### Secondary Mathematics I 7080000090 UT

Secondary Mathematics I is a full-year mathematics course intended for high school students who have successfully completed general mathematics for grade 8 or pre-algebra. This course focuses on complex operations of integers and variables while incorporating algebraic techniques and methods in order to develop student understanding of mathematical expressions, and concepts involving linear and exponential functions. Secondary Mathematics I also integrates statistical theory with computational practices as well as to include coordinate geometry and geometric concepts, theorems and skills. Students are exposed to several branches of mathematics and will explore ways in which each one can be used as a mathematical model in understanding the world.

By the end of the course, students will be expected to do the following:

• Simplify and evaluate algebraic expressions involving integers, rational exponents, and variables.

• Understand linear functions, inequalities, and their applications.

• Create arithmetic and geometric sequences as well as to be able to predict the nth term.

• Solve single and multi-variable equations.

• Solve algebraic word problems involving mixtures, money, integers, and work.

• Solve systems of equations with graphing and substitution.

• Evaluate, graph and solve exponential equations.

• Know how to use function notation and operations on linear, quadratic, and exponential functions.

• Calculate data analysis including measures of central tendency and dispersion.

• Display and interpret data represented in scatter plots and two-way frequency tables.

• Define and apply geometric concepts such as line, point and plane.

• Perform geometric constructions and proofs.

• Prove and apply theorems of triangle congruence.

• Combine prior linear concepts with geometric properties in order to evaluate and predict transformations of 2D geometric shapes in a coordinate system.

• Determine the area or perimeter of a two-dimensional figure represented on the coordinate plane.

The course seeks to help students expand their knowledge and skills so that they may achieve the following goals:

• Gain an increased awareness of math as a life skill.

• Understand how math is like a language, with a set of conventions.

• Realize that while mathematical models are useful in studying the world, they have limits

In attaining these goals, students will begin to see the "big picture" of mathematics and understand how numeric, algebraic, and geometric concepts are woven together to build a foundation for higher mathematical thinking.

State: Utah