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EdQuillAcademy

Algebra 1 Curriculum

Foundation for Advanced Mathematics and Problem-Solving Skills

Our Algebra 1 curriculum introduces students to the fundamental concepts of algebra, developing critical thinking and problem-solving skills essential for success in higher mathematics and real-world applications.

Program Overview

Algebra 1 serves as the gateway to advanced mathematics, introducing students to variables, equations, functions, and mathematical modeling. The curriculum emphasizes conceptual understanding, problem-solving strategies, and real-world applications.

Students develop the analytical thinking and mathematical reasoning skills necessary for success in Geometry, Algebra 2, and beyond, while preparing for standardized tests and college-level mathematics.

Duration

32 weeks (full academic year)

Class Size

Maximum 8 students

Grade Level

Grades 8-9

Prerequisites

Pre-Algebra or equivalent

Algebra 1 interactive learning

Learning Objectives

By the end of this program, students will be able to demonstrate proficiency in fundamental algebraic concepts and problem-solving skills.

Solve linear equations and inequalities in one variable

Graph and analyze linear functions and their properties

Understand and apply the concept of functions

Solve systems of linear equations and inequalities

Work with polynomials and factoring techniques

Apply quadratic functions and equations

Use mathematical modeling to solve real-world problems

Develop strong problem-solving and analytical thinking

Prepare for Geometry and advanced mathematics

Curriculum Units

The curriculum is organized into focused units that build algebraic understanding systematically.

Unit 1: Foundations of Algebra
4 weeks
Variables and expressions
Order of operations
Properties of real numbers
Introduction to equations
Unit 2: Linear Equations and Inequalities
6 weeks
One-step and two-step equations
Multi-step equations
Linear inequalities
Absolute value equations
Unit 3: Linear Functions and Graphs
5 weeks
Function notation and evaluation
Slope and rate of change
Graphing linear equations
Writing equations from graphs
Unit 4: Systems of Equations and Inequalities
4 weeks
Solving systems by substitution
Solving systems by elimination
Graphing systems of inequalities
Applications of systems
Unit 5: Exponents and Polynomials
4 weeks
Properties of exponents
Polynomial operations
Factoring techniques
Solving polynomial equations
Unit 6: Quadratic Functions
5 weeks
Quadratic equations and graphs
Completing the square
The quadratic formula
Applications of quadratics
Unit 7: Radicals and Rational Expressions
3 weeks
Simplifying radicals
Operations with radicals
Rational expressions
Solving radical equations
Unit 8: Data Analysis and Mathematical Modeling
1 week
Scatter plots and correlation
Linear regression
Mathematical modeling
Real-world applications

Assessment and Progress Tracking

We use multiple assessment methods to ensure students are mastering algebraic concepts and developing strong problem-solving skills.

Weekly Quizzes

Regular assessments of current topics and skills.

Unit Tests

Comprehensive assessments at the end of each unit.

Final Exam

Cumulative assessment of all algebraic concepts.

Teaching Methodology

Our instruction combines direct teaching, guided practice, collaborative problem-solving, and technology integration. Students learn through exploration, discovery, and real-world applications.

Key Instructional Strategies:

  • Interactive problem-solving and group work
  • Technology-enhanced graphing and modeling
  • Real-world applications and problem-solving
  • Differentiated instruction for various skill levels
  • Regular feedback and progress monitoring
Algebra 1 students working together

Success Metrics

Our Algebra 1 program has consistently demonstrated strong outcomes in student achievement and preparation for advanced mathematics.

93%

Pass rate for Algebra 1 students

90%

Advance to Geometry

88%

Report increased math confidence

87%

Score above average on standardized tests

Ready to Master Algebra 1?

Join our Algebra 1 program and build the strong foundation needed for advanced mathematics. Contact us today to schedule a free assessment and learn more about our curriculum.