ILTS math test prep

Jump Start Your Teaching Career With Our ILTS Math Test Prep Courses

MathHelp.com offers 3 complete ILTS® math prep courses with a personal math teacher. Don’t let math hold you back from getting certified to become the teacher you deserve to be!

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“I used MathHelp.com for ILTS math prep.  I had to take the test for academic proficiency, and I was having a hard time with math.  The more I went online, the more confused I got.  When I finally MathHelp, it was as if a light bulb went off”   – Percy Rose

About the ILTS Math Tests

Testing has been required of candidates seeking Illinois teaching, school service personnel, and administrative licenses since 1988. Legislation enacted at that time, Section 21B-30 of the School Code of Illinois, established a testing program as part of the state’s licensure requirements. Subsequent legislation and the adoption of administrative rules by the Illinois State Board of Education (ISBE) provided additional requirements and information regarding the specific tests required of licensure candidates, as well as when the tests must be taken and who must take the tests. Under the direction of ISBE, the Illinois Licensure Testing System (ILTS) was custom designed and developed by the Evaluation Systems group of Pearson to meet Illinois’ needs and requirements relating to the preparation and licensure of educators. The ILTS tests are criterion referenced and objective based. A criterion-referenced test is designed to measure a candidate’s knowledge and skills in relation to an established standard rather than in relation to the performance of other candidates. The explicit purpose of these tests is to help identify, for licensure purposes, candidates who have demonstrated the level of knowledge required to perform satisfactorily in their fields of specialization. While candidates receive performance feedback on their ILTS score reports, they do not receive specific information about the items they answered incorrectly. The language proficiency tests assess knowledge of the language needed by a bilingual teacher to communicate effectively in everyday school settings. All the test objectives and standards developed for the ILTS were reviewed by committees of Illinois educators for relevance to the field of teaching and alignment with state and national standards. A content validation survey was then conducted in each field using practicing Illinois educators and higher education faculty, who were selected by random sample. Each survey participant reviewed the objectives/standards in his or her field to ensure that only objectives/standards that are important to the job and that are used in Illinois classrooms were selected for testing. Test questions matched to each objective/standard were developed on the basis of textbooks, Illinois curriculum guides, and professional preparation and licensure standards. These questions were developed in consultation with committees of Illinois educators, higher education faculty, and other content specialists. Test questions are field-tested and then continually reviewed to ensure content is current and accurate. All tests within the ILTS periodically undergo a comprehensive review to ensure that the tests accurately reflect the minimum content knowledge and basic skills required of the Illinois public school educator.

ILTS Math Test Prep Courses

CHAPTER 1: WHOLE NUMBERS & PROPERTIES

Unit 1: Number Concepts

Place Value

Comparing Numbers

Rounding

Unit 2: Addition and Subtraction

Addition

Subtraction

Estimating Sums and Differences

Addition and Subtraction Word Problems

Unit 3: Multiplication and Division

Multiplication

Exponents

Division

Estimating Products and Quotients

Multiplication and Division Word Problems

Unit 4: Variables and Properties

Order of Operations

Grouping Symbols

Variables

Addition Properties

Multiplication Properties

CHAPTER 2: INTEGERS

Unit 1: Introduction to Integers

Graphing and Writing Integers

Comparing Integers

Opposites and Absolute Value

Unit 2: Operations with Integers

Addition

Subtraction

Multiplication

Division

Word Problems

Unit 3: Order of Operations/Evaluation

Order of Operations

Evaluation

CHAPTER 3: UNDERSTANDING FRACTIONS

Unit 1: Factors and Multiples

Divisibility Rules

Factors and Primes

Prime Factorization

Multiples and Least Common Multiples

Greatest Common Factor

Unit 2: Fractions and Mixed Numbers

Introduction to Fractions

Equivalent Fractions (Part I)

