ILTS Middle Grades

Exponents, variables, & properties

• 1 Exponents
• 2 Variables
• 3 Field Properties

Integers

• 4 Graphing and Writing Integers
• 5 Comparing Integers
• 6 Opposites and Absolute Value
• 7 Adding and Subtracting Integers
• 8 Multiplying and Dividing Integers
• 9 Order of Operations
• 10 Evaluation

Understanding fractions

• 11 Divisibility Rules
• 12 Factors and Primes
• 13 Prime Factorization
• 14 Multiples and Least Common Multiple
• 15 Greatest Common Factor
• 16 Introduction to Fractions
• 17 Equivalent Fractions (Part I)
• 18 Reducing Fractions to Lowest Terms
• 19 Equivalent Fractions (Part II)
• 20 Improper Fractions and Mixed Numbers
• 21 Comparing Proper Fractions
• 22 Comparing Mixed Numbers and Improper Fractions

Operations with fractions

• 23 Adding and Subtracting Like Fractions
• 24 Adding and Subtracting Unlike Fractions
• 25 Adding Mixed Numbers
• 26 Subtracting Mixed Numbers
• 27 Multiplying Fractions
• 28 Multiplying Mixed Numbers
• 29 Dividing Fractions
• 30 Dividing Mixed Numbers
• 31 Adding and Subtracting Fractions
• 32 Multiplying and Dividing Fractions

Decimals

• 33 Understanding Decimals
• 34 Converting Decimals to Fractions
• 35 Converting Fractions to Decimals
• 36 Comparing Decimals
• 37 Rounding Decimals
• 38 Powers of 10
• 39 Converting from Scientific to Standard Notation
• 40 Converting from Standard to Scientific Notation
• 41 Terminating and Repeating Decimals
• 42 Determining if a Number is Rational or Irrational

Algebraic expressions & equations in one variable

• 43 Combining Like Terms
• 44 Distributive Property
• 45 Distributive Property and Combining Like Terms
• 46 Using Algebra Tiles to Model Algebraic Equations
• 47 Two-Step Equations
• 48 Equations with Fractions
• 49 Equations Involving Distributive
• 50 Equations with Variable on Both Sides
• 51 Equations with Variable on Both Sides and Distributive
• 52 Literal Equations

Inequalities in one variable & absolute value

• 53 Solving and Graphing Inequalities
• 54 Combined Inequalities
• 55 Advanced Inequalities
• 56 Absolute Value Equations
• 57 Absolute Value Inequalities

Ratio, proportion, & percent

• 58 Introduction to Ratios
• 59 Equal Ratios
• 60 Unit Rate
• 61 Introduction to Proportion
• 62 Solving Proportions
• 63 Understanding Percents
• 64 Fractions and Percents
• 65 Decimals and Percents
• 66 Percent Word Problems

Word problems

• 67 Translating English to Algebra
• 68 Writing and Solving One-Step Equations
• 69 Writing and Solving Multi-Step Equations
• 70 Number Word Problems

Graphing, transformations, & symmetry

• 71 The Coordinate Grid
• 72 Transformations
• 73 Reflections
• 74 Translations
• 75 Rotations
• 76 Dilations
• 77 Symmetry

Functions & graphs

• 78 Domain and Range
• 79 Definition of a Function
• 80 Function and Arrow Notation
• 81 Graphing within a Given Domain
• 82 Graphing Lines
• 83 The Intercept Method
• 84 Graphing Inequalities in Two Variables

Linear equations in two variables

• 85 Patterns and Table Building
• 86 Word Problems and Table Building
• 87 Slope as a Rate of Change
• 88 Slope of a Line
• 89 Slope Formula
• 90 Slope-Intercept Form
• 91 Converting to Slope-Intercept Form and Graphing
• 92 Writing Equations of Lines
• 93 Writing Equations of Lines Using Tables
• 94 Direct Variation
• 95 Applications of Direct Variation and Linear Functions
• 96 Writing Equations of Lines in Standard Form
• 97 Writing Equations of Lines Using the Point-Slope Formula
• 98 Writing Equations of Lines Given Two Points

Systems of linear equations & inequalities

• 99 Solving Systems by Graphing
• 100 Solving Systems by Addition
• 101 Solving Systems by Substitution
• 102 Systems of Inequalities

Exponents & polynomials

• 103 The Product Rule
• 104 The Power Rule
• 105 The Quotient Rule
• 106 Numerical Bases and Exponents of Zero
• 107 F.O.I.L.

Factoring & polynomial equations

• 108 Greatest Common Factor
• 109 Factoring out the Greatest Common Factor
• 110 Factoring Trinomials with Positive Constants
• 111 Factoring Trinomials with Negative Constants
• 112 Difference of Two Squares
• 113 Factoring Trinomials with Lead Coefficients and Positive Constants
• 114 Factoring Trinomials with Lead Coefficients and Negative Constants
• 115 Beginning Polynomial Equations
• 116 Intermediate Polynomial Equations

Rational equations & inverse variation

• 117 Simplifying Rational Expressions
• 118 Rational Equations
• 119 Inverse Variation

Radical expressions & equations

• 120 Simplifying Radicals
• 121 Multiplying Radicals
• 122 Dividing Radicals
• 123 Adding Radicals and FOILing with Radicals
• 124 Radical Equations
• 125 Advanced Radical Equations

Quadratic equations

• 126 Linear or Quadratic Functions
• 127 Graphs of Quadratic Functions and Beginning Transformations
• 128 Graphs of Quadratic Functions and Advanced Transformations
• 129 Solving Quadratic Equations by Graphing
• 130 Taking the Square Root of Both Sides
• 131 Completing The Square
• 132 Quadratic Formula
• 133 Polynomial Inequalities

