REAL NUMBER SYSTEM MATH PROJECT
DUE DATE _______________________
Name ____________________________________________
Period ___________
Directions –
Create a mental organizer to visually represent the differences between rational and
irrational numbers.
Steps –
1. Create a mental organizer for the real number system. Your design should have two
main parts: rational numbers and irrational numbers. Choose a design that shows how
rational numbers are divided into four subsets, and the irrational numbers are part of the
REAL numbers system but “different”. Can your design represent irrational numbers as
a play on the word “irrational”?
Example Ideas
Idea 1: Great Pyramid at Giza (3 burial chambers and Grand Gallery) and Aliens
(irrational)
Idea 2: Pizza layers (Crust, sauce, cheese, toppings) and Drink with “crazy” straw
(irrational)
Idea 3: Tree trunk layers (bark, cambium, sapwood, heartwood, pith) and chainsaw
(irrational)
2. Clearly label each set of the Real number system including The REAL NUMBERs.
For rational numbers, provide 5 numerical examples for each subset {Natural, Whole,
Integers, Rational}. For irrational numbers, provide 5 examples as well.
3. Include a large, clearly marked number line with 10 points for the following real
numbers:
Natural Number
Whole Number
Integers
*Positive
*Negative
Rational Numbers
*simple fractions
*terminating decimals
*repeating decimals
*a perfect square root
Irrational Numbers
*pi
*imperfect square
roots
4. Include 5 math problems; One from each number set. Use an equal sign, show your
work and circle the answer.
5. Be neat, use a ruler and use color to make your project creative, and organized.
Student’s work was very neat, legible and colorful. Evidence of effort and time.
6. 2 points for include your name, period and the rubric on your final project.
REAL NUMBER SYSTEM
Math Project Rubric
NAME ___________________ PD__________
Component
Description
NAME & CLASS Students name and class period and
Rubric is on the back of the project
Labeled all
Clearly and correctly identified all the
Numbers Systems number system of the REAL Numbers
Accurately group the subsets - Irrational
#s is clearly separated from rational
N, W, I and clearly part of Rational #
Examples for
Provided 5 examples for each of the Real
Each subset
Number Subsets
Number line
Neat Number – used a ruler and then
clearly indicated the 10 points required,
accurately placing them on the correct
area of the number line
Math problems
Included 5 math problems
One form each subset of the real numbers
Work was neat and correct, showed all
steps to solve the problem and answer was
clearly identified) circled/highlighted etc.
Creativity and
Student’s work was very neat, legible and
Effort
colorful. Evidence of effort and time.
REAL NUMBER SYSTEM
Math Project Rubric
Points
2 points
Grade
2
1pt each
Total 6 pts
2 pts correctly
grouped
2pts each
Total 10
1pt per #
Total 10
8
10
10
2pts per problem
Total 10
Total 10
10
10
NAME ___________________ PD__________
Component
Description
NAME & CLASS Students name and class period and
Rubric is on the back of the project
Labeled all
Clearly and correctly identified all the
Numbers Systems number system of the REAL Numbers
Accurately group the subsets - Irrational
#s is clearly separated from rational
N, W, I and clearly part of Rational #
Examples for
Provided 5 examples for each of the Real
Each subset
Number Subsets
Number line
Neat Number – used a ruler and then
clearly indicated the 10 points required,
accurately placing them on the correct
area of the number line
Math problems
Included 5 math problems
One form each subset of the real numbers
Work was neat and correct, showed all
steps to solve the problem and answer was
clearly identified) circled/highlighted etc.
Creativity and
Student’s work was very neat, legible and
Effort
colorful. Evidence of effort and time.
Points
2 points
Grade
2
1pt each
Total 6 pts
2 pts correctly
grouped
2pts each
Total 10
1pt per #
Total 10
8
10
10
2pts per problem
Total 10
Total 10
10
10
REAL NUMBER SYSTEM
Math Project Rubric
NAME ___________________ PD__________