:
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: [email protected]://www.uark.edu/~k12 info/
Presented by:
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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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
- 1
x
From Developing Concepts Using Algebra Tiles
1
1
1
1
1 1
1
1
1
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 =
- x
- x- 1
- 1
1 1
1
1- x
- x
- 1
- 1
1
1
1
1
1
1
1 1
1
1
1
1
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
1 11 1