TCAP Review
Every input has one output! Bellwork: 3/22/18 *write your answer above day 1 box* What is a function? Every input has one output!
Functions not functions
Plot 5 points that create a function. How can you prove that your graph is a function?
Bellwork: Which number is rational? a.) 1.72635479….. c.) 𝟓𝟒 b.) 𝟑𝟔 𝒅.) 𝟑 𝟔𝟕
Rational Numbers Rational numbers are “normal”. They are whole numbers or numbers that can be written as a fraction. List 5 Different examples of RATIONAL numbers.
Compare your list with a neighbors Compare your list with a neighbors. Copy down ALL the examples they listed that you didn’t already have.
IRRATIONAL NUMBERS Irrational numbers are “crazy”. They do not end, therefore, cannot be written as fractions. List 5 different examples of IRRATIONAL numbers.
Compare your list with a neighbors Compare your list with a neighbors. Copy down ALL the examples they listed that you didn’t already have.
NUMBER ONE: Rational or Irrational? Explain! 5π²
NUMBER TWO: Rational or Irrational? Explain! √400_ 2
Number Three: Which is an irrational number? A. 5.5x10ᶾ B. √169 C. 16.212221221….. D. 6π_ 8π
NUMBER FOUR: Which statement is true? A. The number √99 is rational. B. The number -π is rational. C. The number -√225 is rational. D. The number 1.213561… is rational.
NUMBER FIVE: A. √16 B. (6.2x10³) C. ¼π D. 15² Which of the following is NOT a rational number? A. √16 B. (6.2x10³) C. ¼π D. 15²
Quizizz Time Block 2
Bellwork 3/27/18 1.) Which of the following is NOT rational? 16.3333333…… 14/7 19.2 𝟏𝟗𝟐 2.) Do these points represent a function? (1,2)(3,5)(7,15) 3.) What is the slope between these two points? ( 2, 8) and (-12, 6)
Finding Slope From 2 points: 𝒚−𝒚 𝒙−𝒙 From a Graph: 𝑹𝒊𝒔𝒆 𝑹𝒖𝒏 From a Table: Find the pattern OR Pick 2 points & do 𝒚−𝒚 𝒙−𝒙
1.) Find the slope between the points (-1, 0) and (4, 6)
2.) Find the slope of the table x y 3 -2 4 5 2 6
3.) Find the slope of the graph
How to find the y-intercept Points: Look for zero as the x value ex. (0, B) Graph: Look for where the line crosses the y-axis Table: same as points…look for (0, B)
Slope-Intercept form Equations Y= mx+b M= slope B= y-intercept
4.) Write a slope-intercept form equation for the graph.
5.) Which equation matches the table? x y -6 7 -3 14 21 3 a.) y= 𝟕 𝟑 x-6 c.) y= 𝟑 𝟕 x+14 b.) y= 𝟑 𝟕 x-6 d.) -6x + 14
6.) Write an equation to represent the points (1,2)(0,4)(-1,6)
Complete “your turn-day 3” on your packet.
Write an equation in slope-intercept form for the table: Minutes(x) Miles (y) 15 1.5 30 3.0 45 4.5 60 6.0
Scatter plot review
When it asks you to interpret….
Quizizz Time!
What is the solution to the system of equations shown? Bellwork 3/27/18 What is the solution to the system of equations shown? *This does not match the one on your paper!
Systems of equations solutions: 1 solution- (x,y) where the lines cross No solution – Parallel lines Infinitely many solutions- the lines/equations look the same.
1.) y= 2x+ 8 2.) 2x +y=12 y= 4 4x +2y=6 3.) y= -6x +10 y= 4x -8 Solve each system: 1.) y= 2x+ 8 2.) 2x +y=12 y= 4 4x +2y=6 3.) y= -6x +10 y= 4x -8
DISTANCE.RATE.TIME Distance: Miles, inches, feet, yards, meters, centimeters, kilometers Rate: Look for the word “per” Distance per Time Time: hours, minutes, seconds, years
THE MOST IMPORTANT THING! Make sure your units match!!!! If it gives miles per hour, make sure your time is in hours! If it says meters per second, make sure your distance is in meters and your time is in seconds.
