MA 3130: Algebra I

Subject Area

Credits 1

Years

Level

High School

Algebra I is designed to help students understand the basic structure of algebra and acquire proficiency in applying algebraic concepts and skills in authentic situations. The course focuses on the development of problem-solving skills and the acquisition of mathematical vocabulary and symbols. The active engagement of students along with the use of manipulatives and technology, such as the Desmos calculator, computers, and spreadsheets, will allow students to develop an understanding of the mathematical principles they are learning. Facility in the use of technology will not be a substitute for students' understanding of quantitative concepts and proficiency in computations. Students will engage in mathematical discourse with the teacher and other students. Students cannot receive credit for both Algebra I (MA3130) and Algebra I Honors (MA 3220).

Prerequisite Courses

MA 3124: Mathematics 8

Parent Docs

Algebra I Parent Doc 2021-2022

Storyboard

Essential Questions: How do I become a mathematical problem solver to better understand the world around me? In what ways can I communicate and represent my mathematical thinking?
Title	Balancing Act: Exploring Equality	Representing Change: Linear Functions	Utilizing the Tools of the Trade: Non-Linear Operations	Taking the Plunge: Quadratic Applications
Focus of the Story	How do we quantify the world mathematically? We start our story by exploring the concepts of equality to model the real world and make predictions.	How can we represent a world that is always evolving and changing? Next, we deepen our understanding of the real world by modeling linear functions and inequalities including investigating the motion of vehicles.	What tools must be discovered to better interpret our world? To further expand our understanding of the real world, we explore applications of non-linear models.	What new phenomena can be explored utilizing our newly acquired tools? Lastly, we develop a deeper understanding of our world by exploring practical applications of quadratic functions including investigating roller coasters.
Transfer Goals	Explore: Make sense of the world mathematically by asking questions and making connections through inquiry.	Explain: Communicate mathematical thinking by justifying solutions using multiple representations while attending to precision.	Analyze: Investigate, formulate, and construct viable arguments by taking risks, persevering, and thinking flexibly.	Apply: Utilize effective strategies, processes, and tools to model new situations and/or real-world experiences.
Learning Targets	I can quantify the real world through translating and evaluating real-world problems. I can solve one-variable equations including practical problems. I can solve and graph inequalities including practical problems.	I can analyze and interpret the characteristics of linear functions. I can write and model the equation of line or inequality from a variety of representations. I can solve systems of linear equations or inequalities algebraically and graphically	I can simplify expressions using the different laws of exponents. I can simplify expressions containing square and cube roots. I can factor and perform operations on polynomial expressions.	I can solve quadratic equations algebraically by factoring, taking square roots, or using the quadratic formula. I can graph and analyze quadratic equations and identify key characteristics. I can model data to analyze real-world situations.

Algebra I: Assessment Matrix
Title	Unit	Rich Tasks:	Learning Target
	Unit 1 Solving Equations	Shopping Translations	I can quantify the real world through translating and evaluating real-world problems.
	Unit 1 Solving Equations	Meal Out Seesaw Fun Games for Sale	I can solve one-variable equations including practical problems.
	Unit 2 Solving Inequalities in One Variable	Games for Sale Movie Projector Project	I can solve and graph inequalities including practical problems.
	Unit 3: Functions	Fuel efficiency Flight Path	I can analyze and interpret the characteristics of linear functions.
	Unit 4: Graphing/Writing Equations of Lines	Bicycle Savings Company Logo	I can write and model the equation of line or inequality from a variety of representations.
	Unit 5: Systems of Equations and Inequalities	Radical Rocks Trampoline Park Road Trip Full Parking Lot	I can solve systems of linear equations or inequalities algebraically and graphically
	Unit 6: Laws of Exponents and Radicals	Create an Expression	I can simplify expressions using the different laws of exponents
	Unit 6: Laws of Exponents and Radicals	Where on the number line	I can simplify expressions containing square and cube roots.
	Unit 7: Polynomial Operations and Factoring	Flower Garden Two-Faced	I can factor and perform operations on polynomial expressions.
	Unit 8: Graphing Quadratic Functions and Solving Quadratic Equations	T-Shirt Cannon	I can solve quadratic equations algebraically by factoring, taking square roots, or using the quadratic formula.
		Soccer Competition How high can I throw`?	I can graph and analyze quadratic equations and identify key characteristics.
		Playing Basketball Tuition Cost	I can model data to analyze real-world situations.