1.5 Design Challenge 1

Objective:

The main focus of this problem is for you to follow written directions in order to draw a variety of angles and polygons that meet specific requirements.  In order to do this, you will need to use a protractor and/or ruler.  If you want to see some examples of this being done, try watching the following video:

Part 1: Problem 1.5 Design Challenge

You will need to use a ruler and protractor to draw each angle and polygon that is described in this problem.

• Read the description of each polygon on page 23 of your textbook.
• Record your drawing on the handout provided in class.  This will be collected and assessed at the end of class.

HOMEWORK:

1. 1.5 ACE PROBLEMS: (58)
2. Remember to also do the ACE problems from 1.4

1.4 Measuring Angles

Do Now:

Use the protractor provided to find the measure of the 6 angles shown.

Objective:
The main focus of this problem is to give you hands on experience measuring angles using a protractor. This is hopefully a skill that you have practiced before, but if not, you can check out this video on how to properly use a protractor.

Part 1: Working on Problem 1.4

• Task E - Use a protractor or angle ruler to measure each of the angles on the pages provided.
• Task D - Supplementary and Complementary angles.  Write the pairs of these angles on the "Do Now" page.  If you need more practice with these, check out the Khan Academy task found here.

Part 2: Summarizing Your Learning As A Group

In your group, discuss the following questions.  Be prepared to share your thoughts with the class.

What things do you check to make sure you are making accurate measurements?

Do you prefer the protractor or the angle ruler?  Why?

FOLLOW-UP WORK/HOMEWORK

1. 1.4 ACE PROBLEMS (19-28)

Math Technology Tools

This year in math we will be making use of a wide variety of tools to help us gain a better understanding of math.  The main objective for today is to get everybody signed-up for these online tools.

Khan Academy:

Khan Academy is a great place to go to get some additional skills practice for both the current unit as well as areas from last year where you might need some additional practice.  To set-up your Khan Academy account, follow the directions posted here.

Class codes:
Block C -  YUGTSP
Block E -  B5HCRK
Block G -  BHTYCB

Dash Web:

Dash Web is on online version of your math book that also gives you direct access to some pretty cool math tools and resources.  You have already been set-up for this.  Your login is your regular SAS username.  Your password is "math1234".


Math XL For School:

Math XL is a another place where you can get some extra practice for the unit that we are currently working on.  The great thing about Math XL is that it directly ties to the exact units that we are doing in class.  To set-up your Math XL account, follow the directions posted here.

StatKey:

StatKey is a Google App that we will use later this year.  Download it and install it now.

Desmos:

Desmos is also a Google App.  It is an awesome graphing tool that we will use throughout the year.  Download it and install it now.

Homework:

1. Make sure that you have downloaded/installed/registered for all of the software listed above.  The exception to this is Block C who were unable to set-up Math XL.
2. Complete the following Khan Academy Tasks:
• Angle Types
• Measuring Angles
• Complementary and Supplementary Angles
• Recognizing Triangle Types
• Quadrilateral Types
• BONUS PRIZE for anybody who earns more than 5000 points before next class.
3. Be sure to complete the ACE Problems from both 1.2 and 1.3 if you did not do so already.

1.3 Estimating Measures of Rotations and Angles

Objective:
The main goal of this problem is for you to use your knowledge of benchmark angles to be able to estimate the measure of angles and to sketch angles with a given measurement.  One of the common difficulties with doing this is that students measure the wrong angle because they do not understand the system used when naming angles.

Group Work:

With your group, work through Tasks A-D on page 16/17.  Using a ruler will be a very important part of this unit, so make sure that you have one anytime you are doing classwork, homework, or other assignments.

