Math-in-CTE Lesson Plan Lesson Title: Rise and Fall of Body Temperatures Occupational Area: Health CTE Concept(s): Temperature Math Concepts: Graphing whole numbers Lesson # H03 Lesson Objective: Student will demonstrate a working knowledge of: Collecting accurate data Identifying scale intervals Understanding graphing terminology Plotting data on a graph Students will be able to accurately measure a patient’s temperature Students will be able to accurately record a patient’s temperature Supplies Needed: Pencils/Pens, paper, thermometers, vital graph records, alcohol, overhead transparencies, tissues, gloves, worksheets, and graph paper Overhead Projector Computer for PowerPoint (optional) Transparency of a thermometer or a large 3’ visual Overhead projector pens Watch with a second hand Waste container Simmers, L. M. (2003). Diversified Health Occupations. (6th ed.). Clifton Park, NY: Thomson Delmar Learning. Link to Accompanying Materials: Health Occupation H03 Downloads THE "7 ELEMENTS" 1. Introduce the CTE lesson. TEACHER NOTES (and answer key) NOTE: At beginning of class hand out a reading sample as pre-assessment of knowledge (worksheet #1). It should relate to the reading assigned the night before from your textbook that corresponds to this lesson. (see attached as a sample from Diversified Health Occupations 6th edition pg.351,367) One of the skills that we are going to need to know as a health care provider is vital signs. One of the major components of vital signs is temperature. It is important to measure a patient’s temperature in order to identify the possible disease processes that may be occurring. Vital signs are often the Health Concept(s): first indication of disease and abnormality in the patient. Measuring, analyzing Temperature is defined as “the temperature. 1 and recording balance between heat loss and Math Concept(s): heat produced by the body”. This Plotting graphs, charts, data analysis, and process involves reading a problem solving thermometer and plotting the results on a graph to document the information. 2. Assess students’ math Sample answers: awareness as it relates to the CTE lesson. The teacher will ask the students 1. 96 - 99 F or 36.5 - 37.2 C or 97 100 F or 36.1 - 37.8C (range varies the following questions: according to reference) 1. Does anyone know what the 2. The small lines are two-tenths (.2) of a "normal" body temperature is? degree and the large lines are a full 2. Looking at large (class sized) degree. thermometer, can you tell what 3. Rulers, scales, number lines, and the units represent? blood pressure cuffs 3. Where else do you see units of 4. Temperature, sales, newspapers, measurement similar to this statistics, television, and schools being used? 4. Outside of this classroom Math Vocabulary: where else do you see graphs Scale - An arrangement of numbers in being used? some order at uniform intervals. 5. Can you define the following Interval - A set of points between two terms: points. Scale, Interval, Axis, Horizontal Axis, Vertical Axis - The lines that divide the coordinate Axis, Plotting, system Coordinate X (Horizontal) axis - horizontal line that in the health care is placed at the top instead of at the bottom. Y (Vertical) axis - vertical line. Plotting - Marking points in a coordinate system. Coordinate – An ordered pair of numbers that locates a point on the graph with reference to the x and y axes. 3. Work through the math example embedded in the CTE lesson. Thermometer Reading 1. Demonstrate to students with 1. Ask students other forms of scales that 2 the thermometer transparency #1 that the thermometer has a series of long and short lines. Each long line is a whole degree and has 4 short lines behind it, then one long line, then 4 short lines. These are the intervals. Now turn the thermometer so that you can see the scale numbers. They go from 94 to 106, by twos (9496-98, etc). we use everyday. Such as rulers, liquid measuring cup, intake graduate container, etc. Point out that all types of scales represent some form of intervals. Example: rulers show intervals in inches or centimeters and liquid measuring cups show intervals using ounces, and thermometers show intervals using degrees. NOTE: Not all thermometers begin and end with the same numbers. Some begin at 94 and some begin at 96. 2. Each short line represents twotenths of a degree (0.2º, 0.4º, 0.6º, or 0.8º) 3. Use a large (3' long) unmarked thermometer or a transparency of an unmarked thermometer. Have students correctly identify the temperature when pointing to a line. 4. Looking at a thermometer, first you must find the interior alcohol line. Hold the thermometer up to the light & turn it slowly. Look for the dark line running through the middle. 5. Now turn the thermometer so that you can see the scale numbers. Remember, the numbers listed go from 94 to 106, by twos (94-96-98, etc). The small lines represent .2 (two-tenths). The patient temperature is red at the end of the dark line. 6. Handout a worksheet (see worksheet 2) and students will have to correctly fill in the blank areas on the scale. 