ACT Math

A comprehensive course covering the essential math concepts and strategies needed to excel on the ACT.

Numbers, Operations, and Number PropertiesAlgebraic Expressions and EquationsGeometry Fundamentals
Functions and GraphsSystems of Equations and InequalitiesProbability, Statistics, and Data Interpretation
Math in Everyday LifeCareers That Use MathMath in Sports and Games
Time Management and PacingPlugging In and Answer Choice StrategiesReading and Translating Word Problems
Numbers, Operations,...Algebraic Expression...Geometry Fundamental...Functions and GraphsSystems of Equations...Probability, Statist...Math in Everyday Lif...Careers That Use Mat...Math in Sports and G...Time Management and ...Plugging In and Answ...Reading and Translat...
Basic Concepts

Geometry Fundamentals

Shapes, Angles, and Space

Geometry questions on the ACT test your understanding of shapes, sizes, positions, and properties of space.

Key Concepts

  • Angles: Acute, right, obtuse, and straight
  • Triangles: Types (equilateral, isosceles, scalene) and the Pythagorean theorem
  • Circles: Radius, diameter, circumference, and area
  • Perimeter and Area: For rectangles, parallelograms, and other polygons

Useful Formulas

  • Area of a rectangle: \( A = lw \)
  • Circumference of a circle: \( C = 2\pi r \)
  • Pythagorean theorem: \( a^2 + b^2 = c^2 \)

Real-World Geometry

Geometry helps with things like designing a garden, building furniture, or planning a room layout.

Tips

Draw diagrams and label known values to make problems easier.

Examples

  • Finding the area of a triangle with base 6 and height 4: \( A = \frac{1}{2} \times 6 \times 4 = 12 \)

  • Using the Pythagorean theorem: If a right triangle has sides 3 and 4, the hypotenuse is \( \sqrt{3^2 + 4^2} = 5 \)

In a Nutshell

Geometry is all about understanding shapes, their properties, and how they fit together.

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Functions and Graphs