LEARN NC

K–12 teaching and learning · from the UNC School of Education

Algebra 2

Goal 2, Objective 2.05

Goal 2

Algebra - The learner will use relations and functions to solve problems.

Objective 2.05

Use rational equations to model and solve problems; justify results.

  • Solve using tables, graphs, and algebraic properties.
  • Interpret the constants and coefficients in the context of the problem.
  • Identify the asymptotes and intercepts graphically and algebraically.

Resources aligned to this objective

Records 1–8 of 8 displayed.

Lesson plans on the web

Analyzing the data
In this lesson, one of a multi-part unit from Illuminations, students explore the development of a mathematical model for the decay of light passing through water, in a rich exploration of exponential models in context. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Graphical analysis
In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Light it up
In this Illuminations lesson, students are presented with a real-world problem: Given a mirror and laser pointer, determine the position where one should stand so that a reflected light image will hit a designated target. This investigation allows students to develop several rational functions that models three specific forms of a rational function. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Make a conjecture
In this lesson, one of a multi-part unit from Illuminations, students explore the development of a mathematical model for the decay of light passing through water, in a rich exploration of exponential models in context. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Movie lines
This Illuminations lesson allows students to apply their knowledge of linear equations and graphs in an authentic situation. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Pedal power
In this Illuminations lesson, students compare, contrast, and make conjectures based on distance-time graphs for three bicyclists climbing to the top of a mountain. They determine the slopes of the graphs and interpret them as rates of change. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Rates of change in Pick's Theorem
In this lesson, one of a multi-part unit from Illuminations, students use a spreadsheet to investigate rates of change among various figures created on a geoboard. The coefficients of Pick's Theorem are easily determined from these rates of change. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics
Smokey Bear takes algebra
In this lesson, from Illuminations, students learn about the many factors that play a role in creating a forest-fire danger rating index. They work with the Angstrom and Nesterov Indexes and explain the relationship between relative humidity and fire danger. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provider: National Council of Teachers of Mathematics