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Mathematics - Secondary Curriculum Secondary Mathematics I
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Strand: ALGEBRA - Creating Equations (A.CED)

Create equations that describe numbers or relationships. Limit these to linear equations and inequalities, and exponential equations. In the case of exponential equations, limit to situations requiring evaluation of exponential functions at integer inputs (Standards A.CED.14).

Standard A.CED.1

Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and simple exponential functions.

  • ALGEBRA - Creating Equations (A.CED) - 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 - Creating Equations (A.CED).
  • Applications of Quadratic 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.
  • Basketball
    This task provides a simple but interesting and realistic context in which students are led to set up a rational equation (and a rational inequality) in one variable, and then solve that equation/inequality for an unknown variable.
  • Harvesting the Fields
    This is a challenging Illustrative Mathematics task, suitable for extended work, and reaching into a deep understanding of units. The task requires students to exhibit MP1, Make sense of problems and persevere in solving them.
  • 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.
  • Perpendicular Lines video
    This video introduces and explains perpendicular lines.
  • Point Slope Form and Standard Form of Linear Equations
    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.
  • Point Slope Form and Standard Form of Linear Equations video
    This a video explanation of the topic.
  • Proportional 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.
  • Proportional Functions video
    This video introduces proportional functions.
  • Solving Linear Inequalities
    Students are helped to understand how to solve inequalities in this tutorial. Simple and more advanced problems are provided for practice.
  • Student Task: Best Buy Tickets
    Susie is organizing the printing of tickets for a show. She has collected prices from several printers. The student's task is to use graphs and algebra to advise Susie on how to choose the best printer.
  • Student Task: Printing Tickets
    Susie is organizing the printing of tickets for a show. She has collected prices from several printers. The student's task is to use graphs and algebra to advise Susie on how to choose the best printer.
  • Student Task: Skeleton Tower
    In this task, students must work out a rule for calculating the total number of cubes needed to build towers of different heights.
  • Translating Word Problems into Equations
    Seven steps are presented on this site showing the student how to translate word problems into a solvable equation.
  • Writing and Using Inequalities
    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.
  • Writing and Using Inequalities video
    This video introduces and explains the topic.
  • Writing Expressions and Equations video
    How to write an equation using what we know to solve a problem we don't know.


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.