Course Name: Lumos StepUp ACT Practice Program - Math

Lesson Name
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
Multiply a vector by a scalar
Use matrices to represent & manipulate data
Multiplying Matrices by Scalars
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
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
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
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
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
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 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