3. If you do not have a large visual thermometer then you may make a transparency out of the thermometer in transparency #2 and make copies of transparency #2 to hand out to students. Then identify a line on the thermometer and call on students to identify the correct temperature. While pointing to a particular temperature, have students verbalize proper temperature. 6. Hand out worksheet 2 and have students complete. Teachers may need to help lower level students. Answers for 1-10 need to be done on a worksheet. 11. – 20.: 95.6, 97, 98.2, 99.2, 100.4, 101.6, 103, 104.2, 105.8, 106.4 3 Graphing the results 1. Demonstrate to the students either on an overhead or on the whiteboard the differences in the set-up of the axes in math vs. health. In health care, we place the horizontal or X-axis at the top of our graph sheet instead of at the bottom as in math. 1. Make sure to point out to the students the difference between what the axes represent. In the health field the x-axes always represents the date and time. The y-axes always represent actual vital sign results. Y-Axis X-Axis Math X-Axis Y-Axis Health 2. Use sample blank graphic chart (transparency 3) to explain how the chart is completed. Working with the health students identify the following areas on the chart; name, doctor, room number, hospital number, date for each 24hour period. 2. Ensure students understand note charting is not done until patient identification is on the page. Dates also need to be filled in across the page. 3. Make sure to point out to students that 3. Using the same blank in math the term graph is used and in transparency use the following health the term chart is used. sample data to ask students where to graph or chart in proper location. Once the coordinates are plotted, connect in a straight line. At 8:00 a.m. 1st day temperature is 98.6 At 4:00 p.m. 1st day temperature is 100 4 4. Use sample graphic chart 4. Answers to transparency #4 (from left (transparency 4) to ask students to right): what the plotted temperature 99, 99.8, 98.6, 101, 102.2, 100.2, coordinates represent. 100, 101, 100.8, 99.8, 100.8, 99, 97.8, 98.6, 98.2, 98, 97.8 Use the following examples with the students on the overhead or the whiteboard. Introduce two different ways to write a division problem. 9/5 and 9 5 and state that each ways means 9 divided by 5. Converting Temperatures 1. To convert from Fahrenheit to Celsius temperature: subtract 32 from, the Fahrenheit temp, and then multiply the result by 5/9 2. To convert from Celsius to Fahrenheit temperature: multiply the Celsius temperature by 9/5 and then add 32 to the total. 4. Work through related, contextual math-in-CTE examples. 1. Use sample graphic chart (transparency 5) to ask students what the plotted pulse coordinates represent. 2. Use sample graphic chart (transparency 5) to ask students what the plotted respiratory coordinates represent. 5. Work through traditional math examples. 1. Using the calorie chart, find the number of calories in a fruit salad made from 3 apples and 5 bananas. 9/5= 1.8 and 5/9 = 0.5556 1. For example, to convert 212 F to Celsius, subtract 32 from 212 to get 180, then multiply 180 by 5/9 to get the Celsius temperature of 100. 2. For example, to convert a Celsius temp of 37 to Fahrenheit, multiply 37 by 9/5 to get 66.6. Then add 32 to the 66.6 to get the Fahrenheit temperature of 98.6. 1. Answers to transparency #5 (from left to right): 82, 88, 84, 98, 100, 96, 83, 88, 85, 80, 88, 80, 78, 78, 75, 73, 70, 68 2. Answers to transparency #5 (from left to right): 18, 20, 12, 20, 24, 18, 15, 15, 12, 18, 15, 15, 15, 14, 16, 14, 14 *If you need an extension: distribute plain graph paper to allow students to create their own graph. Basic Skill Level 1. Calories from apples; 70 3 = 210 Calories from bananas 100 5 = 500 Total: 710 calories 5 Calorie Chart Food Calories Bread Slice 55 Apple 70 Banana 100 Egg 110 Average Skill Level 2. On Monday the average temperature was – 10 F. On Tuesday it was – 15 F. On Wednesday it was 13 F. On Thursday it was 0 F. Graph the temperatures on a number line. Label the values. 2. _______________________ -15 -13 -10 0 Tue Wed Mon Thur Higher Skill Level 3. ____ -35 States Temperatures California 5 C Nevada 10 F Georgia 20 C 3. a. Use a number line to graph the temperatures in the chart. Label each temperature with the name of the state where it was recorded. b. Which state recorded the lowest temperature? _ -25 ______ -15 N G 0 5 C b. The state with the lowest recorded temperature is Nevada. Teachers: in order to obtain the correct answer, students must convert all temperatures to Celsius. To convert -10 F to Celsius, subtract 32 from -10 to get -42, and then multiply by 5/9 or 0.5556 to get the Celsius temperature of -23. 6. Students demonstrate their Worksheet number 3 is basic skill level. understanding. Worksheet number 4 is average skill See attached worksheets numbers level. 3, 4, 5. Worksheet number 5 is higher skill level. 7. Formal assessment. See assessment worksheet 6. 6