Shared Gizmo List: Illinois HS Math - Number & Quantity

Gizmos aligned to the Illinois HS math standards for Number & Quantity.
Algebra IAlgebra IIGeometry

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Shared by an elementary school math and science teacher.

The Real Number System

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
Points in the Complex Plane Identify the imaginary and real coordinates of a point in the complex plane. Drag the point in the plane and investigate how the coordinates change in response.
  5 Minute Preview   Lesson Info
Rational Numbers, Opposites, and Absolute Values Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers.
  5 Minute Preview   Lesson Info

Quantities

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
Unit Conversions Use unit conversion tiles to convert from one unit to another. Tiles can be flipped to cancel units. Convert between metric units or between metric and U.S. customary units. Solve distance, time, speed, mass, volume, and density problems.
  5 Minute Preview   Lesson Info
Translating and Scaling Functions Vary the coefficients in the equation of a function and examine how the graph of the function is translated or scaled. Select different functions to translate and scale, and determine what they have in common.
  Free   Lesson Info
Similar Figures Vary the scale factor and rotation of an image and compare it to the preimage. Determine how the angle measures and side lengths of the two figures are related.
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Perimeters and Areas of Similar Figures Manipulate two similar figures and vary the scale factor to see what changes are possible under similarity. Explore how the perimeters and areas of two similar figures compare.
  5 Minute Preview   Lesson Info
Dilations Dilate a figure and investigate its resized image. See how scaling a figure affects the coordinates of its vertices, both in (x, y) form and in matrix form.
  5 Minute Preview   Lesson Info
Translating and Scaling Sine and Cosine Functions Experiment with the graph of a sine or cosine function. Explore how changing the values in the equation can translate or scale the graph of the function.
  5 Minute Preview   Lesson Info

The Complex Number System

Points in the Complex Plane Identify the imaginary and real coordinates of a point in the complex plane. Drag the point in the plane and investigate how the coordinates change in response.
  5 Minute Preview   Lesson Info
Roots of a Quadratic Find the root of a quadratic using its graph or the quadratic formula. Explore the graph of the roots and the point of symmetry in the complex plane. Compare the axis of symmetry and graph of the quadratic in the real plane.
  5 Minute Preview   Lesson Info

Vector and Matrix Quantities

Vectors Manipulate the magnitudes and directions of two vectors to generate a sum and learn vector addition. The x and y components can be displayed, along with the dot product of the two vectors.
  5 Minute Preview   Lesson Info
2D Collisions Investigate elastic collisions in two dimensions using two frictionless pucks. The mass, velocity, and initial position of each puck can be modified to create a variety of scenarios.
  5 Minute Preview   Lesson Info
Golf Range Try to get a hole in one by adjusting the velocity and launch angle of a golf ball. Explore the physics of projectile motion in a frictional or ideal setting. Horizontal and vertical velocity vectors can be displayed, as well as the path of the ball. The height of the golfer and the force of gravity are also adjustable.
  5 Minute Preview   Lesson Info
Adding Vectors Move, rotate, and resize two vectors in a plane. Find their resultant, both graphically and by direct computation.
  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