Big Ideas Algebra 2 Chapter 7
February (3 weeks); 2nd Semester
Embedded Files
Chapter Title(s):
Rational Functions (Chapter 7)
Prepared Graduates:
MP1. Make sense of problems and persevere in solving them.
MP2. Reason abstractly and quantitatively.
MP3. Construct viable arguments and critique the reasoning of others.
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):
HS.A-APR.D. Arithmetic with Polynomials & Rational Expressions: Rewrite rational expressions.
Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x) where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system. (CCSS: HS.A-APR.D.6)
HS.A-REI.A. Reasoning with Equations & Inequalities: Understand solving equations as a process of reasoning and explain the reasoning.
Solve simple rational equations in one variable, and give examples showing how extraneous solutions may arise. (CCSS: HS.A-REI.A.2)
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:
(None)
Academic Vocabulary & Language Expectations:
Direct variation, constant of variation, inverse variation, rational function, rational expression, simplified form, rational equation
Assessments:
SAT Suite Educator Question Bank (Content Domain: Advanced Math)
Instructional Resources & Notes:
Big Ideas Algebra 2 Chapter 7 (skip Lesson 7.4)
Notes:
In Lesson 7.3 (Multiplying and Dividing Rational Expressions), focus on simplifying rational expressions and multiplying rational expressions only.
Students do not need to solve complex rational equations involving addition and subtraction. Be selective when choosing exercises for Lesson 7.5 (Solving Rational Equations).
Honors Algebra 2:
Honors Algebra 2 students can extend their learning beyond the Colorado Academic Standards with the following concepts and lessons:
Lesson 7.3: Multiplying and Dividing Rational Expressions (dividing rational expressions)
Lesson 7.4: Adding and Subtracting Rational Expressions
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