Geometry Ace vs Simultaneous Equations

Geometry Ace is a fusion between a graphics based calculator and a geometry textbook. Detailed step-by-step solutions update as you create new math problems by changing the graphics. Learn vocabulary with unlimited examples. Points, Lines, Segments, Rays, Angles, Triangles, Quadrilaterals, Polygons, and Circles. Transformations and Constructions. Full functionality with no ads or in-app purchases. Great classroom or home resource for elementary, middle, and high school students and teachers. *** Easy Start-up *** • Simply choose shape to study. • Shape will already be on the screen and all you have to do is start manipulating it. • Learn vocabulary, choose from list of tutorials, perform transformations, or create a construction. *** Detailed problem solutions update as you change the graphics. *** • You are not limited to a set of pre-written or randomly generated problems. • Tutorial examples: finding the length of a line segment, finding the area of any type of quadrilateral, calculating the length of an arc, and many more. • Geometry Ace does not simply calculate lengths and areas for you. It shows you step-by-step how to do it! *** Includes introductory material and makes connections with algebra. *** • Introductory material appropriate for upper elementary students is included. • Helps with differentiation. Middle and high school students who need a refresher can review introductory topics. • Algebra topics needed for coordinate geometry are included. • Introductory topics include coordinates of a point, slope, and the equation of a line. • Answers to problems are given in fraction form when possible. • Solutions address common student misconceptions and give attention to detail. *** Interactive definitions *** • Relevant definitions highlight interactively as you drag points and lines to change the shape on the screen to meet various attributes. • Example: A triangle can be obtuse, oblique, and scalene. • Example: A polygon can be concave and irregular. • Definitions are inclusive. Example: A quadrilateral that is a rectangle is also a parallelogram and a trapezoid. *** Transformations: Rotations, Reflections, and Translations *** • Easily change degrees of rotation, center of rotation, line of reflection, and translation vector. • Point mapping is shown! • Perform successive transformations on the same object. *** Constructions *** • Includes points, lines, segments, circles, perpendicular lines, parallel lines, tangents, and angle bisectors. • Easily make attachments to points, lines, circles, intersections, and midpoints. *** Monitor Students *** • Teachers can view student’s iPad screens who are on the same local wifi network and running this app. TOPICS AVAILABLE IN GEOMETRY ACE POINT: Coordinates Quadrants Distance between points LINE/RAY/SEMGENT: Slope Vertical, Horizontal Y-intercept Equation of line/ray/segment Distance between point and line Construct or write equation of parallel or perpendicular line Segment midpoint and length Construct or write equation of perpendicular bisector Intersection point of 2 lines Transversals Alternate interior angles Alternate exterior angles Corresponding angles Same side interior angles Vertical angles ANGLE: Vertex, Legs, Interior, Measure Acute, Right, Obtuse, Straight, Reflex Convert between degrees/radians Construct or write equation for angle bisector Congruent, Adjacent, Complimentary, Supplementary, Linear Pair, Vertical TRIANGLE: Acute, Obtuse, Right, Oblique, Equilateral, Isosceles, Scalene Perimeter Area – basic elementary Area – coordinate plane - algebra Area – box method Centroid, Circumcenter, Incenter QUADRILATERAL: Square, Rectangle, Rhombus, Parallelogram, Trapezoid, Kite Perimeter Area POLYGON: Triangle, Quadrilateral, Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon Convex, Concave Regular, Irregular Sum of interior angles CIRCLE: Radius, Diameter, Tangent, Secant, Chord Circumference Area Measure and length of an arc Area of a sector

Simultaneous Equations are a set of equations with two or more variables for which there are values that can satisfy all the equations simultaneously. The Simultaneous Equations app is an interactive tool designed to help teachers introduce the concepts related to simultaneous equations and demonstrates two methods for solving them. It provides students with an interactive learning device to help them better understand these important concepts. While using the app students set up the definitions of two lines. The lines are plotted on a coordinate grid. The coordinate pair for the intersection of the two lines represents the solution for the simultaneous equations. The Elimination and Substitution Methods are demonstrated. Designed in California by Dr. Fred Ventura, Simultaneous Equations is one of the apps in the Math Power Series. Simultaneous Equations turns your iPad into a mathematical playground for introducing the coordinate plane, ordered pairs, slope, y-intercept, and the graphical, substitution and elimination methods for solving simultaneous equations. The primary objective for this app is to provide a method for students to visualize simultaneous equations graphed on a coordinate grid and to learn the substitution and elimination methods for finding a solution algebraically. Tap the table icon and begin defining an equation by using a slider to specify the slope and y-intercept of a line. Tap the plot button to graph the equation. Use the same procedure to define a second equation. Tap either the substitution or elimination icon to open a note and see the algebraic steps involved in finding the solution. Tap the question mark icon to start the quiz and measure a students understanding using randomly generated problems. Tap the notebook icon to begin reading an illustrated lesson that includes information about real-world applications for simultaneuos equations.. Simultaneous Equations turns your iPad into a power tool for teaching the concepts related to solving simultaneous equations using the graphical, substitution and elimination methods. Use Simultaneous Equations to create a presentation while illustrating and discussing the key principles of analytic geometry. Simultaneous Equation is perfect for algebra students in middle school and high school classrooms. Enrich your mathematics curriculum with the power of Simultaneous Equations!