Investigation 1.1 and 1.2 Notes and Information

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

Problem 1.1

Focus Question: How can you find the total value of a combination of positive and negative numbers?

Problem 1.2

Focus Question: How can you use the number line to compare two numbers?

Comparing Integers

Accentuate the Negative Unit 2

Link to our Accentuate the Negative Page and Parent Letter
Click here to access

Unit Goals:

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.


Important concepts outlined below.

Math Team Challenge #2

Math Team Challenge #2 10/17/16

1. 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?

2. 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?  

3. 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?

Investigation 3.2- Designing Triangles

Focus Question: What's the smallest number of side and angle measurements that will tell you how to draw an exact copy of any given triangle?

We started this investigation on Friday looking at the idea of recreating an exact triangle from specific directions. Some of these included: side-angle-side, angle-side-angle...

Shapes and Design Unit Test Review

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!

Final Study Guide - Shapes and Designs

1. Draw, construct and describe geometrical figures and describe relationships between 
2. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Review - Investigation 1 

    1. Sorting and sketching of regular polygon (specific to parallelogram and triangle)
    2. Benchmark angles
    3. Measuring angles

Review - Investigation 2

    1. Formulas - sum of angles in a regular polygon (n = the number of sides in polygon)
        • S (sum of angles) = 180 (n-2)
        • A (individual angle in a polygon) = 180 (n-2) / n
    2. Finding exterior angles in a polygon.

Review - Investigation 3

    1. Sides lengths and forming triangles:
        • 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 work to review:

    • Warm-up problems (Do Nows)
    • 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

Review Practice Sheet

Review Practice Sheet Answer Key

Inv 3.1

Focus Questions: What combinations of three side lengths can be used to make a triangle? How many different shapes are possible for such a combination of side lengths?

Additional questions:  

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

Click here to access the virtual polystrips

Link to Math Warehouse Triangles sides and angles.

Here are some images of our kids using the polystrips.

Practice for the Skills Quiz

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:

Order of Operations

Percents

Multiplying and Dividing Mixed Numbers

Subtracting Mixed Numbers

Dividing Decimals

Inv 2.3 - Tiling and Tessalations

Focus Question: Which regular polygons can be used to tile a surface without overlaps or gaps, and how do you know that your answer is correct?

Tessellation Link- 

Click here to access

Or 

Pattern Blocks - 

Click here