Saturday, March 16, 2019

Recycle

SAVE THE PLANET -- PLEASE RECYCLE

You can recycle a lot of items. You can recycle most plastic bags, wraps, and films at your local grocery store. Go to this site to read more about recycling.

https://how2recycle.info/sdo

Friday, March 15, 2019

Prime Factorization

PRIME FACTORIZATION
This page is just a rough draft.

Prime and Composite Numbers
Prime Number: A whole number greater than 1 whose only factors are 1 and itself.
Composite Number: A whole number greater than 1 and has more than two whole number factors.

Factors

Activity
Write down a multiplication problem.
Label the factors. Label the product.

Example:
3 x 2 = 6
/      \     \
factors   product

Factors: A number that is multiplied by another number to find a product.
Product: The answer to a multiplication problem.

1.3 6th Grade Big Ideas Math

PRIME FACTORIZATION

Find all the factors of a number.
List the factor pairs of that number.

Examples:

6
Factors of 6:
1 x 6 or 6 x 1
2 x 3 or 3 x 2

Factors of 6:
1, 2, 3, 6

Factor Pairs of 6:
1, 6 or 6, 1
2, 3 or 3, 2

18
1 x 18 or 18 x 1
2 x 9 or 9 x 2
3 x 6 or 6 x 3

Factors of 18:
1, 2, 3, 6, 9, 18

Factor Pairs of 18:
1, 18 or 18, 1
2, 9 or 9, 2
3, 6 or 6, 3

Activity
Write examples like the above examples in your interactive notebook.

Prime Factorization
Terms:
Prime Factors: These are prime numbers that divides into a number exactly.
Prime Factorization: Is a number that is written as the product of all its prime factors.
The prime factorization of a composite number is the number written as a product of its prime factors.

Examples:
So, if we want to find all the factors of _____, we just want to list all the ways we can get _____ using whole numbers and multiplying.

Let’s look at the number 18 again. Let’s find the prime factorization of this number. We can use a factor tree.
We write the prime factorization by factoring until only prime factors are in the product.
We start with two factors of 18. This can be any two factors of 18. Let’s start with _____ 2 X 9. What are two other factors that could be used? (3 X 6)

Factor Tree

    18
   /   \
  2    9
      /  \
     3    3

Step 1: Write down the number you are trying to find the prime factorization.
Step 2: 2 X 9
Step 3: 2 is a prime. 9 is a composite number.
Step 4: We can factor 9 as 3 X 3.
Step 5: Now all the numbers are primes, 2 x 3 x 3
Step 6: Writing the prime factorization using exponents, we have 2 X 3^2.
The prime factorization of 18 is 2 X 3^2.    
Check: 2 X 3^2      2 x 9 = 18
18 = 2 X 3^2

Activity:
Pick a number. Find the prime factorization for that number using a factor tree.

Example:
         72
        /   \
       8    9
     /  \  /  \
    2   4 3   3
       /  \
      2   2

The prime factorization of 72 is 2^3 x 3^2.

Prime Numbers and Composite Number
Activity: Foldable

Real Numbers and Exponents

Links
https://www.engageny.org/resource/grade-8-mathematics-module-7/file/16181

Exponential (index) notation: GeoGebra
Move the interactive to change the number of the "base" and "index".

Thursday, March 14, 2019

Geometry: Transformations

Transformations

Standards
8.G.A.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

https://www.mathworksheetsland.com/8/

Types of Transformations

Watch this video
Translations Reflections and Rotation: Turtlediary @ YouTube
Note: The default setting is too slowly. I find it easier to watch at the speed of 1.25. To do this, go to "Settings" (it is next to "CC"). Select "1.25" under "Speed". This should be a better setting.

Lesson
Transformation: Mathwarehouse -- This has two animated examples of transformation (reflections and translations). There is other information on this page too.

Interactive Games
Translations and Rotations: Geogebra
RoboPacker: eduplace
Shapes in Motion Shape Game Sheppard Software's -- Choose which transformation the objects are.
Transformation Game for Kids -- Use the shadow of a house in this game.

Information
https://www.mathsisfun.com/definitions/transformation.html

Videos
https://www.mrmaisonet.com/transformations/video

Misc. Interactive Games
Interactive Math: Transformations
Transformation Games and Worksheets: OnlineMathLearning
Shape Mod: Mathplayground
https://duckduckgo.com/?q=trnsformation+interactive&t=ffab&atb=v144-3a_&ia=web

Geometric Transformations: Khan Academy -- Lessons & videos
Composition of Rigid Motions: YouTube -- translation, rotation, and reflection

Printable Worksheets And Lessons
Properties of Rotations, Reflections, and Translations: Mathworksheetsland

Translation
Translation: A translation slides or moves an object.
 
