Synopsis
After an introduction to intersecting lines, this book guides students through various methods for solving a system of equations. Students learn how to use equations to find the intersection point of two lines and then they learn about the Substitution and Elimination Methods. Students then apply the skills they have learned to work through a variety of scenarios that involve setting up and solving a system of equations. Near the end of this book, students learn how to solve systems of linear inequalities. In the Summit Math books, math problems are called scenarios. This wording is used because in this curriculum, students do more than solve math problems. They learn by completing a series of tasks, designed to guide their mind toward specific ideas in mathematics. The scenarios in each Summit Math book are arranged to show students that new math concepts are related to previous concepts they have already learned. As students complete each scenario, the ordering encourages them to arrive at their own understanding first and to then reinforce what they have learned as they progress farther along in that book. When these books are used in a classroom setting, the teacher has more time to engage with students who need their guidance, while students who are ready to progress can continue to move forward. Students naturally learn at different paces and these books allow a teacher to facilitate those paces. The Answer Key is provided for each scenario to give students immediate feedback. After checking the Answer Key, the student can then decide what to do with that feedback: move ahead, ask another student for help, or ask the teacher for more guidance. Some scenarios are marked with a star symbol. These scenarios are there to provide additional challenges for students who are working at faster paces. If students skip scenarios marked with a star, they will still learn the core concepts of that book. These books allow students to work through different numbers of scenarios, while ensuring that each student is able to reach the ultimate goal of learning the topics in a given book.
About the Author
Alex Joujan is a faculty member at The Pingry School in Basking Ridge, NJ where he has been teaching since 2011. During this time he has been the recipient of two awards for his teaching. Alex started writing his own resources in 2013 to improve the learning experience in his classroom. This project developed into the Summit Math series of books, so named to reflect that his curriculum is like hiking; although hiking requires effort and persistence, people can hike at different paces and still arrive at the satisfaction that comes with reaching the summit of the hike. Similarly, Summit Math books are designed to guide students toward a mastery of each topic, while allowing students to learn at their own pace. Alex Joujan was born in Mukinge, Zambia and moved to Chattanooga, TN when he was 5. His family moved to TN after his father died in a car accident, and he is grateful to the many people who guided him through his childhood. His decision to pursue a career in teaching was partially motivated by his appreciation for the impact that his teachers had in his life. In 2005, he graduated Magna Cum Laude with a Bachelors degree in Mathematics from Muhlenberg College. In 2006, he earned his M.S. Ed. from the University of Pennsylvania. In 2006, he was also awarded a 5-year teaching fellowship from the Knowles Teacher Initiative, formerly the Knowles Science Teaching Foundation.
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