Shared Gizmo List: Polk Co.

Next Generation Standards
Algebra IAlgebra I

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Shared by an elementary school math and science teacher in Virginia.

Math

9th Grade Algebra

MA.912.A.2.3

Function Machines 1 (Functions and Tables) Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph.
  5 Minute Preview   Lesson Info
Function Machines 2 (Functions, Tables, and Graphs) Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph.
  5 Minute Preview   Lesson Info
Function Machines 3 (Functions and Problem Solving) Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph.
  5 Minute Preview   Lesson Info
Linear Functions Determine if a relation is a function from the mapping diagram, ordered pairs, or graph. Use the graph to determine if it is linear.
  5 Minute Preview   Lesson Info

MA.912.A.2.4

Introduction to Functions Determine if a relation is a function using the mapping diagram, ordered pairs, or the graph of the relation. Drag arrows from the domain to the range, type in ordered pairs, or drag points to the graph to add inputs and outputs to the relation.
  5 Minute Preview   Lesson Info

MA.912.A.3.1

Road Trip (Problem Solving) Plan a cross-country road trip through various U.S. state capitals. First choose a vehicle to drive, and then fill up the tank with gas and go! Find the range and gas mileage of each vehicle, and discover the shortest path between two cities.
  Free   Lesson Info
Solving Equations by Graphing Each Side Solve an equation by graphing each side and finding the intersection of the lines. Vary the coefficients in the equation and explore how the graph changes in response.
  5 Minute Preview   Lesson Info

MA.912.A.3.2

Modeling and Solving Two-Step Equations Solve a two-step equation using a cup-and-counter model. Use step-by-step feedback to diagnose and correct incorrect steps.
  5 Minute Preview   Lesson Info
Solving Two-Step Equations Choose the correct steps to solve a two-step equation. Use the feedback to diagnose incorrect steps.
  5 Minute Preview   Lesson Info

MA.912.A.3.3

Solving Formulas for any Variable Choose the correct steps to solve a formula for a given variable. Use the feedback to diagnose incorrect steps.
  5 Minute Preview   Lesson Info

MA.912.A.3.4

Compound Inequalities Explore the graphs of two inequalities and find their union or intersection. Determine the relationship between the endpoints of the inequalities and the endpoints of the compound inequality.
  5 Minute Preview   Lesson Info
Absolute Value Equations and Inequalities Solve an inequality involving absolute values using a graph of the absolute-value function. Vary the terms of the absolute-value function and vary the value that you are comparing it to. Then explore how the graph and solution set change in response.
  5 Minute Preview   Lesson Info
Linear Inequalities in Two Variables Find the solution set to a linear inequality in two variables using the graph of the linear inequality. Vary the terms of the inequality and vary the inequality symbol. Examine how the boundary line and shaded region change in response.
  5 Minute Preview   Lesson Info
Solving Linear Inequalities in One Variable Solve one-step inequalities in one variable. Graph the solution on a number line.
  5 Minute Preview   Lesson Info
Systems of Linear Inequalities (Slope-intercept form) Compare a system of linear inequalities to its graph. Vary the coefficients and inequality symbols in the system and explore how the boundary lines, shaded regions, and the intersection of the shaded regions change in response.
  5 Minute Preview   Lesson Info

MA.912.A.3.5

Modeling and Solving Two-Step Equations Solve a two-step equation using a cup-and-counter model. Use step-by-step feedback to diagnose and correct incorrect steps.
  5 Minute Preview   Lesson Info
Solving Linear Inequalities in One Variable Solve one-step inequalities in one variable. Graph the solution on a number line.
  5 Minute Preview   Lesson Info
Solving Two-Step Equations Choose the correct steps to solve a two-step equation. Use the feedback to diagnose incorrect steps.
  5 Minute Preview   Lesson Info

MA.912.A.3.7

Defining a Line with Two Points (Classic) Place two points wherever you like. Compute the slope of the line between them. View the equation of that line in slope-intercept and point-slope form.
  5 Minute Preview   Lesson Info
Slope-Intercept Form of a Line Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Standard Form of a Line Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Points, Lines, and Equations Compare the graph of a linear function to its rule and to a table of its values. Change the function by dragging two points on the line. Examine how the rule and table change.
  5 Minute Preview   Lesson Info

