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OK... here are some materials about angles and their relationships when 2 lines are parallel.
The 8th grade standard has students learn all the vocabulary, which is the Ms. Clark style notes that I have linked below. Mostly the point is to use the fact that the lines are parallel to apply these rules so you can find other missing angles in the diagram. In 8th grade students also use some of these ideas to create equations when the angles in the diagrams have algebraic expressions instead of just numbers.
In IM1, you have to use these angle relationships (technically called properties) to PROVE that two lines are parallel. Proofs are a tricky thing. Essentially, every step of your thinking has to have a mathematical reason to make it actually true.
Like this:
10x + 5 + 2x = 29
10x + 2x + 5 = 29 (commutative property of addition)
12x + 5 = 29 (addition)
- 5 - 5 (subtraction property of equality - says that if you subtract the same amount from both sides, still equal)
12x = 24 (don't need a "reason" here because its just a line that shows I did the work I proved I could on the last line)
12x/12 = 24/12 (division property of equality)
x = 2
This was an example using an equation instead of geometry because you already understand equations. Watch some of the material below to understand what I mean more.
Here are my notes that I use in 8th grade to teach this vocabulary. It's really color coded. If you have access to print this at home, there are blank pages so you can print them and fill them in from the colored pages if you learn better by writing it yourself.
NOTES
Here are some Khan Academy videos about this:
Geometry Foundations - has 4 sections - you only NEED the Angles section
(Intro to Euclidean Geometry) If you need REVIEW on any of the basic geometry definitions, this will help with that. The first video is unnecessary for TNReady, but interesting! The fourth video called "Specifying planes in 3 dimensions" is a good visual if that didn't make sense when you did vocabulary last week.
(Angles) This is where the parallel lines stuff comes in.
The first four or five videos are probably more basic than you need.
You might want to watch "Vertical Angles" and "Complementary & Supplementary Angles" for review.
I DEFINITELY recommend watching the 3 videos that start with "Equation practice".
The last five videos are listed to the right. -->
I recommend reviewing with the four from Angles... to Measures of...
THE LAST VIDEO (Proving angles are congruent) IS IMPORTANT AND IM1 LEVEL!!!
Here is some eMathInstruction (videos from Kirk Weiler!) about this...
EMATHINSTRUCTION
You do NOT need a login for this. The worksheets and videos are free. You just can't access the answers. BUT - the video walks through the first two pages of the free worksheets, just like we did in class when we worked on these for correlation coefficients. The The link should take you straight to Geometry Unit 3 - Euclidean Triangle Proofs.
Lessons 1 and 2 explain proofs and how they work.
Lessons 6 and 7 explain and practice how to use the parallel lines properties to prove lines are parallel and vice versa.
Don't worry about the other lessons right now. Eventually you will get to some of that, but it will be done in a different order and make more sense I think.
I also created a DELTA MATH ASSIGNMENT you can work on, I called it IM1 Angles.. I just used the default of 5 problems with no penalties. You can always do more or less problems than that on each section depending on how much you understand and how much practice you feel you need. (Your username is your school email and your password is ac then the 7 digits of your lunch number)
Please remember, this is all OPTIONAL for you at this point. Whatever your math teacher is doing in class is what will be graded. If you choose to do any of this work, you will not receive credit in class for it. This is material that I, Ms. Clark, think will help you do better on the IM1 TNReady test. You can choose to do this or not.
OK... here are some materials about angles and their relationships when 2 lines are parallel.
The 8th grade standard has students learn all the vocabulary, which is the Ms. Clark style notes that I have linked below. Mostly the point is to use the fact that the lines are parallel to apply these rules so you can find other missing angles in the diagram. In 8th grade students also use some of these ideas to create equations when the angles in the diagrams have algebraic expressions instead of just numbers.
In IM1, you have to use these angle relationships (technically called properties) to PROVE that two lines are parallel. Proofs are a tricky thing. Essentially, every step of your thinking has to have a mathematical reason to make it actually true.
