**Course Description:**

The main objective of Algebra-1 is to provide the students with a strong background for all mathematical courses ahead. The basics of algebraic problem-solving are systematically taught. The students will gain a good grasp of the following topics: Basics of Algebra, equations, inequalities, functions at introductory level, linear functions, quadratic functions, equation and inequality systems, exponential functions, polynomials with factoring, radical expressions and equations, and data analysis and probability. Common Core State Standards will be taught and reinforced as the students learn how to practice these concepts in real-life situations. This course prepares students to take Honors Algebra-1, 2 and other upper level related courses.

**Prerequisites:**

Pre Algebra or 8th Grade Math, or placement test.

**Common Core Standards Covered in this course:**

NRN.1, NRN.2, NRN.3, NQ.1, NQ.2, NQ.3, NCN.1, NCN.2, NCN.3, NCN.4, NCN.5, NCN.6, NCN.7, NCN.8, NCN.9, ASSE.1, ASSE.1a, ASSE.1b, ASSE.2, ASSE.3, ASSE.3a, ASSE.3b, ASSE.3c, ASSE.4, AAPR.1, AAPR.2, AAPR.3, AAPR.4, AAPR.5, AAPR.6, AAPR.7, ACED.1, ACED.2, ACED.3, ACED.4, AREI.1, AREI.2, AREI.3, AREI.4, AREI.4a, AREI.4b, AREI.5, AREI.6, AREI.7, AREI.8, AREI.9, AREI.10, AREI.11, AREI.12, F.IF.1, F.IF.2, F.IF.3, F.IF.4, F.IF.5, F.IF.6, F.IF.7, F.IF.7a, F.IF.7b, F.IF.7c, F.IF.7d, F.IF.7e, F.IF.8, F.IF.8a, F.IF.8b, F.IF.9, F.BF.1, F.BF.1a, F.BF.1b, F.BF.1c, F.BF.2, F.BF.3, F.BF.4, F.BF.4a, F.BF.4b, F.BF.4c, F.BF.4d, F.BF.5, F.LE.1, F.LE.1a, F.LE.1b, F.LE.1c, F.LE.2, F.LE.3, F.LE.4, F.LE.5, S.ID.1, S.ID.2, S.ID.3, S.ID.4, S.ID.5, S.ID.6, S.ID.6a, S.ID.6b, S.ID.6c, S.ID.7, S.ID.8, S.ID.9

**Textbook:**

Mathematics Enhancement Programme

Additional Problem Sets by Problem-Attic.

**Course Outcomes:**

After completing, students will be able to:

- Write expressions and evaluate them with unknown values,
- Use properties to simplify expressions,
- Identify and differentiate the types of relationships that can be represented by proportions.
- Use inverse operations to simplify and find equivalent equations,
- Solve equations using mathematical operations and equality properties,
- Write and plot inequalities,
- Model real-world situations using functions.
- Model and analyze real-world situations using a system of equations or inequalities,
- Simplify expressions by applying properties of exponents,
- Explore the characteristics of exponential functions,
- Explore polynomials through adding, subtracting, multiplying and factoring, and apply real number properties to manipulate polynomial expressions,
- Plot and identify characteristics of quadratic functions,
- Plot and simplify rational expressions,
- Figure out different strategies to find solutions for quadratic equations,
- Add, subtract, multiply and divide using radicals and learn how to rationalize the denominator of a radical expression,
- Multiply and divide rational expressions and divide polynomials,
- Interpret data in a real-world terms,
- Analyze data with multiple approaches.

**Topics Covered In This Course:**

- Review of Pre-Algebra
- Solving Equations
- Solving Inequalities
- Introduction to Functions
- Linear Functions
- Systems of Equations and Inequalities
- Polynomial and Factoring
- Quadratic Functions and Equations
- Radical Expressions and Equations
- Rational Expressions and Functions
- Data Analysis and Probability