ACT Math

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

Numbers and OperationsAlgebraic Expressions and EquationsGeometry Basics
Functions and GraphsProbability and StatisticsQuadratic Equations and Polynomials
Math in Personal FinanceGeometry in Real LifeStatistics in Everyday Decisions
Time Management on the ACTPlug-In and Backsolving
Numbers and Operatio...Algebraic Expression...Geometry BasicsFunctions and GraphsProbability and Stat...Quadratic Equations ...Math in Personal Fin...Geometry in Real Lif...Statistics in Everyd...Time Management on t...Plug-In and Backsolv...
Basic Concepts

Geometry Basics

Shapes, Angles, and Area

Geometry is about the properties and relationships of shapes. On the ACT, expect questions about triangles, circles, rectangles, and 3D figures.

Angles

  • The sum of angles in a triangle is always \( 180^\circ \).
  • Perpendicular lines meet at \( 90^\circ \).

Area and Perimeter

  • Area of a rectangle: \( A = l \times w \)
  • Area of a circle: \( A = \pi r^2 \)
  • Perimeter is the distance around a shape.

Volume

  • For a box: \( V = l \times w \times h \)

Real-World Connection

Geometry helps with everything from planning a garden to figuring out how much paint you need for a wall.

Fun Fact

Circles have the smallest perimeter for a given area!

Examples

  • Finding the area of a circle with radius 4: \( A = \pi \times 4^2 = 16\pi \)

  • Calculating the perimeter of a rectangle with sides 3 and 7: \( 2 \times (3+7) = 20 \)

In a Nutshell

Geometry helps you measure, compare, and visualize the world around you.

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Functions and Graphs