 Highline Public Schools
15675 Ambaum Blvd. SW Burien, WA 98166

## Office Hours:

Monday-Friday: 7:30 a.m. - 4:30 p.m.

Highline Public Schools
15675 Ambaum Blvd. SW Burien, WA 98166

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# MT3500: Algebra 1

## Course Description

Linears and exponentials and quadratics! Oh my! It's all about functions in Algebra 1. Students deepen and extend their understanding of linear and exponential functions by contrasting them with each other- as well as with absolute and quadratic functions. In their work with functions- students operate with integers- rational- and irrational numbers. They evaluate expressions- simplify- multiply- and factor polynomials- as well as apply what they've learned to model real-world situations.

## Essential Standards

• Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. (CCSS.Math.Content.HSA-CED.A.3)
• Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. (CCSS.Math.Content.HSA-REI.A.1)
• Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. (CCSS.Math.Content.HSA-REI.B.3)
• Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. (CCSS.Math.Content.HSA-REI.C.6)
• Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. (CCSS.Math.Content.HSA-REI.D.12)
• Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. (CCSS.Math.Content.HSA-SSE.B.3)
• Write a function that describes a relationship between two quantities. (CCSS.Math.Content.HSF-BF.A.1)
• Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. (CCSS.Math.Content.HSF-IF.A.2)
• For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. (CCSS.Math.Content.HSF-IF.B.4)
• Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. (CCSS.Math.Content.HSF-IF.B.5)
• Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. (CCSS.Math.Content.HSF-IF.C.7)
• Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). (CCSS.Math.Content.HSF-IF.C.9)
• Distinguish between situations that can be modeled with linear functions and with exponential functions. (CCSS.Math.Content.HSF-LE.A.1)
• Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). (CCSS.Math.Content.HSS-ID.A.3)
• Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. (CCSS.Math.Content.HSS-ID.B.6)
• Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. (CCSS.Math.Content.HSS-ID.C.7)