Emily TYWLS of Astoria
Algebra 1: Units of Study
This self-paced unit will allow students to review and expand upon their ability to solve both equations and inequalities. At the end of this unit students will be able to solve equations and inequalities that include multiple steps, decimals, fractions, and literal equations. Students will also be able to translate situations into one variable equations and inequalities.
Outcomes:
3. Be Precise in solving equations and/or Inequalities.
4. Attend to Precision.
5. Write and interpret algebraic expressions, equations, or inequalities.
Unit Documents:
Throughout the course of this unit students will review how to translate freely between multiple representations of linear functions (graph, table, equation, and words). Students will also expand upon their knowledge in Unit 1 to translate situations into two variable equations and inequalities. They will then be able to identify solutions using multiple different methods (ie: substitution, elimination, table, graph).
Outcomes:
2. Argue a solution to a system of equations or inequalities.
4. Attend to Precision.
5. Write and interpret algebraic expressions, equations, or inequalities.
8. Construct and compare multiple representations of relationships.
Unit Documents:
In this unit we will use patters to explore the relationship between arithmetic and geometric sequences. We will then look closely at exponential functions, how they grow, and real world situations where they occur.
Outcomes:
4. Attend to Precision.
5. Write and interpret algebraic expressions, equations, or inequalities.
6. Identify and compare relationships and their characteristics.
8. Construct and compare multiple representations of relationships.
Unit Doctuments:
Explore our last function family, quadratics. We will explore their properties and key characteristics both graphically and algabraically. Specifically we will discover how to use the quadratic formula to find roots.
Outcomes:
2. Argue a solution to a system of equations.
3. Be precise in solving equations and/or inequalities.
4. Attend to Precision.
6. Identify and compare relationships and their characteristics.
7. Define functions and their characteristics.
8. Construct and compare multiple representations of relationships.
Unit Doctuments:
This is our second self-paced unit of the year. It will be seperated into three differnt parts. In Part 1, students will learn how to perform opperations on polynomials (addition, subtraction, and multiplication only). In Part 2, students will learn how to factor polynomials and in Part 3 students will learn how to apply all of these skills to solve polynomials either by factoring or completing the square. Students will also be expected to apply these skills to answer area and perimeter problems.
Outcomes:
3. Be precise in solving equations and/or inequalities.
4. Attend to Precision.
5. Write and interpret algebraic expressions, equations, or inequalities.
9. Create equivalent polynomial expressions.
Unit Doctuments: