Extension Project for Stretching and Shrinking

When you complete your normal homework you can start the following project using the computer program Google Sketch-up.

You may have to install this from your Self Service.

Here is the introductory lesson

Click here to access

Here is a more challenging lesson.  

Click here to access

Investiagtion 2.1 Mug Wump!

Students are currently graphing Mug Wump and his impostors on coordinate graphs.  They are investigating how a "rule" will change the dimensions of an original shape.  Some rules will allow the shapes to be similar and some will not.  

Do you have any ideas which rules will change an image to be similar?

Use the following link to help you in plotting points on a coordinate graph.

Click here to access.

Hour of Code is Here!

Here is the link to get a USB Bracelet if you have completed the Hour of Code.

Click Here to Access

Find the link here to the activities.

Hour of Code Links

Novice Lessons: I have never tried programming

Blockly: Code With Anna and Elsa

Blockly: Write Your First Program

Scratch: Animate Your Name, Create a Holiday Card and Create a Pong Game

Tynker: Build Your Own Game

MIT App Inventor: App Inventor Hour of Code (Android device needed)

Apprentice Lessons: I have tried some programming and want to learn more

Khan Academy: Introduction to Javascript

Code Avengers: Learn to make a Javascript Quiz game

Code Combat: Play as a Wizard using code (spells) to control your heroes, navigate mazes, defeat ogres, trick enemies, and rescue allies! Learn JavaScript in this HTML 5 web game for complete beginners.

RoboMind Academy: Program a Virtual Robot

Ninja Lessons: I have learned at least two programming languages and want to go deeper

Code Academy: Learn Javascript

CodeHS: Learn to Code with Karel the Dog

Processing: Drawing With Code

GrokLearning: Learn Python (3 activities to learn the Python programming language)

Make Games With Us: Build an iPhone Game in Your Browser

Touch Develop: Crazy drawings, flying monsters, swirling flowers… create your apps on your device with TouchDevelop, a friendly mobile app creation environment. Runs on iPhone, iPad, Android, Windows, Windows Phone, Linux, Mac.

Students creating rubber band stretchers.

Students used rubber bands to make scaled sketches in the first investigation.

Here are some pictures of them working. 

Stretching and Shrinking Unit #3

Common Core Standards for this Unit:

• 7.RP.A.2 Recognize and represent proportional relationships between quantities.
• 7.RP.A.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
• 7.RP.A.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
• 7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems.

Goals for this Unit:

• Similar Figures Understand what it means for figures to be similar

- Identify similar figures by comparing corresponding sides and angles

- Use scale factors and ratios to describe relationships among the side lengths, perimeters, and areas of similar figures          

- Use algebraic rules to produce similar figures

- Recognize when a rule shrinks or enlarges a figure

• Reasoning With Similar Figures Develop strategies for using similar figures to solve problems

- Predict the ways that stretching or shrinking a figure will affect side lengths, angle measures, perimeters, and areas

- Use scale factors or ratios to find missing side lengths in a pair of similar figures

- Use similarity to solve real-world problems

Hour Of Code- Links to Coding

Calling all Coders!  

Come attempt to learn coding and the basics behind Computer Science.

Click here to access the Hour of Code - Frozen Coding

Click here to access - Flappy Bird Coding

The Hour of Code is a global movement reaching tens of millions of students in 180+ countries. One-hour tutorials are available in over 30 languages. No experience needed.Ages 4 to 104.

Start the Beta Version Early!

Practice Assessment- Accentuate the Negative

Click here to access the practice test.

Answer key to Practice Test and Important Concepts Sheet
Click here to access

Also good to review is Looking Back p. 97-98 in the text 
# 1, 3, 5, 7 and 8.

Accentuate the Negative Review Guide

Click here to access the Review Guide.

Accentuate the Negative Inv 4.1 Worksheet
This is a very good probe to understand if students know the order or operations and algorithms of integers!
Click here to access.

Multiplication Algorithms

Inetger Product Game

Here is the link to the online integer product game.

Click here to acccess.

Notes on Addition and Subtraction

Algorithms for Addition and Subtraction. - Click here to access.

Larger size of + or - equals larger absolute value.

Investigation 2.1 ACE - Important Problems to Review.

Click here to access the Notes on ACE Problems 11, 12, 14 and 17

Accentuate the Negative Online Games to Support Learning

Negative Numbers Ordering Game

Cyber Chase Game - PBS Kids

Orbit Integers

Math Fish Integer Game

Study Packet for Shapes and Designs Unit Test

Access the study packet and answers below.

Good luck and study hard!

Study Packet for Shapes and Designs

Click here to access

Answer Key for Study Packet -  Shapes and Designs

Click here to access

Study Guide for Shapes and Designs Unit Test

Click here to access Shapes and Designs Study Guide

Skills Review #-1-4 Worksheet

Here are the answers to the Skills Review #1-4 Sheet.

Click here to access.

Please check-in where you stand and get assistance with some of the areas you are having trouble with.

Tessellation Activity Link

Investigation 2.3 - Tessellation Link- 

Click here to access

Extra Help Worksheets and Site.

Link to Geometry and Regular Polygon Site

Click here to access

Investigation 2.1 Notes

The focus question is: What is the size of each angle and the sum of all angles in a regular polygon with n sides?

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
ORA = 180 - 360/n   
when n = any number of sides of a polygon

Investigation 1.5 - Drawing with a Ruler and Protractor

Focus Question: In a triangle, what measures of side length and angles give enough information to draw a figure?

Notes from class- click here to access
These notes cover the Investigation Questions A and B from class.

Investigation 1.4 Notes and Vocabulary

Investigation 1.4

Important vocabulary:

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

Here are the notes from today's class and the 1.3 and 1.4 homework.

Click here to access the notes.

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

Click here to access the worksheet.

Investigation 1.3 and 1.4 - Estimating and Measuring Angles.

Focus Questions:
1. How would you estimate the measure of an angle?
2. How do you measure an angle with an angle ruler or protractor?

Today we looked at how to estimate angles using benchmark angles and also how to use a protractor and angle ruler to confirm an angle.  

Here are some notes from today's Investigation 1.3
Click here to access

Online Help Videos:
Khan Academy - Using a Protractor

LearnZillion - Estimating Angles with Benchmark Angles


We also discussed questions students had on Skill Sheet #2.
Here are the notes from the front.
Here are the notes from the back of the sheet.

Investigation 1 - Estimating Angles - Fun Online Resources

Online Resources:

Enrich-Math - Estimating Angles

Alien Angles- Estimating Angles

Banana Hunt - Oswego.edu

Investigation 1.2 - Angles and Rotation

Focus Question: What are some common benchmark angles? 

Today students looked at the question, "What are some of the benchmark angles?"

Students were exposed to vocabulary words such as:

• acute
• obtuse
• initial side
• terminal side
• degrees
• right angle 
• straight angle

Here are some of the notes taken from today class.

We ended by playing a connect four game.  Lets see if our students can defeat their parents!

Investigation 1.1 - Sorting Polygons

Focus Question: What properties do all polygons have?  

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 are some notes taken from Investigation 1.1.

Math Skill Concepts

Skill Sheet #1 was handed out today.  This will be due by Friday, September 5th.
Click here to access Skills Page #1

You can find help on the following site for our skill problems.
Click here to Access Math Skills Help Videos

Click on the specific "Skills Topic" on the right hand side of the site to see the content specific video.

At the start of class each Wednesday we have time designated for Skills Questions.

Good luck!!

Welcome back to 7th Grade Math with Mr. Cuthbert and Mr. Hagerty

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.