Indiana CORE Middle School Math Test Prep Course

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
• 11 Absolute Value

Understanding fractions

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

Operations with fractions

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

Decimals

• 34 Understanding Decimals
• 35 Converting Decimals to Fractions
• 36 Converting Fractions to Decimals
• 37 Comparing Decimals
• 38 Rounding Decimals
• 39 Estimating Sums and Differences of Decimals
• 40 Adding and Subtracting Decimals Word Problems
• 41 Multiplying and Dividing Decimals Word Problems
• 42 Powers of 10
• 43 Converting from Scientific to Standard Notation
• 44 Converting from Standard to Scientific Notation
• 45 Terminating and Repeating Decimals
• 46 Determining if a Number is Rational or Irrational

Algebraic expressions & equations in one variable

• 47 Recognizing Patterns
• 48 Combining Like Terms
• 49 Distributive Property
• 50 Distributive Property and Combining Like Terms
• 51 Using Algebra Tiles to Model Algebraic Equations
• 52 Two-Step Equations
• 53 Equations with Fractions
• 54 Equations Involving Distributive
• 55 Equations with Variable on Both Sides
• 56 Equations with Variable on Both Sides and Distributive
• 57 Equations with Decimals
• 58 Literal Equations

Inequalities in one variable & absolute value

• 59 Solving and Graphing Inequalities
• 60 Combined Inequalities
• 61 Advanced Inequalities
• 62 Absolute Value Equations
• 63 Absolute Value Inequalities

Ratio, proportion, & percent

• 64 Introduction to Ratios
• 65 Equal Ratios
• 66 Unit Rate
• 67 Introduction to Proportion
• 68 Solving Proportions
• 69 Understanding Percents
• 70 Fractions and Percents
• 71 Decimals and Percents
• 72 Percent Word Problems
• 73 Percent Increase or Decrease
• 74 Discount
• 75 Sales Tax
• 76 Interest

Word problems

• 77 Translating English to Algebra
• 78 Writing and Solving One-Step Equations
• 79 Writing and Solving Multi-Step Equations
• 80 Number Word Problems

Graphing, transformations, & symmetry

• 81 The Coordinate Grid
• 82 Transformations
• 83 Reflections
• 84 Translations
• 85 Rotations
• 86 Dilations
• 87 Symmetry

Functions & graphs

• 88 Domain and Range
• 89 Definition of a Function
• 90 Function and Arrow Notation
• 91 Graphing within a Given Domain
• 92 Graphing Lines
• 93 The Intercept Method
• 94 Graphing Inequalities in Two Variables

Linear equations in two variables

• 95 Patterns and Table Building
• 96 Word Problems and Table Building
• 97 Slope as a Rate of Change
• 98 Slope of a Line
• 99 Slope Formula
• 100 Slope-Intercept Form
• 101 Converting to Slope-Intercept Form and Graphing
• 102 Linear Parent Graph and Transformations
• 103 Interpreting Graphs
• 104 Writing Equations of Lines
• 105 Writing Equations of Lines Using Tables
• 106 Direct Variation
• 107 Applications of Direct Variation and Linear Functions

Standard form of linear equations

• 108 Writing Equations of Lines in Standard Form
• 109 Writing Equations of Lines Using the Point-Slope Formula
• 110 Writing Equations of Lines Given Two Points

Systems of linear equations & inequalities

• 111 Solving Systems by Graphing
• 112 Solving Systems by Addition
• 113 Solving Systems by Substitution
• 114 Systems of Inequalities

Exponents & polynomials

• 115 The Product Rule
• 116 The Power Rule
• 117 The Quotient Rule
• 118 Numerical Bases and Exponents of Zero
• 119 F.O.I.L.

Factoring & polynomial equations

• 120 Greatest Common Factor
• 121 Factoring out the Greatest Common Factor
• 122 Factoring Trinomials with Positive Constants
• 123 Factoring Trinomials with Negative Constants
• 124 Difference of Two Squares
• 125 Factoring Trinomials with Lead Coefficients and Positive Constants
• 126 Factoring Trinomials with Lead Coefficients and Negative Constants
• 127 Beginning Polynomial Equations
• 128 Intermediate Polynomial Equations

Rational equations & inverse variation

• 129 Simplifying Rational Expressions
• 130 Multiplying and Dividing Rational Expressions
• 131 Adding Rational Expressions
• 132 Subtracting Rational Expressions
• 133 Rational Equations
• 134 Inverse Variation

Radical expressions & equations

• 135 Simplifying Radicals
• 136 Multiplying Radicals
• 137 Dividing Radicals
• 138 Adding Radicals and FOILing with Radicals
• 139 Radical Equations
• 140 Advanced Radical Equations

Quadratic equations

• 141 Linear or Quadratic Functions
• 142 Graphs of Quadratic Functions and Beginning Transformations
• 143 Graphs of Quadratic Functions and Advanced Transformations
• 144 Solving Quadratic Equations by Graphing
• 145 Taking the Square Root of Both Sides
• 146 Completing The Square
• 147 Quadratic Formula
• 148 Advanced Polynomial Equations

