Big Ideas Algebra 1 Chapter 5
November – December (4 weeks); 1st Semester
Embedded Files
Chapter Title(s):
Solving Systems of Linear Equations (Chapter 5)
Prepared Graduates:
MP1. Make sense of problems and persevere in solving them.
MP2. Reason abstractly and quantitatively.
MP4. Model with mathematics.
MP5. Use appropriate tools strategically.
MP6. Attend to precision.
MP7. Look for and make use of structure.
Standard(s):
2. Algebra and Functions
The highlighted evidence outcomes are the priority for all students, serving as the essential concepts and skills. It is recommended that the remaining evidence outcomes listed be addressed as time allows, representing the full breadth of the curriculum.
Students Can (Evidence Outcomes):
HS.A-REI.C. Reasoning with Equations & Inequalities: Solve systems of equations.
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. (CCSS: HS.A-REI.C.5)
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. (CCSS: HS.A-REI.C.6)
HS.A-REI.D. Reasoning with Equations & Inequalities: Represent and solve equations and inequalities graphically.
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. (CCSS: HS.A-REI.D.12)
A star symbol (⭑) represents grade level expectations and evidence outcomes that make up a mathematical modeling standards category.
Additional Colorado Academic Standards Resources:
Please visit the complete 2020 Colorado Academic Standards for High School Mathematics to view the following:
Colorado Essential Skills and Mathematical Practices connections
Inquiry Questions
Coherence Connections
Prior Knowledge Connections:
Systems of linear equations (Grade 8)
Academic Vocabulary & Language Expectations:
System of linear equations, solution of a system of linear equations, linear inequality in two variables, solution of a linear inequality in two variables, graph of a linear inequality, system of linear inequalities, solution of a system of linear inequalities, graph of a system of linear inequalities
Assessments:
SAT Suite Educator Question Bank (Content Domain: Algebra)
Instructional Resources & Notes:
Big Ideas Algebra 1 Chapter 5
Additional Modeling Tasks
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