Unit 8 Math & Nutrition · 2017. 5. 18. · ~ 1 ~ Online Nutrition Calculators 1. Body Mass Index & Daily Calorie Calculator Go to your teacher’s webpage and Math 3 projects. Find

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Unit 8—Math & Nutrition

Math 3

Name __________________

Teacher ________________

Period _____

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Online Nutrition Calculators 1. Body Mass Index & Daily Calorie Calculator

Go to your teacher’s webpage and Math 3 projects. Find Unit 8: Nutrition

and click on the first link labeled BMI. Read the article and answer the

following questions: http://www.webmd.com/diet/features/how-accurate-body-mass-index-bmi

1. What is Body Mass Index (BMI)?

2. What is the formula used to calculate BMI?

3. Based on the formula, what information about you impacts your BMI?

4. Why is Body Mass Index the measurement of choice? (Notice you have to click to see

page 2 of this article)

5. Why might your Body Mass Index not be the best method of screening for weight

categories?

6. What famous athlete does this article use to prove their point?

7. What other methods are suggested as a replacement for BMI?

http://www.webmd.com/diet/features/how-accurate-body-mass-index-bmi

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Go to the second website listed under the Unit 8 Nutrition projects labeled

BMR. Read the top paragraph and answer question 8: http://www.bmi-calculator.net/bmr-calculator/

8. What is the Basal Metabolic Rate (BMR)?

Go to the third website listed under the Unit 8 Nutrition projects labeled

Daily Calorie Calculator. http://www.rightsizeonline.com/Tools.asp

Click on the BMI Calculator and enter your information.

9. Record your BMI

Close the BMI Calculator and click on the Calorie Calculator.

10. Enter the information about yourself and record it here:

Weight: Age: Gender: Height: Activity level:

Basal Metabolic Rate: Daily Caloric Needs:

Copy your Daily Caloric Needs onto the top of page 3.

Go back to the Calorie Calculator to complete page 3. MAKE SURE YOU

ONLY CHANGE ONE FACTOR AT A TIME.

http://www.bmi-calculator.net/bmr-calculator/

http://www.rightsizeonline.com/Tools.asp

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Total Calorie Needs from Previous Page: ___________

What if . . . Make each of the following changes. ONLY CHANGE ONE FACTOR AT A TIME.

KEEP ALL OTHER INFORMATION THE SAME AS WHAT YOU ORIGINALLY

ENTERED.

1) . . . you were the opposite sex:

a. New Calculated Calorie Needs:

b. Is this an increase or decrease?

c. By how much?

2) . . . you exercised more/ less (your choice – write it down ________________):



c. By how much?

3) . . . you were 30 years older:



c. By how much?

4) . . . you were 50 pounds heavier/ lighter (your choice – write it down __________):



c. By how much?

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2. Exercise Calculator Go to the back to the Math 3 webpage and click on the link for Calories Burned While

Running (http://www.coolmath.com/calculators/calories.htm)

Calculate how many calories you would burn if you ran:

One mile:______________

Three Miles:______________

Five Miles:_______________

Scroll down. Use the formula provided on the website to see how they found these answers.

Write the formula below.

_______________________________________________________________________

Use the formula to calculate how many calories you burn for each mile you ran. Check to see if

these are the same answers the computer gave you.

One mile:______________

Three Miles:______________

Five Miles:_______________

3. Burning off your 5 favorite foods 1) Go to back to the Math 3 website and click on the link for How much do I have to

exercise to burn off . . . (http://www.diet-i.com/calorie_table/index.htm) 2) Choose your five favorite foods and record them in the first column.

3) Choose an activity from the ones they list that you would be likely to do. (You may use

different activities for each food if you would like.)

4) Write down how many minutes you would have to do the activity to burn off the food.

Food Activity Minutes

If you notice, it says that these numbers are calculated for a 150 pound woman. Do you weigh

more or less? Are you male? If you are not female and 150 pounds, how do you think this would

impact the amount of calories burned while doing the physical activities?

http://www.coolmath.com/calculators/calories.htm

http://www.diet-i.com/calorie_table/index.htm

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4. Calorie Intake Per Day 1) Record what you ate in one typical day on the table on this page. Include how much you

ate / drank of each food or beverage in the serving size column.

2) Go back to the Math 3 website and click on the link for Calorie Tables for Different Foods (http://nutritiondata.self.com/)

3) Look up each food on your list and write down the calories. There is an option on the

website to change your serving size. If your serving size is not there, you might

have to adjust the numbers of calories accordingly.

4) Calculate your overall total for the day.

Food Serving Size Calories

Total Calories for the Day:

How does your total for the day compare to your Total Calorie Needs from the top of p.3?

