Skip Navigation

Utah Core  •  Curriculum Search  •  All Mathematics - Secondary Lesson Plans  •  USBE Mathematics - Secondary website

Mathematics - Secondary Curriculum Secondary Mathematics I
Educational Links

Strand: ALGEBRA - Reasoning With Equations and Inequalities (A.REI)

Understand solving equations as a process of reasoning and explain the reasoning (Standard A.REI.1). Solve equations and inequalities in one variable (Standard A.REI.3). Solve systems of equations. Build on student experiences graphing and solving systems of linear equations from middle school. Include cases where the two equations describe the same line - yielding infinitely many solutions - and cases where two equations describe parallel lines - yielding no solution; connect to GPE.5, which requires students to prove the slope criteria for parallel lines (Standards A.REI.5-6). Represent and solve equations and inequalities graphically (Standards A.REI.10-12).

Standard A.REI.11

Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear and exponential functions.

  • ALGEBRA - Reasoning With Equations and Inequalities (A.REI) - Sec Math I Core Guide
    The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for the Secondary Mathematics I - Reasoning with Equations and Inequalities (A.REI).
  • Ideal Gas Law
    The goal of this task is to interpret the graph of a rational function and use the graph to approximate when the function takes a given value.
  • Introduction to the Materials (Math 1)
    Introduction to the Materials in the Mathematics One of the The MVP classroom experience begins by confronting students with an engaging task and then invites them to grapple with solving it. As students ideas emerge, take form, and are shared, the teacher orchestrates the student discussions and explorations towards a focused mathematical goal. As conjectures are made and explored, they evolve into mathematical concepts that the community of learners begins to embrace as effective strategies for analyzing and solving problems.
  • Linear Functions
    This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
  • Linear Functions video
    This video compares proportional and non-proportional linear functions.
  • Module 3: Features of Functions - Student Edition (Math 1)
    The Mathematics Vision Project, Secondary Math One Module 3, Features of Functions, is the culminating functions module in Secondary Math I. In this module, students broaden their thinking about functions to relationships that are not either linear or exponential.
  • Module 3: Features of Functions - Teacher Notes (Math 1)
    The Mathematics Vision Project, Secondary Math One Module 3 Teacher Notes, Features of Functions, is the culminating functions module in Secondary Math I. In this module, students broaden their thinking about functions to relationships that are not either linear or exponential.
  • Perpendicular Lines video
    This video introduces and explains perpendicular lines.
  • Population and Food Supply
    In this task students construct and compare linear and exponential functions and find where the two functions intersect.
  • Representing Inequalities Graphically
    This lesson unit is intended to help educators assess how well students are able to use linear inequalities to create a set of solutions.
  • Solving Rational Expressions video
    This video introduces and explains the topic.
  • Solving Systems of Equations by Graphing
    This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
  • Solving Systems of Linear Equations by Graphing
    This is a video introduction and explanation of the topic.
  • Student Task: Cubic Graph
    In this task, students will look at the properties of a cubic equation.
  • Two Squares are Equal
    This classroom task is meant to elicit a variety of different methods of solving a quadratic equation.


UEN logo http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey  Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.