Course Name:
Lumos StepUp ACT Practice Program - Math

Lesson Name |
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ACT Math Tests | ||

Practice Test 1 | ||

Practice Test 2 | ||

Preparing for higher mathematics | ||

Evaluating Rational Exponents | ||

Simplifying Expressions with Rational Exponents | ||

Simplifying Irrational Expressions | ||

Understanding Units of Measure & Unit Conversion | ||

Recognizing Reasonable Answers to Word Problems | ||

Choosing an Appropriate Level of Accuracy for Measurements | ||

Introduction to Imaginary and Complex Numbers | ||

Add, subtract, and multiply complex numbers | ||

Find the conjugate of a complex number | ||

Representing Complex Numbers on the Complex Plane | ||

Representing Addition, Subtraction, and Multiplication of Complex Numbers | ||

Distance between numbers in the complex plane | ||

Solving Quadratic Equations with Real Coefficients that have Complex Solutions | ||

Extend polynomial identities to the complex numbers | ||

The Fundamental Theorem of Algebra | ||

Recognizing and Representing Vector Quantities | ||

Finding the Components of a Vector | ||

Solving Problems Involving Velocity and Other Quantities Represented by Vectors | ||

Add and subtract vectors | ||

Multiply a vector by a scalar | ||

Use matrices to represent & manipulate data | ||

Multiplying Matrices by Scalars | ||

Add, subtract & multiply matrices | ||

Matrix multiplication | ||

Zero, Identity and Inverse Matrices | ||

Transformations of Vectors with Matrices | ||

Calculate and Determine the Determinant of a Matrix | ||

Interpret Expressions | ||

Rewriting Expressions | ||

Writing Expressions in Equivalent Forms | ||

Finding the sum of a Finite Geometric Series | ||

Understand Polynomials | ||

Prove polynomial identities | ||

Remainder Theorem | ||

Zeros of a Polynomial | ||

Binomial Theorem | ||

Rewrite simple rational expressions | ||

Understand Rational expressions | ||

Create equations and inequalities in one variable | ||

Create equations in two or more variables | ||

Represent Constraints with Equations or Inequalities | ||

Rearrange formulas to highlight a quantity of interest | ||

Explaining Equation and using properties | ||

Solve simple rational and radical equations in one variable | ||

Solve Linear Equations and Inequalities with One Variable | ||

Solve Quadratic Equations with One Variable | ||

Solving Systems of Equations in Two Variables | ||

Solve systems of linear equations exactly and approximately | ||

Solve a simple system consisting of a linear equation and a quadratic equation | ||

Represent a system of linear equations as a single matrix equation in a vector variable. | ||

