Mathematics Algebra 1

Graphing

Slope and linear functions 

Quadratic equations and functions

Probability and Statistics

(grade level expectations or standards)

Translate verbal phrases into mathematical expression

Identify and combine like terms

Evaluate algebraic expressions

Simplify expressions using order of operations and algebraic properties

multiply polynomials  

represent functions with function notation, in tables, verbally and graphically

organize data in tables

create scatter plots

define/identify independent and dependent variables

describe the relationship between independent and dependent variables

make predictions from graphs and tables

determine the relationship between sets of data as positive, negative or no correlation

describe a real situation that can be interpreted from time-distance graphs

choose appropriate scales and viewing windows

use recursive routines to generate tables and solve problems

Determine the domain and range of functions

Solve real world problems that incorporate limited (i.e. discrete) domain and range

Use function notation to illustrate the relationship between two sets of data

Identify and interpret x- and y-intercepts of linear functions from equations, tables, graphs and real world data

Graph linear functions from “standard form.”

Solve problems with y-intercept as the initial value of the function 

define slope algebraically as a rate of change and geometrically as a ratio

calculate slope using graphical analysis or two coordinates

solve problems using ratio, rates, and proportions as slope

express and graph linear functions in slope-intercept form and point-slope form

determine the equation of a line given:

1. slope and y-intercept
2. 2 points
3. Graph
4. slope equal to zero or undefined
5. data set and linear regression

use multiple strategies (algebraic, coordinate geometry) to determine if pairs of lines are parallel, perpendicular or neither.

Solve coordinate geometry problems involving parallel and perpendicular lines

Solve problems involving parallel and perpendicular lines

solve linear function problems using recursive routines

Make predictions (extrapolate and interpolate) from data tables and graphs

Model direct and inverse variation algebraically

Solve direct and inverse variation problems

Solve and graph the solution sets of linear inequalities

Use inequalities to represent real world phenoma

Make predictions from the graphs of linear inequalities

Solve systems of linear equations using:

1. Graphing (manually and with calculator)
2. Tables

Model and solve “break even” problems 

Define  quadratic functions and equations

Solve simple quadratic equations by:

1. graphing
2. extraction of roots
3. 0-factor property

Generate graphs of quadratic functions with tables and regression models.

Use technology to model real world data

Use technology to solve problems using vertex (max/min) and roots (zeros) of quadratic functions over real numbers 
 

use recursive routines to model exponential phenomena

use technology to graph exponential functions

solve problems from the graphs of exponential functions

describe the behavior of the graphs of exponential functions 

express probability as a ratio and a percent

solve probability problems using proportions

calculate the likelihood of the occurrence of an event

1. experimentally
2. theoretically

solve problems using the basic counting principles, permutations, and combinations

collect, display, interpret, and draw conclusions from real data (bar graphs, line graphs, circle graphs, histograms)

define groups within a statistical population using percents and proportions

calculate/find measures of central tendency (mean, median, mode)

1. manually
2. with technology

use linear regression to model bi-variant data

determine and/or defend whether a representation of data is accurate or misleading  

(names only)

Extending to Symbols

Line ‘Em Up

Equations of Attack

Growth Rate

Escape From the Tomb

Determining Functions Using Regression

Predicting Your Financial Future

Explorations with Chance

Probability Explorations

Supporting Materials

(text, calcs, manips)

Visual Aids

Graphing Calculators

Graph paper

Illuminations

TI website

Visual Aids

Graphing Calculators

Graph paper

Illuminations

TI website

Visual Aids

Graphing Calculators

Graph paper

Illuminations

TI website

Visual Aids

Graphing Calculators

Graph paper

Illuminations

TI website