1. Doug Smeltz Fort Hayes Arts/Academic H.S. dsmeltz@columbus.rr.com
Algebra 1
Doug Smeltz
Fort Hayes
Arts/Academic H.S.

2. Big Ideas
All students at Fort Hayes take 4 years of mathematics instruction
Algebra 1 and Geometry can not be repeated at Fort Hayes
Algebra 1 is double blocked (80 minutes per day, every day)

3. Mastery Testing Mastery tests are predetermined for each nine weeks
Mastery tests will be retested until a 75% or above level is reached
If all mastery tests are passed, the student receives a 60% passing score no matter what happens with the other grades.

4. Mastery Tests (Continued)
No student can pass for the nine weeks without passing all mastery tests with at least a 75% score
No student will receive credit without passing all masteries.
Mastery tests will be given in class until more that 50% of the students are successful.

5. Calculator Philosophy
Students will learn how to incorporate the calculator to support their algebraic paperwork.
Students will not become dependent on the calculator but rather comfortable with technology and it’s value to empower a student to know when they are correct.

6. Testing
Weekly tests
Spiral Testing – Material from previous tests not mastered will be repeated.
Unit test on week 9 replaces lowest score.
If more than 5 weekly tests occur, low score is dropped.

7. Research http://www.math.ohio-state.edu/~elaughba/
IMPLEMENTATION TO A FUNCTION APPROACH
Function Implementation Document

8. Approach Arithmetic Expressions (2*8 –9*3)
Algebraic Expressions (2x –7)
Real Life linear relationships
Linear Functions y = -3x -4
Linear Equations 3x + 4 = 2x + 7
Linear inequalities x –2 < 3x +2
Linear function inequalities y < 2x -7

9. Arithmetic Expressions
Simplify any expression involving adding, subtracting, multiplying, and dividing.
ALGTEST 0 AND ALGTEST1 using the TI-82/83/83+/92
45 correct of 50 questions in 5 minutes
Record progress and praise improvement

10. Algebraic Expressions
Add, Subtract, Multiply, and Divide any two monomials. (Linear Monomials)
ALGTEST2 is required 45/50 in 5 minutes
Understand the concept of variable and get comfortable with the abstraction
Start talk about input and output

11. Distributive Property
ALGTESTD
Level 0,1,2
3(x-1)
3x(2x+1)
3x^2(4x^2 + 3x)

12. Function Machine A list of all input would be the Domain!
A list of all output would be the Range!

13. Function Machines Concept of Input vs. Output Words vs. Expressions
Concept of Domain vs. Range
Concept of independent vs. dependent
Function Notation

14. Word Description Example
Input | Output
-3 | -3
| 3
0 | 6
| 12

15. Using the TI-83 to Illustrated Input/Output

16. Linear Functions
Given expressions in the form of ax+b where a and b are constants and x is a variable
Tables (x, ax+b) talk about change in x and the resulting change in ax+b. Introduce independent(x) /dependent(ax+b)
Scatter Plots (x, ax+b)
Y= use graphing y = ax+b

17. Function Notation on TI-83

18. Linear Equations Form : a x + b = c x + b Simplify to that form
Talk about each side and its representation graphically. Help them see relationship of linear functions and linear equations.
Find solution graphically (y = a x+b and
y = c x + d)
Solve algebraically

19. Linear Inequalities Form : a x + b < c x + d
Look at tables, graphs of expressions
Learn process to solve algebraically but check graphically
Test menu on TI-83 to graph boolean expressions : y = a x + b < c x + d
TI-83 Program INEQUAL

20. Inequalities in two variables
Linear Function inequalities
Shading
Solving for y to get into the form
y < a x + b

21. Info – Papers - Programs
Get T.I. Interactive –either buy or download demo and buy later at education.ti.com
Using T.I. Interactive, go to my website at
Click on Algebra Tab
Download tests, mastery tests, this PowerPoint presentation