Mr. Ohashi's Math Homepage

DAILY MATH CLASS SUMMARY
What did we do in class today?

1ST QUARTER ~ 2nd Quarter ~ 3rd Quarter ~ 4th Quarter

Friday 11/6

Purpose Statement: Work with different linear relationships in order to explore their tables, graphs, and equations.
Handouts: Investigation 1 ACE Questions (Turn in Mon 11/9)

Today we worked with different linear situations by doing some of the ACE questions from the book. ACE #7 had us compare two different pricing plans for buying water bottles. ACE #8 and #9 had you state whether some given points were on a graph (put the first number into the equation, and see if it equals the second number).

If you didn't finish ACE #7, 8, 9 on pages 14-15 in class, then that is your homework! Also, any missing 1st quarter work that can be still turned in will be due on Monday!

Thursday 11/5

Purpose Statement: Work with different linear relationships in order to explore their tables, graphs, and equations.
Handouts: Problem 1.3 (Turn in Fri 11/6)

Today we worked with a different situation in Problem 1.3 - a walkathon for a school fund raiser. We had three students who had found sponsor to make pledges, but in different ways (we called these pledge plans).

The first student, Leanne, had a sponsor who would pay $10 no matter how far she walked. Gilberto's sponsor offered to pay $2 per kilometer walked. Alana's sponsor offered a $5 donation and an additional 50 cents per kilometer. We looked at their tables, graphs, and equations. We saw that their graphs were all straight lines (linear relationships).

In class, you should have finished Problem 1.3 parts A and B. For homework, you should do ACE #6 on page 14.

Tuesday 11/3 and Wednesday 11/4

Purpose Statement: Use walking rates to explore patterns among their tables, graphs, and equations.
Handouts: Problem 1.2 Revised WS (Turn in Thurs 11/5)

We continued our work with rates, but we added in tables, graphs, and equations. We started by taking the following notes on setting up graphs:

Our class work was based on Problem 1.2 in your book. I didn't like some of the questions in the book, so I made a worksheet with better questions! We have three students and their walking rates, and you had to complete a table, graph, and equation for each. Then you had to answer questions about them.

Alana walks 1 meter per second
Gilberto walks 2 meters per second
Leanne walks 2.5 meters per second

In class, you should have finished at least #1-5 from the worksheet. Your homework is ACE #3 on pages 12-13. I gave you a worksheet for you to put your answers on!

Monday 11/2

Purpose Statement: Use rates to solve problems.
Handouts: Working With Rates WS (Turn in Tues 11/3 or Wed 11/4)

Today we solved problems involving rates. Rates are simply a comparison of numbers with different units. Here are the notes we took in class:

In our class work, we had situations where we were given two pieces of information, but had to find the third using the rate equation! For example:

In this example, we know the rate and the distance, but don't know the time. We can put the rate and distance into the equation, and solve the equation (we can use algebra!) to find the time.

You should have finished at least #1-3 from the worksheet in class. Your homework is ACE #1-2 on page 12.

Friday 10/30

Purpose Statement: Use algebra to solve harder equations.
Handouts: Solving Equations 3 WS (Turn in Mon 11/2)

Some of the equations we worked with today had answers that were not whole numbers! For these, we left our answers as fractions. Remember, fractions are basically division problems!

In the example above, 2 divided by 7 could be computed as a decimal, but it would have to be rounded at some point. That means it would be an inexact answer. However, if we want an exact answer, we can leave it as the fraction 2/7.

By Monday, you should finish #1-2 from the worksheet. You get to choose whether you do the level 1 set of problems or the level 2 set. Have a great Halloween!

Thursday 10/29

Purpose Statement: Use algebra to solve harder equations.
Handouts: More Algebra Equations WS (Turn in Fri 10/30)

Yesterday we learned how to solve two-step algebra equations (equations that can be solved by doing two steps). Today we learned how to solve three-step equations! Here are the notes we took:

In these equations, there are a set of x's on both sides of the equal sign. Your first step is to subtract all of the x's off of one side (and do the same on the other side of the equal sign too!). What you will be left with is an equation in the same form as yesterday!