1. Carrie skis downhill at an average speed of 840 meters per minute 1. Carrie skis downhill at an average speed of 840 meters per minute. About how many minutes will she take at this rate to ski 3,000 meters?
2. A jet airplane travels at a rate of 576 miles per hour 2. A jet airplane travels at a rate of 576 miles per hour. How far can the airplane travel in 9 days?
3. Randy ran for 30 minutes at a rate of 5. 5 mph 3. Randy ran for 30 minutes at a rate of 5.5 mph. Then he walked at a rate of 3.2 mph for 15 minutes. How far did he travel total?
4. Joe ran at 6 mph for 45 minutes and then walked at 2 4. Joe ran at 6 mph for 45 minutes and then walked at 2.9 mph for 30 minutes. How far did Joe travel?
5. A snail can travel at a rate of 2 centimeters per minute 5. A snail can travel at a rate of 2 centimeters per minute. If it continues at this rate, how far will the snail have traveled after 2 hours?
6. An inchworm can travel at a rate of 6 centimeters per minute 6. An inchworm can travel at a rate of 6 centimeters per minute. At this rate, how long will it take the inchworm to travel 10 meters?
Please sit with your group. Bellwork 3/29/18 Please sit with your group. Check the back board! 1) The speed of light is approximately 3 x 108 m/s. How far does light travel in 6.0 x 101 seconds?
Scientific Notation ALWAYS use parentheses around each set of numbers!
Write down all of the ADDING key words that you can think of.
Compare lists with your neighbor Compare lists with your neighbor. Write down any key phrases you may have forgotten.
List the Key word(s) & the answer. 1. There are 1.5x1030 ants on Earth and 5.36x1050 lady bugs on Earth. How many ants and lady bugs are there combined?
List the Key word(s) & the answer. 2. Blaine has 1.9x103 CDs in her collection and Kevin has 2.63x102 CDs in his collection. How many CDs do they have total?
List the Key word(s) & the answer. 3. Patty has 2.98x103 dollars in her account and Tim has 3.12x104 dollars in his account. How much money do they have all together?
4. What is the sum of 7.6x10-12 and 9.44x10-5
List as many SUBTRACTING key words or phrases as you can think of.
Compare lists with your neighbor Compare lists with your neighbor. Write down any key phrases you may have forgotten.
Write the key phrase and the answer. 1. Amtech gave a quote of 6.7x105 and TechCore gave a quote of 8.33x103. What is the difference of the two quotes?
Write the key phrase and the answer. 2. Earth’s mass is 6.18×1024 kilograms. The mass of the Sun is1.99×1030 kilograms. How much greater is the mass of the Sun than the mass of the Earth?
*We are on day 5 in your review packet* Bellwork 4/2/18 Simplify: (4 𝒙 𝟑 𝒚 𝟒 ) (-2 𝒙 𝟐 y) *We are on day 5 in your review packet*
Exponent Rules Product Rule- Multiply Big, Add exponents Ex. ) (3x 𝒚 𝟒 ) (2 𝒙 𝟕 𝒚)
Quotient Rule Divide big, Subtract Exponents Ex. 𝟗 𝒙 𝟖 𝟑 𝒙 𝟑
Powers Rule Think “wink & smile” MULTIPLY EXPONENTS Ex. ) (5 𝒙 𝟔 ) 𝟐
Ex.) 2 𝒙 −𝟐 Negative Exponents Cross Fraction line & change sign *only the base with the negative exponent goes to the bottom. Everything else stays on top!
ANYTHING (NUMBER OR VARIABLE) TO THE POWER OF ZERO EQUALS 1. Zero Rule ANYTHING (NUMBER OR VARIABLE) TO THE POWER OF ZERO EQUALS 1.
