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Mathematics - Secondary Curriculum Secondary Mathematics I
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Strand: NUMBER AND QUANTITY - Quantities (N.Q)

Reason quantitatively and use units to solve problems. Working with quantities and the relationships between them provides grounding for work with expressions, equations, and functions (Standards N.Q.13).

Standard N.Q.2

Define appropriate quantities for the purpose of descriptive modeling.

  • Giving raises
    A small company wants to give raises to their 5 employees. They have $10,000 available to distribute. Imagine you are in charge of deciding how the raises should be determined.
  • 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.
  • Lesson Starter: Solving Math Problems with a Team
    Students will work in teams to solve mathematical problems; they listen to the reasoning of others and offer correction with supporting arguments; they modify their own arguments when corrected; they learn from mistakes and make repeated attempts at solving problems.
  • Module 1: Sequences - Student Edition (Math 1)
    The Mathematics Vision Project, Secondary Math One Module 1, Sequences is written as two intertwined learning cycles that begin by alternating from arithmetic sequence to geometric sequences, so students can compare and contrast features as they represent both types of sequences with tables, graphs, story contexts, diagrams, and equations.
  • Module 1: Sequences - Teacher Notes (Math 1)
    The Mathematics Vision Project, Secondary Math One Module 1 Teacher Notes, Sequences is written as two intertwined learning cycles that begin by alternating from arithmetic sequence to geometric sequences, so students can compare and contrast features as they represent both types of sequences with tables, graphs, story contexts, diagrams, and equations.
  • Module 4: Equations & Inequalities - Student Edition (Math 1)
    The Mathematics Vision Project, Secondary Math One Module 4, Equations and Inequalities, students use units in combinations to define new variables for use in modeling with equations and inequalities, and interpret expressions that are the result of combining units.
  • Module 4: Equations & Inequalities - Teacher Notes (Math 1)
    The Mathematics Vision Project, Secondary Math One Module 4 Teacher Notes, Equations and Inequalities, students use units in combinations to define new variables for use in modeling with equations and inequalities, and interpret expressions that are the result of combining units.
  • NUMBER & QUANTITY - Quantities (N.Q) - 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 - Quantities (N.Q).
  • Traffic Jam
    Last Sunday an accident caused a traffic jam 12 miles long on a straight stretch of a two lane freeway. How many vehicles do you think were in the traffic jam? Explain your thinking and show all calculations.
  • Weed killer
    The principal purpose of this Illustrative Mathematics task is to explore a real-world application problem with algebra, working with units and maintaining reasonable levels of accuracy throughout.


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.