• Math SAT Preparation, Level 2 Course of Study 

    Revised Spring 2004
    Revised October 2011 
    Table of Contents

    Members of Revision Committee

    Statement of Purpose

    Program of Studies Description

    Core Content Standards

    Textbook and Resource Materials

    Course Objectives/Activities

    Content Outline/Timeline


    Members of Revision Committee:

    M. Malcolm - Cherokee

    K. Korkuch - Shawnee

    P. Marques - Seneca

    S. Giberson - Lenape


    Statement of Purpose:

    The purpose of all curriculum guides is to provide direction for instruction. They identify the written outcomes in a subject and /or grade as the basis for classroom activities and student assessment. In order to achieve maximum understanding, the objectives identified as learning outcomes must be written clearly and reflect the specific learning and behavior which are expected.

    Objectives are written as major outcomes and stated to require critical thinking. Teachers should understand that they must make careful decisions about the specific sub skills and prior learning needed to reach these objectives. These professionals are encouraged to reflect with others teaching the same curriculum for this purpose and also to identify the most appropriate resources and methods of assessment. The assessments are directly aligned with the objectives. Therefore, the objectives in this guide are designed to provide direction to the teacher in order to facilitate instructional planning.

    All teachers, parents and students should be informed of the expected outcomes (i.e. objectives) for the subject and/or grade level.


    Program of Studies Description:

    The SAT Preparation Course is a one-semester elective which prepares students for the verbal and math sections of the SAT. Nine weeks will be spent on verbal and nine weeks on math. Critical reading, writing vocabulary and logical reasoning skills needed on the SAT will be addressed. Specific test-taking strategies for the SAT will also be presented. Completing this course is in no way a guarantee of desired results on the SAT. Successful completion of Geometry is required. This class is open to second semester sophomores, all juniors, and first semester seniors. Credits for this course do not satisfy Math or English graduation requirements.


    Common Core State Standards for Math (http://www.corestandards.org/)
    Textbook and Resource Materials


    Everything You Need to Score High on the SAT and PSAT, Edward J. Deptula

    Baron's SAT 1 18th Edition, Samuel Brownstein

    Preparing for the SAT*1 Mathematics, Richard J. Anderson AMSCO Publications

    10 Real SAT's, Second Edition, College Entrance Examination Board



    Scientific or Graphing Calculator

    Course Objectives/Activities: Objective 1: Students will differentiate and scrutinize the solving of linear and quadratic equations and inequalities. (Standards: A-REI: 3, A-REI: 4a, A-REI: 4b, N-CN: 7) Activities to meet objective:

    · Manipulative activity using various unknowns to represent values in solving equations.


    1. Activity is self-diagnostic

    2. Warm-ups


    Objective 2: Students will examine, simplify, and evaluate algebraic expressions. (Standards: A-SSE: 1a, A-SSE: 1b, A-SSE: 2, A-APR: 1) Activities to meet objective:

    · Given a set of problems, students will work in pairs to solve the problems, and strategies.


    1. Tests/quizzes

    Objective 3: Students will manipulate, modify and solve radical equations, perform operations with radicals, and simplify the results.

    (Standards: A-REI: 2, N-RN: 2)

    Activities to meet objective:

    · In cooperative learning groups, students will explain and discuss common mistakes in solving and simplifying rational equations and expressions.


    1. Check student's results visually

    Objective 4: Students will translate work expression and apply the principles of algebra to problem-solving. (Standards: F-BF: 1a, Modeling) Activities to meet objective:

    · Cooperative groups will plan for representing work expressions algebraically. They will also construct diagrams representing expressions and equations.


    1. The teacher will assess the problems and presentation through oral and written means.

    Objective 5: Students will apply the laws of exponents. (Standards: N-RN: 1, N-RN: 2, A-SSE: 2) Activities to meet objective:

    · Students will work in cooperative learning groups on activity in which they will develop the rules of exponents.


    1. Groups will present findings to class.

    Objective 6: Students will reorganize and simplify algebraic expressions using operational and factoring rules. (Standards: A-SSE: 2) Activities to meet objective:

    · Use cooperative learning techniques to explore common mistakes in simplifying rational expressions.


    1. Students will report findings to the class.

    Objective 7: Students will solve and simplify rational equations and expressions by performing addition, subtraction, multiplication, and division. (Standards: N-RN: 1, N-RN: 2, N-RN: 3, A-APR: 6) Activities to meet objective:

    · In cooperative groups, students will explain and discuss common mistakes in solving a simplifying rational equations and expressions.


    1. Tests /quizzes

    2. Students will present to the class their findings.

    Objective 8: Students will translate and apply problem-solving skills using percents. (Standards: Modeling) Activities to meet objective:

    · Given a set of problems, students will work in pairs to solve the problems, and then explain their strategies.


