About This Chapter
WEST Math: Logic - Chapter Summary
This chapter takes a closer look at logic in math. Learn about logic propositions, compound statements and more as you get ready for the WEST Math exam. These brief video lessons delve into many other logic-based topics as well, including:
- Conditional statements and how to identify them
- The hypothesis and conclusion in math
- Connectors, conjunctions and disjunctions
- Converse, inverse and contrapositive statements
- Truth tables
Our expert math instructors crafted these lessons using real-world examples and easy-to-follow solutions, making it a cinch to hone your understanding of logic in mathematics. Each lesson concludes with a short quiz, and you're always welcome to ask questions of our instructors whenever you need help.
Objectives of the WEST Math: Logic Chapter
The WEST Math exam is a requirement for all new or current teachers in Washington State who want to qualify for a math endorsement. The exam itself consists of five main sub-areas and a grand total of 150 multiple-choice questions. The mathematical processes and number sense sub-area includes questions that involve logic, and that sub-area contains roughly 19% of all questions on the test.
The WEST Math exam is offered in a computer-based format, and you're allowed four hours and 15 minutes to complete it. You're given an on-screen calculator, so you shouldn't bring your own from home. You're also provided with a sheet of formulas. You'll receive your score report directly after completing the exam, and 220 is the minimum passing score. The WEST Math test is offered throughout the year at many Pearson testing centers. You can check seat availability for different dates and register online.
1. Critical Thinking and Logic in Mathematics
Logic has its own unique language and way of defining what is true and false. Watch this video lesson to learn how you can critically think in the language of logic while working with math.
2. Propositions, Truth Values and Truth Tables
Watch this video lesson and learn what truth values are and what a truth table looks like. Learn how to go from a proposition to its negation and how that affects the truth values and the truth tables.
3. Logical Math Connectors: Conjunctions and Disjunctions
Watch this video lesson to learn how to identify conjunctions and disjunctions. Also learn the connectors that are used with each. Learn how you can use them to make statements.
4. Conditional Statements in Math
Sometimes, what is true in the mathematical world of logic is false in the real world. Check out this lesson to learn how to identify conditional statements and how you can differentiate between what is logically true and what is true in reality.
5. Logic Laws: Converse, Inverse, Contrapositive & Counterexample
Logical statements can be useful, but only if we are able to determine their validity. In this lesson, we'll look at the various forms of a logical statement and see how they relate to each other.
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Other chapters within the NES Mathematics - WEST (304): Practice & Study Guide course
- WEST Math: Properties of Real Numbers
- WEST Math: Fractions
- WEST Math: Decimals & Percents
- WEST Math: Ratios & Proportions
- WEST Math: Units of Measure & Conversions
- WEST Math: Reasoning
- WEST Math: Vector Operations
- WEST Math: Matrix Operations & Determinants
- WEST Math: Exponents & Exponential Expressions
- WEST Math: Algebraic Expressions
- WEST Math: Linear Equations
- WEST Math: Inequalities
- WEST Math: Absolute Value
- WEST Math: Quadratic Equations
- WEST Math: Polynomials
- WEST Math: Rational Expressions
- WEST Math: Radical Expressions
- WEST Math: Systems of Equations
- WEST Math: Complex Numbers
- WEST Math: Functions
- WEST Math: Piecewise Functions
- WEST Math: Exponential & Logarithmic Functions
- WEST Math: Continuity of a Function
- WEST Math: Limits
- WEST Math: Rate of Change
- WEST Math: Derivative Rules
- WEST Math: Graphing Derivatives
- WEST Math: Applications of Derivatives
- WEST Math: Area Under the Curve & Integrals
- WEST Math: Integration Techniques
- WEST Math: Applications of Integration
- WEST Math: Foundations of Geometry
- WEST Math: Geometric Figures
- WEST Math: Properties of Triangles
- WEST Math: Triangle Theorems & Proofs
- WEST Math: Parallel Lines & Polygons
- WEST Math: Quadrilaterals
- WEST Math: Circles & Arc of a Circle
- WEST Math: Conic Sections
- WEST Math: Geometric Solids
- WEST Math: Analytical Geometry
- WEST Math: Trigonometric Functions
- WEST Math: Trigonometric Graphs
- WEST Math: Solving Trigonometric Equations
- WEST Math: Trigonometric Identities
- WEST Math: Sequences & Series
- WEST Math: Set Theory
- WEST Math: Statistics Overview
- WEST Math: Summarizing Data
- WEST Math: Tables, Plots & Graphs
- WEST Math: Probability
- WEST Math: Discrete Probability Distributions
- WEST Math: Continuous Probability Distributions
- WEST Math: Sampling
- NES Mathematics WEST Flashcards