Secondary Mathematics I
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)
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
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).
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.
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.
Rate Problems video
This video introduces the explains the topic.
Solving Rational Expressions video
This video introduces and explains the topic.
Solving Systems of Linear Equations by Elimination video
This video introduces and explains the concept.
Solving Two Equations in Two Unknowns
The goal of this task is to help students see the validity of the elimination method for solving systems of two equations in two unknowns.
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