Ryuto's Learning
Summer Topics
Other Topics in Algebra 2:
Trigonometry Complex numbers Sequences and series Rational equations Absolute value equations Radians 
Vocabulary

Homework
August 16
Completing the square (try #10 and 15)
cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Equations%20By%20Completing%20the%20Square.pdf
Systems of equations (try #17 and 18)
cdn.kutasoftware.com/Worksheets/Alg2/Systems%20of%20Two%20Equations.pdf
Special right triangles (try #3, 5, 7, 8)
Hint: You will need to find the length of the common side of the two triangles first using the special right triangle ratios for 454590 and 306090 triangles.
cdn.kutasoftware.com/Worksheets/Geo/8MultiStep%20Special%20Right%20Triangles.pdf
Completing the square (try #10 and 15)
cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Equations%20By%20Completing%20the%20Square.pdf
Systems of equations (try #17 and 18)
cdn.kutasoftware.com/Worksheets/Alg2/Systems%20of%20Two%20Equations.pdf
Special right triangles (try #3, 5, 7, 8)
Hint: You will need to find the length of the common side of the two triangles first using the special right triangle ratios for 454590 and 306090 triangles.
cdn.kutasoftware.com/Worksheets/Geo/8MultiStep%20Special%20Right%20Triangles.pdf
August 15
Here is a PDF for today's assessment. If you really get stuck on a problem, just skip it and we will review the concepts tomorrow.
Here is a PDF for today's assessment. If you really get stuck on a problem, just skip it and we will review the concepts tomorrow.
ryuto_assessment_81518.pdf  
File Size:  214 kb 
File Type: 
August 14
Print out and practice the second page until you can write out all the answers in less than 2 minutes
www.emathacademy.com/satmathformulas.html
Combined rates
cdn.kutasoftware.com/Worksheets/Alg1/Work%20Word%20Problems.pdf
Print out and practice the second page until you can write out all the answers in less than 2 minutes
www.emathacademy.com/satmathformulas.html
Combined rates
cdn.kutasoftware.com/Worksheets/Alg1/Work%20Word%20Problems.pdf
August 13
Graphing systems of linear inequalities (try #2, 4, 6, 8. 10, 12)
cdn.kutasoftware.com/Worksheets/Alg2/Systems%20of%20Inequalities.pdf
Review of linear equations (try all odd problems)
Hints:
Intro to trigonometry video (we'll discuss this more later)
www.youtube.com/watch?v=VRz2d5yedsg&t=183s
Graphing systems of linear inequalities (try #2, 4, 6, 8. 10, 12)
cdn.kutasoftware.com/Worksheets/Alg2/Systems%20of%20Inequalities.pdf
Review of linear equations (try all odd problems)
Hints:
 For questions 15, turn the equations into y = mx + b form by getting y by itself.
 For #713, standard form is Ax + By = C
 For 1521: first identify or find the slope of each equation. Then plug in y, m, and x into y = mx+b to find what b is. Lastly, convert it into standard form, which is Ax + By = C.
 Some of these skills are new, so try them the best you can on your own, and if you have a lot of trouble, we can look at them together during the next lesson.
