# Algebra

Students will use a discovery approach to learn about the different families of functions. They will look for patterns between multiple function representations and use those patterns to identify key characteristics of linear, quadratic, absolute value, exponential, and rational functions. Students will identify function patterns in equations, tables, and graphs.

This is a unit from Algebra 1 that is a intended for use in a blended learning environment. Lessons are primarily through video and practice would have access to small group or individual instruction. The focus is on solving 1 step equations, two step equeations, and multi-step equations.

This unit is designed for students in the 6-8th grade range who are encountering algebra for the first time. The content of this unit will produce students that are comfortable reading and writing algebraic expressions and equations, performing basic integer operations and finally, putting it all together to solve one-step algebraic equations.

Students have mastered solving equations and looking at solutions graphically. This unit is an extension and will have students investigate how to find to two equations. This unit will utilize investigate and exploration, with some direct instruction, to solidify the process and procedures to finding and identifying solutions to systems.

This is a unit that formalizes the definition of functions. Students will connect the idea of mathematical relationships to the concept of functions. With a mix of direct instruction, guided notes with procedural practice, and individual practice, this unit will ground students in the concept and provide a deep understanding of its usefulness.

In this chapter, students will learn to add, subtract, multiply, and divide polynomials using a couple of different methods. Students will also learn how to factor binomials (standard and special products) and trinomials and solve quadratic equations by completing the square.

My blended unit planning document title is called, "Equations and Inequalities." I will start chapter one by reviewing what they have learned from the last section or prior knowledge in this case. I will then have students take notes using Gist Notes. I have included the website below. Then students will work on an assignment from Khan Academy.

**Learning what polynomials are, how to add, subtract and multiply them.**

Students will be able to solve a system of equations using substitution, elimination and graphing techniques. Primary focus is on linear systems with two variables. Exploration is on systems involving quadratics, linears and circles with graphing.

This lesson examines the process of completing the square as a method of solving quadratic equations.