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Scholastic Assessment Test (SAT)

Overview of SAT Math and English Standards

The Scholastic Assessment Test (SAT) is a widely used college admissions test that measures a student’s readiness for academic success through two main sections: Mathematics and Evidence-Based Reading and Writing.

The Math section assesses problem-solving abilities, algebraic thinking, data analysis, and some geometry and trigonometry, divided into calculator and no-calculator portions.

The English section evaluates reading comprehension and language skills through two components: Reading, which tests understanding of passages from various subjects, and Writing and Language, which focuses on grammar, punctuation, and sentence clarity.

Mastering these areas is crucial for achieving a strong SAT score and expanding college and scholarship opportunities.

SAT Math - Concept Overview

1. Heart of Algebra

Focuses on linear equations, systems of equations, and their applications.

  • Solving linear equations and inequalities in one variable

  • Solving systems of linear equations (substitution, elimination, graphing)

  • Interpreting linear equations in context

  • Linear functions: slope, intercepts, graphing

  • Analyzing and solving word problems involving linear equations or systems

  • Representing equations and inequalities graphically

2. Problem Solving and Data Analysis

Covers quantitative reasoning, data interpretation, and proportional reasoning.

  • Ratios, rates, and proportions

  • Units and unit conversions

  • Percentages (including percent increase/decrease)

  • Mean, median, mode, and range

  • Interpreting data from tables, graphs, and charts

  • Probability and relative frequency

  • Scatterplots and linear trends

  • Analyzing and using two-way tables

3. Passport to Advanced Math

Focuses on higher-order algebra and complex equations.

  • Solving quadratic equations (factoring, completing the square, quadratic formula)

  • Interpreting and graphing quadratic functions

  • Exponents and exponential functions

  • Polynomials: operations, factoring, and structure

  • Radicals and rational exponents

  • Solving equations with radicals

  • Rational expressions and equations

  • Systems of equations involving quadratics

  • Interpreting nonlinear expressions and their components

4. Additional Topics in Math

Covers geometry, trigonometry, and other advanced topics.

  • Geometry:

    • Properties of triangles, circles, and other polygons

    • Pythagorean theorem and its applications

    • Volume and surface area of 3D shapes

    • Coordinate geometry (distance, midpoint, slope)

    • Transformations (rotations, reflections, translations, dilations)

    • Congruence and similarity

  • Trigonometry:

    • Sine, cosine, tangent (basic definitions and applications)

    • Right triangle properties

    • Trigonometric ratios in word problems

  • Complex numbers: addition, subtraction, multiplication, and division

  • Arithmetic and geometric sequences

5. General Skills

  • Working with multiple-choice and grid-in answers

  • Strategic calculator use for certain sections

  • Applying math concepts to real-world scenarios

  • Time management and pacing for test sections

SAT English - Concept Overview

1. Reading Comprehension

  • Understanding main ideas, themes, and supporting details in passages

  • Analyzing the author’s tone, purpose, and point of view

  • Drawing inferences and conclusions from texts

  • Analyzing text structure and organization

  • Understanding word meanings in context (vocabulary)

  • Evaluating arguments and reasoning in texts

2. Writing and Language

  • Sentence structure and grammar (subject-verb agreement, punctuation, parallel structure, etc.)

  • Improving clarity and style (word choice, tone, conciseness)

  • Correcting sentence fragments, run-ons, and comma splices

  • Understanding the structure of essays (introduction, body, conclusion)

  • Analyzing and improving coherence and logic within passages

  • Improving the overall organization of a passage (transitions, logical flow)

3. Passport to Advanced Math

  • Analyzing how an author builds an argument

  • Evaluating the effectiveness of evidence and reasoning in the passage

  • Analyzing the author’s use of rhetoric (appeals to logic, emotion, and ethics)

  • Organizing and writing a coherent analysis with appropriate evidence

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