Lowest Terms

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

Unit 3: Comparing Fractions

Comparing Proper Fractions

Comparing Mixed Numbers and Improper Fractions

CHAPTER 4: OPERATIONS WITH FRACTIONS

Unit 1: Adding and Subtracting Fractions

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

Adding Mixed Numbers

Subtracting Mixed Numbers

Unit 2: Multiplying and Dividing Fractions

Multiplying Fractions

Multiplying Mixed Numbers

Dividing Fractions

Dividing Mixed Numbers

Unit 3: Operations with Rational Numbers

Addition and Subtraction

Multiplication and Division

CHAPTER 5: DECIMALS

Unit 1: Decimal Concepts

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

Comparing Decimals

Rounding Decimals

Unit 2: Addition and Subtraction

Estimating Sums and Differences

Adding Decimals

Subtracting Decimals

Word Problems

Unit 3: Multiplication and Division

Multiplying Decimals by Whole Numbers

Multiplying Decimals by Decimals

Dividing Decimals by Whole Numbers

Dividing Decimals by Decimals

Word Problems

Unit 4: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

Unit 5: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

CHAPTER 6: EXPRESSIONS, EQUATIONS, & INEQUALITIES

Unit 1: Patterns

Patterns with Whole Numbers

Patterns with Fractions, Decimals, and Integers

Advanced Patterns

Unit 2: Simplifying Algebraic Expressions

Combining Like Terms

Distributive Property

Distributive / Like Terms

Unit 3: Solving One- and Two-Step Equations

Using Algebra Tiles to Model Algebraic Equations

One-Step Equations

Two-Step Equations

Equations with Fractions

Unit 4: Solving Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides

Variable on Both Sides / Distributive

Unit 5: Formulas

Beginning Formulas

Unit 6: Inequalities

Introduction to Inequalities

Solving Inequalities

Solving and Graphing Inequalities

CHAPTER 7: RATIO, PROPORTION, & PERCENT

Unit 1: Ratios and Rates

Introduction to Ratios

Equal Ratios

Unit Rate

Unit Price

Unit 2: Proportions

Introduction to Proportion

Solving Proportions

Word Problems

Unit 3: Percents, Decimals, and Fractions

Understanding Percents

Fractions and Percents

Decimals and Percents

Unit 4: Percent Problems

Percent Problems

Percent Increase or Decrease

Unit 5: Applications of Percent

Discount

Sales Tax

Interest

CHAPTER 8: WORD PROBLEMS

Unit 1: Modeling Expressions and Beginning Word Problems

Translating English to Algebra

Writing and Solving Equations

Modeling Two-Step Equations

Unit 2: Advanced Word Problems

Number Problems

Geometry Problems

CHAPTER 9: GRAPHING AND FUNCTIONS

Unit 1: Functions

The Coordinate Grid

Domain and Range

Definition of a Function

Function and Arrow Notation

Unit 2: Graphing

Graphing within a Given Domain

Graphing Lines

The Intercept Method

Graphing Inequalities in Two Variables

CHAPTER 10: LINEAR EQUATIONS

Unit 1: Patterns and Table Building

Patterns and Table Building

Word Problems and Table Building

Unit 2: Slope

Slope as a Rate of Change

Using the Graph of a Line to Find Slope

Using Slope to Graph a Line

Using Coordinates to Find Slope

Unit 3: Slope Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Unit 4: Equations of Lines

