Math Department #3

Hello everyone,

You will find various enrichment activities on the following pages. The pages are ordered alphabetical by teacher. I hope you are all staying healthy and safe while the school is closed. Please remember that we are just an email away and look forward in aiding anyway we can. Thanks.

Mr. BloomAbove all, please know that you can email me or contact me through Band App for help or explanation anytime.

Trigonometry Please view the following short video to find out some easy techniques to remember the Trig topics we explored this year. https://youtu.be/jI81WXyFrL0

Also, https://youtu.be/cIVpemcoAlY

Feel free to send me a short email or video through Band telling us which was more helpful.

Pre CalculusHere are a couple videos showing life applications to derivatives. https://youtu.be/DNmO-HXLMTk and https://youtu.be/4fqVT-DfpGg . Please send me a little video through band what you think about the videos. Did you consider any of these applications to the topic?

Statistics Here is a video that shows how statistics drives almost all aspects of life. https://youtu.be/HUThHJ6E3rY Please email or send a short video through band and let me know if you thought about how stats played a role in the things around us all.

AP CalculusThe following links are some sample responses to the open ended questions from last week.

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Question 1 Question 2 Question 3 Question 4

Question 5 Question 6

Mrs. Bollinger

4/20/20 Measuring angles and segmentsVideo- https://www.youtube.com/watch?v=y-O_B-wWivQTask- https://www.khanacademy.org/math/geometry-home/geometry-lines/basic-geo-measuring-segments/e/measuring_segments

4/21/20 Measuring angles and segmentsExplanation & Video- https://www.mathplanet.com/education/geometry/points,-lines,-planes-and-angles/measure-line-segmentsTask- https://www.ixl.com/math/geometry/lengths-of-segments-on-number-lines

4/22/20 Measuring angles and segmentsVideo- https://www.youtube.com/watch?v=92aLiyeQj0wTask- https://www.khanacademy.org/math/basic-geo/basic-geo-angle/measure-angles/e/measuring_angles

4/23/20 Measuring angles and segmentsTask- https://www.transum.org/software/SW/Starter_of_the_day/Students/Measuring_Angles.aspComplete Level 1, then challenge yourself, try level 2! (Hold the shift key to rotate the protractor)

4/24/20 Measuring angles and segmentsTask- https://www.transum.org/software/SW/Starter_of_the_day/Students/Measuring_Angles.aspComplete Level 3. (Hold the shift key to rotate the protractor)

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Mr. LuskMr. Lusk

Applied Geometry - Enrichment Week 3

This week for Enrichment I want you to look at polygons, especially triangles and Quadrilaterals. The following link will take you to the Kahn Academy website. You will have to copy the link and paste it in your browser bar.

https://www.khanacademy.org/math/geometry/hs-geo-foundations#hs-geo-polygons

Skip the first two sections on Euclidean Geometry and Angles. Go to the section labeled polygons. I provided a time frame below to help guide you through the week but you can do as much as you want at any time you want. Just so you get it done.

Day 1 Watch the videos on Angles in a Triangle

sum to 180 proof Triangle Exterior

angle example Work Example:

Triangle angles – intersecting lines.

Do the practice problems Finding angle

measure between intersecting lines.

Day 2 Watch the videos on Work example:

Triangle Angles – Diagram

Triangle angle challenge problem 2

Do the practice problems Finding angle

measure using triangles.

Day 3 Watch the videos on Sum of interior

angles of a polygon Sum of the exterior

angles of a polygon Triangle inequality

theorem

Do the practice problems Angles of a polygon Triangle side length

rules.

Day 4 Watch the videos on Intro to

Quadrilaterals Quadrilateral

Properties Kites as a Geometric

Shape Quadrilateral types

Do the practice problems Quadrilateral Types

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Day 5 Watch the videos on Proof: Opposite Sides

of a Parallelogram Proof: Opposite

Angles of a Parallelogram

Do the practice problems Quadrilateral Angles

If for some reason you cannot access the Kahn Academy website please let me know asap by emailing me at clusk@swasd.org .

If you cannot do the Kahn Academy I have some comparable worksheets on the following pages for you to practice. You only need to do these worksheets if you cannot access the Kahn Academy work. If for whatever reason you can’t print the worksheets it’s not a big deal. Just do the work on a separate piece of paper from your computer.

Worksheet 1 – 4.2 Study Guide and Intervention Angle sums in triangles – Answer Key included.

