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Summit Math Series

Learn at your own pace. Student-centered. Teacher-guided.
 

Author: Alex Joujan

Paperback

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Overview of the Series

 

summit math series book set

 
 
 
 

Summit Math Series – Algebra 1 Books

Book 1:  Averages, Percentages, and Rates
Book 2:  Linear Relationships
Book 3:  Properties of Exponents
Book 4:  Operations with Polynomials
Book 5:  Factoring Polynomials
Book 6:  Systems of Equations
Book 7:  Radical Expressions and Equations

 

summit math series book set

 
 
 
 

Summit Math Series – Algebra 2 Books

Book 1:  Introduction to Functions
Book 2:  Linear Functions
Book 3:  Quadratic Functions
Book 4:  Rational Expressions and Equations
Book 5:  Rates: Work, Motion, Interest
Book 6:  Linear and Nonlinear Systems
Book 7:  Exponential Functions
Book 8:  Pythagorean Theorem

 

About the Series

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 Bachelor’s 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).

Alex lives in Easton, PA with his wife and their 3 kids.

 

Detailed Table of Contents

Summit Math Series – Algebra 1

 

Summit Math Series (Algebra 1)  Book 1 – Averages, Percentages, and Rates

Paperback: 90 pages
ISBN: 978-1-97502-989-0
Price: $15.04 suggested retail
This book will also soon be available on Amazon

This book is split into 3 topics. The first topic reviews solving equations and then it focuses on writing equations to model simple mathematical scenarios. There is a brief detour through simple geometry topics that have relationships that can be modeled with equations. This book also shows students how to set up an equation to find the average of a set of numbers. The second topic is scenarios that involve percentages. After an introduction to percentages, this book guides students through percentage increases and decreases, as well as writing equations to calculate percentages. The final topic in this book is rates. These rates scenarios are designed to prepare students for learning about linear relationships in the next book.

 

Summit Math Series (Algebra 1)  Book 2 – Linear Relationships

Paperback: 88 pages
ISBN: 978-1-97502-901-2
Price: $17.31 suggested retail
This book will soon be available on Amazon

This book begins with plotting points and the origin of the Cartesian Plane. Students then graph linear equations by using a T-chart to help them find several points. Later, they learn how to find the x- and y-intercepts of a line. In the next sections, they learn about constant rates and how to describe and analyze a line’s slope. Finally, they closely examine how to express linear relationships using the Slope-Intercept Form.

 

Summit Math Series (Algebra 1)  Book 3 – Properties of Exponents

Paperback: 56 pages
ISBN: 978-1-97502-903-6
Price: $14.68 suggested retail
This book will soon be available on Amazon

This book guides students through the properties of exponents. The first ones explored are multiplying and dividing expressions with exponents, known as the Product and Quotient rules, respectively. The Power rule is explored next, which involves raising an exponent to an exponent. Students also learn about negative exponents. Finally, students increase their familiarity with evaluating expressions, both with and without a calculator.

 

Summit Math Series (Algebra 1)  Book 4 – Polynomials

Paperback: 52 pages
ISBN: 978-1-97502-904-3
Price: $14.35 suggested retail
This book will soon be available on Amazon

This book guides students through polynomials and how to apply rules of arithmetic to polynomial expressions. After an introduction to polynomials, students learn about monomials, binomials, and trinomials. They then learn how to add, subtract, and multiply polynomials. This book then focuses on multiplying binomials to prepare students to learn about factoring polynomials in the next book.

 

Summit Math Series (Algebra 1)  Book 5 – Factoring Polynomials

Paperback: 86 pages
ISBN: 978-1-97502-905-0
Price: $16.32 suggested retail
This book will soon be available on Amazon

Students review what they have learned about multiplying polynomials as well as factoring out the greatest common factor of a polynomial. Subsequent scenarios guide them through factoring trinomials, with a section on factoring a difference of two squares, followed by a section on factoring perfect square trinomials. Students learn how to use factoring to solve quadratic equations and then they use that skill to complete scenarios that are modeled by quadratic equations. Near the end of this book, there is a section that introduces students to the process of using factoring to simplify fractions. This book concludes with an introduction to graphing parabolas.

 

Summit Math Series (Algebra 1)  Book 6 – Systems of Equations

Paperback: 88 pages
ISBN: 978-1-97502-907-4
Price: $16.97 suggested retail
This book will soon be available on Amazon

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.

 

Summit Math Series (Algebra 1)  Book 7 – Radical Expressions and Equations

Paperback: 82 pages
ISBN: 978-1-97502-908-1
Price: $16.65 suggested retail
This book is also available on Amazon

After reviewing what they have learned about exponents and square roots, students learn about rational and irrational numbers. Students then learn how to simplify, add, subtract, multiply, and divide radical expressions. They learn how to solve radical equations and they learn about using a disguised form of 1 to rationalize a denominator. At the end of this book, students strengthen their familiarity with radical expressions as they learn about the Pythagorean Theorem.