You should finish #1-3 from the worksheet for your classwork and #7 for your homework. Remember to show each step exactly like we learned in class!

Tuesday 10/27 or Wednesday 10/28

Purpose Statement: Use algebra to solve equations.
Handouts: Solving Algebra Equations WS (Turn in Thurs 10/29)

Today we found that our work with coins and pouches is just a visual way to solve an algebra equation! We learned how to symbolically solve an algebra equation. Here are the notes we took in class:

Remember, you must show each step exactly like the example above. This shows your work clearly!

The homework was to finish #1-5 from the worksheet. Remember, for #4 & #5, you can choose whether you want to do level 1 or level 2.

Monday 10/26

Purpose Statement: Solve problems involving coins in order to explore equality.
Handouts: Coins & Pouches WS (Turn in Tues 10/27 or Wed 10/28)

Today we took care of a couple of little things... you got your new book today (Moving Straight Ahead) and took a pre-assessment for the unit.

Today, you were given an assignment that showed several coin and pouch scenarios. You had to figure out how many coins were in each of the pouches, based on knowing that one side had an equal number of coins to the other side, then show how you came up with that on your paper. Here is an example:

The key to solving these, is to keep both sides equal. You can cross out 6 coins on the right if you cross out 6 coins on the left. Since there are two pouches left equal to 12 coins, we know that 6 coins are in each pouch!

The homework is to do ACE #5-8 on page 58 of your new book. You have to draw each situation on your paper and show each step!

Friday 10/23

Purpose Statement: Subtract integers in order to review operation rules.
Handouts: Subtracting Integers WS (Turn in Mon, 10/26)

We took care of a lot of business today... We first took all of our graded work from the last unit out of our binders. We also turned in our books.

As for the classwork, we focused on subtracting integers today. Subtracting is the hardest operation with positive and negative numbers. The easiest way to deal with subtraction, is to change it to addition! Here are the notes we took on changing subtraction to addition:

So if you keep the first number the same and add the opposite of the second number, you can change any subtraction problem into an equivalent addition problem! That makes computing so much easier!

The homework is to finish the front of the work sheet. Remember to use the order of operations and to show your work!

Thursday 10/22

Purpose Statement: Multiply and divide integers in order to review operation rules.
Handouts: Multiplying & Dividing Integers WS (Turn in Fri, 10/23)

We started today off by taking notes on the rule to multiply and divide integers:

The homework is to finish the worksheet. Remember to use the order of operations and to show your work!

Tuesday 10/20 or Wednesday 10/21

Purpose Statement: Take the unit test, then review adding positive/negative numbers.
Handouts: Adding Integers WS (Turn in Thurs, 10/22)

Today we first took the unit test for the symmetry & transformation unit.

Afterwards, we reviewed how to add positive and negative numbers. Last year you learned how to add them using integer chips and using number lines. Here are the notes we took on our new notes for this unit:

The homework is to finish the Adding Integers worksheet.

Monday 10/19

Purpose Statement: Review symmetry and transformation in order to get ready for the Unit Test.
Handouts: Unit Test Review (Turn in Tues 10/20 or Wed 10/21) & Additional Practice

We spent today reviewing for the Unit Test. For the Unit Test, you should be able to:

Recognize reflection symmetry and identify lines of symmetry

Recognize rotation symmetry, identify the angle of rotation, and list turns that will rotate the design to look the same as the original

Recognize translation symmetry, and describe it with a vector or words

Recognize the basic design element of a design

Perform a reflection, rotation, translation, and dilation

Identify the type of transformation performed

Use rules to locate the coordinates of an image after a transformation

Remember, you can use your notes, a calculator, your Unit Test Review, your graded work, and your book for the test! Make sure you bring everything that you will need!

If you would like additional practice to get ready for the test, I offered an Additional Practice Worksheet. It is not an assignment or extra credit, just a chance for more practice if you'd like it! Here's the Answer Key.

Your homework is to finish the Unit Test Review. I also announced that I moved the cut-off date for all missing work for this unit. I will take it through Friday! Get it done and turned in!

