Your Unit Assessment will be on Tuesday, December 20th.

Here is the Study Packet

Here are the answers to the study packet.

**Have fun reviewing!**

Your Unit Assessment will be on Tuesday, December 20th.

Here is the Study Packet

Here are the answers to the study packet.

Expanded Form and Factored Form.

Here is a good link to a Maine Public Video on Distributive Property

Hour of Code is here!

We live in a world surrounded by technology. And we know that whatever field our students choose to go into as adults, their ability to succeed will increasingly depend on understanding how technology works.

But only a tiny fraction of us are learning how technology works. Fewer than half of all schools teach computer science.

That’s why our entire school is joining in on the largest learning event in history: The Hour of Code, during Computer Science Education Week (December 5-11). More than 100 million students worldwide have already tried an Hour of Code.

Article - "A Plan to Teach Every Child Computer Science"

Try out this math facts card game. If you are still grappling with the algorithms for adding and subtracting rational numbers, try these links (sign in using your school google account):

There are many more great topics to try that can help with our unit work or with skills sheets. Check out the 7th Grade Math Library here:

There are many more great topics to try that can help with our unit work or with skills sheets. Check out the 7th Grade Math Library here:

Online Help Math is Fun Site:

Adding and Subtracting Negative Numbers

Math Team Challenge

11/14/2016

- Classic Riddle: What is the maximum value of change that you can have in U.S. coins (pennies, nickels, dimes, and quarters) without being able to give someone exact change for a one-dollar bill?

- How many triangles are in a fully connected pentagon?

In preparation for tomorrow's Skill's Quiz, please review your skills sheets, pay special attention to problems you had trouble with.

Try them again and check your answers. You can review the answers here.

If you'd like additional practice on specific problems, try these sheets:

Try them again and check your answers. You can review the answers here.

If you'd like additional practice on specific problems, try these sheets:

Click here to access the class notes on Inv 1.1 and 1.2

In this unit, the focus is on understanding and developing systematic ways to add, subtract, multiply, and divide positive and negative numbers. Students will develop algorithms for computations and will use the order of operations, the Commutative Property, and the Distributive Property to solve problems.

Math Team Challenge #2 10/17/16

- John took a picture to a copy machine and had a copy made, not realizing that someone had left the machine set for a reduction to 80 percent of the original size. What percent setting will John have to use on the copy machine to obtain from his reduced copy a picture with the original dimensions?

- Mr. Corey is wrapping a gift for Mr. Warshaw. He wants to cover the 8 inch x 10 inch x 5 inch box with wrapping paper. How many square inches of of paper will he need if the paper fits perfectly over the box? How much ribbon will he need if the bow itself adds 15 inches?

- At this time of year many postal workers have to work overtime, so a supervisor at one large post office planned a late-night snack for the employees. She ordered 1 extra-large pizza for every two workers, 1 large bag of potato chips for every 3 workers and 1 two-liter bottle of cola for every four workers. When the order arrived, 26 items were delivered. How many employees were working that evening?

We are finishing up our first math unit, Shapes and Designs.

The Unit Test is scheduled for Friday 10/21.

Start studying now to make sure you're ready!

2. Benchmark angles

3. Measuring angles

• S (sum of angles) = 180 (n-2)

• A (individual angle in a polygon) = 180 (n-2) / n

2. Finding exterior angles in a polygon.

• The sum of the two shorter sides must be greater then the longer side in a triangle

2. How to create a unique triangle:

• SAS (side-angle-side),

• AAS (angle-angle-side),

• SSS (side-side-side),

• ASA (angle- side-angle)

3. Finding angle measures when given parallel lines and transversals.

• supplementary angles

• complementary angles

• isosceles/equilateral triangle properties

• parallelogram/square/rectangle properties

• angle sums for regular polygons

• Specific ACE Problems or Investigation Problems to review to review:

•Inv 1 ACE: #10 page. 27, Check-in Quiz, Problem 1.4 C and D page .21

•Inv 2 ACE: #1 page. 52, #12 page. 54,

•Inv 3 Problem 3.2 A, ACE #9 page. 77, Problem 3.4 B and C page. 70

• Check-in 1 and Partner Quiz Inv 2

- Are there special conditions for the side lengths of a triangle?
- Can a triangle be built with any three side lengths? Explain.

Link to Math Warehouse Triangles sides and angles.

**Here are some images of our kids using the polystrips.**

In preparation for tomorrow's Skill's Quiz, please review your skills sheets, pay special attention to problems you had trouble with.

Try them again and check your answers. You can review the answers here.

If you'd like additional practice on specific problems, try these sheets:

Try them again and check your answers. You can review the answers here.

If you'd like additional practice on specific problems, try these sheets:

Students went over different methods of finding angle sums of any polygon from ripping corners to dividing shapes into triangles.

Here are some pictures of today's activity.

The students will review what is important in a polygon and how regular and irregular polygons compare. The goal is for students to develop formulas the sum of interior angles for a polygon of n sides.

S - Sum of all angles

S = 180 (n - 2)

when n = any number of sides of a polygon

A - measure of one angle

A = 180 (n - 2)/ n

OR

A = 180 - 360/n

when n = any number of sides of a polygon

- supplementary angle - angles that add up to 180˚
- complementary angle- angles that add up to 90˚

Here is a sheet to help with benchmark angles. This was given as a hard copy to all the students.

Estimating measures of an angle

Here is a helpful game estimating angles

Link to beehive game.

**HINT: Use your benchmark angles and estimate.**

Here is a helpful game estimating angles

Link to beehive game.

Access today's notes here.

Inv 1.1 and 1.2.

Focus Questions:

1. What properties do all polygon's share?

2. What are some common benchmark angles?

The Four in a Row game is a great way to learn benchmark angles

Focus Questions:

1. What properties do all polygon's share?

2. What are some common benchmark angles?

The Four in a Row game is a great way to learn benchmark angles

Diving into polygons!

In the first section of Shapes and Designs, students spent time defining the characteristics of polygons. Ask your student, "What makes a shape a polygon?" These shapes have some specific properties!

Next, everyone got some hands-on time, looking at a variety of shapes and categorizing them. Most groups categorized the shapes by the number of sides they had, but then many expanded those further into sub-categories. How many different categories can there be for quadrilaterals (four-sided polygons)?

Here is a picture of the students in action with the shape sets.

In the first section of Shapes and Designs, students spent time defining the characteristics of polygons. Ask your student, "What makes a shape a polygon?" These shapes have some specific properties!

Next, everyone got some hands-on time, looking at a variety of shapes and categorizing them. Most groups categorized the shapes by the number of sides they had, but then many expanded those further into sub-categories. How many different categories can there be for quadrilaterals (four-sided polygons)?

Here is a picture of the students in action with the shape sets.

Welcome back!

Our first Unit of Study will be:

We will cover the following Common Core Standards-

All Investigations - 7.EE.A.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

Investigation 2 - 7.EE.B.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Investigation 2 - 7.G.A.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Investigations 1, 2, and 3 - 7.G.B.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

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