Intro to trigonometry video (we'll discuss this more later)
www.youtube.com/watch?v=VRz2d5yedsg&t=183s
August 12
Do this yet again (It'll be really good to be automatic with these formulas!)  Quadratics formulas (print out and fill in page 2 of the PDF on the link)
www.emathacademy.com/satmathformulas.html
Pythagorean Theorem Worksheet
Do this yet again (It'll be really good to be automatic with these formulas!)  Quadratics formulas (print out and fill in page 2 of the PDF on the link)
www.emathacademy.com/satmathformulas.html
Pythagorean Theorem Worksheet
pythagoren_theorem_problems.pdf  
File Size:  116 kb 
File Type: 
Introduction to radians video
www.youtube.com/watch?v=cgPYLJs5II
www.youtube.com/watch?v=cgPYLJs5II
August 11
Do this again  Quadratics formulas (print out page 2 of the PDF on the link, fold back on the dotted line, fill out each part and check your answers)
www.emathacademy.com/satmathformulas.html
Circles, circumference, and areas video
www.youtube.com/watch?v=OcawByg2aA
Circles Worksheet
Hint: use the formulas below if needed to help answer the questions (this should be review from your math classes)
Do this again  Quadratics formulas (print out page 2 of the PDF on the link, fold back on the dotted line, fill out each part and check your answers)
www.emathacademy.com/satmathformulas.html
Circles, circumference, and areas video
www.youtube.com/watch?v=OcawByg2aA
Circles Worksheet
Hint: use the formulas below if needed to help answer the questions (this should be review from your math classes)
 C=2πr
 C=πd
 d=2r
 A=πr^2
August 10
Graphing factored form video
www.youtube.com/watch?v=EV57jv7JKCs
Graphing factored form (try problems #13 to 20 on page 1 and 2)
Hint:
Quadratics formulas (print out page 2 of the PDF on the link, fold back on the dotted line, fill out each part and check your answers)
www.emathacademy.com/satmathformulas.html
Graphing factored form video
www.youtube.com/watch?v=EV57jv7JKCs
Graphing factored form (try problems #13 to 20 on page 1 and 2)
Hint:
 xintercepts are when y = 0 and x = p or q
 x value of vertex: (p+q)/2
 min/max value means what is the height at the vertex
 yintercept is when x = 0
Quadratics formulas (print out page 2 of the PDF on the link, fold back on the dotted line, fill out each part and check your answers)
www.emathacademy.com/satmathformulas.html
August 9
Write the equation for the parabola in vertex form (Do the Protect the Castle worksheet)
There is also a video that shows the answers on the link, but try the questions on your own first and watch the video to check your answers.
www.emathacademy.com/mathworksheets.html
Graphing the vertex form
Hint: the way to find the xintercepts is to solve for x by using the reverse order of PEMDAS for 0 = a(xh)^2 + k. (Subtract k first, etc.)
Write the equation for the parabola in vertex form (Do the Protect the Castle worksheet)
There is also a video that shows the answers on the link, but try the questions on your own first and watch the video to check your answers.
www.emathacademy.com/mathworksheets.html
Graphing the vertex form
Hint: the way to find the xintercepts is to solve for x by using the reverse order of PEMDAS for 0 = a(xh)^2 + k. (Subtract k first, etc.)
vertex_form_hw.pdf  
File Size:  46 kb 
File Type: 
August 8
This is an assessment on about half of the concepts we have looked at. I will post the other half on a different day. Do all the problems on your own and without a calculator. Do your best and if you don't know how to answer a question after giving it a good try, just move on to the next problem.
This is an assessment on about half of the concepts we have looked at. I will post the other half on a different day. Do all the problems on your own and without a calculator. Do your best and if you don't know how to answer a question after giving it a good try, just move on to the next problem.
