1 The South Mississippi Science and Mathematics Partnership Program (SMP) 2 Supported by The U.S. Department of Education and Administered by The Mississippi Department of Education (MDE)

2 Our Team Dr. Myron Henry (Co-Director), Mathematics Dr. Sherry Herron (Co-Director), Science Education Dr. Sharon Walker (Co-Director), Science Education Dr. Shelia Brown, Science Education Ms. Lida McDowell, Mathematics Ms. Mary Peters, Mathematics Dr. David Beckett, Science The most important members of our team? Your teachers who were participants and their students, which is you! 14.Celsius, Fahrenheit, slopes, lines

6 Mathematics Topics Cartesian coordinate system Slope function tables line graphs slope intercept form of linear equation Fahrenheit and Celsius temperature graphing calculator charts and graphs

7 Partial Objectives from the 2007 Mississippi Mathematics Objectives (Revised) 6 th grade 2b (Complete a function table based on a given rule), 2e (Describe a rule for a function table using symbols), 5a (Construct, interpret, and explain line graphs) 7 th grade 2a (Recognize, describe, and state the rule of generalized numerical and geometric patterns using tables, words, and symbols), 2b (Solve equations that represent algebraic and real-world problems using multiple methods), 2d (Complete a function table based on a given rule and vice versa) Pre-Algebra 2c (Solve and check equations using one variable), 2e (Graph linear equations using multiple methods including t-tables and slope-intercept), 2f (Given a linear graph, identify its slope as positive, negative, undefined, or zero, and interpret slope as rate of change), 2g (Determine slope, x-intercept, and y-intercept from a graph and/or equation in slope-intercept or standard form) Algebra 1 2a (Solve, check, and graph multi-step linear equations in one variable), 2e (Graph and analyze linear functions), 2f (Use algebraic and graphical methods to solve systems of linear equations in real-world situations) 3a (Apply the concept of slope to determine if lines in a plane are parallel)

8 A mini lesson on slopes and lines “ Stacking Cups” from Navigations through Algebra in Grades 6-8, National Council of Teachers of Mathematics Two points determine a line and the slope Slope intercept form y = mx + b y=x (our favorite line?) Fahrenheit and Celsius (100, 212); (0, 32) F = (9/5)C+ 32 The Montana Equilibrium Dr. Myron Henry, USM Ms. Lida McDowell, USM Ms. Mary Peters, USM

9 “Stacking Cups” from Navigations through Algebra in Grades 6-8, National Council of Teachers of Mathematics Goals Connect the concept of linearity with real-world contexts. Use a table to organize information. Make a graph to display data using correct labels and scales. Recognize that a constant rate of change exists between the two variables.

10 Activity You have been hired by a company that makes all kinds of cups- foam hot cups, plastic cold cups, paper cups, and more – of different sizes. For each of the kinds of cups it makes, the company needs to know the measurements of cartons that can hold 50 cups. Your task is to provide this information.

11 # of cups n Stacked Ht. of cups (cm) H Cup type A 1.Make a table and record in it the measurement data for different types of cups. Cup type B # of cups n Stacked Ht. of cups (cm) H

Make a coordinate graph of each data set.

13 4.Identify the units of measure for the dependent variable H, the vertical intercept, the rate of change, and the independent variable n. 3.Describe the variables being investigated and the relationship between the variables.

14 5.Predict how tall a stack of 50 cups would be and explain how you made your prediction. 6.Compare the results for the different kinds of cups, noting similarities and differences. 7.For each kind of cup, recommend the inside dimensions of a carton that would hold a stack of 50 cups.

15 A mini lesson on slopes and lines Two points determine a line Two points determine the slope Slope intercept form y = mx + b y=x (our favorite line?) Fahrenheit and Celsius (100, 212); (0, 32) F = (9/5)C+ 32 The Montana Equilibrium Dr. Myron Henry, USM Ms. Lida McDowell, USM

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20 Slope intercept form of a line yx ? Two points determine a line.

21 Fahrenheit and Celsius formulas yx FC

22 yx FC

23 Fahrenheit and Celsius formulas FC Two points determine a line. FC

24 Find the Montana Equilibrium And Bozeman, MT And West Yellowstone, MT

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28 Down Right Cold!

29 Temperature is in Fahrenheit. What is it in Celsius? Low is C