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

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)

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.

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.

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.

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.

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

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

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

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

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

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

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

Word Description Example Input | Output -3 | -3 -1 | 3 0 | 6 2 | 12

Using the TI-83 to Illustrated Input/Output

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

Function Notation on TI-83

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

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

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

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 www.dsmeltz.eboard.com Click on Algebra Tab Download tests, mastery tests, this PowerPoint presentation