Simultaneous Equations vs Visual Order of Operations

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!

Visual Order of Operations helps students learn and practice the order of operations step by step. Students can evaluate randomly generated expressions or enter their own expressions. The app supports exponentiation, division, multiplication, addition, and subtraction with integers and decimals. Expressions can also include parentheses and nested parentheses. The app is designed to make each step visible. Students evaluate one operation at a time by tapping the operation they think should be solved next. If a student taps an operation that cannot be solved yet, the app explains why that choice is wrong. There are no penalties for wrong answers. After each step, the result of the current operation moves into the correct place and the rest of the expression moves down. This helps students see that only one part of the expression is solved at each step. Visual Order of Operations helps students understand that even a complicated expression can be handled one step at a time. Visual Operator Hierarchy: The app uses a “Boss Triangle” to show the order of operations visually. Exponents are shown at the top, multiplication and division in the middle, and addition and subtraction at the bottom. This gives students a visual model of the rules instead of relying only on mnemonics. Settings for Random Problems: - Allow multiplication - Allow division - Allow exponents - Allow negative numbers - Allow multi-digit numbers - Allow decimals - Allow parentheses - Allow nested parentheses Features: - Step-by-step order of operations practice - Randomly generated or manually entered expressions - Supports integers and decimals - Supports parentheses and nested parentheses - Visual explanation when an operation cannot be solved yet - Animated movement after each step - No penalties for wrong answers - Visual operator hierarchy with the Boss Triangle Other iDevBooks Math Apps: Other iDevBooks math apps include Visual Multiplication Table, Visual Fractions Decimals Percentages, Decimal Rounding, Whole Number Rounding, Column Subtraction, Column Addition, Long Division, Long Multiplication, Lattice Multiplication, Fraction Math, Partial Differences Subtraction, Partial Quotients Division, Partial Sums Addition, and more. Feedback: New ideas to make this app better are welcome. Please visit idevbooks.com to give feedback. Privacy: This app has no ads, no in-app purchases, and does not transmit user data during operation. The app also does not contain links to other apps or to the web.