    1. Tests /quizzes

    2. Teacher will assess the selected assignments.


    Objective 9: Students will analyze, interpret, and apply projections to number pattern. (Standards: F-IF: 3, F-BF: 2, Modeling) Activities to meet objective:

    · In cooperative learning groups, students will examine number patterns such as sunrise/sunset tables, look for a pattern, and formulate an expression that they can apply to predict the sunrise/sunset times for future data.


    1. Tests /quizzes

    2. Graded group activity


    Objective 10: Students will differentiate among the set notation terms including union, intersection and elements utilizing various sets of numbers and Venn Diagrams. (Standards: Modeling) Activities to meet objective:

    · Working in groups, students will create a list of elements of integers, whole numbers, odd and even number, and prime and composite numbers using set notation. Then, they will analyze and discuss where the sets' intersections and unions exist and illustrate results using Venn Diagrams.


    1. Tests /quizzes

    2. Student presentation evaluated using a rubric.

    Objective 11: Students will calculate the measures of central tendency – mean, mode, and median- and determine the range of a set of data. (Standards: S-ID: 2) Activities to meet objective:

    · Students will provide their heights, n inches, and a set of data will be formed. Students will then calculate the mean, median, mode, and range for the heights.


    1. Tests/quizzes

    2. Grade this activity.

    Objective 12: Students will interpret tables, bar graphs, pie charts, and scatter plots in order to analyze data presented. (Standards: S-ID: 1, S-ID: 6a, S-ID: 6c, S-ID: 7, S-ID: 8) Activities to meet objective:

    · Students will bring in a chart/table/graph from a newspaper or magazine. In groups, the students will identify characteristics such as mean, median and mode and write an analysis of the data.


    1. Students will provide an oral presentation of their findings.

    2. Tests/quizzes

    Objective 13: Students will use counting techniques such as tree diagrams, the counting principle, and permutations and combinations. (Standards: S-CP: 9) Activities to meet objective:

    • Using a menu from a fast-food restaurant, students will discover the number of possible different meals that can be bought if one item is selected from each main category.


    1. Quiz on the required formulas for finding permutations or combinations and their applications.

    Objective 14: Students will demonstrate the use of basic probability formulas, including the addition formula, and the multiplication rule, and odd. (Standards: S-CP: 7, S-CP: 8) Activities to meet objective:

    • Using items such as coins, dice, and a deck of cards to explore the various probabilities and odds.

    Assessment: 1. Quiz 2. Graded homework assignment. Objective 15: Students will demonstrate the knowledge of the various strategies for taking the SAT I. Activities to meet objective:

    · Students will take sample SAT tests throughout the course to reinforce strategies.


    1. Sample SAT tests will be graded as quiz grades.

    Objective 16: Students will understand and apply usage with properties of angles (obtuse, right, acute, straight, vertical, same-side interior, alternate interior, etc) and lines (parallel, perpendicular, skew, etc.) (Standards: G-CO: 9) Activities to meet objective:

    · Students will work in cooperative groups to illustrate the various types of angles and lines.


    1. Teacher will analyze projects that the students present.

    Objective 17: Students will understand and know how to find the perimeter, area, and volume, of circles, triangles, and quadrilaterals, and other polygons. (Standards: G-GPE: 7, G-GMD: 3) Activities to meet objective:

    · Students will derive, illustrate, and come up with a rhyme, rag, or song for one of the formulas.



    1. Teacher will quiz and check for understanding of the formula and proper procedure for finding each.

    Objective 18: Students will understand how to graph various functions of f(x) using both the graphing calculator and graph paper. (Standards: F-IF: 7a, F-IF: 7b, F-IF: 7c, F-IF: 7d) Activities to meet objective:

    · Students will create a picture on graph paper and have graphed points, lines, etc….


    1. Teacher will assess students' picture.

    2. Quiz/Test

    Objective 19: Students will understand how to use and apply translations and transformations including:

    Reflections, rotations, dilations, and glide reflections. Students will also become familiar with these applications on their graphing calculator. (Standards: G-CO: 3, G-CO: 4)

    Activities to meet objective:

    · Students will work in cooperative groups and copy a multisided polygon and apply the many translations and transformations we learned.


    1. Teacher will assess selected assignments.


    Content Outline/Timeline

    **Order of Topics may vary by school


    Arithmetic (approximately 5 days)



    Number Theory

    Fractions, Decimals, Percents

    Ratio and Proportions

    Sets (union, intersection, elements)



    Algebra (approximately 10 days)


    Algebraic Expressions

    Solving equations in one or two variables

    Word Problems


    Functions and Graphs

    Integer and Rational Exponents




    Geometry (approximately 10 days)

    Angles and Lines




    Perimeter, Area, and Volume

    Coordinate Geometry


    Number Patterns (approximately 5 days)


    Sequences and Series

    Special Symbols



    Probability (approximately 5 days)


    Counting Techniques

    Probability Rules

    Combinations and Permutations



    Data Analysis (approximately 5 days)


    Arithmetic Mean, Median, and Mode

    Tables, Charts, and Graphs