PYTHAGOREAN
THEOREM
THEOREM
LAWS OF
EXPONENTS
EXPONENTS
SCIENTIFIC
NOTATION
NOTATION
RANDOM MATH
SURPRISE
100
What is the Pythagorean Theorem?
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
100
What is the product rule of exponents?
if two factors raised to an exponent are being multiplied together, and they have the same base, we can add the exponents
100
What is scientific notation?
Scientific notation is a way of expressing numbers that are very large or very small in a more concise and manageable form by using powers of 10.
100
What is the formula for calculating the area of a circle?
The formula for calculating the area of a circle is A = πr^2, where A represents the area and r denotes the radius of the circle.
100
What is my favorite drink?
Dr. Pepper
200
Who is credited with discovering the Pythagorean Theorem?
The Pythagorean Theorem is named after the ancient Greek mathematician Pythagoras, although it is believed that it was known and used by other civilizations before him.
200
How do you divide numbers with exponents when they have the same base?
subtract the exponents.
200
How is scientific notation used in real-life applications?
cientific notation is commonly used in scientific fields such as physics, chemistry, and astronomy, where dealing with extremely large or small numbers is common. It is also used in engineering and finance to represent values such as distances in space, atomic sizes, or stock market fluctuations.
200
What does PEMDAS stand for in mathematics?
PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It is used as an order of operations guideline in mathematical expressions.
200
Who are my two teacher besties in the 7th grade?
Mrs. Holder & Mrs. Smit
300
How is the Pythagorean Theorem expressed mathematically?
Mathematically, the Pythagorean Theorem is expressed as: a^2 + b^2 = c^2, where 'a' and 'b' are the lengths of the two shorter sides (the legs) of the right triangle, and 'c' is the length of the hypotenuse.
300
What happens when raising a power to another power?
the exponents are multiplied and the base remains the same.
300
Why is scientific notation important in scientific calculations?
Scientific notation allows scientists to work with numbers that vary greatly in magnitude without having to write out all the zeros, making calculations more efficient and easier to interpret. It also helps in maintaining precision when dealing with measurements and significant figures.
300
How many degrees are there in a circle?
There are 360 degrees in a circle. This fundamental concept is the basis for angular measurements in geometry and trigonometry.
300
How long has Mrs. Johnson been teaching?
5 years, almost 6 years (at the end of this year)
400
How is the Pythagorean Theorem commonly applied in real-world scenarios?
The Pythagorean Theorem is widely used in fields such as architecture, engineering, physics, and navigation for calculating distances, determining angles, and solving problems involving right triangles.
400
What is the rule for raising a product to an exponent?
This rule states that if two powers are being multiplied, and if their bases are equal, then the product of the powers will have the same base as the powers being multiplied, and it will be raised to an exponent equal to the sum of the exponents over the powers being multiplied.
400
How do you convert regular numbers to scientific notation?
To convert a regular number to scientific notation, move the decimal point to the proper position so that there is only one non-zero digit to the left of the decimal point. Then, express the number as the product of this digit, a power of 10, and an exponent representing the number of places the decimal point was moved.
400
What is the Pythagorean Theorem?
The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It is represented as a^2 + b^2 = c^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
400
What is Mrs. Holder's daughter's name?
Daley Grayce
500
Are there any variations or extensions of the Pythagorean Theorem?
Yes, there are several variations and extensions of the Pythagorean Theorem, including the Law of Cosines and the Law of Sines, which are used to solve triangles that are not right triangles. These laws are essential in trigonometry and advanced geometry.
500
How are negative exponents handled in exponent laws?
the base must be written as its reciprocal, and then the exponent will become positive. 10 to the negative power of 2 is rewritten as 1/10 to the power of 2. 10 to the power of 2 is 100, so 10 to the negative power of 2 is 1/100.
500
What are the advantages of using scientific notation?
The advantages of using scientific notation include making calculations simpler, reducing the likelihood of errors, facilitating comparisons between numbers of different magnitudes, and providing a standardized way of representing values in scientific communication. It also helps in visualizing the scale of numbers more easily.
500
Define the term 'slope' in relation to linear equations.
In the context of linear equations, the slope represents the measure of the steepness of a line. It is calculated as the ratio of the change in the y-coordinates to the corresponding change in the x-coordinates between two points on the line. The slope-intercept form of a linear equation is y = mx + b, where 'm' represents the slope and 'b' is the y-intercept of the line.
500
What is Mrs. Holder's Dog's Name?
Gunner