 
 

Summit Math Series – Algebra 2

 

Summit Math Series (Algebra 2)  Book 1 – Introduction to Functions

Paperback: 58 pages
ISBN: 978-1-97502-920-3
Price: $13.21 suggested retail
This book will soon be available on Amazon

In this book, students are introduced to the concept of a function and independent and dependent variables. They learn that function notation, such as f(x), can be a more concise way to refer to quantities that have a mathematical relationship. They see functions represented in equations, graphs, and tables. This book then focuses on analyzing graphs of functions and identifying regions when a function is increasing, decreasing, or constant. Domain and range are also defined in this book, with an introduction to the concept of piecewise functions.

 

Summit Math Series (Algebra 2)  Book 2 – Linear Functions

Paperback: 84 pages
ISBN: 978-1-97502-922-7
Price: $15.83 suggested retail
This book will soon be available on Amazon

Students initially review what they have previously learned about equations in Slope-Intercept Form and Standard Form. This book then guides them through a thorough investigation into the usefulness of the Point-Slope Form for the equation of a line. Students apply what they have learned so far to make trend lines through scatter plot data and then find and analyze the equation of their trend line. After investigating horizontal and vertical lines, this book concludes with a section on linear inequalities.

 

Summit Math Series (Algebra 2)  Book 3 – Quadratic Functions

Paperback: 86 pages
ISBN: 978-1-97502-923-4
Price: $16.17 suggested retail
This book will soon be available on Amazon

After a brief review of factoring and simplifying radical expressions, this book introduces the concept of the imaginary number, i. Students then learn how to solve equations using the method of Completing the Square and then they use this method to derive and use the Quadratic Formula. Students learn how to graph parabolas by first locating the vertex and then locating other significant points before drawing the curve of the parabola through those points. These algebraic skills allow the student to apply what they have learned in scenarios that involve quadratic relationships. This book concludes with a section on graphing quadratic inequalities, which builds on what students have already learned about graphing linear inequalities in a previous book.

 

Summit Math Series (Algebra 2)  Book 4 – Rational Expressions and Equations

Paperback: 64 pages
ISBN: 978-1-97502-924-1
Price: $14.20 suggested retail
This book will soon be available on Amazon

This book uses what students have already learned about arithmetic with fractions to show them how to manipulate fractions that contain polynomials in the numerator and/or the denominator. This book emphasizes the importance of identifying and using disguised forms of 1 to change the appearance of rational expressions. Scenarios that follow show students how to use this idea to simplify, multiply, divide, add, and subtract rational expressions. The final section in this book focuses on solving rational equations by eliminating the fractions in those equations.

 

Summit Math Series (Algebra 2)  Book 5 – Rates: Work, Motion, Interest

Paperback: 50 pages
ISBN: 978-1-97502-947-0
Price: $12.89 suggested retail
This book will soon be available on Amazon

This book begins with an introduction to scenarios that involve rates, while also helping students understand the units and the usefulness of a rate’s reciprocal. This book then guides students through three types of scenarios that involve rates. The first section focuses on scenarios involving work rates and combined work. The second section analyzes motion scenarios, or the relationship between rate, time and distance. This part of the book also contains a section on average speed. The third and final section of this book focuses on scenarios that involve interest rates.

 

Summit Math Series (Algebra 2)  Book 6 – Linear and Nonlinear Systems

Paperback: 80 pages
ISBN: 978-1-97502-952-4
Price: $15.18 suggested retail
This book will soon be available on Amazon

This book starts by reviewing what students have learned about linear systems in a previous book. These scenarios review graphing systems and the substitution and elimination methods for solving systems of equations. The next section guides students through scenarios that apply the skills they have learned, first involving linear systems and then shifting to focus on systems of linear inequalities. Students then learn how to solve nonlinear systems, following by 3-variable systems. In the final section of this book, students learn how to write the equation of a parabola when given 3 of its points.

 

Summit Math Series (Algebra 2)  Book 7 – Exponential Functions

Paperback: 82 pages
ISBN: 978-1-97502-981-4
Price: $15.51 suggested retail
This book will soon be available on Amazon

This book focuses on exponential functions of the form y = A(B)x. Starting with simple exponential patterns, the scenarios emphasize that exponential changes arise from repeated multiplication. Later scenarios show that exponential growth or decay are the result of repeated percentage increases or decreases, respectively. Students learn how to use two points to identify an exponential function. They also analyze exponential growth and decay graphs. In the last section of this book, students use what they have learned to analyze a variety of scenarios that involve exponential relationships.

 

Summit Math Series (Algebra 2)  Book 8 – Pythagorean Theorem

Paperback: 82 pages
ISBN: 978-1-97502-983-8
Price: $15.51 suggested retail
This book will soon be available on Amazon

This book builds on a student’s prior familiarity with the Pythagorean Theorem to introduce them to the distance formula. It also shows how equilateral triangles can be used to form 30-60-90 triangles, while squares can be used to form 45-45-90 triangles. It then guides students through a wide variety of right triangle scenarios to help them improve their familiarity with the topics in this book.-

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