5E Lesson
Multimodality

In this lesson, students will work with rational functions that have 0, 1, or 2 vertical asymptotes and 0 or 1 horizontal asymptotes. Students will explore the relationship between the equation and graph of a rational function, learn what causes different types of asymptotes, and apply their knowledge... Read more »

5E Lesson
Hybrid
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Can't Touch This, Part 2

Graphing Rational Functions

- 10th - 11th

- Algebra 2

- Mathematics

- A2.F.1.6

2-3 periods

90-120 minutes

5E Lesson
Multimodality

In this lesson, students will use their knowledge of domain and range to match pictures of graphs of rational functions with their corresponding domains and ranges. Students will learn about asymptotes, including what they are and how to find vertical and horizontal asymptotes of rational functions.... Read more »

5E Lesson
Hybrid
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Can't Touch This, Part 1

Graphing Rational Functions

- 10th - 11th

- Algebra 2

- Mathematics

- A2.F.1.6

2 periods

80-90 minutes

5E Lesson
Multimodality

In this lesson, students will recall solving equations with rational exponents and radicals. Using graphs, students will recall evaluating and solving equations with function notation. Students then will learn how to address extraneous solutions and why they exist. Students will apply this new knowledge... Read more »

5E Lesson
Hybrid
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Radical Yet Rational, Part 3

Extraneous Solutions

- 10th - 11th

- Algebra 2

- Mathematics

- A2.N.1.4, A2.A.1.5

2 class periods

65-80 minutes

5E Lesson
Multimodality

In this lesson, students will recall solving quadratic equations and rewriting radical expressions as expressions with rational exponents and vice versa. Students will learn how to solve equations with rational exponents and radicals. Then, students will apply this new knowledge to both mathematical... Read more »

5E Lesson
Hybrid
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Radical Yet Rational, Part 2

Solving With Rational Exponents and Radicals

- 10th - 11th

- Algebra 2

- Mathematics

- A2.N.1.4, A2.A.2.4

2 class periods

80-90 minutes

5E Lesson
Multimodality

To complete this lesson, students need to know how to simplify the square root of a negative number and how to simplify i to a power.* This lesson is contained within an escape room. Students will navigate through a spaceship and, along the way, will perform operations on complex numbers so they can... Read more »

5E Lesson
Online
Hybrid
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My Imaginary Friend, Part 2

Operations With Complex Numbers

- 10th - 11th

- Algebra 2

- ICAP, Mathematics

- A2.N.1.2

2-3 class periods

60-80 minutes

5E Lesson

In this lesson, students will recall properties of exponents and how to simplify square roots and cube roots. Then, students will learn how to write radical expressions as expressions with rational exponents and vice versa. Students will use this knowledge to simplify expressions using either approach.... Read more »

5E Lesson
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Radical Yet Rational, Part 1

Rewriting Rational Exponents and Radicals

- 10th - 11th

- Algebra 2

- Mathematics

- A2.A.2.4

2 class periods

80-90 minutes

Instructional Strategy

- 6th - Undergraduate

This formative assessment strategy involves finding pairs (or sets) of cards that uniquely share the same relationship or attribute. Card decks do not need to have equal size groups, consider creating uneven matches, where there are more of one type of card than another, or creating some cards that... Read more »

Instructional Strategy

- Small Group

- Engage/Opening, Evaluate/Assessment

- 10 - 20 Minutes, 20 - 30 Minutes

- Analyze, Critical Thinking, Interpret, Organize, Reason, Recognize, Reflection

- 6th - Undergraduate

5E Lesson
Multimodality

In this lesson, students will be introduced to imaginary numbers and their history. Students will learn how to simplify the square root of a negative number and how to simplify i to a power. Before beginning this lesson, students need to (1) know how to simplify the square root of a whole number and... Read more »

5E Lesson
Online
Hybrid
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My Imaginary Friend, Part 1

Understanding and Simplifying Imaginary Numbers

- 10th - 11th

- Algebra 2

- Mathematics

- A2.N.1.1, A2.N.1.2

2 class periods

70 minutes

5E Lesson

In this lesson, students will use their existing knowledge to find the area and perimeter of triangles, rectangles, and trapezoids to discover how to find the area of a regular polygon and apply their knowledge to real-world scenarios. Read more »

5E Lesson
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Designing Your Area

Area and Perimeter of Regular Polygons

- Geometry

- Mathematics

- 9th - 10th

- G.2D.1.6

2 periods

70-90 minutes

5E Lesson

Students will explore the properties of congruent polygons and analyze how to apply those properties to solve problems. Read more »

5E Lesson
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A Perfect Match

Congruent Polygons

- Geometry

- Mathematics

- 9th - 10th

- G.2D.1.7

1-2 Periods

45-70 minutes