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ACT Math Prep

 

The idea behind ths page is to provide a resource for students to prepare for the ACT Exam.

 

The best strategy is for students to bring a copy of their previous exam results (if available) the first day to determine which areas should be addressed in order of need, otherwise I'll "wing it" and address questions in the order listed. It would also be helpful to take a look at the practice exams listed in "Additional Resources" to find any areas that may be problematic.

 

BRING QUESTIONS!!! This crash course isn't designed to build your knowledge base from ground-zero; it's designed to fill knowledge gaps and jog your memory.

 

 Links to online practice exams as well as lectures/study notes for each section have been provided.

 

Date* Objectives Presentations  Materials Additional Resources
Day 1























Intro, Study Habits & Strategies























  Intro Lecture































Cheat Sheets & Reviews:

Cheat Sheet & Breakdown of Exam

Flash Cards

ACT Formula Review

Trig Angle Sum & Difference Identities



Books:

Preparing for the ACT

SAT/ACT Math & Beyond

Preparing for the ACT Math

100 Math Concepts









Online Practice Exams:

ACT Student.org
Test-guide.com
Test Prep Practice.com
4Tests.com
Free Test Online.com
Test Prep Review.com


Printable Practice Exams:

Exam 1
Exam 2
Exam 3
Exam 4
Exam 5
Exam 6














Day 1 cont.










Pre-Algebra 
(21.6%-23% or approx. 8 points)
13-14 Questions

Factors

Square roots and approximations

Absolute value and ordering numbers by value

Exponents

Scientific notation
 



  Properties of Real #

Algebraic Expressions

Factoring Using Backward Distributive Property

Roots and Radical Expressions

Properties of Exponents

8.3 Scientific Notation







 

Day 2












Elementary Algebra 
(16.6%-18.3% or approx. 6 to 7 points)
10-11 Questions

Exponents and square roots

Evaluation of algebraic expressions through
substitution

Using variables to express functional relationships

Algebraic operations

Factoring and quadratic equations




  Radical Multiplication

Divide Radicals

Radical Addition

Solving Radicals

Solving Systems of Equations by Substitution

Algebraic Expressions

Factors of Quadratic Functions

Factoring Review




 
 
Day 3















Intermediate Algebra
(15% or approx.. 5.4 points)
9 Questions

Quadratic formula

Rational and radical expressions

Absolute value equations and inequalities

Sequences and patterns

Polynomials

Complex numbers






  Quadratic Formula & Discriminant

Rational Exponents

Solving Radicals

Absolute Value Equations

Graphing Absolute Value Equations

Solving Inequalities

Polynomial Functions

Polynomial Factors and Zeros

Complex Number Operations 1

Complex Number Operations 2

Complex Number Operations 3



 
Day 4





















Coordinate Geometry
(15% or approx. 5.4 points)
9 Questions

Graphing and the relations between equations and graphs, including:
Points
Llines
Polynomials
Circles, and other curves

Graphing inequalities

Slope

Parallel and perpendicular lines
      
Distance & Midpoints

Conics








  Lines, Points, Planes

Slope

Slope-Intercept Form

Standard & Point-Slope Forms

Graphing 2-Variable Inequalities

Solving Systems of Equations Using Graphs

Graphing Quadratic Functions

Midpoint & Distance

Conics

Perimiter, Area & Circumference

Parallel Lines

Perpendicular Lines

Polygons in the Coordinate Plane



 
Day 5

































































Plane Geometry
(21.6%-23% or approx. 8 points)
13-14 Questions

Angles and relations among perpendicular and parallel lines  

Properties of:
Circles
Triangles
Rectangles
Parallelograms
Trapezoids

Transformations

Proof and proof techniques

Volume

Three-dimensional Geometry




























































 
  Parallel Lines, Perpendicular Lines & Triangles

Central Angles and Arcs

Area of Circles

Segment and Area Probability

Circle Tangents

Chords, Arcs & Central Angles

Inscribed Angles

Angle Measures on Circles

Circle Equations

Special Right Triangles

Isosceles Triangles

SAS & SSS Postulates

ASA and AAS Theorems

Congruent Triangles

Hypotenuse-Leg Theorem

Midsegment Theorem

Medians & Altitudes

Inequalites in Triangles

Angle Measures of Polygons

Paralellograms

Proving Paralellograms

Rhombuses & Rectangles

Properties of Trapezoids

Identifying Paralleograms as Rectangles and Rhombuses

Area of Triangles & Parallelograms

Area of Trapezoid, Rhombus & Kite

Translation

Reflection

Rotation

Symmetry

Dilations

Polygon Perimeters & Areas

Area of a Regular Polygon

Polyhedra

Surface Area of a Prism

Surface Area of a Pyramid

Volume of a Cylinder & Prism

Volume of a Pyramid and a Cone

Surface Area and Volume of a Sphere

Area and Volume of Similar Solids







 
 
Day 6













Trigonometry
(6.6%-8.3% or approx. 2.3 to 3 points)
4-5 Questions

Trigonometric relations in right triangles

Values and properties of trigonometric functions

Graphing trigonometric functions

Modeling using trigonometric functions

Solving trigonometric equations



  Pythagorean Theorem

Sine, Cosine, & Tangent

Inverse Trig f(x) & Law of Sines

Angles of Depression & Elevation

Finding Areas Using Trig

Law of the Sines

Law of the Cosines

Verifying Trig Identities

Trig Addidtion & Subtraction
   
 
Good Luck!!!!!!


 

   
           
           

 

*

Schedule is subject to change due to reteaching or unforseen events

 

Lectures are in MS PowerPoint (v10) format. The PowerPoint Vewer or Open Office suite may be freely downloaded.

 

Practice Problems are in PDF format. The 

Adobe Acrobat Viewer is also a free download.

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