Translate = Slide or Move

Slide   Slide   Slide

Move
              Move
       Move

Lesson
Translations, An interactive activity: Mathwarehouse

Interactive Games
Translations and Rotations: Geogebra

Information
https://www.mathsisfun.com/definitions/translation.html
https://www.mathsisfun.com/geometry/translation.html 

Other Resources
https://www.engageny.org/resource/grade-8-mathematics-module-2/file/113711
Mathopolis:Translation Quiz

Rotation
Rotation: A rotation turns a shape.
 
Rotate = Turn

Turn, Turn, Turn

Lesson
How to Rotate a Point: Mathwarehouse

Interactive Games
Translations and Rotations: Geogebra
Rotation about a point ON the triangle Geogebra

Quiz
Transformation: Rotating Around The Origin 90 And 180 Degrees Quiz
If you get an answer incorrect, it will show you a video. Make sure to take notes.

Information
https://www.mathsisfun.com/definitions/rotation.html
https://www.mathsisfun.com/geometry/rotation.html

Other Resources
https://www.engageny.org/resource/grade-8-mathematics-module-2/file/113711

Reflection
Reflection: A reflection flips a shape over to create a mirror image.
 
Reflect = Flip
This is like reflecting in a mirror. You flip the image.
Flip, Flip, Flip

Lesson
Transformations: How to reflect a point: Mathwarehouse

Interactive Games
Reflections: Geogebra
Reflection of the plane about a line

Quiz
Transformation: Reflection Quiz: Maisonet Math
If you get an answer incorrect, it will show you a video. Make sure to take notes.

Information
https://www.mathsisfun.com/geometry/reflection.html
https://www.engageny.org/resource/grade-8-mathematics-module-2/file/113711

When you translate, rotate, or reflect an object, they are all CONGRUENT.

Congruent
Congruent: Congruent is when a shape has the same size and shape.

Same size, same shape
Same size, same shape
Same size, same shape

Mathsisfun: Congruent

After you do these three types of transformations, the shape is still the same shape and size.
Now, you can perform the next type of transformation which is called dilation.

Dilation
Dilation: A dilation is to make something larger or smaller.

Larger or smaller
Larger or smaller
Larger or smaller

A dilation is a similarity transformation (or a similarity).

You use dilation to show that objects are SIMILAR even though they are different sizes.

Steps to Dilation:
1. Multiply both coordinates by scale factor
2. Simplify
3. Graph (if required)

Lesson
Dilations in Math: How to perform dilations: Mathwarehouse -- This is a lesson with interactive examples.

Interactive Games
Properties of Dilation: Geogebra
Exploring Dilations: Ex. 19: Geogebra -- This is using Curious George's picture.
Dilation: Geogebra
Dilation #2: Geogebra

Information and Lessons
Dilation: MathisFun
Engageny: Module 3
Mathworksheetsland: Grade 8

Search for more Dilation Interactive Resources
Dilations: Geogebra Search

So let's review some terms and definitions.
Translation: A translation moves or slides an object.
Rotation: A rotation turns a shape.
Reflection: A reflection flips a shape over to create a mirror image.
Congruent: Congruent is when a shape has the same size and shape.
Dilation: A dilation is to make something larger or smaller.
 

Genetics

Solving a Genetic Mystery
https://askabiologist.asu.edu/explore/solving-genetic-mystery

Standards
Strand 2: History and Nature of Science
PO 2.
Evaluate the effects of the following major scientific milestones on society:
- Mendelian Genetics

Strand 4: Life Science

Concept 2

Learn.Genetics: Basic Genetics
https://learn.genetics.utah.edu/content/basics/

Mendelian Genetics
http://knowgenetics.org/mendelian-genetics/

Mendel's Plants
https://askabiologist.asu.edu/mendel-garden

PO 2
Explain the basic principles of heredity using the human examples of:
- eye color
- widow's peak
- blood type

Observable Human Traits
https://learn.genetics.utah.edu/content/basics/observable/

Human Mendelian Traits
https://askabiologist.asu.edu/mendelian-traits-humans

Human Genetic Problem Set
http://www.biology.arizona.edu/human_bio/problem_sets/human_genetics/human_genetics.html

Color Blindness Problem Set
http://www.biology.arizona.edu/human_bio/problem_sets/color_blindness/questions.html

PO 3
Distinguish between the nature of dominant and recessive traits in humans.