Quadratic functions

• 149 Understanding y - k = a(x - h)² Form
• 150 Graphing Quadratic Equations in y - k = a(x - h)² Form
• 151 Writing Quadratic Equations in y - k = a(x - h)² Form
• 152 Graphing Quadratic Functions
• 153 Sum and Product of Roots Formula
• 154 Writing Quadratic Functions

Integer & rational exponents

• 155 Negative Exponents
• 156 Numerical Bases with Negative Exponents
• 157 Multiplying and Dividing with Negative Exponents
• 158 Multiplying and Dividing with Scientific Notation
• 159 Rational Exponents
• 160 Numerical Bases with Rational Exponents
• 161 Writing Radicals in Exponential Form
• 162 Solving Equations with Rational Exponents

Composite & inverse functions

• 163 Composite Functions: f(g(x)) and g(f(x))
• 164 Inverse Relations
• 165 Inverse Functions

Exponential & logarithmic equations

• 166 Evaluating Logarithms and Logarithmic vs. Exponential Form
• 167 Solving Logarithmic Equations
• 168 Logarithm Rules and Properties
• 169 Evaluating Logarithms by Condensing or Expanding
• 170 Solving Advanced Logarithmic Equations
• 171 Logarithm Calculator Problems
• 172 Exponential Equations and Change of Base Formula
• 173 Exponential Growth and Decay
• 174 Half Life and Doubling Time Formulas

Introduction to geometry

• 175 Points, Lines, Planes, and Space
• 176 Segments, Rays, and Length
• 177 Segment Addition Postulate and Midpoint
• 178 Angles and Measure
• 179 Angle Addition Postulate and Angle Bisector
• 180 Inductive vs. Deductive Reasoning
• 181 Conditional Statements
• 182 Properties
• 183 Algebra Proofs with Properties
• 184 Geometry Proofs with Midpoints and Angle Bisectors

Angle pairs & perpendicular lines

• 185 Complementary and Supplementary Angles
• 186 Vertical Angles
• 187 Problems Involving Perpendicular Lines
• 188 Theorems Involving Perpendicular Lines

Parallel lines & polygons

• 189 Parallel Lines Vocabulary
• 190 Given Lines are Parallel
• 191 Proving Lines are Parallel
• 192 Triangle Vocabulary and Triangle Sum Theorem
• 193 Triangle Word Problems and Exterior Angle Theorem
• 194 Polygon Vocabulary
• 195 Sum of Interior and Exterior Angles of a Polygon
• 196 Regular Polygons

Congruent figures

• 197 Congruent Figures
• 198 Proving Triangles are Congruent by SSS, SAS, and ASA
• 199 Isosceles Triangle Theorems
• 200 Proving Triangles are Congruent by AAS and HL
• 201 Medians, Altitudes, and Perpendicular Bisectors

Quadrilaterals

• 202 Properties of Parallelograms
• 203 Proving a Quadrilateral is a Parallelogram
• 204 More Parallel Line Theorems
• 205 Rectangles, Rhombuses, and Squares
• 206 Trapezoids

Similarity

• 207 Ratio
• 208 Proportion
• 209 Properties of Similar Polygons
• 210 Angle-Angle Similarity Postulate
• 211 Similarity Word Problems
• 212 SSS and SAS Similarity Theorems
• 213 Triangle Proportionality and Triangle Angle-Bisector Theorems

Right triangles

• 214 Pythagorean Theorem
• 215 Pythagorean Theorem Word Problems
• 216 Converse of the Pythagorean Theorem
• 217 30-60-90 and 45-45-90 Degree Triangles
• 218 Sine, Cosine, and Tangent
• 219 Sine, Cosine, and Tangent with a Calculator
• 220 Trigonometry Word Problems

Coordinate geometry

• 221 Distance Formula
• 222 Midpoint Formula

Circles

• 223 Circle Vocabulary
• 224 Tangents
• 225 Arcs and Central Angles
• 226 Arcs and Chords
• 227 Inscribed Angles
• 228 Angles Formed by Chords, Secants, and Tangents
• 229 Circle Segment Lengths

Measurement, area, & volume

• 230 Customary Unit Conversions
• 231 Metric Unit Conversions
• 232 Units of Measurement
• 233 Area of Rectangles and Squares
• 234 Advanced Area of Rectangles and Squares
• 235 Area of Parallelograms
• 236 Area of Triangles
• 237 Area of Rhombuses
• 238 Area of Trapezoids
• 239 Area of Regular Polygons
• 240 Area and Circumference of Circles
• 241 Surface Area
• 242 Volume of Prisms and Pyramids
• 243 Volume of Cylinders, Spheres, and Cones

Statistics & probability

• 244 Pictographs and Line Plots
• 245 Bar Graphs
• 246 Line Graphs
• 247 Circle Graphs
• 248 Stem-and-Leaf Plots and Frequency Charts
• 249 Histograms
• 250 Scatterplots and Trends
• 251 Range, Median, and Mode
• 252 Box-and-Whisker Plots
• 253 Mean
• 254 Central Tendency Word Problems
• 255 Simple Probability
• 256 Experimental Probability
• 257 Probability of Independent Events
• 258 Probability of Dependent Events
• 259 Tree Diagrams and the Counting Principle
• 260 Permutations
• 261 Combinations