Hands vs Simultaneous Equations

Hands-On Equations is the fun way to learn algebra for kids age 8 and up. 1. Imagine your child CONFIDENTIALLY solving algebra equations after just three lessons! Using blue pawns, numbered cubes, and a visual balance model, students quickly discover that algebra can be clear, intuitive, and enjoyable. Instead of memorizing rules, they develop a genuine understanding of the mathematical concepts they are learning. The Hands-On Equations math app transforms algebra into an engaging math learning experience. Along the way, they experience the excitement and satisfaction of solving equations such as 4x + 3 = 3x + 9 in just three lessons, and equations such as 2(2x + 1) = 3x + 10 in just six lessons. These equations are typically not introduced to students until middle school. Yet, your child, age 8 and up, can experience success and joy in solving these algebra equations! These equations are typically not introduced to students until middle school. Yet, your child, age 8 and up, can experience success and joy in solving these algebra equations! ________________________________________ 2. Why children love Hands-On Equations Every lesson builds on previous success through carefully sequenced activities that make abstract algebra visual and easy to understand. Students don't simply learn procedures—they understand why each step works. The elegant instructional design and intuitive app experience make learning algebra both rapid and enjoyable. Students find that this visual learning enables them to solve algebra equations in a few short lessons. Students love the ease with which they can manipulate the blue pawns and numbered cubes, sliding them on and off the balance scale as they solve increasingly challenging equations. The app's elegant simplicity creates a pleasant, intuitive, and highly satisfying learning experience. ________________________________________ 3. What Students Learn in the Hands-On Equations Level 1 App Throughout the six carefully sequenced lessons and one review lesson, students learn: • the meaning of equivalence • algebraic notation • how to check solutions • legal moves with pawns and cubes • equations involving subtraction • equations involving parentheses • confidence that lasts long after the lessons are completed ________________________________________ 4. Proven Success More than one million students have experienced success with the Hands-On Equations Learning System. Originally developed using physical game pieces and classroom instruction, this proven educational approach is now available in an app that makes learning algebra both intuitive and enjoyable. ________________________________________ 5. Who Should Use It? • Gifted children age 6+ • Elementary students ages 8 and above • Middle school students • Struggling high school students • Adults who never really understood algebra ________________________________________ 6. Give Your Child the Confidence to Succeed Whether your child is discovering algebra for the first time or you are finally returning to a subject that once seemed impossible, Hands-On Equations will give your child a memorable, enjoyable, and confidence-building experience with algebra. ________________________________________ 7. Questions or Support? Email: info@borenson.com Visit: www.borenson.com

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!