5E Lesson

In this lesson, students will explore angles of incline on different wheelchair ramps by measuring side lengths and finding missing angle measures using inverse trigonometric functions. Students will compare their results with the Americans With Disabilities Act (ADA) accessibility standards to determine... Read more »

5E Lesson
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Elevating Angles, Part 2

Inverse Trigonometry: ADA Accessibility

- Individual Career Academic Plan (ICAP)

- 9th - 12th

- Geometry, Precalculus

- Mathematics

- G.RT.1.3

2 class periods

75-90 minutes

5E Lesson

Students will explore inputs and outputs of trigonometric functions and use this relationship to identify the need for inverse trigonometric functions to find an unknown angle measure. Students will then watch a video of a civil engineer share how he uses right triangle trigonometry and apply their... Read more »

5E Lesson
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Elevating Angles, Part 1

Inverse Trigonometry: Introduction

- Individual Career Academic Plan (ICAP)

- Geometry

- Mathematics

- 9th - 10th

- G.RT.1.3

2 class periods

75-85 minutes

5E Lesson

In this lesson, students will discover how a given side, side, and angle could result in 0, 1, or 2 triangles. They will then learn the Law of Sines and use it to find missing side lengths and angle measures. This lesson is intended to be taught before the Law of Cosines lesson and after students learn... Read more »

5E Lesson
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Law of Sines

AAS, ASA, SSA

- 11th - 12th

- Precalculus

- Mathematics

2 class periods

80-100 minutes

Instructional Strategy

- Kindergarten - Secondary

This cooperative learning strategy engages students in processing and checking their understanding of a lesson. Read more »

Instructional Strategy

- Large Group (at least 30), Medium Group (at least 10), Whole Class

- Evaluate/Assessment

- Less Than 10 Minutes

- Active Engagement, Collaborate, Elaborate, Speak & Listen, Summarize

- Kindergarten - Secondary

5E Lesson
Multimodality

In this lesson, students will recall expanding polynomials and factoring quadratics. Students will learn how to factor polynomials with two, three, or four terms: difference of two squares, sum or difference of two cubes, trinomials of the quadratic form that are not quadratics, and grouping. Students... Read more »

5E Lesson
Hybrid
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Finding Factors, Part 2

Factoring Polynomials

- 10th - 11th

- Algebra 2

- Mathematics

- A2.A.1.4, A2.A.2.1

2-3 class periods

105-130 minutes

5E Lesson

In this lesson, students will recall finding greatest common factors (GCFs) of polynomials and the relationship between the factored and standard forms of a quadratic expression. Then, students will learn how to factor using the TRI method. Students will use this knowledge to factor and solve (factorable)... Read more »

5E Lesson
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Finding Factors, Part 1

Factoring Quadratics

- 10th - 11th

- Algebra 2, Intermediate Algebra

- Mathematics

- A2.A.1.1, A2.A.2.1

2-3 class periods

110-135 minutes

5E Lesson

This is a lesson for Law of Cosines, which also connects Law of Sines and Law of Cosines to map triangulation. Students will receive a brief introduction to Trig Pillars: a tool used in the United Kingdom in the mid-20th century to help with mapmaking. Then, they will go through an informal proof of... Read more »

5E Lesson
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Law of Cosines

Triangulation and Mapping

- 11th - 12th

- Precalculus

- Mathematics

1-2 class period(s)

80-90 minutes

5E Lesson

In this lesson, students will discover how matrices are used in computer graphics. Students will learn how to perform the matrix operations of addition, subtraction, multiplication, and scalar multiplication. They will then learn how multiplying matrices relates to transformations and, in turn, animation... Read more »

5E Lesson
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Matrix Operations

Matrices in Computer Graphics

- 10th - 11th

- Algebra 2

- Mathematics

- A2.N.1.3

2-3 class periods

90-130 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
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