Tuesday, November 10, 2015

Adding and Subtracting positive and negative numbers - Online Help




Online Help Math is Fun Site:
Adding and Subtracting Negative Numbers
Click here to access


Positive and negative numbers on a number line

ATN Problem 1.4 In the Chips

How can you use a chip model to represent addition and subtraction?

In this investigation, we will be using chips to represent positive and negative integers. 

You may have heard the terms, "In the red" (meaning you owe or have a negative amount of money) and "In the black"(meaning have a positive amount of money)

In the image above, there are black positive chips and red negative chips on the board. Some red and black chips have already been put together in "zero pairs" that cancel each other out. Is this image "in the black" or "In the red"? How do you know?

Now try for yourself: 

Wednesday, November 4, 2015

Accentuate the Negative - Unit #2

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.


Saturday, October 24, 2015

Shapes and Designs Unit Test

We are finishing up our first math unit, Shapes and Designs. 
The Unit Test is scheduled for Thursday 10/29.
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

Thursday, October 22, 2015

Inv 3.3 - Polystrip and quadrilaterals

Focus Questions: 
1. What combination of side lengths can be used to make a quadrilateral.
2. How many different shapes are possible a set of side lengths.  


Since the virtual polystrips can only got up to ten, use these number sets in place of the ones given in Problem A:
1.  3, 5, 8, 8
2.  2, 3, 5, 10
3.  8, 8, 10, 10
4.  6, 10, 3, 5
5. try your own!

Hint - Use the attach button seen below to link polystrips and allow them to move.


Thursday, October 15, 2015

Investigation 3.1 - Building Triangles

Focus Question:  
What combination of three side lengths can be used to make a triangle?


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.