ryuto_assessment_8818.pdf  
File Size:  97 kb 
File Type: 
August 7
Simplifying radicals video
www.youtube.com/watch?v=yTnovf2jjlE
Simplifying radicals with variables video
www.youtube.com/watch?v=yHFYs_NQS4M
Simplifying radicals with variables video (another example)
www.youtube.com/watch?v=F8wr7BXrPkM
Simplifying radicals worksheet (try problems #1, 2, 7, 8, 9, 10, 11, 12, 13, 14, 20, 25)
cdn.kutasoftware.com/Worksheets/Alg1/Simplifying%20Radicals.pdf
Simplifying radicals video
www.youtube.com/watch?v=yTnovf2jjlE
Simplifying radicals with variables video
www.youtube.com/watch?v=yHFYs_NQS4M
Simplifying radicals with variables video (another example)
www.youtube.com/watch?v=F8wr7BXrPkM
Simplifying radicals worksheet (try problems #1, 2, 7, 8, 9, 10, 11, 12, 13, 14, 20, 25)
cdn.kutasoftware.com/Worksheets/Alg1/Simplifying%20Radicals.pdf
August 6
Mixture problems video example 1 www.youtube.com/watch?v=cxxdTshrM3k Mixture problems video example 2 www.youtube.com/watch?v=9nQmEQk09ko Mixture problems worksheet Hint: Use the table to the right to help set up the problems. The video links above used the same process, but set up the problems in just a slightly different way. The math was the same, though. cdn.kutasoftware.com/Worksheets/Alg1/Mixture%20Word%20Problems.pdf 
Day 1
Intro to the vertex form of quadratics video
www.youtube.com/watch?v=_QqhuLixNEk
Graphing the vertex form of a quadratic video
www.youtube.com/watch?v=7QMoNY6FzvM
Vertex form of quadratics (try problems #15, 17, 19)
cdn.kutasoftware.com/Worksheets/Alg2/Vertex%20Form%20of%20Parabolas.pdf
Systems of equations (try #7, 8, 9, 10)
cdn.kutasoftware.com/Worksheets/Alg1/Systems%20of%20Equations%20Word%20Problems.pdf
Intro to the vertex form of quadratics video
www.youtube.com/watch?v=_QqhuLixNEk
Graphing the vertex form of a quadratic video
www.youtube.com/watch?v=7QMoNY6FzvM
Vertex form of quadratics (try problems #15, 17, 19)
cdn.kutasoftware.com/Worksheets/Alg2/Vertex%20Form%20of%20Parabolas.pdf
Systems of equations (try #7, 8, 9, 10)
cdn.kutasoftware.com/Worksheets/Alg1/Systems%20of%20Equations%20Word%20Problems.pdf
Day 2
Special right triangle video
www.youtube.com/watch?v=nVTtSE5nv7c
Special right triangles (page 1 only)
Hint: remember the ratios for a 306090 triangle is x : x√3 : 2x (small leg : longer leg : hypotenuse)
and for a 454590 triangle is is x : x : x√2
cdn.kutasoftware.com/Worksheets/Geo/8Special%20Right%20Triangles.pdf
Graphing the vertex form of a quadratic (try problems #16, 18, 20)
cdn.kutasoftware.com/Worksheets/Alg2/Vertex%20Form%20of%20Parabolas.pdf
More with quadratics (try #12, 14, 15, 17)
cdn.kutasoftware.com/Worksheets/Alg2/Properties%20of%20Parabolas.pdf
Special right triangle video
www.youtube.com/watch?v=nVTtSE5nv7c
Special right triangles (page 1 only)
Hint: remember the ratios for a 306090 triangle is x : x√3 : 2x (small leg : longer leg : hypotenuse)
and for a 454590 triangle is is x : x : x√2
cdn.kutasoftware.com/Worksheets/Geo/8Special%20Right%20Triangles.pdf
Graphing the vertex form of a quadratic (try problems #16, 18, 20)
cdn.kutasoftware.com/Worksheets/Alg2/Vertex%20Form%20of%20Parabolas.pdf
More with quadratics (try #12, 14, 15, 17)
cdn.kutasoftware.com/Worksheets/Alg2/Properties%20of%20Parabolas.pdf
Day 3
Distance Rate Time problems (try all odd problems)
cdn.kutasoftware.com/Worksheets/Alg2/Distance%20Rate%20Time%20Word%20Problems.pdf
Completing the Square (try problems #2, 4, 6, 7, 16)
cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Equations%20By%20Completing%20the%20Square.pdf
Distance Rate Time problems (try all odd problems)
cdn.kutasoftware.com/Worksheets/Alg2/Distance%20Rate%20Time%20Word%20Problems.pdf
Completing the Square (try problems #2, 4, 6, 7, 16)
cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Equations%20By%20Completing%20the%20Square.pdf
Day 4
Solving linear inequalities video
www.youtube.com/watch?v=0XbMeIN53I
Solving linear inequalities (try problems #1, 3, 5, 7, 9, 11)
cdn.kutasoftware.com/Worksheets/Alg1/MultiStep%20Inequalities.pdf
Properties of Parabolas (try problems #8, 10, 12, 14)
cdn.kutasoftware.com/Worksheets/Alg2/Properties%20of%20Parabolas.pdf
Solving linear inequalities video
www.youtube.com/watch?v=0XbMeIN53I
Solving linear inequalities (try problems #1, 3, 5, 7, 9, 11)
cdn.kutasoftware.com/Worksheets/Alg1/MultiStep%20Inequalities.pdf
Properties of Parabolas (try problems #8, 10, 12, 14)
cdn.kutasoftware.com/Worksheets/Alg2/Properties%20of%20Parabolas.pdf
July 30
Pythagorean Theorem Calculations
pleasanton.k12.ca.us/avhsweb/kiyoi/Algebra_Powerpoints/Pythagorean_Theorem.pdf
Pythagorean Theorem Word Problems (Answers are on the link below)
There are 4 problems on the first page. Press "Next" to access the last 4 problems. Please do all 8 problems.