Like this:
10x + 5 + 2x = 29
10x + 2x + 5 = 29 (commutative property of addition)
12x + 5 = 29 (addition)
- 5 - 5 (subtraction property of equality - says that if you subtract the same amount from both sides, still equal)
12x = 24 (don't need a "reason" here because its just a line that shows I did the work I proved I could on the last line)
12x/12 = 24/12 (division property of equality)
x = 2
This was an example using an equation instead of geometry because you already understand equations. Watch some of the material below to understand what I mean more.
Here are my notes that I use in 8th grade to teach this vocabulary. It's really color coded. If you have access to print this at home, there are blank pages so you can print them and fill them in from the colored pages if you learn better by writing it yourself.
NOTES
Here are some Khan Academy videos about this:
Geometry Foundations - has 4 sections - you only NEED the Angles section
(Intro to Euclidean Geometry) If you need REVIEW on any of the basic geometry definitions, this will help with that. The first video is unnecessary for TNReady, but interesting! The fourth video called "Specifying planes in 3 dimensions" is a good visual if that didn't make sense when you did vocabulary last week.
(Angles) This is where the parallel lines stuff comes in.
The first four or five videos are probably more basic than you need.
You might want to watch "Vertical Angles" and "Complementary & Supplementary Angles" for review.
I DEFINITELY recommend watching the 3 videos that start with "Equation practice".
The last five videos are listed to the right. -->
I recommend reviewing with the four from Angles... to Measures of...
THE LAST VIDEO (Proving angles are congruent) IS IMPORTANT AND IM1 LEVEL!!!
Here is some eMathInstruction (videos from Kirk Weiler!) about this...
EMATHINSTRUCTION
You do NOT need a login for this. The worksheets and videos are free. You just can't access the answers. BUT - the video walks through the first two pages of the free worksheets, just like we did in class when we worked on these for correlation coefficients. The The link should take you straight to Geometry Unit 3 - Euclidean Triangle Proofs.
Lessons 1 and 2 explain proofs and how they work.
Lessons 6 and 7 explain and practice how to use the parallel lines properties to prove lines are parallel and vice versa.
Don't worry about the other lessons right now. Eventually you will get to some of that, but it will be done in a different order and make more sense I think.
I also created a DELTA MATH ASSIGNMENT you can work on, I called it IM1 Angles.. I just used the default of 5 problems with no penalties. You can always do more or less problems than that on each section depending on how much you understand and how much practice you feel you need. (Your username is your school email and your password is ac then the 7 digits of your lunch number)
Please remember, this is all OPTIONAL for you at this point. Whatever your math teacher is doing in class is what will be graded. If you choose to do any of this work, you will not receive credit in class for it. This is material that I, Ms. Clark, think will help you do better on the IM1 TNReady test. You can choose to do this or not.
Video for Notes 1 - Quartiles and Box Plots
Video for Notes 2 - Measures of Central Tendency
Video for Notes 3 - Variation within a Data Set Kirk says use Sx instead of Sigma. DO NOT DO WHAT HE DOES FOR THAT - please continue to use SIGMA (circle with tail at the top)
Video for Notes 2 - Measures of Central Tendency
Video for Notes 3 - Variation within a Data Set Kirk says use Sx instead of Sigma. DO NOT DO WHAT HE DOES FOR THAT - please continue to use SIGMA (circle with tail at the top)
1. Bellwork = Review Packet #62-70
(click this link for Monday 12/16 Bellwork form)
2. Answer #80 (from review packet) on orange index card, turn in to Ms. Clark.
3. Go to Delta Math and complete the "Functions Review!" assignment
4. Complete # 73 - 79 in the packet
(click this link to enter your answers)
5. Answer # 81 (from review packet) on green index card and turn in to Ms. Clark
6. Complete any yellow Delta Math assignments if you have them
7. CHOICES:
~ Go to Calculation Nation, log in (or create an account - use appropriate nickname). Play games against classmates!
~ Extensions on Delta Math.
