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.

Thursday, October 8, 2015

Skills #1-4 Review and Extra Practice Sheets

Click here to access the Skills #1-4 Review Worksheet

Here are the answers:
1) 89 is median and mean is 88
2) 9
3) 13
4) 2 & 8/15
5) 2
6) 25%
7) 25 & 6/7
8) 9/81, 2/14, 1/6, 3/7, 5/6, 7/8
9) 92
10) 45
Bonus: radius = 6

MORE PRACTICE NEEDED?
The practice sheets cover the following skills:
  • order of operations
  • division of fractions
  • order of operations with fractions
  • percent of a number problems
  • decimal division