Nancy Wilson Chang changn@edmonds.wednet.edu 425.431.4616 Visual Pre-Algebra Approximate Grade Level: 6th - 8th M/W 10:00 AM – 10:55 AM Course Description: Visual Pre-Algebra is an introduction to Algebra concepts using Algebra Lab Gear (blocks), providing meaning to otherwise abstract algebra concepts & procedures. Students will not only be able to "do" algebra, but will see, touch, and manipulate algebraic terms, expressions, and equations. Topics include perimeter & area, variables & constants, like terms, writing & solving equations, multiplying & factoring polynomials, graphing ordered pairs and equations on a coordinate grid, and preparation & practice for state assessment. This is a lab course with minimal assigned homework. Prerequisite: Understanding of basic arithmetic concepts. Progress/Evaluation Methods: Students will build a Math Portfolio of components demonstrating their learning, including class work, quizzes, sketches, notes, worksheets, and progress reports. Students, parents and instructor will use the Math Portfolio of student work to assess student learning and progress. Students will participate in class work discussions and review, with the opportunity to make adjustments to their own work. Credits: This course satisfies essential components of a middle school math or prealgebra course of study and is not eligible for high school credit. Resources: Textbook provided: Algebra, by Anita Wah and Henri Picciotto, published by Creative Publications Classroom supplies: manipulatives such as Algebra Lab Gear and centimeter cubes, special paper such as graph paper, dot paper, and origami paper, worksheets, mathematical games and puzzles, and classroom computers. Students supply a notebook, basic calculator, pencils, erasure, paper, and ruler. Course Goal: Students will understand and apply the concepts and procedures of PreAlgebra, through the study and practice of the following objectives, derived from the Washington State K-12 Mathematics Grade Level Standards: http://standards.ospi.k12.wa.us/Default.aspx?subject=7,GLE and the Common Core Mathematics Standards: http://www.corestandards.org/Math/ Objectives: 1. Students will compare and order rational numbers; represent addition, subtraction, multiplication, and division of positive and negative integers visually and numerically; solve two-step linear equations; write an equation corresponding to a given situation; solve single- and multi- step word problems involving linear relationships. Nancy Wilson Chang Mathematics Edmonds Heights K-12 2015-16 2. Students will determine the surface area and volume of two- and three-dimensional figures; determine and describe attributes such as side or edge lengths, perimeter, area, surface area, and volume of geometric figures; solve single- and multi- step word problems involving surface area and volume, and verify the solutions. 3. Students will evaluate algebraic expressions; interpret and use exponents, square and cube roots; use algebraic properties to factor and combine like terms in polynomials; and add, subtract, multiply, and divide polynomials. 4. Students will represent quadratic functions with symbolic expressions, sketches, and 2D and 3-D models; solve quadratic equations that can be factored as (ax+b)(cx+d) where a, b, c, and d are integers. 5. Students will analyze problem situations and represent them mathematically; select and apply strategies to solve problems; evaluate solutions for reasonableness; verify accuracy; interpret solutions in context; generalize solution strategies; read and interpret diagrams, graphs, and text containing symbols, language, and conventions of mathematics; synthesize information to draw conclusions; evaluate the arguments and conclusions of others; use inductive and deductive reasoning. Activities: Lesson overviews, Logic applications, Art applications, Cryptology applications, Problem solving, Projects, Games and puzzles, Cooperative learning, Experiential learning, Mathematical modeling, Computers, Discussion, Textbook and worksheet assignments Instructor - Class Website: Visit Nancy Chang’s site: themathvortex.com for News, Instructional Videos, Lessons, Classwork Assignments, Course Descriptions, Class Schedule, and Instructor bio and contact information. Nancy Wilson Chang Mathematics Edmonds Heights K-12 2015-16