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# Browse by Grade & Topic: Algebra

## Find Gizmos organized by grade level and topic.

See How FREE Gizmos WorkEquivalent Algebraic Expressions I

Grumpy’s Restaurant is now hiring! As a new chef at this underwater bistro, you’ll learn the basics of manipulating algebraic expressions. Learn how to make equivalent expressions using the...

Lesson Info Launch GizmoEquivalent Algebraic Expressions II

Continue your meteoric rise in the undersea culinary world in this follow-up to Equivalent Algebraic Expressions I. Make equivalent expressions by using the distributive property forwards...

Lesson Info Launch GizmoSimplifying Algebraic Expressions I

Meet Spidro, a quirky critter with an appetite for algebraic expressions! As Spidro's adopted owner, it's your responsibility to feed him so that he grows into… whatever it is that a Spidro...

Lesson Info Launch GizmoSimplifying Algebraic Expressions II

Will you adopt Spidro, Centeon, or Ping Bee? They're three very different critters with one thing in common: a hunger for simplified algebraic expressions! Learn how the distributive...

Lesson Info Launch GizmoSolving Algebraic Equations I

Are there times when you wish you could escape from everyone and just be alone? Meet our variable friend, a real loner who doesn't like coefficients and neighboring terms. Learn how to use...

Lesson Info Launch GizmoSolving Algebraic Equations II

FREE *with no time limit!*

Is solving equations tricky? If you know how to isolate a variable, you're halfway there. The other half? Don't do anything to upset the balance of an equation. Join our plucky variable...

Lesson Info Launch GizmoExploring Linear Inequalities in One Variable

Solve inequalities in one variable. Examine the inequality on a number line and determine which points are solutions to the inequality.

Lesson Info Launch GizmoModeling 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.

Lesson Info Launch GizmoModeling One-Step Equations

Solve a linear equation using a tile model. Use feedback to diagnose incorrect steps.

Lesson Info Launch GizmoOrder of Operations

Select and evaluate the operations in an expression following the correct order of operations.

Lesson Info Launch GizmoSolving 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.

Lesson Info Launch GizmoSolving Equations on the Number Line

Solve an equation involving decimals using dynamic arrows on a number line.

Lesson Info Launch GizmoSolving Formulas for any Variable

Choose the correct steps to solve a formula for a given variable. Use the feedback to diagnose incorrect steps.

Lesson Info Launch GizmoSolving Linear Inequalities in One Variable

Solve one-step inequalities in one variable. Graph the solution on a number line.

Lesson Info Launch GizmoSolving Two-Step Equations

Choose the correct steps to solve a two-step equation. Use the feedback to diagnose incorrect steps.

Lesson Info Launch GizmoUsing Algebraic Equations

Translate equations into English sentences and translate English sentences into equations. Read the equation or sentence and select word tiles or symbol tiles to form the corresponding...

Lesson Info Launch GizmoUsing Algebraic Expressions

Translate algebraic expressions into English phrases, and translate English phrases into algebraic expressions. Read the expression or phrase and select word tiles or symbol tiles to form...

Lesson Info Launch GizmoArithmetic Sequences

Find the value of individual terms in arithmetic sequences using graphs of the sequences and direct computation. Vary the common difference and examine how the sequences change in response.

Lesson Info Launch GizmoGeometric Sequences

Explore geometric sequences by varying the initial term and the common ratio and examining the graph. Compute specific terms in the sequence using the explicit and recursive formulas.

Lesson Info Launch GizmoFinding Patterns

Build a pattern to complete a sequence of patterns. Study a sequence of three patterns of squares in a grid and build the fourth pattern of the sequence in a grid.

Lesson Info Launch GizmoArithmetic 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...

Lesson Info Launch GizmoIntroduction to Functions

FREE *with no time limit!*

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...

Lesson Info Launch GizmoLinear 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.

Lesson Info Launch GizmoPoints, 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.

Lesson Info Launch GizmoSlope

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.

