Pre-Service Mathematics Teacher
algebra
Books
Book: Cryptology (3rd Edition)
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ISBN: 1-878015-16-8
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Summary:
This book is a book about cryptology, which is the enciphering and deciphering of messages that stops a third party from intercepting them. The math behind cryptology is modular arithmetic. That is taking the remainders as an answer, instead of making a fraction. For example, 8 mod 6 = 2. That is because 6 goes into 8 one time, with a remainder of 2. This books explains to students how to do modular arithmetic, or clock arithmetic, and provides real life examples as to why learning them is important.
Book: Algebra 1
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ISBN: 978-1608408382
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Summary:
Algebra 1: A Common Core Curriculum" is a textbook that is aligned with the Common Core curriculum and standards. This book details algebraic concepts such as solving one step equations, solving systems of linear equations through various methods, and much more! The teacher edition even gives ways to differentiate instruction based on the needs to learners. The teacher editions of this textbook also suggests how to have students critically think about these concepts and relate them to the real world.
Book: The Journey of Al & Gebra to the Land of Algebra
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ISBN: 978-1929229437
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Summary:
"A number of algebraic concepts are illuminated in this masterfully told medieval tale featuring Al and Gebra, teenage superheroes who make algebra understandable and fun for secondary students. As the king in this story indicates, each of 14 kingdoms provides a unique problem for the superheroes to solve. Al and Gebra, in their adventures, develop strategies to solve the problems and in the process, discover algebraic concepts. Skills and concepts include: addition, subtraction, multiplication, and division of positive and negative numbers, properties, exponents, grouping symbols and the order of operations, and linear equations."
Websites & Apps
Using Algebra Touch on their own, students should learn the basic steps of algebraic equations. But the app can also reinforce skills such as following visual directions, applying information students have learned in class, and identifying strengths and weaknesses in their understanding of algebra subtopics.
Algebra Touch
eMathInstruction
"eMathInstruction is a collection of courses mostly focusing on geometry and algebra, with some newer content aimed at students in grades 6-8 building fundamental math skills. The lessons (some including videos) allow teachers to supplement their classroom lessons and, in some cases, even flip the classroom [...] All the materials are linked to Common Core State Standards (CCSS), and teachers can easily see how to incorporate the materials into their math lessons."
Lesson Plans & Assessments
Solving Systems of Linear Equations by Substitution Lesson Plan
Adding and Subtracting Polynomials Lesson Plan
Manipulatives
Cuisenaire (Algebra) Tiles
Cuisenaire tiles allow students to use tiles to represent variables and constants, learn how to represent and solve algebra problem. Solve equations, substitute in variable expressions, and expand and factor. Flip tiles, remove zero pairs, copy and arrange, and make your way toward a better understanding of algebra.
Dominos
Dominos can be used to help students learn algebraic concepts such as fractions. They can randomly pick at least two dominos and add, subtract, multiply, or divide them. Students can also strengthen their knowledge by mastering simplifying fractions using dominos.
Clocks
Clocks can be used in a variety of ways. They can help students visualize fractions. They can also help students learn about modular arithmetic. Modular arithmetic is also known as clock arithmetic. Students can first begin by doing modular 12 problems. They can move the clock hands around to see how many times the minute hand passes around 12, then move the remaining amount. For example 25 mod 12. They can start at 12:00. Then will then make two revolutions, then move to 1:00. 1:00, or 1, would be the answer to 25 mod 12.