12 O'Quad High: Trigonometry in Flight
Common Core State Standards
Math 
Math 
F 
Functions 
TF 
Trigonometric Functions 
5 
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. 
Download Common Core State Standards (PDF 1.2 MB) 
Common Core State Standards
Math 
Math 
Practice 
Mathematical Practice Standards 
MP2 
Reason abstractly and quantitatively. Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualizeto abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents—and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects. 
Download Common Core State Standards (PDF 1.2 MB) 
Common Core State Standards
Math 
Math 
Practice 
Mathematical Practice Standards 
MP3 
Construct viable arguments and critique the reasoning of others. Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, andif there is a flaw in an argumentexplain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments. 
Download Common Core State Standards (PDF 1.2 MB) 

Lesson Idea (Common Core)Beyond Fingers: Place Value & the Numbers 1119Grades K2 / Math / ReasoningMath.K.NBT.A.1 / Math.Practice.MP2 / Math.Practice.MP3
 638
 96

Lesson Idea (Common Core)Multiplying Whole Numbers & FractionsGrades 35 / Math / ReasoningMath.4.NF.B.4b / Math.Practice.MP2 / Math.Practice.MP3
 225
 35

Lesson Idea (Common Core)Leprechaun Traps: Addition Within 100Grades K2 / Math / ReasoningMath.1.NBT.C.4 / Math.Practice.MP2 / Math.Practice.MP3
 529
 60

Lesson Idea (Common Core)A Passion for FractionsGrades 35 / Math / ReasoningMath.5.NF.B.4b / Math.Practice.MP2 / Math.Practice.MP3
 517
 59

Lesson Idea (Common Core)Conjecturing About FunctionsGrades 68 / Math / ReasoningMath.8.F.B.4 / Math.Practice.MP2 / Math.Practice.MP3
 81
 31
 Lesson Objective
 Apply knowledge of trigonometric functions
 Length
 14 min
 Questions to Consider
 What kinds of questions do Ms. Brookins and Mr. James ask their students?
 How does working with the different scenarios further students' understanding?
 What can you learn from Ms. Brookins and Mr. James about connecting math to realworld problems?
Teacher & School Info

Peggy Brookins

Raymond James
 School Details
 Forest High School Ocala, FL
 Population
 2,107 students
 District Spending
 $8,086
Supporting Materials

12 O'Quad High: Trigonometry in Flight Transcript

Lesson Plan: 12 O'Quad High TLA Release.PDF

Lesson Plan: 12 O'Quad High APA Research Rubric.PDF

Lesson Plan: Design Workshop.PDF

Lesson Plan: Mission Update 1.PDF

Lesson Plan: Mission Update 2.PDF

Lesson Plan: MPs and Questions.PDF