Quadratic functions

• 134 Understanding y - k = a(x - h)² Form
• 135 Graphing Quadratic Equations in y - k = a(x - h)² Form
• 136 Writing Quadratic Equations in y - k = a(x - h)² Form
• 137 Graphing Quadratic Functions
• 138 Sum and Product of Roots Formula
• 139 Writing Quadratic Functions

Integer & rational exponents

• 140 Negative Exponents
• 141 Numerical Bases with Negative Exponents
• 142 Multiplying and Dividing with Negative Exponents
• 143 Multiplying and Dividing with Scientific Notation
• 144 Rational Exponents
• 145 Numerical Bases with Rational Exponents
• 146 Writing Radicals in Exponential Form
• 147 Solving Equations with Rational Exponents

Composite & inverse functions

• 148 Composite Functions: f(g(x)) and g(f(x))
• 149 Inverse Relations
• 150 Inverse Functions

Exponential & logarithmic equations

• 151 Evaluating Logarithms and Logarithmic vs. Exponential Form
• 152 Solving Logarithmic Equations
• 153 Logarithm Rules and Properties
• 154 Evaluating Logarithms by Condensing or Expanding
• 155 Solving Advanced Logarithmic Equations
• 156 Logarithm Calculator Problems
• 157 Exponential Equations and Change of Base Formula
• 158 Exponential Growth and Decay
• 159 Half Life and Doubling Time Formulas

Introduction to geometry

• 160 Points, Lines, Planes, and Space
• 161 Segments, Rays, and Length
• 162 Segment Addition Postulate and Midpoint
• 163 Angles and Measure
• 164 Angle Addition Postulate and Angle Bisector
• 165 Inductive vs. Deductive Reasoning
• 166 Conditional Statements
• 167 Properties
• 168 Algebra Proofs with Properties
• 169 Geometry Proofs with Midpoints and Angle Bisectors

Angle pairs & perpendicular lines

• 170 Complementary and Supplementary Angles
• 171 Vertical Angles
• 172 Problems Involving Perpendicular Lines
• 173 Theorems Involving Perpendicular Lines

Parallel lines & polygons

• 174 Parallel Lines Vocabulary
• 175 Given Lines are Parallel
• 176 Proving Lines are Parallel
• 177 Triangle Vocabulary and Triangle Sum Theorem
• 178 Triangle Word Problems and Exterior Angle Theorem
• 179 Polygon Vocabulary
• 180 Sum of Interior and Exterior Angles of a Polygon
• 181 Regular Polygons

Congruent figures

• 182 Congruent Figures
• 183 Proving Triangles are Congruent by SSS, SAS, and ASA
• 184 Isosceles Triangle Theorems
• 185 Proving Triangles are Congruent by AAS and HL
• 186 Medians, Altitudes, and Perpendicular Bisectors

Quadrilaterals

• 187 Properties of Parallelograms
• 188 Proving a Quadrilateral is a Parallelogram
• 189 More Parallel Line Theorems
• 190 Rectangles, Rhombuses, and Squares
• 191 Trapezoids

Similarity

• 192 Ratio
• 193 Proportion
• 194 Properties of Similar Polygons
• 195 Angle-Angle Similarity Postulate
• 196 Similarity Word Problems
• 197 SSS and SAS Similarity Theorems
• 198 Triangle Proportionality and Triangle Angle-Bisector Theorems

Right triangles

• 199 Pythagorean Theorem
• 200 Pythagorean Theorem Word Problems
• 201 Converse of the Pythagorean Theorem
• 202 30-60-90 and 45-45-90 Degree Triangles
• 203 Sine, Cosine, and Tangent
• 204 Sine, Cosine, and Tangent with a Calculator
• 205 Trigonometry Word Problems

Coordinate geometry

• 206 Distance Formula
• 207 Midpoint Formula

Circles

• 208 Circle Vocabulary
• 209 Tangents
• 210 Arcs and Central Angles
• 211 Arcs and Chords
• 212 Inscribed Angles
• 213 Angles Formed by Chords, Secants, and Tangents
• 214 Circle Segment Lengths

Measurement, area, & volume

• 215 Customary Unit Conversions
• 216 Metric Unit Conversions
• 217 Units of Measurement
• 218 Area of Rectangles and Squares
• 219 Advanced Area of Rectangles and Squares
• 220 Area of Parallelograms
• 221 Area of Triangles
• 222 Area of Rhombuses
• 223 Area of Trapezoids
• 224 Area of Regular Polygons
• 225 Area and Circumference of Circles
• 226 Area and Volume of Prisms
• 227 Advanced Area and Volume of Prisms
• 228 Area and Volume of Pyramids
• 229 Advanced Area and Volume of Pyramids
• 230 Area and Volume of Cylinders and Cones
• 231 Area and Volume of Spheres

Statistics & probability

• 232 Pictographs and Line Plots
• 233 Bar Graphs
• 234 Line Graphs
• 235 Circle Graphs
• 236 Stem-and-Leaf Plots and Frequency Charts
• 237 Histograms
• 238 Scatterplots and Trends
• 239 Range, Median, and Mode
• 240 Box-and-Whisker Plots
• 241 Mean
• 242 Central Tendency Word Problems
• 243 Simple Probability
• 244 Experimental Probability
• 245 Probability of Independent Events
• 246 Probability of Dependent Events
• 247 Tree Diagrams and the Counting Principle
• 248 Permutations
• 249 Combinations