Utah Mathematics Core

Secondary Mathematics III

Students in Secondary Mathematics III will focus on pulling together and applying the accumulation of learning that they have from their previous courses.  They will apply methods from probability and statistics, expand their repertoire of functions to include polynomial, rational, and radical functions, they will expand their study of right triangle trigonometry and will bring together all of their experience with functions and geometry to create models and solve contextual problems. 

All Secondary III Core Curriculum should be included in the Secondary III Honors Curriculum.

Secondary III Core  

Unit 1 Inferences and Conclusions From Data

Summarize, Represent, and Interpret Data on a Single Count or Measurement Variable

Understand and Evaluate Random Processes Underlying Statistical Experiments

Make Inferences and Justify Conclusions from Sample Surveys, Experiments, and Observational Studies

Unit 2 Polynomial, Rational, and Radical Relationships

Use Complex Numbers in Polynomial Identities and Equations

Interpret the Structure of Expressions

Write Expressions in Equivalent Forms to Solve Problems

Perform Arithmetic Operations on Polynomials

Understand the Relationship Between Zeros and Factors of Polynomials

Use Polynomial Identities to Solve Problems

Rewrite Rational Expressions

Understanding Solving Equations as a Process of Reasoning and Explain the Reasoning

Represent and Solve Equations and Inequalities Graphically

Analyze Functions Using Different Representations

Unit 3 Trigonometry of General Triangles and Trigonometric Functions

Apply Trigonometry to General Triangles

Extend the Domain of Trigonometric Functions Using the Unit Circle

Model Periodic Phenomena with Trigonometric Functions

Unit 4 Mathematical Modeling

Create Equations that Describe Numbers or Relationships

Interpret Functions that Arise in Applications in Terms of a Context

Analyze Functions Using Different Representations

Build a Function that Models a Relationship Between Two Quantities

Build New Functions from Existing Functions

Construct and Compare Linear, Quadratic, and Exponential Models and Solve Problems

Visualize Relationship Between Two Dimensional and Three-Dimensional Objects

Apply Geometric Concepts in Modeling Situations