Friday 10/16

Purpose Statement: Use coordinate rules to transform points.
Handouts: Using Coordinate Rules: Level 1 WS OR Using Coordinate Rules: Level 2 WS (Turn in Mon, 10/19)

Today, we used the coordinate rules for reflection, rotation, and translation to perform various transformations.

Depending on how comfortable you feel with the rules, you could choose which version of the assignment that meets your needs. If you need more practice using the rules, you could choose to do Level 1 of the assignment. If you know how to use the rules and want to apply them to more challenging problems, then you could choose Level 2.

By Monday, you should finish at least #1-4 from the worksheet (regardless of the level). Don't forget that we have the Unit Test next week!

Thursday 10/15

Purpose Statement: Explore rotations in order to write coordinate rules.
Handouts: Coordinate Rules for Rotations WS (Turn in Fri, 10/16)

Our focus today was coming up with rules for finding the coordinates of points when we rotate them 90, 180, and 270 degrees about the origin. We found that there was a straight forward rule for each of them:

The classwork was to finish Parts A-D from the worksheet. The homework is ACE #11-14 on pages 89-90.

Tuesday 10/13 or Wednesday 10/14

Purpose Statement: Explore translations in order to write coordinate rules.
Handouts: Problem 5.2 (Turn in Thurs 10/15)

Today we continued to find coordinate rules for different transformations. We started by writing down the rules we discovered for reflecting points:

Today, we looked at translations (slides). We found that the coordinate rule for these was easier than reflections! We simply add to the x-coordinate to move it to the right, or add to the y-coordinate to move it up! We summarized the rules in our notes:

For classwork, you should have finished Problem 5.2 Part A on page 82. For homework, you should do ACE #5-10 on page 89.

I also announced a couple more important dates: the Unit Test for this book will be on Tuesday 10/20 (Wednesday 10/21 for 6th period) and all missing work for this unit will be due on that day as well! Quiz revisions for the last quiz are also due on that day!

Wednesday 10/14 - 2nd Period Only

Purpose Statement: Explore transformations in order to write coordinate rules.
Handouts: Problem 5.1 & Coordinate Rules WS (Turn in Thurs 10/15)

Because of the fire drill, we had to do two lessons in one period! Aren't we lucky?

We started today looking for reflection rules. We found three rules that we wrote down in our notes:

Then we looked for rules for translations (slides). We found that the coordinate rule for these was easier than reflections! We simply add to the x-coordinate to move it to the right, or add to the y-coordinate to move it up! We summarized the rules in our notes:

For classwork, you should have finished Parts A-C in the Coordinate Rules WS. For homework, you should do ACE #5-10 on page 89.

I also announced a couple more important dates: the Unit Test for this book will be on Wedneesday 10/21 and all missing work for this unit will be due on that day as well! Quiz revisions for the last quiz are also due on that day!

Monday 10/12

Purpose Statement: Explore reflections in order to write coordinate rules for transforming a point to its image.
Handouts: Problem 5.1 (Turn in Tues 10/13 or Wed 10/14)

We continued to reflect points, but today we were also looking for a rule for knowing what the coordinates of those points would be. We worked with three different scenarios: reflecting across the y-axis, reflecting across the x-axis, and reflecting across the line y=x (a diagonal line). What we found was that there is a quick trick for each of the three situations!

The classwork was to finish Part A of Problem 5.1. It is based on a computer program where you have to tell it how to draw lines (from a starting point to an ending point). The homework was ACE #1-3 on page 88.

2nd period is an exception! Because the fire drill took up most of work time, you don't have to do any of that work... yet... we will work on it on Wednesday!

Thursday 10/8

Purpose Statement: Take a quiz!
Handouts: Brain Teasers 2 (any 8 or do a SuDoku) (Turn in Mon 10/12)

We took a quiz in class today! The homework was the Brain Teaser... you could either solve 8 commonyms or do one of the SuDokus on the back! Have a great three day weekend!

