Big Ideas Algebra 1 Chapters 1-2
August – September (5 weeks); 1st Semester
Embedded Files
Chapter Title(s):
Solving Linear Equations (Chapter 1)
Solving Linear Inequalities (Chapter 2)
Prepared Graduates:
MP2. Reason abstractly and quantitatively.
MP4. Model with mathematics.
MP5. Use appropriate tools strategically.
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):
Big Ideas Algebra 1 Chapters 1-2 focuses on units, equations, and inequalities. Consult Algebra 1 Families of Functions for additional evidence outcomes that apply to units, equations, and inequalities.
HS.A-CED.A. Creating Equations: Create equations that describe numbers or relationships.⭑
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R. (CCSS: HS.A-CED.A.4)
HS.A-REI.B. Reasoning with Equations & Inequalities: Solve equations and inequalities in one variable.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. (CCSS: HS.A-REI.B.3)
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:
Solving linear equations in one variable (Grade 8)
Academic Vocabulary & Language Expectations:
Equation, linear equation in one variable, solution, equivalent equations, ratio, proportion, rate, identity, absolute value equation, extraneous solution, literal equation, formula, inequality, solution of an inequality, solution set, graph of an inequality, equivalent inequalities
Assessments:
SAT Suite Educator Question Bank (Content Domains: Algebra, Problem-Solving and Data Analysis)
Instructional Resources & Notes:
Big Ideas Algebra 1 Chapters 1-2 (skip Lessons 1.4, 2.5, 2.6)
Additional Modeling Tasks
Notes:
Most of Chapters 1-2 review prior knowledge from 7th Grade and 8th Grade. Spend more time on the new concepts in Lessons 1.6 (Solving Absolute Value Equations), 1.7 (Rewriting Equations and Formulas), and 2.4 (Solving Multi-Step Inequalities). Chapters 1-2 should be assessed together.
Accelerated Algebra 1:
Accelerated Algebra 1 students can extend their learning beyond the Colorado Academic Standards with the following concepts and lessons:
Lesson 2.5: Solving Compound Inequalities
Lesson 2.6: Solving Absolute Value Inequalities
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