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MY FEATURED ITEMS

My Products

Rate of change, velocity, slope, change in y over change in x. The fact that there are so many ways to describe rate of change is a demonstration of the centrality of this concept to functions and their ability to model relationships between

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Students will compare and contrast exponential functions with linear and quadratic functions by using these function types to model different scenarios. They will compare the values returned for each function in real-world contexts, the tables and

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Linear functions, rate of change, domain and range and linear equalities are all featured in this comprehensive bundle. These missions are aligned with Common Core State Standards from the categories of Expressions and Equations, Algebra and

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Finding linear functions from tables, equations and graphs challenges students to deepen their understanding of the slope and y-intercept of a line. This mission aligns with the Common Core State Standards: HSA.CED.A.2, HSF.BF.A.1, 8.F.A.3,

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Students will use similar triangles to model geographic relationships, connecting data from the real world to a map. Students will interpret the resulting triangles on the map and draw conclusions. The Take-home Message: If two pairs of angles in

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Students will explore exponential functions by modeling growth and decay scenarios. They will compare linear and non-linear models, and develop and standard form for an exponential function. This mission is aligned with Common Core State Standards:

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Great Algebra “cheat sheets” which summarizes various algebra concepts and procedures covered in my materials. Handy, concise, helpful!
Topics covered include:
•Adding Fractions
•Multiplying Fractions
•Basic Probability Rules
•Converting Decimals

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Students will explore rational exponents in the real world context of earthquake magnitude. This will lead students to an understanding of both decimal and fractional exponents. They will learn how to approximate values resulting from such exponents

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Students will revisit exponential and linear functions by modeling real-world scenarios with equations, tables and graphs. They will use horizontal shifts to create sequences with initial values at n=1. They will practice writing functions using

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Students will explore the normal distribution through real-world examples and the binomial distribution as number of experiments increases. Students will connect frequency plots to their corresponding probability distributions, and explore the

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Linear functions provide a great structure for students to learn modeling and problem-solving. This mission is aligned with Common Core State Standards: 8.F.B.4, HSA.REI.C.6.
The fun stuff:
A personal favorite because it involves gym memberships

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Scientific notation and exponential notation in general are powerful tools for comparing the relative magnitude of real-world quantities. This mission is aligned with Common Core State Standards: 8.EE.A.1, 8.EE.A.3, 8.EE.A.4, HSN.Q.A.3.
The fun

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Students will develop the Altitude to Hypotenuse Theorems and the Pythagorean Theorem with carefully guided proofs. The Take-home Message: The Pythagorean Theorem can be proven by observing that an altitude to the hypotenuse creates 3 similar

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Shape, center and spread, the normal distribution, sampling and linear regression are all explored in this introduction to statistics. These missions are aligned with Common Core Standards from the Statistics and Probability category for 8th grade

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Students will explore samples and statistics using real world data. They will take multiple samples from a roughly normally distributed population and observe that the samples statistics are normally distributed with a mean close to the population

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Students will play games to remember and reproduce the angles in the unit circle in radians and degrees, as well as the trigonometric ratios associated with multiples of special angles in the unit circle. This mission is aligned with Common Core

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Linear functions provide a great introduction to function concepts of input and output as well as giving students insight into the relationship between tables, equations and graphs. This mission is aligned with Common Core State Standards: 8.FA.1,

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Exploring non-linear models helps students better understand functions and their power to model the real world. This mission is aligned with Common Core State Standards: 8.F.B.5, HSN.Q.A.2, HSA.CED.A.1.
The fun stuff:
Newton's apple gets tossed

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Domain and range are essential to a deep understanding of functions. This mission aligns with Common Core State Standards: 8.F.A.1, HSF.IF.A.1, HSF.IF.A.2
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This rug really ties the room together, don't you think? Domain and range: the

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Graphing linear inequalities challenge students to understand the relationship between functions, equations and their graphs, then extend these concepts to graph a half-plane. This mission is aligned to Common Core State Standards:

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TEACHING EXPERIENCE

Wow, I love TpT! I've taught high school math for 15 years. TpT is a great place to find and share materials which empower students. If you like Courage To Core, please take the time to give me a positive rating, it will help me get started here at TpT! Thanks!

MY TEACHING STYLE

You're a teacher, you understand the combination of idealism and realism that's required! Here's how I see it: We all have an innate curiosity about how the world works. We are wired to experiment at the edges of our knowledge, to look for patterns and to draw conclusions. Mistakes are the welcome surprises which help us refine the experiment. In a student-centered classroom, students collaborate to ask questions, gather data, interpret results and articulate understanding. Success at the edge of knowledge demands persistence and creativity. Courage To Core provides a context for students to work together to become the agents of their success and the owners of their cognition. Plus, with base jumpers, car racing, coin flipping, sailboats and NBA players and more featured as the real-world focus of various missions, it's fun!

HONORS/AWARDS/SHINING TEACHER MOMENT

Administrator Quote: “Chris is a gifted and masterful teacher whose genius is in his ability to trust and encourage kids to take ownership over their learning.” Parent Quote: "Chris is a great source of motivation for my children. He gave them to a positive experience and inspired them to grasp mathematics through truly enriching intellectual involvement." Student Quote: "You boosted my confidence with math and I seriously can't thank you enough!"

MY OWN EDUCATIONAL HISTORY

Appalachian State University, Bachelor of Science, Applied Mathematics

ADDITIONAL BIOGRAPHICAL INFORMATION

From sea to shining sea! For 15 years I’ve taught high school mathematics at schools from the Carolina's to California. Teaching to ESL learners at a Spanish international school helped me make my materials multi-culturally accessible. Teaching English in Portugal enriched my writing. Guiding rock climbing and coaching surfing enlivened my word problems. Ultimately, teaching makes every day an intellectual adventure as rich as any of those. I created these math materials to give students as much power in the learning process as possible, so that together my students and I can share in the journey of discovery of mathematical ideas. I hope that you and your students find Courage To Core to be an intellectually enriching adventure!

GRADES

6^{th}, 7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}, Homeschool

SUBJECTS

English Language Arts, Math, Algebra, Applied Math, Arithmetic, Basic Operations, Fractions, Geometry, Graphing, Numbers, Order of Operations, Trigonometry, Science, Earth Sciences, Physics, Social Studies - History, Ancient History, Statistics, Word Problems, Algebra 2, Poetry, Decimals