## Course curriculum

• 1

### Competency 001: Instruction and Assessment

• Competency 001 Introduction

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• Instructional Activities

• Instructional Strategies

• Instruction and Cognitive Development

• Technological Tools and Manipulatives

• Instructional Grouping

• Using Tools in Mathematics

• Instructional Methods and the TEKS

• Learning Goals and Instruction

• Connecting Math and Other Disciplines

• Questioning Strategies and Metacognition

• Formal and Informal Assessments

• Assessment and Instruction

• Purposes, Traits, and Uses of Assessments

• Mathematics in the Workplace

• Competency 001 Sample Questions

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• 2

### Competency 002 -Number Concepts and Operations

• Competency 002 -Number Concepts

• Operations, Algorithms, and Number Properties

• Equivalency

• Fractions, Decimals, and Percents

• Number Theory Concepts

• Relative Magnitude

• Models

• Concrete and Visual Representations

• Counting Techniques

• Place Value, Rounding, and Mental Math

• Fractions

• Problem Solving

• Competency 002 Sample Questions

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• 3

### Competency 003 - Patterns and Algebra

• Competency 003 - Patterns

• Functions

• Linear Functions

• Algebraic Reasoning

• Implicit and Explicit Rules

• Patterns

• Properties, Graphs, and Functions

• Using Variables and Unknowns

• Proportional Reasoning

• Linear Function Representing Data

• Relationships

• Algebraic Methods

• Competency 003 Sample Questions

• 4

### Competency 004 - Geometry and Measurement

• Competency 004 - Geometry

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• Direction, Shape, and Structure

• Formulas

• Congruent Triangles

• Concepts and Properties in Geometry

• Perpendicular and Parallel Lines

• Various Representations in Geometry

• Symmetry and Tessellations

• Measurement Principles

• Units of Measure

• Reflections, Rotations, and Translations

• Conversions for Measurement

• Logical Reasoning

• Polygons

• Decompose Polygons

• Money

• Concepts and Properties of Geometric Figures

• Coordinate Plane

• Competency 004 Sample Questions

• 5

### Competency 005 – Probability and Statistics

• Competency 005 – Probability

• Data

• Central Tendency

• Probability Concepts

• Simple and Compound Events

• Sample Spaces and Probability

• Using Probability

• Solving Probability Problems

• Supporting Arguments, Making Predictions and Conclusions Using Statistics

• Statistical Experiments

• Probability Models

• Normal Distribution

• Competency 005 Sample Questions

• 6

### Competency 006 – Mathematical Processes

• Competency 006 – Mathematical Processes

• Formal and Informal Reasoning

• Mathematical Reasoning

• Inductive and Deductive Reasoning

• Evaluating Solutions

• Connections

• Strategies

• Expressing Mathematical Statements

• Using Representations to Communicate Mathematical Ideas

• Visual Media

• Estimation and Compatible Numbers

• Manipulatives

• History of Mathematics

• Competency 006 Sample Questions

• 7

### Final Test

• Full Length Sample Math Test for TExES Core Subjects EC-6 391 Exam

• Final Test (MATHEMATICS) TExES Core Subjects EC-6 391