Learning Math Through Wildlife Learning Math Through Wildlife Have you seen my MOOSE?
Key Concepts The modeling process vs. UPIC Ordered Pairs Function Notation Additive process Inequality Notation Simulation Scale Change Transformation
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.
LESSON 1 The mathematical modeling process is introduced to students. Identify a situation. Simplify the situation. Build a model Evaluate and revise the model
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.
LESSON 2 Students use a data sheet of information about moose. Students use computer based spreadsheet. Students write linear equations.
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.
PRIOR KNOWLEDGE VOCABULARY Students must retain prior knowledge from previous chapters. Recursive equations and closed-form equations continue into Chapter 6.
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.
CLOSED FORM EQUATIONS Equations that allow you to find the value of one variable given the value of the other variable. X = -3 + 5t
Mathematical Modeling The process of beginning with a situation and gaining understanding about that situation through the use of mathematics.
Ordered Pair Two numbers designating the values of two quantities, where the order in which the numbers appear indicates their meaning.
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.
ADDITIVE PROCESS Any process described by a recursive equation of the form Q(n + 1) = Q(n) + k where k is a constant.
INEQUALITY NOTATION A mathematical statement of the relationship between two numbers that are not necessarily equal. Examples: 1 < 4 or 0 < x < 2
SIMULATION Acting out the details of a situation you are modeling. May use equations, graphs, technology, physical objects.
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.
OBJECTIVES AND STANDARDS Standard I – Problem Solving and Reasoning. Standard II – Mathematical Communication Standard III – Mathematical Connections
OBJECTIVES AND STANDARDS Standard IV Number Sense and Systems Standard VI Algebra Standard VII Data