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

Unit 5: Applications of Linear Equations

Direct Variation

Applications of Direct Variation and Linear Functions

Unit 6: Interpreting Graphs

Interpreting Graphs

CHAPTER 11: GEOMETRY

Unit 1: Reasoning

Inductive vs. Deductive Reasoning

Unit 2: Lines, Segments, and Angles

Points, Lines, Segments, and Rays

Classifying Lines

Angles

Measuring Angles

Complementary and Supplementary Angles

Unit 3: Triangles

Angles of a Triangle

Sides of a Triangle

Unit 4: Polygons and Circles

Polygons

Quadrilaterals

Circles

Unit 5: Three-Dimensional Figures

Classifying 3-Dimensional Figures

Nets

Unit 6: Congruent and Similar Figures

Congruent Figures

Similar Figures

Problem Solving with Similar Figures

CHAPTER 12: SYMMETRY & TRANSFORMATIONS

Unit 1: Symmetry

Symmetry

Unit 2: Transformations

Transformations

Reflections

Translations

Rotations

Dilations

CHAPTER 13: MEASUREMENT, AREA, & VOLUME

Unit 1: Units of Measurement

Customary Unit Conversions

Metric Unit Conversions

Units of Measurement

Unit 2: Perimeter and Circumference

Perimeter

Circumference

Word Problems

Unit 3: Area

Area of Squares and Rectangles

Area of Triangles

Area of Parallelograms and Trapezoids

Area of a Circle

Word Problems

Unit 4: Surface Area and Volume

Surface Area

Volume of Prisms and Pyramids

Volume of Cylinders, Spheres, and Cones

Word Problems

Unit 5: Right Triangles

Square Roots

Using Square Roots to Solve Equations

Pythagorean Theorem

Pythagorean Triples

CHAPTER 14: STATISTICS & PROBABILITY

Unit 1: Common Graphs and Charts

Pictographs and Line Plots

Bar Graphs

Line Graphs

Circle Graphs

Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

Histograms

Scatterplots and Trends

Unit 3: Central Tendency

Range, Median, and Mode

Box-and-Whisker Plots

Mean

Word Problems

Unit 4: Probability

Simple Probability

Experimental Probability

Probability of Independent Events

Probability of Dependent Events

Simulations

Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations

CHAPTER 1: WHOLE NUMBERS & PROPERTIES

Unit 1: Addition and Subtraction

Estimating Sums and Differences

Addition and Subtraction Word Problems

Unit 2: Multiplication and Division

Exponents

Estimating Products and Quotients

Multiplication and Division Word Problems

Unit 3: Variables and Properties

Variables

Addition Properties

Multiplication Properties

CHAPTER 2: INTEGERS

Unit 1: Introduction to Integers

Graphing and Writing Integers

Comparing Integers

Opposites and Absolute Value

Unit 2: Operations with Integers

Addition

Subtraction

Multiplication

Division

Unit 3: Order of Operations/Evaluation

Order of Operations

Evaluation

CHAPTER 3: UNDERSTANDING FRACTIONS

Unit 1: Factors and Multiples

Divisibility Rules

Factors and Primes

Prime Factorization

Multiples and Least Common Multiples

Greatest Common Factor

Unit 2: Fractions and Mixed Numbers

Introduction to Fractions

Equivalent Fractions (Part I)

