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Mathematics LibreTexts

PhET Simulations

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    The PhET Interactive Simulations project at the University of Colorado Boulder creates free interactive math and science simulations. PhET sims are based on extensive education research and engage students through an intuitive, game-like environment where students learn through exploration and discovery.

    • PhET: Area Builder
      Create your own shapes using colorful blocks and explore the relationship between perimeter and area. Compare the area and perimeter of two shapes side-by-side. Challenge yourself in the game screen to build shapes or find the area of funky figures. Try to collect lots of stars!
    • PhET: Area Model Algebra
      Build rectangles of various sizes and relate multiplication to area. Discover new strategies for multiplying algebraic expressions. Use the game screen to test your multiplication and factoring skills!
    • PhET: Area Model Decimals
      Build rectangles of various sizes and relate multiplication to area. Partition a rectangle into smaller areas and discover new strategies for multiplying decimals!
    • PhET: Area Model Multiplication
      Build rectangles of various sizes and relate multiplication to area. Partition a rectangle into two areas to discover the distributive property.
    • PhET: Arithmetic
      Remember your multiplication tables? Practice your multiplication, division, and factoring skills with this exciting game. No calculators allowed!
    • PhET: Expression Exchange
      Build coin expressions, then exchange them for variable expressions. Simplify and evaluate expressions until you are ready to test your understanding of equivalent expressions in the game!
    • PhET: Fraction Matcher
      Match shapes and numbers to earn stars in this fractions game. Challenge yourself on any level you like. Try to collect lots of stars!
    • PhET: Function Builder
      Play with functions while you ponder Art History. Explore geometric transformations and transform your thinking about linear functions, then have fun figuring out the mystery functions!
    • PhET: Function Builder - Basics
      Play with functions while you ponder Art History. Look for patterns, then apply what you learned on the Mystery screen!
    • PhET: Graphing Lines
      Explore the world of lines. Investigate the relationships between linear equations, slope, and graphs of lines. Challenge yourself in the line game!
    • PhET: Graphing Slope-Intercept
      Explore slope-intercept form of a line. Connect the slope and y-intercept to the equation of the line. Challenge yourself in the line game!
    • PhET: Least-Squares Regression
      Create your own scatter plot or use real-world data and try to fit a line to it! Explore how individual data points affect the correlation coefficient and best-fit line.
    • PhET: Make a Ten
      Add numbers by making tens. Break apart and combine numbers while focusing on place value. Use the adding screen to add any two numbers. Use the game screen to apply your make-a-ten strategies!
    • PhET: Plinko Probability
      Drop balls through a triangular grid of pegs and see them accumulate in containers. Switch to a histogram view and compare the distribution of balls to an ideal binomial distribution. Adjust the binary probability and develop your knowledge of statistics!
    • PhET: Proportion Playground
      Play with ratios and proportions by designing a necklace, throwing paint balloons, playing billiards, or shopping for apples! Make predictions about proportions before they are revealed.
    • PhET: Trig Tour
      Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.
    • PhET: Unit Rates
      Discover the unit rate while shopping for fruits, vegetables, and candy. Construct a double number line and look for patterns. Challenge yourself on the race track as you compare cars with different rates!
    • PhET: Vector Addition
      Learn how to add vectors. Drag vectors onto a graph, change their length and angle, and sum them together. The magnitude, angle, and components of each vector can be displayed in several formats.