Pythagoreans Theorem
A right triangle has legs of lengths 3 cm and 4 cm.
Question: What is the length of the hypotenuse?
What is 5 cm?
Is the square root of 2 rational or irrational?
irrational
A relation is given by the set of ordered pairs
(1,2),(2,5),(3,2),(1,4)
Question: Is this a function? Explain.
No. The input 1 maps to two different outputs (2 and 4), so it fails the definition of a function.
What is the slope intercept formula
y=mx+b
What colors make up the rainbow
red, orange, yellow, green, blue, indigo, and violet
In a right triangle, one leg measures 6 inches and the hypotenuse measures 10 inches.
Question: Find the length of the other leg.
What is 8 inches?
Is π rational or irrational?
Irrational
Evaluate a Linear Function:
Let f(x)=3x−7
Question: Find f(4)
f(4)=3(4)−7=12−7=5.
In the formula y=mx+b what variable represents the independent variable? And what variable represents the y-intercept?
x=independent variable, b= y-intercept
What math class are you required to take in 9th grade?
Algebra I
Determine whether a triangle with side lengths 5, 12, and 13 units is a right triangle.
Question: Explain your reasoning using the Pythagorean Theorem.
5^2+12^2=25+144=169 Since they match, it is a right triangle.
Calculate the square root of 5 and approximate it to the nearest hundredth.
≈ 2.24
Compare Function Outputs:
Define f(x)=x^2 and g(x)=2x+1
Question: Which is larger, f(3)or g(3)?
f(3)=9; g(3)=7. So f(3) is larger.
A photographer charges a flat $50 plus $20 per hour. Let C be cost (dollars) and h be hours.
Question:
a) Write an equation for C in terms of h.
b) What will a 3‑hour session cost?
a) C=20h+50
b) C(3)=20(3)+50=60+50=110
What subjects other than math have I taught?
Science and Social studies
A ladder leans against a wall so that its base is 8 ft from the wall and it reaches 17 ft up the wall.
Question: How long is the ladder? (Give your answer to the nearest tenth of a foot.)
What is ≈18.8 ft
Find two consecutive integers between which the square root of 7 lies.
2² = 4 < 7 < 9 = 3²
Are They the Same Function?
Consider p(x)=4(x−1) and q(x)=4x−4
Question: Do p and q define the same function? Justify.
Yes. Distribute in p(x): 4(x−1)=4x−4, which is exactly q(x). They are equivalent.
5(x−2)=3x+4
Question: Solve for x
x=7
What is the name of my children?
Anjel, Kai'Lyn, Kailesi
On the coordinate plane, point A is at (2, 1) and point B is at (5, 5).
Question: What is the distance between A and B? Show how you apply the Pythagorean Theorem to the run and rise.
5 units
A square garden has area 50 yd². The length of each side is square root of 50
Is the square root of 50 rational or irrational?
Approximate the side length to the nearest hundredth.
Irrational ≈ 7.07 yd
What is the rule of functions?
each input x to exactly one output f(x) or y.
System of Linear Equations
{x+y=6
2x−y=3.}
Question: Solve for x and y.
x=3
y=3
What is my best friend at Southside Junior High's name?
MICHAEL RINAUDO