Solving Systems of Equations using Matrices and Inverses | ||

Understanding the Relationship between Equations & Graphs | ||

Reasoning with Equations and Graphs | ||

Reasoning with Equations and Inequalities | ||

Understand domain function and range | ||

Using Function Notation & Evaluating Functions | ||

Recognizing that Sequences are Functions | ||

Modeling Functional Relationships with Tables and Graphs | ||

Relating Domain of a Function to its Graph | ||

Calculating and Interpreting Rate of Change | ||

Understanding the Graph of a Function | ||

Writing Functions in Different Forms to find Critical Information | ||

Comparing properties of Functions | ||

Writing Functions that Describe a Relationship Between Two Quantities | ||

Writing Arithmetic and Geometric Sequences | ||

Transformation of Functions | ||

Finding Inverse Functions | ||

Exponential and Logarithmic Functions | ||

Radians, Degrees, and Arc Length | ||

The Unit Circle | ||

Special Triangles and Special Angles | ||

Symmetry and Odd-Even Relationships in the Unit Circle | ||

Inverses of the Trigonometric Functions | ||

Solving Trigonometric Equations Using Inverses | ||

Trigonometric Functions in the Quadrants | ||

Trigonometry of Sums and Differences of Angles | ||

Introduction to geometry, Geometry definitions | ||

Transformations in the coordinate plane | ||

Rotational and line symmetry | ||

Defining Transformations | ||

Graphing Transformations on a coordinate plane | ||

Transformations and congruence | ||

Transformations and congruent triangles | ||

Triangle congruencies | ||

Lines and Angle | ||

Triangles and their angles | ||

Parallelograms | ||

Geometric constructions | ||

Polygons inscribed in a circle | ||

Triangles & Rectangles | ||

AA similarity | ||

Theorems about Triangles | ||

Triangles Congruence Statements | ||

Triangle Similarity Statements | ||

Sine and Cosine of Complementary Angles | ||

Applications of The Pythagorean Theorem and Trigonometry | ||

Using Trigonometry to find Areas of Triangles | ||

Law of Sines and Law of Cosines | ||

Using the Law of Sines and Law of Cosines to Solve Triangles | ||

Similarity of Circles | ||

Angles, Radii, and Chords | ||

Construct the inscribed and circumscribed circles of a triangle | ||

Tangent to a circle | ||

Concepts related to sectors of a circle | ||

Equation of a circle | ||

Equation of a parabola | ||

Equations of Ellipses and Hyperbolas | ||

Use coordinates to prove simple geometric theorems | ||

Prove the slope criteria | ||

Find the point on a directed line segment | ||

Use coordinates to compute perimeters of polygons | ||

Cavalieri Principle and solids | ||

Formulas for the volume of a sphere and other solid figures | ||

Finding volume of cylinders, pyramids, cones and spheres | ||

Understanding the relationships between 2D and 3D | ||

Describing objects and their properties | ||

Density based on area and volume | ||

Geometric Design Problems | ||

Make inference about population parameters | ||

Consistency of results with data | ||

Recognize the purposes of and differences among sample surveys | ||

Estimate population mean | ||

A randomized experiment to compare two treatments | ||

Finding Conditional Probability | ||

Describe events as subsets of a sample space | ||

Independant probability events | ||

Understanding conditional probability | ||

Construct and Interpret Two-way Frequency Tables | ||

Recognize and Explain Conditional Probability | ||

Applying the Addition Rule and Interpreting Answers | ||

Applying the Multiplication Rule and Interpreting Answers | ||

Using Permutations and Combinations | ||

Calculate the expected value of a random variable | ||

Theoretical Probabilities for a Random Variable | ||

Finding Expected Value | ||

Weighing the Possible Outcomes | ||

Use probabilities to make fair decisions | ||

Analyzing Decisions and Strategies | ||

Integrating Essential Skills | ||

Unit Rates | ||

Solving Real World Ratio Problems | ||

Solving Unit Rate Problems | ||

Expressing Ratios | ||

Measurement Conversion | ||

Finding Percent | ||

Understanding and Representing Proportions | ||

Finding Constant of Proportionality | ||

Represent proportions by equations | ||

Significance of points on graphs of proportions | ||

Applying Ratios and Percents | ||

Simple Interest | ||

Compound Interest | ||

Expressions Involving Variables | ||

Writing Equivalent Expressions | ||

Identifying Equivalent Expressions | ||

Equations and Inequalities | ||

Modeling with Expressions | ||

Solving One-Step Equations | ||

Whole Number Exponents | ||

Representing Inequalities | ||

Quantitative Relationships | ||

Identifying Expression Parts | ||

Evaluating Expressions | ||

Solving One-Step Equations | ||

Applying Properties to Rational Expressions | ||

Interpreting the Meanings of Expressions | ||

Solving Multi-Step Problems | ||

Modeling Using Equations or Inequalities | ||

Linear Inequality Word Problems | ||

Statistical Questions | ||

Distribution | ||

Graphs and Charts | ||

Central Tendency | ||

Data Interpretation | ||

Describing the Nature | ||

Context of Data Gathered | ||

Relating Data Distributions | ||

Sampling a Population | ||

Describing Multiple Samples | ||

Mean, Median, and Mean Absolute Deviation | ||

Mean, Median, and Mode | ||

Understanding Probability | ||

Predicting Using Probability | ||

Using Probability Models | ||

Finding the Probability of a Compound Event | ||

Probability Models from Observed Frequencies | ||

Represent Sample Spaces | ||

Simulate Compound Events to Estimate Probability |