Worksheet 2 – 5.5 – Study guide and Intervention Triangle inequality theorem – answer key included.

Worksheet 3 – 6.1 Skills practice Polygon angles – Answer key included.

Worksheet 4 – Classifying Quadrilaterals – Answer Key included.

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Mr. Lusk

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Geometry

Enrichment Week 3 – Angles

This week for Enrichment I want you to review angles and different angle relationships. The following link will take to the Kahn Academy website. You may have to copy the link and paste it in your browser bar.

https://www.khanacademy.org/math/geometry/hs-geo-foundations

Skip the first section on Euclidean Geometry. I want you to just do the section titled Angles. I provided a time frame below to help guide you through the week but you can do as much as you want at any time you want. Just so you get it done.

Day 1 Watch the videos on Measuring angles in

degrees Measuring using a

protractor Measuring using a

protractor 2 Acute, Right and

Obtuse angles Vertical Angles

Do the practice problems Measuring angles Angle types Vertical angles

Day 2 Watch the videos on Equation practice

with Vertical angles.

Do the practice problems Equation practice

with vertical anglesDay 3 Watch the videos on

Complementary and Supplementary angles

Equation practice with complementary angles

Equation practice with supplementary angles.

Do the practice problems Complementary &

Supplementary Angles

Day 4 Watch the videos on Angles, parallel lines

and transversals Parallel &

Perpendicular lines Missing angles with a

transversal

Do the practice problems Equation Practice

with angle addition. Angle relationships

with parallel lines

Day 5 Watch the videos on Measures of angles

formed by a transversal

Proving angles are

Do the practice problems Equation practice

with angles.

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congruent

If for some reason you cannot access the Kahn Academy website please let me know asap by emailing me at clusk@swasd.org .

If you cannot do the Kahn Academy I have some comparable worksheets on the following pages for you to practice.

Worksheet 1 – Classifying Angles – No answer Key provided.

Worksheet 2 – Angle pair relationships – Answer key included.

Worksheet 3 – Parallel Lines and Transversals – Answer Key provided.

Worksheet 4 – Proving lines Parallel – Answer Key provided.

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Mr. Lusk

Advanced Algebra 2

Enrichment Week 3 – Dividing polynomials

This week for Enrichment I want you to work on factoring. The following links will take to the Kahn Academy website.

For the first 4 days everything can be found at this link.

https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div

The fifth day you will need this link for synthetic division.

https://www.khanacademy.org/math/algebra-home/alg-polynomials/alg-synthetic-division-of-polynomials

I provided a time frame below to help guide you through the week but you can do as much as you want at any time you want. Just so you get it done.

Day 1 Watch the videos on Dividing polynomials

by x – 3 videos

Do the practice problems Divide polynomials

by x – no remainder Divide polynomials

by x with remainder.Day 2 Watch the videos on

Dividing quadratics by linear factors – 4 videos

Do the practice problems Dividing quadratics

by linear expressions no remainder

Dividing quadratics by linear expressions with remainder

Day 3 Watch the videos on Dividing polynomials

by linear factors. – 4 videos

Do the practice problems Divide polynomials

by linear expressions Factoring using

polynomial division.Day 4 Watch the videos on

Polynomial Remainder Theorem – 6 videos

Do the practice problems Remainder Theorem Remainder Theorem

and factors. Day 5 Watch the video on

Synthetic division of polynomials

Remember there is a separate link for this material. You will have to scroll down to find the section titles synthetic division.

Do the practice problems Divide polynomials

with linear expressions

Divide polynomials with remainders.

(These are under the next section down titles practicing dividing

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polynomials with remainders.)

If for some reason you cannot access the Kahn Academy website please let me know asap by emailing me at clusk@swasd.org or message me through MS Teams.

If you cannot do the Kahn Academy I have some comparable worksheets on the following pages for you to practice.

Worksheet 1 – Study guide and intervention 5.2 Dividing polynomials. – Answer Key included

Worksheet 2 – Practice 5.2 – Dividing Polynomials – Answer Key included.

