MA 3134: Algebra, Functions, and Data Analysis

Subject Area

Credits 1

Years

Level

High School

The course offers students the opportunity to collect and analyze univariate and bivariate data using a variety of statistical and analytical tools. They will learn to use functional algebra and statistics, allowing for the possibility of standardizing and analyzing data through the use of mathematical models. Students will solve problems that require the formulation of linear, quadratic, exponential or logarithmic equations or a system of equations. They will also use transformational graphing and the regression capabilities of graphing calculators to find regression equations. The infusion of technology (graphing calculator and/or computer software) in this course will assist in modeling and investigating functions and data analysis.

Prerequisites

Algebra I Honors (MA 3220) or Algebra I (MA 3130)

Parent Docs

Algebra, Functions, and Data Analysis Parent Doc 2021-2022

Storyboard

Algebra, Functions, and Data Analysis 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	Conducting Experiments: A Statistical Mindset	Growing Pains: Linear and Quadratic	Taking off: Variation and Exponential Growth:	What are the Odds: Foundations of Probability
Focus of the Story	How are we sure that a study, statistics, or experiment is meaningful and valid? We begin by unpacking how to sample and collect data free of bias and error before determining how to best analyze and report the findings by conducting surveys and experiments in the classroom and community.	Which mathematical models can be utilized to describe and quantify the world? Next, we explore linear and quadratic models to construct meaning and significance to our world including sports, marketing, and the environment, to determine if interventions are required.	When exploring growth, what other models exist that can help better describe the world around us? We continue to explore growth through variation and exponential models that can be applied to many applications in science, finance, and everyday life.	How does one determine the odds of success or failure in the game of life? Lastly, students will study the science of determining the probability of different events and use their knowledge to develop their own carnival games.
Transfer Goals	Apply: Utilize effective strategies, processes, and tools to model new situations and/or real-world experiences.	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.	Explore: Make sense of the world mathematically by asking questions and making connections through inquiry
Learning Targets	I can collect, visualize, and analyze data free of bias and error I can apply the properties of the normal distribution to deepen my understanding of various real-world scenarios I can determine the line of best fit for a set of bivariate data, determine the goodness of fit, and make predictions.	I can graph and solve linear equations and functions I can model systems of equations and inequalities including applications of real world problems and linear programming I can graph, analyze, and solve quadratic functions including real-world applications	I can apply my understanding of direct and inverse variation to solve real-world problems. I can graph and solve exponential equations and functions including applications in science and finance. I can graph, convert, and analyze logarithmic functions by conceptually understanding logs as inverses of exponentials.	I can visualize and calculate the probabilities of events using tables, trees, and diagrams. I can calculate probabilities of events using the fundamental counting principle, permutations, and combinations. I can calculate the expected value of a variety of different events.

Algebra, Functions, and Data Analysis: Assessment Matrix
Title	Unit	Rich Tasks:	Learning Target
	Unit 1: Descriptive Statistics	Survey Task	I can collect, visualize, and analyze data free of bias and error
	Unit 2: Normal Distribution	Cereal Task	I can apply the properties of the normal distribution to deepen my understanding of various real-world scenarios
	Unit 3: Linear Regression	Linear Regression Research Project	I can determine the line of best fit for a set of bivariate data, determine the goodness of fit, and make predictions.
	Unit 4: Linear Functions	Writing Initials Task	I can graph and solve linear equations and functions
	Unit 5: Systems & Linear Programming	Linear Programming Project	I can model systems of equations and inequalities including applications of real-world problems and linear programming
	Unit 6: Quadratic Functions	Parametric Quadratics Quadratics Around the World	I can graph, analyze, and solve quadratic functions including real-world applications
	Unit 7: Variation	Mini-Poster Project	I can apply my understanding of direct and inverse variation to solve real-world problems.
	Unit 8: Exponential Functions	Half-Life Task Cars Task Investment Task	I can graph and solve exponential equations and functions including applications in science and finance.
	Unit 9: Logarithms	Logarithms Project	I can graph, convert, and analyze logarithmic functions by conceptually understanding logs as inverses of exponentials.
	Unit 10: Probability	The Seven Keys	I can visualize and calculate the probabilities of events using tables, trees, and diagrams
		Can you get a pair? Too many choices	I can calculate probabilities of events using the fundamental counting principle, permutations, and combinations.
		Probability Showcase	I can calculate the expected value of a variety of different events