Lesson Info Launch GizmoPoints in the Coordinate Plane

Identify the coordinates of a point in the coordinate plane. Drag the point in the plane and investigate how the coordinates change in response.

Lesson Info Launch GizmoStandard 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.

Lesson Info Launch GizmoPoint-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.

Lesson Info Launch GizmoSlope-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.

Lesson Info Launch GizmoCat 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...

Lesson Info Launch GizmoSolving 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...

Lesson Info Launch GizmoDirect 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...

Lesson Info Launch GizmoLinear 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...

Lesson Info Launch GizmoLeast-Squares Best Fit Lines

Fit a line to the data in a scatter plot using your own judgment. Then compare the least squares line of best fit.

Lesson Info Launch GizmoDistance-Time Graphs

Create a graph of a runner's position versus time and watch the runner complete a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the speed...

Lesson Info Launch GizmoCompound Interest

FREE *with no time limit!*

Explore compound interest in-depth, from compounded annually to compounded continuously. In addition, compare the END POINTS graph, with dots that fit an exponential curve, to the ALL TIME...

Lesson Info Launch GizmoDistance-Time and Velocity-Time Graphs

Create a graph of a runner's position versus time and watch the runner run a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the velocity...

Lesson Info Launch GizmoCat and Mouse (Modeling with Linear Systems) - Metric

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...

Lesson Info Launch GizmoDistance-Time Graphs - Metric

Create a graph of a runner's position versus time and watch the runner complete a 40-meter dash based on the graph you made. Notice the connection between the slope of the line and the...

Lesson Info Launch GizmoDistance-Time and Velocity-Time Graphs - Metric

Create a graph of a runner's position versus time and watch the runner run a 40-meter dash based on the graph you made. Notice the connection between the slope of the line and the velocity...

Lesson Info Launch GizmoAddition of Polynomials

Add polynomials using an area model. Use step-by-step feedback to diagnose any mistakes.

Lesson Info Launch GizmoExponential Functions

FREE *with no time limit!*

Explore the graph of an exponential function. Vary the coefficient and base of the function and investigate the changes to the graph of the function.

Lesson Info Launch GizmoPolynomials and Linear Factors

Create a polynomial as a product of linear factors. Vary the values in the linear factors to see how their connection to the roots of the function.

Lesson Info Launch GizmoSolving Algebraic Equations II

FREE *with no time limit!*

Is solving equations tricky? If you know how to isolate a variable, you're halfway there. The other half? Don't do anything to upset the balance of an equation. Join our plucky variable...

Lesson Info Launch GizmoIntroduction to Functions

FREE *with no time limit!*

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...

Lesson Info Launch GizmoCompound Interest

FREE *with no time limit!*

Explore compound interest in-depth, from compounded annually to compounded continuously. In addition, compare the END POINTS graph, with dots that fit an exponential curve, to the ALL TIME...

Lesson Info Launch GizmoExponential Functions

FREE *with no time limit!*

Explore the graph of an exponential function. Vary the coefficient and base of the function and investigate the changes to the graph of the function.

Lesson Info Launch GizmoHow Free Gizmos Work

Start teaching with
**20-40 Free Gizmos**. See the full list.

Access **lesson materials** for Free Gizmos including teacher guides, lesson plans, and more.

All other Gizmos are limited to a **5 Minute Preview** and can only be used for 5 minutes a day.

**Free Gizmos change each semester.** The new collection will be available Dec 01, 2023.

About STEM Cases

Students assume the role of a scientist trying to solve a real world problem. They use scientific practices to collect and analyze data, and form and test a hypothesis as they solve the problems.

Each STEM Case uses realtime reporting to show live student results.

Introduction to the Heatmap

STEM Cases take between 30-90 minutes for students to complete, depending on the case.

Student progress is automatically saved so that STEM Cases can be completed over multiple sessions.

Multiple grade-appropriate versions, or levels, exist for each STEM Case.

Each STEM Case level has an associated Handbook. These are interactive guides that focus on the science concepts underlying the case.

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