Algebra 1 Summer Classes: Curriculum Overview

If your child is taking a beginning algebra course over the summer, it's likely that he or she will be taught the same curriculum that students are taught during the school year. However, the individual class sessions may be longer so that more material can be covered in a shorter time overall frame.

Find available tutors

Overview of Algebra 1

Although the high school algebra curriculum may vary slightly from school to school and teacher to teacher, the major concepts will be the same. Most teachers assume that when students enter algebra, they already know how to solve simple 1- and 2-step equations and work with radicals and exponents. Competently performing number operations with fractions, decimals and negative numbers is also a prerequisite. If your child struggles with these skills, it would be a good idea to review them.

Linear Equations

Linear equations represent continuously increasing relationships between two variables. In other words, for every unit change in the variable x, the value of y will increase or decrease by a given amount.

For example, if you're buying cans of soup that cost $2.00 each, the relationship between the total number of cans you buy and the total cost could be represented using the linear equation y = 2x. In this equation, y represents the total cost, and x represents the number of cans purchased. Since each one costs $2.00, the total cost will always be equal to 2 multiplied by the number of cans.

If you graph this relationship, the graph will be a straight line starting at 0 and passing through the points (1,2), (3,6) and so on. The location of this line on the graph tells you the total cost of any number of soup cans.

In beginning algebra, the class might be given word problems, and the students will be asked to write and graph an equation to solve them. Other problems will be more abstract. Instead of a real-word problem, students are given a graph and asked to write the corresponding equation, or vice versa.

Systems of Equations

Once your child has mastered linear equations, he or she will learn to solve and graph systems of equations. A 'system' usually contains two equations for lines that may or may not intersect at some point. Students learn different ways to solve systems of equations by determining which variable values satisfy both equations and thus represent the point of intersection. They'll also learn that some systems have equations that don't intersect, so they have no solution.

Polynomials

Your child will also spend lots of time in beginning algebra working with polynomials, like 4x^3 + 2x - 5 and x^2 - x + 4. Complex polynomials represent relationships that are not linear. Instead, the lines representing polynomial equations may meander up and down as they progress from left to right across the graph. Your child's algebra teacher may or may not ask the class to actually graph complex polynomials, but the students will most likely learn the initial steps of the process. They'll begin by factoring the polynomial, and then they'll find its zeroes.

Did you find this useful? If so, please let others know!

Other Articles You May Be Interested In

  • More Blog Articles
    Algebra for the IPad Generation

    For many students, algebra inspires apprehension and dread. Today, students are increasingly dependent on tools, such as iPads and even their phones, that can do the work of algebra for them. This makes the job of a teacher trying to convey algebra's importance difficult. Yet there are still ways to make algebra relevant,...

  • More Blog Articles
    Not Your Father's Algebra As 45 States Look to Math Reform

    One plus one will always equal two...but just how students are taught math is going to change. Nearly every state in the country has adopted the Common Core Standards; for math, this means new and more in-depth approaches to teaching the subject. Have we seen the last of traditional algebra and geometry classes?

We Found 7 Tutors You Might Be Interested In

Huntington Learning

  • What Huntington Learning offers:
  • Online and in-center tutoring
  • One on one tutoring
  • Every Huntington tutor is certified and trained extensively on the most effective teaching methods
In-Center and Online

K12

  • What K12 offers:
  • Online tutoring
  • Has a strong and effective partnership with public and private schools
  • AdvancED-accredited corporation meeting the highest standards of educational management
Online Only

Kaplan Kids

  • What Kaplan Kids offers:
  • Online tutoring
  • Customized learning plans
  • Real-Time Progress Reports track your child's progress
Online Only

Kumon

  • What Kumon offers:
  • In-center tutoring
  • Individualized programs for your child
  • Helps your child develop the skills and study habits needed to improve their academic performance
In-Center and Online

Sylvan Learning

  • What Sylvan Learning offers:
  • Online and in-center tutoring
  • Sylvan tutors are certified teachers who provide personalized instruction
  • Regular assessment and progress reports
In-Home, In-Center and Online

Tutor Doctor

  • What Tutor Doctor offers:
  • In-Home tutoring
  • One on one attention by the tutor
  • Develops personlized programs by working with your child's existing homework
In-Home Only

TutorVista

  • What TutorVista offers:
  • Online tutoring
  • Student works one-on-one with a professional tutor
  • Using the virtual whiteboard workspace to share problems, solutions and explanations
Online Only

Help Your Child Succeed

Our Commitment to You

  • Free Help from Teachers

  • Free Learning Materials

  • Helping Disadvantaged Youth