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CATHY JONESSecondary Math Instruction SpecialistCenter for Mathematics and Science EducationArkansas NASA Education Resource Center346 N. West Avenue, Room 202Fayetteville, Arkansas 72701(479) 575-3875(479) 575-5680 (FAX)e-mail: cej001@uark.eduhttp://www.uark.edu/~k12 info/

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Related Activities

for End-of-Course

Algebra I

Part I

Simplifying radicals: NUTSHELL MATH http://www.nutshellmath.com

Independent & Dependent Variables: AIMS Proportional Reasoning…Mystery Mass

Slope and Parallel & Perpendicular Line: Modeling Mathematics Perpendicular Lines on a Coordinate Plane Slope Activity

Solving Quadratics: Solving Quadratic Equations with Algebra Tiles

Geometric Patterns: Building Algebraic Thinking with Progressive Pattern

http://www.nutshellmath.com/

From AIMS

Find the MASS of your objects using INDIRECT measurement.

Complete your MYSTERY MASS table.

Construct your graphs. Be sure to label and number the axes.

Graph a line for each of the two pans. Be sure to show if the data is discrete or continuous. Complete the worksheets.

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Factor 2x2 + 5x + 3 Using algebra tiles, build a rectangle containing the tiles specified in this problem: 2…x2-tiles, 5…x-tiles and 3…1-tiles.  Here is one possible arrangement:  

After the pattern is established, it can be seen that the top edge of the pattern (the length) is composed of tiles with dimensions 2x + 3.  The side edge of the pattern (the width) is composed of tiles with dimensions x + 1.Consequently,  2x2 + 5x + 3 = (2x + 3)(x + 1).    

Factoring with Algebra Tiles

Key: - x- 1- 1 1

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From Developing Concepts Using Algebra Tiles

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Solve x2 – 6x – 4 = 3Choose the tiles to set up the problem and place them in a square, if possible. Use 1…x2 tile, 6…-x tiles, and 4…-1 tiles. 

Here is one arrangement:

The square on the left is incomplete. The 4…-1 tiles do not complete the square model. Add 4…+1 tiles to both sides of the equation. The ones on the left now are ZERO, so remove them.Now add enough +1 tiles on the left to complete the square model. Add the same to the right of the equal sign to also make a square.

Solving Quadratic Equations

with Algebra Tiles- x - X =

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Across the bottom see that –x + 3 = 4 and down the right side see that –x + 3 = 4.

To the right of the equal sign is 42 but it could also be (-4)2 so solve both equations: -x + 3 = 4 and –x + 3 = -4.

Solution: x = -1 or x = 7

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