algebra 1 doug smeltz fort hayes arts/academic h.s. [email protected]
TRANSCRIPT
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!
Input
Output
Function Engine
Independent
Dependent
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
Input
Output
Add Two then multiply by 3
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