### Utah Mathematics Core

#### Secondary Mathematics I

Students in Secondary Mathematics I will deepen and extend understanding of linear relationships, in part by contrasting them with exponential phenomenon, and in part by applying linear models to data that exhibit a linear trend. Students will use properties and theorems involving congruent figures to deepen and extend understanding of geometric knowledge. Algebraic and geometric ideas are tied together. Students will experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

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

#### Curriculum Guide

#### Unit 1 Relationships Between Quantities

Reason Quantitatively and Use Units to Solve Problems

Interpret the Structure of Expressions

Create Equations That Describe Numbers or Relationships

#### Unit 2 Linear and Exponential Relationships

Represent and Solve Equations and Inequalities Graphically

Understand the Concept of a Function and Use Function Notation

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

Interpret Expressions for Functions in Terms of the Situations They Model

#### Unit 3 Reasoning with Equations

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

Solve Equations and Inequalities in One Variable

#### Unit 4 Descriptive Statistics

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

Summarize, Represent, and Interpret Data on Two Categorical and Quantitative Variables

#### Unit 5 Congruence, Proof, and Constructions

Experiment with Transformations in The Plane

Understand Congruence in Terms of Rigid Motions

Understand Congruence in Terms of Rigid Motions (Honors)

#### Unit 6 Connecting Algebra and Geometry Through Coordinates

Use Coordinates to Prove Simple Geometric Theorems Algebraically

#### Honors

Represent and Model with Vector Quantities

Perform Operations on Matrices and Use Matrices in Applications

#### Resources