Vocabulary
Rational and Irrational
Between which two whole numbers is the decimal approximation of...
Write the expression for the approximation or exact perimeter of the square...
Use decimal approximations of √2=1.41, √3=1.73, √5=2.24, and =3.14...
100
What is a terminating number?
A number that doesn't repeat. Stops.
100
Is the following number rational or irrational? Why? √25?
Rational: 5. Terminate. Doesn't continue/Doesn't Repeat. Perfect Square.
100
Which two whole numbers is √5 between? ___and___
2 and 3
100
Use 2.24 as an approximation of √5 A square has sides √5, find the exact perimeter of the square. ___x___
4 x √5
100
Approximate the values of the following expression. Round to the nearest hundredth, where necessary. 5+√3≈ ___+___=___
5 + 1.73 = 6.73
200
What is the Perimeter of a square with side length s?
P=4s
200
Is the following number rational or irrational? Why? √6?
Irrational: 2.449489742783178... Doesn't Terminate. Continues.
200
The following irrational number is between which two whole numbers? √60 ___and___
7 and 8
200
Use 2.24 as an approximation of √5 A square has side √5m, estimate the perimeter of the square. ___x___=___m
4 x 2.24 = 8.96
200
*BOARD QUESTION!!! (NEXT SPOKESPERSON FROM EACH GROUP GO TO THE BOARD AND SOLVE THE PROBLEM. EACH WILL RECEIVE THE POINTS IF ANSWERED CORRECTLY! :D) Approximate the values of the following expression. Round to the nearest hundredth, where necessary. √2 x √5 ≈ ___ x ___=____
1.41 x 2.24 = 3.16
300
What is a perfect square, and can you come up with an example?
A number multiplied by itself. 1, 4, 9, 16, 25, 36, 49, 64, 81, 100...
300
Is the following number rational or irrational? Why? √40?
Irrational: 6.324555320336759 Doesn't Terminate. Continues.
300
The following irrational number are between which two whole numbers? √17 ___and ___
4 and 5
300
What is the area of a square with a side length: √6? ___ square units
A=s² A=(√6)² = √6 x √6 = √36 = 6 square units.
300
Approximate the values of the following expression. Round to the nearest hundredth, where necessary. ℼ + √2 ≈ ___+___=___
3.14 + 1.41 = 5.55
400
Cannot be written in the form a/b, where a and b are integers and b is not 0. Decimal form continues forever, but never shows a repeating pattern of digits.
Irrational Numbers
400
Is the following number rational or irrational? Why? √ℼ
Irrational: 3.1415926535... Doesn't Terminate. Continues.
400
*BOARD QUESTION!!! (NEXT SPOKESPERSON FROM EACH GROUP GO TO THE BOARD AND SOLVE THE PROBLEM. EACH WILL RECEIVE THE POINTS IF ANSWERED CORRECTLY! :D) Between which two tenths is the decimal approximation of √6? √6 ___ and ___
2.4 and 2.5
400
Write an expression for the EXACT perimeter of a square with a side length of √5mm? ___x___
4 x √5
400
*BOARD QUESTION!!! (NEXT SPOKESPERSON FROM EACH GROUP GO TO THE BOARD AND SOLVE THE PROBLEM. EACH WILL RECEIVE THE POINTS IF ANSWERED CORRECTLY! :D) Approximate the values of the following expression. Round to the nearest hundredth, where necessary. (√5)² ≈ ___x___=____
2.24 x 2.24 = 5.02
500
Number that can be written in the form a/b, where a and b are integers and b is not 0. Decimal form either terminates or continues forever in a repeating pattern.
Rational number
500
Is the following number rational or irrational? Why? √88?
Irrational: 9.380831519646859... Doesn't terminate. Continues.
500
The following irrational number are between which two whole numbers? √85 ___ and ___
9 and 10
500
*BOARD QUESTION!!! (NEXT SPOKESPERSON FROM EACH GROUP GO TO THE BOARD AND SOLVE THE PROBLEM. EACH WILL RECEIVE THE POINTS IF ANSWERED CORRECTLY! :D) Use an APPROXIMATION value for the irrational factor √5mm=2.24mm, ℼ=3.14 √5xℼ=... ___ x ___ = ____mm Round to the nearest hundredth.
2.24mm x 3.14 = 7.03mm
500
*BOARD QUESTION!!! (NEXT SPOKESPERSON FROM EACH GROUP GO TO THE BOARD AND SOLVE THE PROBLEM. EACH WILL RECEIVE THE POINTS IF ANSWERED CORRECTLY! :D) Explain why it is possible to find the exact area of a square with side length of √2mm. What is the exact area?
A square has 4 equal sides. If all the sides are the same and the area of a square is: A=s or A=LW, then we would find the exact area by: A=s² A=(√2mm)² = √2mm x √2mm = √4mm² = 2mm²
M
e
n
u