betterlesson.com/lesson/resource/2998807/pythagoreantheoremwordproblemspdf
Answers to the Questions Above
betterlesson.com/lesson/resource/2999040/keypythagoreantheoremwordproblemspdf
Pythagorean Theorem Calculations
pleasanton.k12.ca.us/avhsweb/kiyoi/Algebra_Powerpoints/Pythagorean_Theorem.pdf
Pythagorean Theorem Word Problems (Answers are on the link below)
There are 4 problems on the first page. Press "Next" to access the last 4 problems. Please do all 8 problems.
betterlesson.com/lesson/resource/2998807/pythagoreantheoremwordproblemspdf
Answers to the Questions Above
betterlesson.com/lesson/resource/2999040/keypythagoreantheoremwordproblemspdf
July 26
Mixture Problems (problems #1, 2, 5, 6, 7, 9, 11, 12)
https://cdn.kutasoftware.com/Worksheets/Alg2/Mixture%20Word%20Problems.pdf
Solving Quadratics by Factoring (#1, 3, 5, 7, 9, 17)
cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Equations%20By%20Factoring.pdf
Watch a proof of the Pythagorean Theorem
https://www.youtube.com/watch?v=r382kfkqAF4
Mixture Problems (problems #1, 2, 5, 6, 7, 9, 11, 12)
https://cdn.kutasoftware.com/Worksheets/Alg2/Mixture%20Word%20Problems.pdf
Solving Quadratics by Factoring (#1, 3, 5, 7, 9, 17)
cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Equations%20By%20Factoring.pdf
Watch a proof of the Pythagorean Theorem
https://www.youtube.com/watch?v=r382kfkqAF4
July 24
Solving by completing the square (Problems #1, 3, 5, 8, 10, 15, 17)
https://cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Equations%20By%20Completing%20the%20Square.pdf
Practice proving the quadratic formula by completing the square (make sure you can do it in less than 3 minutes)
Review: Systems of Equations
http://imathworksheets.com/equationworksheets/systemwordproblems1.pdf
Answers for the worksheet above can be found here (click on "View Answers" for worksheet 1):
http://imathworksheets.com/algebraworksheetspage/systemsofequations/elimination/wordproblems/
Solving by completing the square (Problems #1, 3, 5, 8, 10, 15, 17)
https://cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Equations%20By%20Completing%20the%20Square.pdf
Practice proving the quadratic formula by completing the square (make sure you can do it in less than 3 minutes)
Review: Systems of Equations
http://imathworksheets.com/equationworksheets/systemwordproblems1.pdf
Answers for the worksheet above can be found here (click on "View Answers" for worksheet 1):
http://imathworksheets.com/algebraworksheetspage/systemsofequations/elimination/wordproblems/
July 23
Watch the video on how to solve distance  rate  time problems
https://www.youtube.com/watch?v=yCSAcjXO4tU
Distance Rate Time Problems (#7, 10)
https://cdn.kutasoftware.com/Worksheets/Alg1/Distance%20Rate%20Time%20Word%20Problems.pdf
Solving using the Quadratic Formula (#15 and 16)
Hint: If all the terms aren't all on one side, move them to one side so it is equal to 0 first.