MA.912.A.3.8 and MA.912.A.3.9

Defining a Line with Two Points (Classic) Place two points wherever you like. Compute the slope of the line between them. View the equation of that line in slope-intercept and point-slope form.
  5 Minute Preview   Lesson Info
Function Machines 2 (Functions, Tables, and Graphs) Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph.
  5 Minute Preview   Lesson Info
Point-Slope Form of a Line Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Slope Explore the slope of a line, and learn how to calculate slope. Adjust the line by moving points that are on the line, and see how its slope changes.
  Free   Lesson Info
Slope-Intercept Form of a Line Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Standard Form of a Line Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Points, Lines, and Equations Compare the graph of a linear function to its rule and to a table of its values. Change the function by dragging two points on the line. Examine how the rule and table change.
  5 Minute Preview   Lesson Info

MA.912.A.3.10

Slope Explore the slope of a line, and learn how to calculate slope. Adjust the line by moving points that are on the line, and see how its slope changes.
  Free   Lesson Info

MA.912.A.3.11

Defining a Line with Two Points (Classic) Place two points wherever you like. Compute the slope of the line between them. View the equation of that line in slope-intercept and point-slope form.
  5 Minute Preview   Lesson Info
Direct and Inverse Variation Adjust the constant of variation and explore how the graph of the direct or inverse variation function changes in response. Compare direct variation functions to inverse variation functions.
  5 Minute Preview   Lesson Info
Cat and Mouse (Modeling with Linear Systems) Experiment with a system of two lines representing a cat-and-mouse chase. Adjust the speeds of the cat and mouse and the head start of the mouse, and immediately see the effects on the graph and on the chase. Connect real-world meaning to slope, y-intercept, and the intersection of lines.
  5 Minute Preview   Lesson Info
Point-Slope Form of a Line Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Slope Explore the slope of a line, and learn how to calculate slope. Adjust the line by moving points that are on the line, and see how its slope changes.
  Free   Lesson Info
Slope-Intercept Form of a Line Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Standard Form of a Line Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info

MA.912.A.3.12

Defining a Line with Two Points (Classic) Place two points wherever you like. Compute the slope of the line between them. View the equation of that line in slope-intercept and point-slope form.
  5 Minute Preview   Lesson Info
Absolute Value Equations and Inequalities Solve an inequality involving absolute values using a graph of the absolute-value function. Vary the terms of the absolute-value function and vary the value that you are comparing it to. Then explore how the graph and solution set change in response.
  5 Minute Preview   Lesson Info
Linear Inequalities in Two Variables Find the solution set to a linear inequality in two variables using the graph of the linear inequality. Vary the terms of the inequality and vary the inequality symbol. Examine how the boundary line and shaded region change in response.
  5 Minute Preview   Lesson Info
Linear Programming Use the graph of the feasible region to find the maximum or minimum value of the objective function. Vary the coefficients of the objective function and vary the constraints. Explore how the graph of the feasible region changes in response.
  Free   Lesson Info
Point-Slope Form of a Line Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Slope-Intercept Form of a Line Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Solving Linear Inequalities in One Variable Solve one-step inequalities in one variable. Graph the solution on a number line.
  5 Minute Preview   Lesson Info
Standard Form of a Line Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Systems of Linear Inequalities (Slope-intercept form) Compare a system of linear inequalities to its graph. Vary the coefficients and inequality symbols in the system and explore how the boundary lines, shaded regions, and the intersection of the shaded regions change in response.
  5 Minute Preview   Lesson Info

MA.912.A.3.13

Cat and Mouse (Modeling with Linear Systems) Experiment with a system of two lines representing a cat-and-mouse chase. Adjust the speeds of the cat and mouse and the head start of the mouse, and immediately see the effects on the graph and on the chase. Connect real-world meaning to slope, y-intercept, and the intersection of lines.
  5 Minute Preview   Lesson Info
Solving Linear Systems (Standard Form) Solve systems of linear equations, written in standard form. Explore what it means to solve systems algebraically (with substitution or elimination) and graphically. Also, use a draggable green point to see what it means when (x, y) values are solutions of an equation, or of a system of equations.
  5 Minute Preview   Lesson Info
Solving Linear Systems (Matrices and Special Solutions) Explore systems of linear equations, and how many solutions a system can have. Express systems in matrix form. See how the determinant of the coefficient matrix reveals how many solutions a system of equations has. Also, use a draggable green point to see what it means for an (x, y) point to be a solution of an equation, or of a system of equations.
  5 Minute Preview   Lesson Info
Systems of Linear Inequalities (Slope-intercept form) Compare a system of linear inequalities to its graph. Vary the coefficients and inequality symbols in the system and explore how the boundary lines, shaded regions, and the intersection of the shaded regions change in response.
  5 Minute Preview   Lesson Info

