Inv 1.2 - Plotting Inequaltiies

EQ: How can you use a number line to compare two numbers?

Help Video
Plotting Inequalities

Symbols

Practice ONLINE!
Link to Practicing Plotting Inequalities

Inv 1.1 and 1.2

Helpful Links
Great site on adding and subtracting positive and negative numbers.

Great Site on Understanding the Number Line

Helpful link from Math Plant on Rational Numbers

GUIDED NOTES
Click here to access the guided notes to Inv 1.1 and 1.2


ESSENTIAL QUESTIONS

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 -Operations with Integers

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 Mob Challenge Games

1010!

KENKEN

Bloxorz

Hex Blocks

Shapes and Designs Study Guide for Assessment

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

The Unit Test is scheduled for Thursday/Friday 10/26 and 27th.

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.

Random Number Generator - Link

Helpful Links:

Click here to access the virtual polystrips

Link to Math Warehouse Triangles sides and angles.

Students working with Polystrips today to find out what combinations of side lengths will create triangles.

Investigation 2.3 and 2.4

Focus Question: What is the exterior angle of a polygon, and what do you know about the measures of exterior angles?

Notes from Class

Helpful site:

Math is Fun - Polygon angles

Helpful Video to Watch