(click this link for Monday 12/16 Bellwork form)
2. Answer #80 (from review packet) on orange index card, turn in to Ms. Clark.
3. Go to Delta Math and complete the "Functions Review!" assignment
4. Complete # 73 - 79 in the packet
(click this link to enter your answers)
5. Answer # 81 (from review packet) on green index card and turn in to Ms. Clark
6. Complete any yellow Delta Math assignments if you have them
7. CHOICES:
~ Go to Calculation Nation, log in (or create an account - use appropriate nickname). Play games against classmates!
~ Extensions on Delta Math.
The Equations Quiz will be Monday 11/18/2019. The problems and answers are linked below. Please prepare! Let me know over the weekend via email or Remind, or Monday morning, if you cannot figure out how to get the right answer on a problem!
EQUATIONS REVIEW PROBLEMS
EQUATIONS REVIEW ANSWERS
EQUATIONS REVIEW PROBLEMS
EQUATIONS REVIEW ANSWERS
Wednesday, 11/6/19
Equations Pre-Test
Equations Pre-Test
FRIDAY Practice Questions:
EOC Practice Questions SET #3 PDF
EOC Practice Questions SET #3 Answer Form
EOC Practice Questions SET #3 PDF
EOC Practice Questions SET #3 Answer Form
WEDNESDAY Practice Questions:
EOC Practice Questions SET #2 PDF
EOC Practice Questions SET #2 Answer Form
EOC Practice Questions SET #2 PDF
EOC Practice Questions SET #2 Answer Form
TUESDAY PRACTICE QUESTIONS:
EOC Practice Questions Set #1 PDF
EOC Practice Questions Set #1 Answer Form
EOC Practice Questions Set #1 PDF
EOC Practice Questions Set #1 Answer Form
Video for Packet 2: https://youtu.be/DRDPEXNP_1s
Video Notes for 1/22/19:
Graphically Representing Data Video (watch and take notes)
Quartiles and Box Plots Video (watch and take notes)
Stem and Leaf Plots Video 1 (just watch) NOT HW! Will watch in class tomorrow
Stem and Leaf Plots Video 2 (just watch)
Stem and Leaf Plots Video 3 (just watch)
Quartiles and Box Plots Video (watch and take notes)
Stem and Leaf Plots Video 1 (just watch) NOT HW! Will watch in class tomorrow
Stem and Leaf Plots Video 2 (just watch)
Stem and Leaf Plots Video 3 (just watch)
Tuesday Night 12/18/18 HW:
Do #34, 42-50, 53, 56, 57, 60, 62 in midterm review packet - answers given in class
Finish the graphing systems of linear inequalities - ANSWERS (coming soon)
Finish the "Last Midterm Review" worksheet - ANSWERS
Do #34, 42-50, 53, 56, 57, 60, 62 in midterm review packet - answers given in class
Finish the graphing systems of linear inequalities - ANSWERS (coming soon)
Finish the "Last Midterm Review" worksheet - ANSWERS
Click HERE for the 2018 Midterm Review page
***note: #63, the question should be "Which of these IS a function?"
***note: #63, the question should be "Which of these IS a function?"
Module 2 Topics 2 and 3 Unit Test REVIEW answers
Solutions to Equations Quiz, Inequality Quiz, and Systems Quiz
Solutions to Equations Quiz, Inequality Quiz, and Systems Quiz
WEEK OF 9/10/18 |
Classwork |
Homework |
Monday |
Activity 2.1 (Module 1 Topic 2) |
M1-108 |
Tuesday |
Activity 2.2 (Module 1 Topic 2 Lesson 2) Module 1 Topic 2 Lesson 3 |
M1-109 #9 - 12 M1-141 |
Wednesday |
WORK DAY! Write Recursive and Explicit Formulas on Graphic Organizers Practice Arithmetic and Geometric Sequences |
Finish Classwork (Skills Practice Packet) |
Thursday |
1/2 Day! (See all classes for shortened periods) Discuss Skills Practice Packet Graphing Arithmetic and Geometric Sequences |
Graph #1 and 3 |
Friday |
Arithmetic and Geometric Sequences Scavenger Hunt Review Arithmetic and Geometric Sequences (TEST MONDAY!!! Module 1 Topic 2!) |
Practice Test (SKIP #8, 9, 10) |