Mr. Ohashi's Math 8 Website

Eighth Grade Math at Eckstein Middle School

Thursday, 6/1: Parallel Lines and Angles (Day 4 of 14)

Learning Target: Explore parallel lines in order to discover more angle relationships.
Handouts: Angles & Parallel Lines (Turn in: Fri, 6/2)

Today we learned some more angle relationships. When two lines intersect, the angles across from each are equal. Those angles are called vertical angles.

We also looked at the angles that are formed when parallel lines are intersected by another line (a transversal). This forms eight angles with a pattern. The first group of four angles is exactly the same as the second group of four angles!

We wrote the following down in our notes:

If you want to see those patterns visually, check out the video…

In class, you should have finished at least #1-7. There is no additional homework!

Wednesday, 5/31: Triangle Similarity (Day 3 of 14)

Learning Target: Work with triangles in order to explore their angle relationships.
Handouts: Triangle Similarity (Turn in: Thurs, 6/1)

Today we worked with similar polygons. Remember, similar polygons have the same shape but are different sizes – like when we drew dilations in our last unit! You already know that if you have two similar triangles, you can use the scale factor to find the unknown side lengths. Today though, we worked with similar triangles and our focus was on their interior angles.

My demonstration in class showed you that when you enlarge or shrink a triangle, even though the side lengths changes, the angles all stay the same! So if each of the angles in one triangle have the same measure as each of the angles in another triangle, then the two triangles are similar. We don’t even need to look at the lengths of the sides!

As you worked through the classwork, you found a shortcut with the angles on #2. You found that if a pair of triangles have two angle measures in common, then the third angles must be equal too! Therefore, when you have a pair of triangles with two sets of equal angles, then the two triangles are similar!

Your homework is to make sure you have #1-7 complete.

Tuesday, 5/30: Triangles and Angles (Day 2 of 14)

Learning Target: Work with triangles in order to explore their angle relationships.
Handouts: Triangles and Their Angles (Turn in: Wed, 5/31)

Today we looked at angles in triangles. We started by taking down some notes:

We know that the interior angles of a triangle always add up to 180 degrees. So if we know the measures of two of the angles, we can always find the measure of the third!

Finding the measures of exterior angles requires just a little more thought. The exterior angle and the angle next to it will always form a straight line, so the two angle measures must add up to 180 degrees. Then if we know the measure of one of the two angles, we can find the measure of the other.

Your homework is to finish #1-6.

Friday, 5/26: Angle Measures in Geometry (Day 1 of 14)

Learning Target: Use angle relationships to find angle measures.
Handouts: Angle Measures (Turn in: Tues, 5/30)

Today we started our geometry unit! You got a new packet of notes, and we filled in the front page with some definitions and examples:

Geometry is a subject that is very vocabulary heavy and also contains a lot of symbols, so pay attention to these things! It is also very logical, so work through the problems step-by-step and use the angle relationships that we discussed in our notes!

In class, you should have completed at least #1-5. There is no additional homework, so have a great three-day weekend!

Thursday, 5/25: Transformations Quiz (Day 10 of 10)

Learning Target: Take the transformations Quiz!
Handouts: None!
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We had a quiz today! There is no homework! We will start a new unit tomorrow!

Wednesday, 5/24: Transformations Quiz Review (Day 9 of 10)

Learning Target: Describe a sequence of transformations that moves one figure onto another.
Handouts: Transformations Quiz Review (Turn in: Thurs, 5/25)

We have a quiz tomorrow! For tomorrow’s quiz, you should be able to:
• Perform a reflection, rotation, translation, dilation without tracing paper
• Describe transformations accurately and completely
• Perform multiple transformations on a figure
• Perform transformations and write equations for lines
• Use the coordinate rules

Your homework is to finish the rest of the Quiz Review!

Tuesday, 5/23: Mapping Transformations (Day 8 of 10)

Learning Target: Describe a sequence of transformations that moves one figure onto another.
Handouts: Mapping Transformations (Turn in: Wed, 5/24)

Today we had to describe how to get one figure to move directly onto another figure. This is what we mean by “mapping”. Make sure that your descriptions are specific and complete!

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In class, you should have finished #1-8. Also, we will have a quiz on Thursday!

Monday, 5/22: Harder Transformations (Day 7 of 10)

Learning Target: Draw harder transformations.
Handouts: Harder Transformations (Turn in: Tues, 5/23)

Today we had some harder transformations! We had some problems that had you perform two transformations. We also had some problems where you had to graph a line and then reflect a shape across that line.

In class, you should have finished #1-7. Also, we will have a quiz on Thursday!

Friday, 5/19: Transformations & Linear Relationships (Day 6 of 10)

Learning Target: Review our transformation work.
Handouts: Transformations and Linear Relationships (Turn in: Mon, 5/22)

It was back to our regular routine today! Today’s assignment was a good review of the transformation work that we were doing before testing, and it also mixed in graphing linear relationships.

The assignment also referred to congruent and similar shapes. Remember that congruent figures have the exact same size and shape. Similar figures have the same shape, but are a different size.

In class, you should have finished #1-7 (if you were SBA testing during the period, you do not have to do the assignment!). Have a great weekend!

Thursday, 5/18: SBA Math Test!

Learning Target: Take the Math SBA Test.
Handouts: none.

Today was the last day of in-class SBA Math testing! We will be back to the normal class routine tomorrow! If you still need time to finish, don’t worry… you will be pulled out to finish tomorrow.

Wednesday, 5/17: SBA Math Test!

Learning Target: Take the Math SBA Test.
Handouts: none.

Day 3 of SBA Math testing! Don’t forget to bring a book tomorrow, so that you can read when you are finished!

Tuesday, 5/16: SBA Math Test!

Learning Target: Take the Math SBA Test.
Handouts: none.

Today was our second day of SBA Math testing! Make sure that you bring a book tomorrow, so that you can read when you finish!

Monday, 5/15: SBA Math Test!

Learning Target: Take the Math SBA Test.
Handouts: none.

Today we took the Math SBA Test in class. We will continue with the testing tomorrow. There is no homework!

Friday, 5/12: Grade Level Review

Learning Target: Review grade level math concepts.
Handouts: Grade Level Review #3.

Today was a review of grade level math concepts. There is no homework. We start SBA Math testing on Monday!

If you would like to do the online practice test, you can do it at home! Here is the link to the practice test!

Thursday, 5/11: Rotations Around Other Points (Day 5 of 10)

Learning Target: Rotate a shape about a point that is not the origin.
Handouts: Other Rotations (Turn in: Fri, 5/12

Today we learned how to rotate shapes when the center of rotation is not the origin. This is a little trickier, because we are used to having the origin and each axis around to help guide the rotation.

To make things easier, I gave you a big tip… draw in a fake set of axes! Make your fake axes cross at the point you are rotating around, then ignore the old axes. Now you can rotate around your new origin just like you did last week! Here are the notes that we took in class…

One important note to make is that if you use the coordinate rules to rotate, you have to use the coordinates of the points based on the fake axes (not the real coordinates). Then you base your rotated coordinates on the fake axes too.

Your homework is to finish #1-8, and there is no extra homework worksheet!