 Secondary Mathematics I

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.1-4).
• 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).
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.
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.
• Common Math Formulas
A list of common mathematics formulas.
• Compound Interest Simulator
This applet will allow students to investigate savings account earnings, credit card debt, and a stock market simulation.
• Graphing Equations in Slope Intercept Form
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.
• Graphing Equations in Slope Intercept Form Video
This is a video introduction to the topic.
• Graphing Equations on the Cartesian Plane: Slope
This lesson plan is designed to teach students about the slope of lines. They are asked to determine the slope given a graph and given 2 points on the line, and compare the slopes of parallel and perpendicular lines.
This video introduces and explains the topic.
• 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.
• Inscribing and Circumscribing Right Triangles
This lesson unit is intended to help educators assess how well students are able to use geometric properties to solve problems.
• Intercepts 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.
• Intercepts of Linear Equations video
This video introduces the topic.
• 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 Equations in One Variable
This tutorial is designed to help students understand how to solve linear equations by using the addition, subtraction, multiplication and division properties of equalities.
• 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 2: Linear & Exponential Functions - Student Edition (Math 1)
The Mathematics Vision Project, Secondary Math One Module 2, Linear and Exponential Functions, begins with a learning cycle that introduces contexts with continuous domains and defining linear functions as having a constant rate of change and exponential functions as having a constant ratio over equal intervals.
• Module 2: Linear & Exponential Functions - Teacher Notes (Math 1)
Mathematics Vision Project, Secondary Math One Module 2 Teacher Notes, Linear and Exponential Functions, begins with a learning cycle that introduces contexts with continuous domains and defining linear functions as having a constant rate of change and exponential functions as having a constant ratio over equal intervals.
• 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.
• 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.
• Module 5: Systems of Equations & Inequalities - Student Edition (Math 1)
The Mathematics Vision Project, Secondary Math One Module 5, Systems of Equations and Inequalities, has two learning cycles, built around a common story context that is used throughout the module. The first learning cycle begins by making the representations, tables, graphs, equations, and diagrams, needed for the rest of the module available.
• Module 5: Systems of Equations & Inequalities - Teacher Notes (Math 1)
The Mathematics Vision Project, Secondary Math One Module 5 Teacher Notes, Systems of Equations and Inequalities, has two learning cycles, built around a common story context that is used throughout the module. The first learning cycle begins by making the representations, tables, graphs, equations, and diagrams, needed for the rest of the module available.
• Non-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.
• Parallel Lines
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.
• Parallel Lines video
This video explains the concept.
• Perpendicular Lines
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.
• 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.
• Polynomials
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.
• Polynomials video
This video introduces and explains 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.
• Secondary I Textbook
Secondary I Textbook is composed of modules that are aligned with the Utah Core State Standards for Mathematics. Each lesson begins with a worthwhile task that has been designed to develop mathematical understanding, solidify that understanding, or allow for practice of the new concepts, while focusing on the mathematical goals of the chosen learning cycle.
• Solving for a Specific Variable video
This is an introductory video to formulas.
• Solving Linear Equations in Two Variables
This lesson unit is intended to help educators assess how well students are able to formulate and solve problems using algebra.
• Solving Linear Inequalities
Students are helped to understand how to solve inequalities in this tutorial. Simple and more advanced problems are provided for practice.
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.
This task students to design a stairway for a custom home. They will need to gather information regarding design, safety, and the utility of staircases.
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.
Fearless Frames Inc makes metal frames for containers. The student's task is to find the maximum volume of prism-shaped frame that can be made with a limited supply of metal.
The student is given a set of points on a graph. The task is to find one linear fuction and one quadratic function which, between them, pass through all the points.
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.
In this task, the student will investigate Pythagorean Triples.
In this task, students must work out a rule for calculating the total number of cubes needed to build towers of different heights.
In this task students determine how many different triangles can be made that follow a set of rules.
• 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. 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.