MA.912.A.3.14

Solving Linear Systems (Slope-Intercept Form) Solve systems of linear equations, given in slope-intercept form, both graphically and algebraically. Use a draggable green point to examine what it means for an (x, y) point to be a solution of one equation, or of a system of two equations.
  5 Minute Preview   Lesson Info
Solving Linear Systems (Standard Form) Solve systems of linear equations, written in standard form. Explore what it means to solve systems algebraically (with substitution or elimination) and graphically. Also, use a draggable green point to see what it means when (x, y) values are solutions of an equation, or of a system of equations.
  5 Minute Preview   Lesson Info
Solving Linear Systems (Matrices and Special Solutions) Explore systems of linear equations, and how many solutions a system can have. Express systems in matrix form. See how the determinant of the coefficient matrix reveals how many solutions a system of equations has. Also, use a draggable green point to see what it means for an (x, y) point to be a solution of an equation, or of a system of equations.
  5 Minute Preview   Lesson Info

MA.912.A.3.15

Systems of Linear Inequalities (Slope-intercept form) Compare a system of linear inequalities to its graph. Vary the coefficients and inequality symbols in the system and explore how the boundary lines, shaded regions, and the intersection of the shaded regions change in response.
  5 Minute Preview   Lesson Info

MA.912.A.4.1

Dividing Exponential Expressions Choose the correct steps to divide exponential expressions. Use the feedback to diagnose incorrect steps.
  5 Minute Preview   Lesson Info
Exponents and Power Rules Choose the correct steps to simplify expressions with exponents using the rules of exponents and powers. Use feedback to diagnose incorrect steps.
  5 Minute Preview   Lesson Info
Multiplying Exponential Expressions Choose the correct steps to multiply exponential expressions. Use the feedback to diagnose incorrect steps.
  5 Minute Preview   Lesson Info

MA.912.A.4.2

Addition of Polynomials Add polynomials using an area model. Use step-by-step feedback to diagnose any mistakes.
  5 Minute Preview   Lesson Info

MA.912.A.4.3

Factoring Special Products Choose the correct steps to factor a polynomial involving perfect-square binomials, differences of squares, or constant factors. Use the feedback to diagnose incorrect steps.
  5 Minute Preview   Lesson Info
Modeling the Factorization of ax2+bx+c Factor a polynomial with a leading coefficient greater than 1 using an area model. Use step-by-step feedback to diagnose any mistakes.
  5 Minute Preview   Lesson Info
Modeling the Factorization of x2+bx+c Factor a polynomial with a leading coefficient equal to 1 using an area model. Use step-by-step feedback to diagnose any mistakes.
  5 Minute Preview   Lesson Info

MA.912.A.4.4

Dividing Exponential Expressions Choose the correct steps to divide exponential expressions. Use the feedback to diagnose incorrect steps.
  5 Minute Preview   Lesson Info

MA.912.A.5.1

Part-to-part and Part-to-whole Ratios Compare a ratio represented by an area with its percent, fraction, and decimal forms.
  5 Minute Preview   Lesson Info
Polling: Neighborhood Conduct a phone poll of citizens in a small neighborhood to determine their response to a yes-or-no question. Use the results to estimate the sentiment of the entire population. Investigate how the error of this estimate becomes smaller as more people are polled. Compare random versus non-random sampling.
  5 Minute Preview   Lesson Info

MA.912.A.6.1

Simplifying Radical Expressions Simplify a radical expression. Use step-by-step feedback to diagnose any incorrect steps.
  5 Minute Preview   Lesson Info

MA.912.A.6.2

Operations with Radical Expressions Identify the correct steps to complete operations with a radical expression. Use step-by-step feedback to diagnose incorrect steps.
  5 Minute Preview   Lesson Info
Simplifying Radical Expressions Simplify a radical expression. Use step-by-step feedback to diagnose any incorrect steps.
  5 Minute Preview   Lesson Info
Square Roots Explore the meaning of square roots using an area model. Use the side length of a square to find the square root of a decimal number or a whole number.
  Free   Lesson Info

MA.912.A.7.2

Factoring Special Products Choose the correct steps to factor a polynomial involving perfect-square binomials, differences of squares, or constant factors. Use the feedback to diagnose incorrect steps.
  5 Minute Preview   Lesson Info
Modeling the Factorization of x2+bx+c Factor a polynomial with a leading coefficient equal to 1 using an area model. Use step-by-step feedback to diagnose any mistakes.
  5 Minute Preview   Lesson Info

MA.912.D.7.2

Arithmetic and Geometric Sequences Find the value of individual terms in an arithmetic or geometric sequence using graphs of the sequence and direct computation. Vary the common difference and common ratio and examine how the sequence changes in response.
  5 Minute Preview   Lesson Info