Tuesday 10/6 or Wednesday 10/7

Purpose Statement: Review transformations in order to get ready for the quiz.
Handouts: HKM Quiz 2 Review WS (Turn in Thurs 10/8)

We started today by finishing some notes on drawing dilations:

The rest of today was spent reviewing for Thursday's quiz. For the quiz, you should be able to:

Perform a reflection with or without a grid

Perform a rottion with or without a grid

Perform a translation with or without a grid

Perform a dilation with or without a grid

The homework was for you to finish anything that you didn't finish in class.

Monday 10/5

Purpose Statement: Peform dilations on designs in order to resize them.
Handouts: Drawing Dilations WS (Turn in Tues 10/6 or Wed 10/7)

Today we learned how to perform dilations, which means to expand or reduce a design. You can think of dilations as making shadow puppets... the light bulb is like the center of dilation, and the shadow that is created is the image of the design! Here are the notes we took in class:

Doesn't the image kind of look like the shadow of the original triangle? See, shadow puppets! We will write the step by step directions (on the back side of the notes) tomorrow during class, since we only had 45 minutes in class today.

For the classwork, you should finish at least #1-4 from the worksheet. The homework is #10-13 from the worksheet. Don't forget that we have a quiz on Thursday!

Friday 10/2

Purpose Statement: Use the properties translations to perform a translation on a figure.
Handouts: Drawing Translations WS (Turn in Mon 10/5)

Today we learned how to translate (slide) shapes, given a vector that tells us the distance and direction of the translation. Here are the notes we took:

Drawing line segments from each vertex is difficult because it is hard to make the lines go in the exact direction we need. But I showed a helpful tip in class... use your protractor to draw a 90 degree line from the original vector, then use your protractor to draw 90 degree lines from that line to each vertex. These lines will all be in exactly the same direction as the original vector!

Your homework was to finish #1-4 from the worksheet. I also announced that we will have a quiz on Thursday of next week. Have a great weekend!

Thursday 10/1

Purpose Statement: Use reflections and rotations to transform figures.
Handouts: More Flips and Turns WS (Turn in Fri 10/2)

Today we continue to reflect and rotate designs without a coordinate grid. It involves a lot of line measurement and angle measurement!

For the classwork, you should get through at least #1-6. The homework is to do #9-12.

Tuesday 9/29 or Wednesday 9/30

Purpose Statement: Use the properties of rotation to perform rotations on shapes.
Handouts: Drawing Rotations WS (Turn in Thurs 10/1)

We have been rotating shapes on a coordinate grid since last week, but today we learned how to rotate shapes even when the coordinate grid is not there! Here are the notes we took:

Drawing rotations involves a lot of steps and a lot of measuring, but doesn't take long once you get the hang of it! A couple of tips though: draw your lines carefully with the protractor. If your line is crooked, the entire image will look wrong! Also, keep track of which way your shape is being rotated. The most common mistake kids make is that they rotate the shapes in the wrong direction.

Your homework was to do #8-11 from the worksheet.

Monday 9/28

Purpose Statement: Use the properties of reflection to perform line reflections.
Handouts: Drawing Line Reflections WS (Turn in Tues 9/29 or Wed 9/30)

Last week, we learned how to perform reflections on designs that were on a coordinate grid. Today, we learned how to perform reflections that are not! We started by taking notes...

By drawing the lines, we are basically giving ourselves guidelines that act like a coordinate grid!

For the classwork, you should have finished #1-3 from the worksheet. Your homework is to finish #9-12 from the worksheet.

Friday 9/25

Purpose Statement: MAP Testing!
Handouts: None

Today we were up in the computer lab taking the MAP (Measures of Academic Progress) Test. There is no homework... just finish the assignment from Thursday to turn in on Monday!

Thursday 9/24

Purpose Statement: Examine transformations on a coordinate grid in order to understand basic transformation properties.
Handouts: Transformations on a Grid WS (Turn in Mon 9/28)

Today we learned about transformations. Transformations are when you do something to a design or shape. We learned how to do three things... reflect (flip), rotate (turn), and translate (slide). In class, we performed the transformations on the shapes then had to explain how to do them.