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Mrs. McGeeFOR ALL OF MY MATH CLASSES:

Hello everyone! I hope the Easter Bunny made it to your house! I am thinking out of the box for this week’s enrichment activity. You know that age old question, “WHEN WILL WE EVER USE THIS?” Well that’s what I want you to look at this week. I want you to think of a CAREER that you are interested in and explore how math is used in that field! I would like to see what you find! Here are some ways you could do that, you can

Write me and tell me what you found do what I did in my example and put interesting links in a word document make a video come up with any other creative options… or just take some time and investigate

My example: You know I am a water person (aka Dory) so if I had a 2nd chance to pick a dream job I would work with dolphins!! That means I would have to go to school to be a marine biologist. I have been on many dolphin/whale watches over my life and they have been incredible! I even had a chance to swim with dolphins! The best adventure ever was in Hawaii where we saw spinner dolphins, they are amazing! Check out my first link and see how they jump and spin out of the water!!! You really need to see how cool they are, really watch it! The rest if my links are things that I have found about math in the marine biology field and some things about dolphin’s intelligence. Check them all out and then start looking for a career you could see yourself doing …

https://www.youtube.com/watch?v=IDpyBSb-aJQ

WATCH THIS even if you don’t do anything else!! Why do spinner dolphins spin? An awesome video to get you excited about dolphins! We saw about 100 of these dolphins in Hawaii!!

https://education.seattlepi.com/type-math-used-marine-biology-6785.html

This is a word document that talks about needing algebra, trigonometry, calculus and statistics to be a marine biologist!

https://www.reference.com/science/marine-biologists-use-math-work-6bb1c5f5a42c2cb1

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How do marine biologists use math in their work? A short word document.

https://www.youtube.com/watch?v=YMGH9Ohk11g

Why is math important in marine biology? A video of a teacher giving some practical examples.

https://www.youtube.com/watch?v=A226SlCQQsA

Dolphin Research Center - Dolphins Can do Math!

This is a video that looks at experiments set up with dolphins to test their math skills. It is also a great look into how real world data tests are set up. It shows the experiment set up including how the people running the tests don’t see the questions so they don’t give the dolphins cues…

https://www.youtube.com/watch?v=qkHfWI3E5OY

When am I ever going to use this? A video presentation done by 2 students about being a marine biologist focusing on math but also giving many other facts. I liked this and think it might be great to do as a project in the future!

TRIGONOMETRY STUDENTS:

I would like you to be doing the same thing! Here are a few additional websites that deal with trigonometry:

https://www.abc.net.au/science/articles/2012/07/18/354857 3.htm

Dolphins may be math geniuses! This is a word document that talks about amplitude!

https://www.embibe.com/exams/real-life-applications-of-trigonometry/

Real life uses of trigonometry. This word document gives a few general uses in multiple careers.

Please check your email this week. I will be sending you something about trying to review trigonometry with the Khan Academy and trying a class Zoom!

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Mr. Rovenolt

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AppliedWe’ve looked at solving systems by graphing, substitution, & elimination. We’ve worked on it, reviewed it, and practiced it. Today, let’s just have a little fun with it. The link below will take you to 3 pages of review material, mainly using elimination. Read through it. Compare it to what we have done previously. Take the system that is given and solve it without looking at what they did. Then, compare your work with theirs. Then, when you are done with those 3 pages, have some fun playing games on cool math dot com.

https://www.coolmath.com/algebra/12-2x2-systems-of-equations/03-solving-by-elimination-addition-01

AlgebraHere’s a simplistic way of reviewing what we already know about polynomials. Read these & take notes where appropriate.

https://www.coolmath.com/prealgebra/15-intro-to-polynomials/02-polynomials-definition-01-96

https://www.coolmath.com/prealgebra/15-intro-to-polynomials/03-polynomials-terminology-01-97

https://www.coolmath.com/prealgebra/15-intro-to-polynomials/04-polynomials-adding-subtracting-01-101

https://www.coolmath.com/prealgebra/15-intro-to-polynomials/05-polynomials-multiplying-01-106

https://www.coolmath.com/prealgebra/15-intro-to-polynomials/06-polynomials-multiplying-foil-01-108

https://www.coolmath.com/prealgebra/15-intro-to-polynomials/07-polynomials-multiplying-01-111

Once you’ve read this material & compared it to what you already knew, take some time to have some fun by playing some games on cool math dot com.

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GeometryWe’ve been using radicals and working to simplify them. I also showed you some rationalizing of denominators, as well as using conjugates. This will remind you of those concepts and/or solidify those skills. Once you’re done, have some fun by playing cool math dot com.

https://www.coolmath.com/prealgebra/14-intro-to-radicals/06-radicals-rationalizing-the-denominator-01-83

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