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Learning Math Through Wildlife Learning Math Through Wildlife Have you seen my MOOSE?

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Key Concepts The modeling process vs. UPIC Ordered Pairs Function Notation Additive process Inequality Notation Simulation Scale Change Transformation

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LESSON 1 OVERVIEW Lesson 1 continues the use of recursive equations and closed-form equations. Students also use their prior knowledge of ordered pairs and are introduced to function notation. The pencil problem gives a simple, real- life application for students to use.

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LESSON 1 The mathematical modeling process is introduced to students. Identify a situation. Simplify the situation. Build a model Evaluate and revise the model

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LESSON 2 OVERVIEW With lesson 2 students are asked to simulate a real-life situation. Students are divided into groups and given a role. Students use the mathematical modeling process.

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LESSON 2 Students use a data sheet of information about moose. Students use computer based spreadsheet. Students write linear equations.

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TECHNOLOGY Lesson 1 and 2 allows for the integration of technology in the classroom. For Lesson 1 students use graphing calculators. For Lesson 2 students use Excel.

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PRIOR KNOWLEDGE VOCABULARY Students must retain prior knowledge from previous chapters. Recursive equations and closed-form equations continue into Chapter 6.

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RECURSIVE EQUATIONS Indicate the relationship between the current value of a variable based on the previous value of the same variable using a constant increment in the explanatory variable. Recursive equations require designation of an initial condition.

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CLOSED FORM EQUATIONS Equations that allow you to find the value of one variable given the value of the other variable. X = -3 + 5t

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Mathematical Modeling The process of beginning with a situation and gaining understanding about that situation through the use of mathematics.

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Ordered Pair Two numbers designating the values of two quantities, where the order in which the numbers appear indicates their meaning.

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FUNCTION NOTATION C(1) = 25 The value of c is 25 when the other quantity is 1 A way to show the value of one quantity whose value is determined by the value of another quantity.

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ADDITIVE PROCESS Any process described by a recursive equation of the form Q(n + 1) = Q(n) + k where k is a constant.

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INEQUALITY NOTATION A mathematical statement of the relationship between two numbers that are not necessarily equal. Examples: 1 < 4 or 0 < x < 2

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SIMULATION Acting out the details of a situation you are modeling. May use equations, graphs, technology, physical objects.

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SCALE CHANGE TRANSFORMATION A transformation in which all first coordinates (or second) are multiplied by the same constant, resulting in a horizontal (or vertical) stretch of the corresponding graph.

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OBJECTIVES AND STANDARDS Standard I – Problem Solving and Reasoning. Standard II – Mathematical Communication Standard III – Mathematical Connections

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OBJECTIVES AND STANDARDS Standard IV Number Sense and Systems Standard VI Algebra Standard VII Data

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CREDITS LORRIE KARIN SANDY ED

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