Mathematics I

Duration

10 Months

Prerequisites

None

Requirements

None

Course Summary

Mathematics I emphasizes problem-solving and logical reasoning through linear relationships. You'll learn to graph and solve linear equations, apply function notation, and explore geometry, coordinate geometry, and geometric constructions. The course covers systems of equations, exponential relationships, data analysis, and transformations of polygons.

MAJOR TOPICS AND CONCEPTS

  • Solve linear equations and inequalities in one variable. 

  • Apply function notation to describe relationships between quantities, and interpret function notation to solve problems.  

  • Interpret and create graphs of linear relationships.  

  • Write one-variable and two-variable linear equations, and use them to solve problems.  

  • Describe transformations defined by changes in the slope or the y-intercept of linear functions.  Prove geometric theorems using a variety of proof methods. 

  • Complete geometric constructions using a variety of tools.  

  • Find the distance between points, slopes of lines, and midpoints of line segments.  

  • Apply coordinate geometry to calculate perimeter and area of polygons.

  • Write systems of equations and inequalities, and solve them using algebraic and graphical methods.  

  • Graph exponential functions, and identify their key features. 

  • Write and apply exponential functions to model situations in the real world.  

  • Compare functions that are represented in different ways.  

  • Use functions to represent sequences. 

  • Represent univariate data with dot plots, box plots, and histograms.  

  • Represent bivariate data with tables and scatter plots.  

  • Analyze, interpret, and justify conclusions from a set of data.  Describe congruence in terms of rigid motions.

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