Bellwork 4/3/18 1.) (3x 𝒚 𝟒 ) (2 𝒙 𝟕 𝒚) 2.) 𝟗 𝒙 𝟖 𝟑 𝒙 𝟑 3.) (5 𝒙 𝟔 ) 𝟐
Day 6 - Review Step 1: circle terms with variables Step 2: cancel the variable on the right of the = by doing the opposite to both sides of the = Step 3: Solve the 2 step equation. + or – then ÷ 2x + 8 = 4x -6
**Distribute First!** Step 1: circle terms with variables Step 2: cancel the variable on the right of the = by doing the opposite to both sides of the = Step 3: Solve the 2 step equation. + or – then ÷ 2(3x+4) = 4(x+2)
Your turn: 2(x+2) = 2(3x -4)
Your turn: What coefficient of x would make this equation have no solution? 3x + 6 = a(x+4)
Day 7
Day 8-Approximating irrational numbers without a calculator These examples are NOT on your packet! 𝟏𝟎𝟏 𝟐 𝟏 𝟐 𝟔𝟖 π 𝟐 +𝟒
These are on your paper… 2 12 π 2 112 3
Let’s practice a couple more… 𝟏 𝟒 𝟐𝟎 π 𝟐 - 2 3+ 𝟏𝟕 𝟐
Match each real number to the closest approximation given 3.5 6.25 4.97 7.9 ½ 𝟗𝟗 𝟓𝟎 𝟐 𝝅 𝟐 - 2
Station Time. Work together to complete your station assignment. When complete, go get your folder & work on your IXL levels. I will be coming round to check your work from the whole week.
Bellwork 4/6/18 *not on packet* 1.) Solve for x: 2(-3x+8) = -6x +4 2.) Angles 4 & 5 are supplementary. If angle 4 = 67 degrees, what is the measure of angle 5? 3.) Simplify: ( 𝟐𝒙 𝟑 𝒚 −𝟐 )2
Pythagorean Theorem A²+B²=C² (always add on a graph) OR C²-B²=A²
Find the hypotenuse 26in 42in.
What is the width of the flag?
Jody is building a square table with a length & width of 5 feet Jody is building a square table with a length & width of 5 feet. What is the diagonal length of the table from corner to corner?
Lonnie walks 3 km north and 2 km east to get to Juan’s house on Elm st Lonnie walks 3 km north and 2 km east to get to Juan’s house on Elm st. How far will he walk if he walks diagonally through the park to get back home?
Find the length of side n
What is the diagonal distance from R to P?
Joann’s has 3 fabric options Joann’s has 3 fabric options. Which option offers fabric at the lowest unit price per yard? A. 6 yards for $15.79 B. Buy 3 get 1 free for $9.99 C. $2.99 per yard D. 8 yards for $24.89
Lon drove 600 miles at a rate of 55 miles per hour Lon drove 600 miles at a rate of 55 miles per hour. How many hours did it take him?
Which set of ordered pairs satisfies the function f(x)= 4x-8 B. (0,-8)(1,-4)(3,4)(4,8) C. (0,-8)(-1,-12)(3,4)(7,5) D. (0,-8)(4,-7)(8,-6)(12,-6)
If f(8) what is f(x)= 4x+2x²-10 2
Kam swam 800meters at a rate of 6 cm per second Kam swam 800meters at a rate of 6 cm per second. How long did it take him?
Solve for x F(x)=2x+2 2 g(x)= 8x+8 -2
Put these in order Greatest to Least 4% 2.1² 4¾ √16.5
When x=4, what is y?
Solve the following system of equations: Y=-2(8x-2) Y=6(-2x+2)
What is the value of y when x= -4
The speed of sound is about 343 meters per second The speed of sound is about 343 meters per second. What is the total amount of time it will take a sound wave to travel 5 kilometers?
Find the missing angle measurement. X 70º
What is the perimeter of the triangle?
If angles 1 and 3 are vertical, do they have the same angle measurement? YES NO
What’s the y-intercept of the following equation? 13x-26y=52
Write the equation:
The speed of a jet is 300 miles per hour. If it flies for 1 The speed of a jet is 300 miles per hour. If it flies for 1.5 days, how far will it travel?