, first working right
to left to do all the borrowing (recording the intermediate
results above the top number) and then a second pass, in any
order, doing the subtractions. The intermediate results are
two-digit numbers, so one needs to use wide columns, and it
is recommended to separate the columns with clear vertical
lines. In the example at right, 325 - 58, we first recognize
that the ones column needs borrowing, so we replace 2*10+5
by 1*10+15. Then we recognize that the tens column also
needs borrowing, so we replace 3*100+1*10 by 2*100+11*10.
Then we do the subtraction in each column. |
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2|11|
| 1|15
3| 2| 5
- | 5| 8
--|--|--
2| 6| 7
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Partial Sums Method
| The Partial Sums method (the
Everyday Math focus algorithm for addition) is a two-stage
process. In the first stage one looks at each column
(working left to right) and adds up the place-values
represented by the digits in that column. In the second
stage those partial sums are added together. In the first
example at right the process is applied to 148 + 67 +
266. The Everyday Mathematics student reference does
not recommend a specific algorithm for the addition problem
in the second stage. Frequently the second stage problem
will be "easy" in that it can be done one column at a time
without any carries, as is the case in the first example.
Perhaps the pupil is expected to iterate the Partial Sums
method in cases where the second stage addition problem
involves carrying.
The reader may want to explore the Partial Sums algorithm
in a case where the second stage and even the logical third
stage involve carrying. Try 148 + 855 or, for
an example that is a bit harder for mental arithmetic, see
the second problem at right, 678 + 67 + 266.
The mathematically inclined reader will note that the
Partial Sums method (iterated so long as carrying is
required) terminates, because every application of the basic
step will reduce, from the right, the range of columns for
which carrying is required. |
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148 678
+ 67 + 67
+ 266 + 266
--- ---
-> 300 -> 800
+ 160 + 190
+ 21 + 21
--- ---
481 -> 900
+ 110
+ 1
----
-> etc
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Partial Sums and Column Addition Algorithm
Another site that explains.
White House Tour
Place Value
SmartBoard Interactive Place value exercises
Place Value Worksheet I
This activity focuses on the place value of hundreds
and has students arrange the numbers to create large and small
numbers. Click on "Change" for a new set of numbers.
Place Value Worksheet 2
This activity focuses on the place value of thousands and has students
arrange the numbers to create large and small numbers. Click on
"Change" for a new set of numbers.
Place Value Worksheet 3 This
activity focuses on the place value of ten thousands and has students
arrange the numbers to create large and small numbers. Click on
"Change" for a new set of numbers.
Place Value Worksheet 4 This activity
focuses
on the place value of hundred thousands and has students arrange the
numbers to create large and small numbers. Click on "Change" for a new
set of numbers.
Finding the Values self-checking quiz This
activity asks for the value a digit has in different numbers.
Write the Number that Fits the Words
self-checking quiz
Place Value- Mystery Numbers Solve the
riddles with your place value knowledge.
Place Value Random Number Chart
This site can be used for whole
group instruction to review the place values of numbers and practice
reading large numbers.
Place Value Puzzler Practice finding the
value of digits in a given number; has different levels of difficulty.
Place Value Game Try to outwit the program by
placing random digits to make the largest number possible.
All
About Place Value
Place Value Games
Wise-Up, Our Number System Explains place
value in a fun way and then tests for understanding.
Base 10 Blocks
manipulative applet
Base 10 Blocks interactive blocks
Data Analysis
What DO you do when someone asks you to
find the range, mean, median and mode
of a set of numbers?
BrainPOP range, mean, median and mode
New
Analyze Data and Graphs Unit from EdHelper.com
Math Goodies lessons on "range"
Worksheet
on range, median, mean and mode
Data Collection Projects
Right or Left-handed data collection project
Create a Graph
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Unit 3 Multiplying, Dividing, Number Sentences and Algebra
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Time Zones