Your homework is to have the entire worksheet completed by Monday. Remember, tomorrow we will be taking an assessment in the computer lab (room 206). Go straight to that room and be ready!

Tuesday 9/22 and Wednesday 9/23

Purpose Statement: Work with different designs in order to explore properties of translation symmetry.
Handouts: Translation Symmetry WS (Turn in Thurs 9/24)

Today we learned about a new kind of symmetry - translation symmetry. Here are the notes we took:

So basically, if you can slide the entire design so that it looks exactly the same as before, then it has translation symmetry. There are two ways to describe translation symmetry - with a vector (an arrow) and with words - because they both specify the distance and direction!

For the classwork, you should have finished #1-3 from the worksheet. Your homework is to finish #4-6 from the worksheet.

Monday 9/21

Purpose Statement: Work with angles of rotation in order to explore properties of rotation symmetry.
Handouts: Angles of Rotation WS (Turn in Tues 9/22 or Wed 9/23)

We continued our work with rotation symmetry today, but our focus was more on the angles. We found that we could calculate the exact angle it takes to rotate a design, without having to measure it! Here are the notes:

You should have finished #1-4 from the worksheet in class (if you didn't, you need to finish it as part of your homework!). Your homework assignment is ACE #10 on page 16.

Friday 9/18

Purpose Statement: Work with different figures in order to explore properties of rotation symmetry.
Handouts: Rotation Symmetry WS (Turn in Mon 9/21)

We took notes in class today on some vocabulary, reflection symmetry (from yesterday), and rotation symmetry (today!). Here are the notes:

The assignment was the Rotation Symmetry Worksheet - you need to finish at least #1-3 for Monday. Don't forget, you also should start bringing a calculator to class on Monday! Have a great weekend!

Thursday 9/17

Purpose Statement: Work with different figures in order to explore properties of reflection symmetry.
Handouts: Reflection Symmetry WS (Turn in Fri 9/18)

We got our first math book of the year today. It's called Kaleidoscopes, Hubcaps, and Mirrors and it's about symmetry and transformations. It starts off pretty easy, but will get more mathematical as we go through it!

We talked about how a figure has reflection symmetry if it can be divided into two pieces that are mirror images of one another. We can even use a mirror to check! The line where the mirror would go is called the line of symmetry.

The classwork was the worksheet and the homework was ACE #2-9 on pages 15-16.

Tuesday 9/15 & Wednesday 9/16

Purpose Statement: Work together in a group in order to understand what group work looks like in math class.
Handouts: Self-Reflection (Turn in Thurs 9/17)

Today in class, we did a group activity where you had to make a stick design from clues. You had to work together because you could not see your group's clues, they had to read them to you!

The homework was to do a Self-Reflection on the group work activity.

Monday, 9/14

Purpose Statement: Take an assessment in order to gauge your math skills.
Handouts: Brain Teasers (any 8) (Turn in Tues 9/15 or Wed 9/16)

We took the last of the math assessments today in class! The homework was to do the Brain Teaser - you can find any 8 on the front, back, or combination of the two!

Tomorrow, we start actually doing math! You are going to work in your table group and do a group activity!

Friday, 9/11

Purpose Statement: Take an assessment in order to gauge your math skills.
Handouts: Math Questionaire 2 (Turn in Mon 9/14)

Today in class, we took the first of two math assessments. We also had an assignment - Math Questionaire Part 2. Have a great weekend!

Thursday, 9/10

Purpose Statement: Go over expectations in order to set up a successful year.
Handouts: Math Questionaire (Turn in Fri 9/11)

Welcome! Today we went over the class expectations and the syllabus so that you know about the requirements for this class! You can see read these on this website by clicking here.

You also had your first math homework assignment - Math Questionaire. It is a worksheet to help me get to know you better!

We also wrote down a few important dates in our planners. We are taking math assessments in class tomorrow 9/11 and on Monday 9/14. You should have the syllabus signed and returned by Friday 9/18. You should start bringing a basic calculator everyday, starting on Monday 9/21.