# GeoGebra

Megan Yanes

## Using GeoGebra in the Classroom

Below, I have listed some topics from Algebra I Honors that I would teach using GeoGebra.

Data

• Make a scatter plot
• Variables
• evaluate variable expressions
• Use the order of operations to evaluate algebraic expressions
• Evaluate expressions containing exponents

Solving Equations

• Use tables and graphs to predict
• Find exact and approximate solutions to equations that contain decimals

Beginning Graphing

• Plot points on a coordinate plane
• Graph a linear equation using a table of values
• Interpret slope in real-life situations
• Write equations to represent direct variation
• Graph horizontal and vertical lines
• Find the intercepts of a linear equation or graph
• Use intercepts to make a quick graph of a linear equation
• Solve linear equations graphically

Formal Graphing

• Determine whether a linear model is appropriate
• Find a linear equation that approximates a set of data
• Use a linear model to make real-life predictions
• Write an equation of the line given two points on the line
• Use rates to model real-life problems
• Find the slope of a line using two points
• Use the point-slope form to write an equation of a line
• Use slope-intercept form to write the equation of a line
• Graph a linear equation given in slope-intercept form
• Write a linear equation in standard form

Inequalities

• Use inequalities to solve real-world problems
• Graph/solve linear inequalities in one variable
• Use linear inequalities in two variables to model and solve real-life problems
• Graph linear inequalities in two variables
• Use compound inequalities to model/solve real-life problems
• Write, solve and graph compound inequalities
• Solve absolute value equations and inequalities
• Graph absolute value equations and inequalities

Functions

• Use function notation to represent real-life situations
• Make input-output tables

Systems

• Use linear systems to model real-life situations
• Solve linear systems by graphing
• Identify linear systems as having one solution, no solution, or infinitely many solutions
• Solve a system of linear inequalities

Exponent laws

• Use properties of exponents to evaluate powers and simplify exponential expressions
• Write and use models for exponential growth and decay
• Graph models for exponential growth and decay
• Graph exponential functions

Square roots

• Evaluate and approximate square roots
• Use the Pythagorean theorem and its converse
• Find the distance and midpoint between two points

• Choose a model that best fits a collection of data
• Sketch the graph of a quadratic function
• Solve a quadratic equation graphically
• Solve quadratic equations by factoring
• Use the discriminant to find the number of solutions to a quadratic equation
• Relate factors and x-intercepts
• Sketch the graph of a quadratic inequality

Proportions, Variation

• Use rates and ratios to model real-life problems
• Use direct and inverse variations to model real life situations
• Solve direct and inverse variation equations

Rational Expressions

• Solve rational equations
• Graph rational functions