By the end of the problem, you should be able to do the following:

• Identify, read, and label angles using proper notation.
• Estimate the size of an angle within 15 degrees.
• Sketch and label angles based on either a measurement (180 degrees), number of rotations (half a rotation) or description (two times the size of a right angle)

HOMEWORK:

1. ACE Problems: (10-11) (49, 51, 53, 54+)
2. If you would like some extra practice estimating angle sizes, try The Honey Bee Dance

1.2 In a Spin

Do Now:

• Complete the "Entrance Card" that is on your table groups.  This is to be done individually.
• Open your "Squarebook" to where you completed the homework for last class and be prepared to discuss questions 64 and 65 with your group/class

Objective:
The main focus of this lesson is to be able to identify some common "benchmark angles".  These are angles that are usually pretty easy to recognize such as 45 degrees, 90 degrees etc.  We are going to do this by playing a game and then estimating some angle sizes based on these benchmark angles.  As a quick introduction to angles and rotation.  Check out the videos below:

This one is going to hurt!!



Or check out this video from the 2014 Olympics.  How many spins do you count?  How many degrees of rotation is that?



I am a huge fan of ski aerials.  Watch this guy try to break a world record by performing 4 back flips and 4 full rotations in a single jump.



Group Work:

With a partner you are going to complete Task A which involves playing a game called "Four in a Row".

In this game, the objective is to get 4 places on the grid in a row.  Here is the game board in the event that you would like to practice more:

By the end of this problem you should be able to do the following:

• Recognize basic benchmark angles of 30, 45, and 90 degrees.
• Use multiples of benchmark angles to determine the size of other angles on a polar grid
• Find and label the location of a point on a polar grid.

HOMEWORK:

1. ACE Problems: (6-8) (45, 46) (67+)

1.1 Sorting and Sketching Polygons

This is the first day of our new unit that focuses on describing, drawing, measuring, and building a variety of polygons.  This is important as polygons are used in a whole bunch of different ways and in different places.  From architecture, to patterns on fabric, to designing furniture and computer graphics.

Focus Question:

What properties do all polygons share?  What properties make some sub-groups of polygons different from others?

Do Now Task:

• Place your copy of the "Shapes and Design Unit Readiness" in the middle of the table group.  Make sure that your name is on it.
• As a group, look at the examples shown of Polygons and Non-Polygons.  Describe the differences between polygons and non-polygons.

Lesson:
In this first problem, you are going to look for similarities in a variety of different shapes.  These shapes are found on page 9 of your textbook.

With your group, answer questions A, B, C, D.  You should write your responses in your squarebook.

By the end of this problem you should be able to do the following:

• Describe properties that a set of polygons have in common (notice that we are not focusing on the name of a group e.g. triangles, but the properties the group has in common e.g. three sides and three angles)
• Decide whether a shape belongs in a group with a given set of properties.
• Draw a shape that belongs to a group with a given set of properties.

What you MUST do before next class:

1. ACE Problems (3) (38, 40, 42, 44, 46) (64, 65+)

Welcome to Math 7

This is going to be a great year for all of us together in Math 7.  I am excited and hopefully you are too...even if it is just a little bit.

This is my blog.  This is a great place for you to come and get a recap of what took place in class.  Sometimes you will need to come here to access files that you will be using in class or at home for homework.

Objective: Get ready for the year.

1. Find your seat for the first unit.  Groups are arranged by colors.  The colors are found by looking at the signs above the table groups.
2. Get supplies. Somebody from you group will need to collect a "Squarebook" for each person in your group.  Somebody different will need to collect a "Red Folder" for everybody in your group. 

• Label your "Squarebook" and "Red Folder"
• Your Name
• Math 7
• Mr. Raymaakers M327

1. Textbooks.  There is a mini-textbook for each unit this year.  You can take your book home with
   
   
   you, but you MUST remember to bring it to school each day.  Use the "Red Folder" to keep the book safe.  It will cost you $20, if you lose or significantly damage your book.

• Label your Textbook on the inside cover
• Your Name - Mr. Raymaakers

1. Course Outline

What you MUST do before next class:

1. Complete the "Shapes and Design Unit Readiness" assessment.  I will be collecting these next class.
2. Bookmark my blog so that you can find it throughout the year.
3. Add a comment to the bottom of my blog.  In the comment, write one word that describes how you feel about math this year and explain why you feel this way.

What you CAN do before next class:

1. Try to find a solution to the "Stepping Stone" Problem.