https://cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Formula.pdf
Properties of Parabolas (Page #9, 11, 13 only)
https://cdn.kutasoftware.com/Worksheets/Alg2/Properties%20of%20Parabolas.pdf
Video on Galileo's discoveries of gravity's law (only watch from 27:00 until 33:40, but you can watch more if you want)
https://www.youtube.com/watch?v=8mve0UoSxTo
Watch the video on how to solve distance  rate  time problems
https://www.youtube.com/watch?v=yCSAcjXO4tU
Distance Rate Time Problems (#7, 10)
https://cdn.kutasoftware.com/Worksheets/Alg1/Distance%20Rate%20Time%20Word%20Problems.pdf
Solving using the Quadratic Formula (#15 and 16)
Hint: If all the terms aren't all on one side, move them to one side so it is equal to 0 first.
https://cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Formula.pdf
Properties of Parabolas (Page #9, 11, 13 only)
https://cdn.kutasoftware.com/Worksheets/Alg2/Properties%20of%20Parabolas.pdf
Video on Galileo's discoveries of gravity's law (only watch from 27:00 until 33:40, but you can watch more if you want)
https://www.youtube.com/watch?v=8mve0UoSxTo
July 20 (weekend homework)
Properties of Parabolas (Page 1 only)
https://cdn.kutasoftware.com/Worksheets/Alg2/Properties%20of%20Parabolas.pdf
Watch the video on how to solve distance  rate  time problems
https://www.youtube.com/watch?v=yCSAcjXO4tU
Distance Rate Time Problems (# 2, 3, 5, 8, 9, 10)
https://cdn.kutasoftware.com/Worksheets/Alg1/Distance%20Rate%20Time%20Word%20Problems.pdf
Video on Galileo's discoveries of gravity's law (only watch from 27:00 until 33:40, but you can watch more if you want)
https://www.youtube.com/watch?v=8mve0UoSxTo
Solving using the Quadratic Formula (#1, 3, 7, 13, 15)
Hint: If all the terms aren't all on one side, move them to one side so it is equal to 0 first.
https://cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Formula.pdf
Factoring Trinomials (#9, 11, 13, 15, 17)
https://cdn.kutasoftware.com/Worksheets/Alg1/Factoring%202.pdf
Properties of Parabolas (Page 1 only)
https://cdn.kutasoftware.com/Worksheets/Alg2/Properties%20of%20Parabolas.pdf
Watch the video on how to solve distance  rate  time problems
https://www.youtube.com/watch?v=yCSAcjXO4tU
Distance Rate Time Problems (# 2, 3, 5, 8, 9, 10)
https://cdn.kutasoftware.com/Worksheets/Alg1/Distance%20Rate%20Time%20Word%20Problems.pdf
Video on Galileo's discoveries of gravity's law (only watch from 27:00 until 33:40, but you can watch more if you want)
https://www.youtube.com/watch?v=8mve0UoSxTo
Solving using the Quadratic Formula (#1, 3, 7, 13, 15)
Hint: If all the terms aren't all on one side, move them to one side so it is equal to 0 first.
https://cdn.kutasoftware.com/Worksheets/Alg2/Quadratic%20Formula.pdf
Factoring Trinomials (#9, 11, 13, 15, 17)
https://cdn.kutasoftware.com/Worksheets/Alg1/Factoring%202.pdf
July 19
Properties of Parabolas (Page 1 only)
https://cdn.kutasoftware.com/Worksheets/Alg2/Properties%20of%20Parabolas.pdf
Factoring Trinomials (Even problems only)
https://cdn.kutasoftware.com/Worksheets/Alg1/Factoring%202.pdf
Properties of Parabolas (Page 1 only)
https://cdn.kutasoftware.com/Worksheets/Alg2/Properties%20of%20Parabolas.pdf
Factoring Trinomials (Even problems only)
https://cdn.kutasoftware.com/Worksheets/Alg1/Factoring%202.pdf