Lowest Terms

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

Unit 3: Comparing Fractions

Comparing Proper Fractions

Comparing Mixed Numbers and Improper Fractions

CHAPTER 4: OPERATIONS WITH FRACTIONS

Unit 1: Adding and Subtracting Fractions

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

Adding Mixed Numbers

Subtracting Mixed Numbers

Unit 2: Multiplying and Dividing Fractions

Multiplying Fractions

Multiplying Mixed Numbers

Dividing Fractions

Dividing Mixed Numbers

Unit 3: Operations with Rational Numbers

Addition and Subtraction

Multiplication and Division

CHAPTER 5: DECIMALS

Unit 1: Decimal Concepts

Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

Comparing Decimals

Rounding Decimals

Unit 2: Addition and Subtraction

Estimating Sums and Differences

Adding Decimals

Subtracting Decimals

Word Problems

Unit 3: Multiplication and Division

Multiplying Decimals by Whole Numbers

Multiplying Decimals by Decimals

Dividing Decimals by Whole Numbers

Dividing Decimals by Decimals

Word Problems

Unit 4: Scientific Notation

Powers of Ten

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

Unit 5: Rational Numbers

Terminating and Repeating Decimals

CHAPTER 6: EXPRESSIONS, EQUATIONS & INEQUALITIES

Unit 1: Patterns

Patterns with Whole Numbers

Patterns with Fractions, Decimals, and Integers

Advanced Patterns

Unit 2: Simplifying Algebraic Expressions

Combining Like Terms

Distributive Property

Distributive / Like Terms

Unit 3: Solving One- and Two-Step Equations

One-Step Equations

Two-Step Equations

Equations with Fractions

Unit 4: Solving Multi-Step Equations

Equations Involving Distributive

Variable on Both Sides

Variable on Both Sides / Distributive

Unit 5: Formulas

Beginning Formulas

Unit 6: Inequalities

Introduction to Inequalities

Solving Inequalities

Solving and Graphing Inequalities

CHAPTER 7: RATIO AND PROPORTION

Unit 1: Ratios and Rates

Introduction to Ratios

Equal Ratios

Unit Rate

Unit Price

Unit 2: Proportions

Introduction to Proportion

Solving Proportions

Word Problems

Unit 3: Percents, Decimals, and Fractions

Understanding Percents

Fractions and Percents

Decimals and Percents

Unit 4: Percent Problems

Percent Problems

Percent Increase or Decrease

Unit 5: Applications of Percent

Discount

Sales Tax

Interest

CHAPTER 8: WORD PROBLEMS

Unit 1: Modeling Expressions and Beginning Word Problems

Translating English to Algebra

Writing and Solving Equations

Modeling Two-Step Equations

Unit 2: Advanced Word Problems

Number Problems

Geometry Problems

CHAPTER 9: GRAPHING AND FUNCTIONS

Unit 1: Graphing and Functions

The Coordinate Grid

Relations and Functions

Evaluating and Graphing Functions

Unit 2: Graphing Lines

Graphing Lines

The Intercept Method

CHAPTER 10: LINEAR EQUATIONS

Unit 1: Slope

Using the Graph of a Line to Find Slope

Using Slope to Graph a Line

Using Coordinates to Find Slope

Unit 2: Slope Intercept Form and Graphs

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

Unit 3: Equations of Lines

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

Unit 4: Interpreting Graphs

Interpreting Graphs

CHAPTER 11: GEOMETRY

Unit 1: Lines, Segments, and Angles

Points, Lines, Segments, and Rays

Classifying Lines

Angles

Measuring Angles

Complementary and Supplementary Angles

Unit 2: Triangles

Angles of a Triangle

Sides of a Triangle

Unit 3: Polygons and Circles

Polygons

Quadrilaterals

Circles

Unit 4: Three-Dimensional Figures

Classifying 3-Dimensional Figures

Nets

Unit 5: Congruent and Similar Figures

Congruent Figures

Similar Figures

Problem Solving with Similar Figures

Unit 6: Reasoning

Inductive vs. Deductive Reasoning

CHAPTER 12: MEASUREMENT, AREA, AND VOLUME

Unit 1: Units of Measurement

Customary Unit Conversions

Metric Unit Conversions

Units of Measurement

Unit 2: Perimeter and Circumference

Perimeter

Circumference

Word Problems

Unit 3: Area

Area of Squares and Rectangles

Area of Triangles

Area of Parallelograms and Trapezoids

Area of a Circle

Word Problems

Unit 4: Surface Area and Volume

Surface Area

Volume of Prisms and Pyramids

Volume of Cylinders, Spheres, and Cones

Word Problems

Unit 5: Right Triangles

Square Roots

Using Square Roots to Solve Equations

Pythagorean Theorem

Pythagorean Triples

CHAPTER 13: STATISTICS AND PROBABILITY

Unit 1: Common Graphs and Charts

Pictographs and Line Plots

Bar Graphs

Line Graphs

Circle Graphs

Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

Histograms

Dependency and Correlational Relationships

Scatterplots and Trends

Unit 3: Central Tendency

Range, Median, and Mode

Box-and-Whisker Plots

Mean

Word Problems

Unit 4: Probability

Simple Probability

Experimental Probability

Probability of Independent Events

Probability of Dependent Events

Unit 5: Counting Methods

Tree Diagrams and the Counting Principle

Permutations

Combinations