Picture of Math 1 Student Learning with Algebra Tiles

Math 1 Course Description

  • Math 1 is the first math course in the North Carolina High School Math Graduation Requirement Sequence.  Math 1 students study linear, exponential, and quadratic functions.  They also learn to prove a figure is a specific type of a triangle or quadrilateral through the understanding of parallel and perpendicular lines, midpoint and distance . Math 1 students continue work from middle school on statistics, describing univariate and bivariate data distributions.  At the end of the course, students take the Math 1 End-of-Course Exam.

     

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    Unit 1 - Sequences

    Students build multiple representations of arithmetic and geometric sequences that include:  tables, graphs, verbal and pictorial descriptions, recursive equations, and explicit equations.  They use the representations to solve problems.

               Unit 1 Tasks            Unit 1 Homework

     

    Unit 2 - Linear and Exponential Functions

    Students build, compare, and interpret linear and exponential functions from multiple representations.  They use the representations to solve problems.

                 Unit 2 Tasks            Unit 2 Homework

     

    Unit 3 - Features of Functions

    Students interpret key features of functions from multiple representations including: intercepts; intervals where the function is increasing, decreasing, positive, or negative; and maximums and minimums.  Students evaluate functions.

                 Unit 3 Tasks            Unit 3 Homework

     

    Unit 4 - Equations and Inequalities

    Students build and solve one variable equations and inequalities.   Students solve literal equations.

                 Unit 4 Tasks            Unit 4 Homework 

     

    Unit 5 - Connecting Algebra and Geometry

    Students develop and apply strategies to find midpoint and distance.  Students develop and apply criteria for parallel and perpendicular lines.  They use coordinates to algebraically prove geometric theorems.

                 Unit 5 Tasks            Unit 5 Homework

     

    Unit 6 - Systems of Equations and Inequalities

    Students write, graph, and solve systems of equations and inequalities.

                Unit 6 Tasks            Unit 6 Homework

     

    Unit 7 - Combining Linear Functions

    Students combine linear functions with arithmetic operations to introduce a new function.  They explore key features of quadratic functions in factored form.

                Unit 7 Tasks            Unit 7 Homework

     

    Unit 8 - Quadratic Functions

    Students combine constant, linear, and quadratic terms to create a new form of a quadratic function.  They build fluency in building, identifying key features, and analyzing quadratic functions in both factored and standard form.  Students solve quadratic equations by factoring, taking square roots, and examining the graph of the corresponding function.

               Unit 8 Tasks            Unit 8 Homework

     

    Unit 9 - Modeling Data

    Students describe univariate data distributions and compare two or more data sets. Students develop an understanding of and estimate correlation. They use linear models of data to make predictions.  Students interpret the slope and intercepts of linear models. They also use residual plots to analyze the appropriateness of a linear model for data.

               Unit 9 Tasks            Unit 9 Homework

     

  • Student Math Practices

    Practice 1: Make sense of problems and persevere in solving them.
    Practice 2: Reason abstractly and quantitatively.
    Practice 3: Construct viable arguments and critique the reasoning of others.
    Practice 4: Model with mathematics.
    Practice 5: Use appropriate tools strategically.
    Practice 6: Attend to precision.
    Practice 7: Look for and make use of structure.
    Practice 8: Look for and express regularity in repeated reasoning.