Dominant Inheritance
http://knowgenetics.org/dominant-inheritance/
This includes the dominant trait of the presence of a widow's peak (a V-shape).

Recessive Inheritance
http://knowgenetics.org/934-2/

Thursday, March 7, 2019

Classical Composers

LISTEN
Play musical works to celebrate a composers birthday. If you miss the exact date, you can play the musical piece that they composed anytime of the year.

Instruments: Listen for the different types of musical instruments played in the piece. What are they?
Speed: Is the music fast, slow,...?
Volume: Does the music get louder or softer?
Mood: What kind of mood does the music cause you to experience (happy, sad,...)?

WRITING ACTIVITIES
Write a description of each piece that you listen to. Include: the instruments, the speed, the volume, the feeling, mood, etc. Include music terms in your description.

Research about each composer. Write a short biography of them. Include pictures and other information on paper or slideshow.

Classics FM: Composers
Classic FM: YouTube
Classical.net: Composer Data
Classical Music Including the timeline of different eras.
Classics For Kids - This is an excellent site to find lots of resources.

MARCH

Chopin, Frédéric
March 01, 1810 - October 17, 1849
He was possibly born on February 22 (Source: Chopin)
Country: Poland
Era: Romantic

Chopin: Classic FM
Composers A to Z: Classics For Kids

Vivaldi, Antonio
March 04, 1678 - July 28, 1741
Country: Italy
Era: Baroque

Vivaldi: Classic FM
Composers A to Z: Classics For Kids

Famous Works
The Four Seasons

Bach, Carl Philipp Emanuel
He is known as C.P.E. Bach.
March 8, 1714 – 14 December 1788
Country: Germany
Era: Baroque
He was a composer, organist, harpsichordist, violist, and violinist.

Trivia Facts
He was the son of a Johann Sebastian Bach, a famous composer.
His second name (Phillipp) was given in honor of his godfather, Georg Philipp Telemann, who was a famous composer.

Carl Philipp Emanuel Bach: Britannica
Composers A to Z: Classics For Kids

Strauss, Joann I
March 14, 1804 – September 25, 1849
Country: Austria
Era: Romantic

Johann Strauss | : Britannica

Strauss, Eduard
15 March 1835 – 28 December 1916
Country: Austria

Eduard Strauss: Wikipedia

Telemann, Georg Philipp
March 14, 1681 - June 25, 1767
[24 March - New Style]
Country: Germany

Georg Philipp Telemann: Britannica
Composers A to Z: Classics For Kids

Bach, Johann Sebastian
He is known as C.S. Bach.
March 21, 1685 - July 28, 1750
[March 31 - New Style]
Country: Germany
Baroque Period

Bach: Classic FM
This includes a video called "Fast and Friendly Guide to Bach".
Johann Sebastian Bach: Britannica
Composers A to Z: Classics For Kids

APRIL

Rachmaninoff, Sergei
April 01, 1873 - March 28, 1943
 [Old Style: March 20]
Country: Russia
Romantic Period

Rachmaninov: Classic FM
Sergey Rachmaninoff: Britannica
Composers A to Z: Classics For Kids


MAY

Brahms, Johannes
May 07, 1833 - April 03, 1897
Country: Germany
Romantic Period

Composers A to Z: Classics For Kids

JUNE

Strauss, Richard
June 11, 1864 - September 08, 1949
Country: Germany
Late Romantic Period

OCTOBER

Strauss, Johann II
October 25, 1825 - June 03, 1899
Country: Austria
He was known as the "Waltz King".
Romantic Period

Strauss II: Classic FM
Johann Strauss |: Britannica
Composers A to Z: Classics For Kids
 
Bizet, Georges
October 25, 1838 - June 03, 1875
Country: France
Romantic Period

Georges Bizet: Britannica
Composers A to Z: Classics For Kids

Habanera | Muppet Music Video | The Muppets

Famous Works
Habanera from Carmen Suite No. 2

NOVEMBER

Britten, Benjamin
November 22, 1913 - December 04, 1976
Country: England
Modern Period

Composers A to Z: Classics For Kids

DECEMBER
Beethoven, Ludwig van
December 17, 1770 - March 26, 1827
 (Baptized on December 17)
Country: Germany
Classical Period

Ludwig van Beethoven: Britannica
Beethoven: Classic FM 
Celebrating Ludwig van Beethoven's 245th Year | Google Doodles
Composers A to Z: Classics For Kids
 
Ode to Joy | Muppet Music Video | The Muppets