Math 3 Intensive Course Syllabus
Indian Trails Middle School
This course is in alignment with the Florida Sunshine State Standards and follows the Flagler County pacing guide. This class is designed as an interactive approach that incorporates number sense with algebraic interpretation. Students are encouraged to be the instructor as well as the learner. This course has beendesigned to teach the mathematical concepts and methods your student will need to know in order to meet high curriculum standards and succeed on high-stakes tests. The math will be presented in a way that students can understand and that will motivate them to learn.
August 2008 to March 2009
SSS Level: 8th grade Sunshine State Standards, http://www.fldoe.org/BII/Curriculum/SSS/
Textbook: McDougal Littell Middle School Math – Course 3, http://www.classzone.com/cz/books/msmath_3_na/book_home.htm?state=FL
Chapter 1: Variables and Equations
Interpreting Graphs, Order of Operations, Variables and Expressions, Powers and Exponents, Equations and Solutions, Variables in Familiar Formulas, Problem Solving
Chapter 2: Integer Operations
Integers and Absolute Value, Adding/Subtracting Integers, Multiplying/Dividing Integers, Number Properties, Distributive Property, Coordinate Plane
Chapter 3: Solving Equations and Inequalitie
sSolving One-Step Equations, Solving Two-Step Equations, Writing Two-Step Equations, Applying Geometry Formulas, Solving One-Step Inequalities
Chapter 4: Factors, Fractions, and Exponents
Factors, and Prime Factorization, Greatest Common Factor, Simplifying Fractions, Least Common Multiple, Comparing Fractions and Mixed Numbers, Rules of Exponents, Negative and Zero Exponents, Scientific Notation
Chapter 5: Rational Number Operations
Fractions with Common/Different Denominators, Multiplying/Dividing Fractions, Fractions and Decimals, Adding/Subtracting Decimals, Multiplying/Dividing Decimals, Mean/Median/Mode
Chapter 6: Multi-Step Equations and Inequalities
Solving Multi-Step Equations, Equations with Variables on Both Sides, Equations Involving Fractions and Decimals, Equations Involving Circumference, Multi-Step Inequalities, Problem Solving and Inequalities
Chapter 7: Ratio, Proportion, and Percent
Ratios with Rates, Writing and Solving Proportions, Solving Percent Problems, Fractions/Decimals & Percents, Percent of Change, Percent Applications, Using the Percent Equation, Simple Probability
Chapter 8: Polygons and Transformations
Angle Pairs, Angles and Triangles, Quadrilaterals, Polygons and Angles, Congruent Polygons, Reflections and Symmetry, Translations and Rotations, Similarity and Dilations
Chapter 9: Real Numbers and Right Triangles
Square Roots, Rational and Irrational Numbers, Using Pythagorean’s Theorem, Special Right Triangles, Using Trigonometric Ratios
Chapter 10: Measurement, Area, and Volume
Area of Parallelograms and Trapezoids, Area of Circles, Three Dimensional Figures, Surface Areas of Prisms and Cylinders/Prisms and Cones, Volume of Prisms and Cylinders/Prisms and Cones
March 2009 to June 2009
Textbook: McDougal Littell Algebra 1
CHAPTER 1: CONNECTIONS TO ALGEBRA
Variables in algebra, exponents and powers, order of operations, finding patterns, equations and inequalities, exploring problem solving, tables and graphs, an introduction to functions.
CHAPTER 2: PROPERTIES OF REAL NUMBERS
The real number line, addition of real numbers, subtraction of real numbers, adding and subtracting matrices, multiplication of real numbers, the distributive property, division of real numbers, probability and odds.
CHAPTER 3: SOLVING LINEAR EQUATIONS
Solving equations using addition and subtraction, solving equations using multiplication and division, solving mult-step equations, solving equations with variables on both sides of equation, linear equations and problem solving, solving decimal equations, formulas and functions; rates, ratios, percents; inductive and deductive reasoning.
Florida Department of Education
COURSE DESCRIPTION - GRADES 6-8
Subject Area: Mathematics
Course Number: 1204000
Course Title: M/J Intensive Mathematics
Course Length: 1 year
Basic Assumptions for Mathematics Education:
- All students have access to calculators and computers.
- Classroom activities are student-centered, emphasizing concrete experiences and active/experiential learning.
- All courses have increased emphasis on problem solving, estimation, and real-world applications.
- Evaluation includes alternative methods of assessment.
- All strands addressed in the Sunshine State Standards are developed across the PreK-12 curriculum.
- Major Concepts/Content. The purpose of this course is to enable students to develop mathematics skills and concepts through remedial instruction and practice.
The content should include, but not be limited to, the following:
-mathematics content that has been identified by screening and individual diagnosis of each student's need for remedial instruction and specified in his/her Academic Improvement Plan (AIP)
- critical thinking, problem solving, and test-taking skills and strategies
This course shall integrate the Goal 3 Student Performance Standards of the Florida System of School Improvement and Accountability as appropriate to the content and processes of the subject matter.
Course student performance standards must be adopted by the district, and they must reflect appropriate Sunshine State Standards benchmarks.
B. Special Note. This course may be repeated by a student as needed; if repeated, the required level of student proficiency should increase.
The instructional approaches used in this course should be designed to provide effective remedial strategies to meet the needs of each student. Teachers should use results of individual diagnostic assessments to determine appropriate Sunshine State Standards benchmarks for use with each student. State-recommended or district Grade Level Expectations (GLEs) may also be used in this process. It is the responsibility of the district to ensure that identified benchmarks are consistent with the needs of individual students.
Students should be given opportunities to develop and apply skills through guided, shared, and independent practice in both mathematics and test-taking.
C. Course Requirements. The course requirements must be aligned with benchmarks for grades PreK-2, 3-5, or 6-8, or a mixture of the three, as appropriate to the needs of individual students. The Sunshine State Standards benchmarks and state-recommended Grade Level Expectations (GLEs) may be downloaded from the Florida Department of Education website at the following address: http://www.firn.edu/doe/
After successfully completing this course, the student will:
- Demonstrate competency in the Sunshine State Standards benchmarks for mathematics that have been identified through screening and individual diagnosis of each student's need for remedial instruction and specified in his/her Academic Improvement Plan (AIP).
- Apply critical thinking, problem solving, and test-taking skills and strategies for assessments in mathematics in varied contexts.