_______________________________________________________________________

_______________________________________________________________________

http://nutritiondata.self.com/

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Understanding Food Labels Read the following article that describes how people often misunderstand the information listed

on food labels: Understanding Food Nutrition Labels Challenging For Many People Science Daily — In one of the most rigorous studies ever conducted to determine how well people comprehend the information provided on food nutrition labels, researchers have found that the reading and math skills of a significant number of people may not be sufficient to extract the needed information, according to an article published in the November issue of the American Journal of Preventive Medicine. Using standardized and validated tests for literacy (REALM -Rapid Estimate of Adult Literacy in Medicine) and numeracy (WRAT3 - Wide Range Achievement Test), researchers from Vanderbilt University Medical Center surveyed 200 primary care patients from a wide socioeconomic range. A Nutrition Label Survey (NLS), designed with input from registered dietitians, primary care providers, and experts in health literacy/numeracy to evaluate patient understanding of current nutrition labels, was used to measure comprehension of current food nutrition labels. One part of the NLS asked subjects to interpret food labels, such as determining carbohydrate or caloric content of an amount of food consumed. The other part asked patients to choose which of two foods had more or less of a certain nutrient, giving patients a 50/50 chance to guess the correct food item. Also, half of the survey questions involved products that were clearly labeled on their package as "reduced carb," "low carb," or designed for "a low-carb diet." Sixty-eight percent of patients had at least some college education, and 77% had at least 9th-grade level literacy skills. However, 63% of patients had less than 9th-grade numeracy skills. Over 40% had a chronic illness for which specific dietary intervention is important (e.g., hypertension, diabetes), and 23% reported being on a specific diet plan. Most patients reported using food labels and found labels easy to understand. Overall, patients correctly answered 69% (SD 21%) of the NLS questions. For example, only 32% of patients could correctly calculate the amount of carbohydrates consumed in a 20-ounce bottle of soda that had 2.5 servings in the bottle. Only 60% of patients could calculate the number of carbohydrates consumed if they ate half a bagel, when the serving size was a whole bagel. Only 22% of patients could determine the amount of net carbohydrates in 2 slices of low-carb bread, and only 23% could determine the amount of net carbohydrates in a serving of low-carb spaghetti. Common reasons for incorrect responses included misapplication of the serving size, confusion by extraneous material on the food label, and incorrect calculations. According to Russell L. Rothman, MD MPP, "The study showed that many patients struggle to understand current food labels, and that this can be particularly challenging for patients with poor literacy and numeracy (math) skills. Poor understanding of nutrition labels can make it difficult for patients to follow a good diet. Of particular concern are situations that involve interpretation and application of serving size. There are many opportunities for health care providers to improve how they talk to patients about using food labels and following diets. There are also opportunities for the FDA to improve how food labels are designed in order to improve how patients take care of their nutrition The article is "Patient Understanding of Food Labels: The Role of Literacy and Numeracy" by Russell L. Rothman, MD MPP, Ryan Housam, BS, Hilary Weiss, BS, Dianne Davis, RD CDE, Rebecca Gregory, MS RD CDE, Tebeb Gebretsadik MPH, Ayumi Shintani, PHD MPH, and Tom A. Elasy, MD MPH. The article appears in the American Journal of Preventive Medicine, Volume 31, Issue 5 (November 2006) published by Elsevier. (Note: This story has been adapted from a news release issued by Elsevier Health Sciences.) http://www.sciencedaily.com/releases/2006/09/060926072110.htm

http://www.sciencedaily.com/

http://www.sciencedaily.com/releases/2006/09/060926072110.htm

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(Source: http://www.fda.gov/food/labelingnutrition/consumerinformation/ucm078889.htm)

http://www.fda.gov/food/labelingnutrition/consumerinformation/ucm078889.htm

http://www.cfsan.fda.gov/~dms/foodlab.html







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Sample Nutrition Label #1 Serving Size 1 cup (228g)

Servings per Container 2

Amount per Serving Calories 260 Calories from Fat 120

% Daily Value*

Total Fat 13g 20%

Saturated Fat 5g 25%

Trans Fat 2g

Cholesterol 30mg 10%

Sodium 660mg 28%

Total Carbohydrate 31g 10%

Dietary Fiber 0g 0%

Sugars 5g

Protein 5g

Vitamin A 4% Vitamin C 2%

Calcium 15% Iron 4% *Percent daily values are based on a 2,000 calorie diet. Your

daily values may be higher or lower depending on your calorie

needs.

Sample Nutrition Label #2 Serving Size 1 cup (249g)

Servings per Container about 2

Amount / Serving Calories 250 Calories from Fat 110

% Daily Value*

Total Fat 12g 18%


Polyunsat. Fat 1.5g

Monounsat. Fat 2.5g

Cholesterol 60mg 20%

Sodium 940mg 39%


Dietary Fiber 1g 4%

Sugars 1g

Protein 10g




needs.

Comparing Food Labels Nutrition Background: Some of this may be common sense for you, but foods are usually considered healthier if they are:

1) Lower in Calories

2) Lower in Fat and especially Saturated Fat

3) Lower in Cholesterol

4) Lower in Sodium

5) Lower in Sugars

6) Higher in Fiber

7) Higher in Protein (not always necessary)

8) Higher in Vitamins

a. Using the two sample food labels on

this page, which one has more calories

from fat?

b. Which one has more saturated fat?

c. If you want to eat a food higher in

protein, which one would you choose?

d. Which food is higher in sodium?

e. How many calories would you be

eating if you ate the whole

container of the first food?

f. How many calories would you be

eating if you ate the whole

container of the second food?

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Butter Serving Size 1 Tbsp (15g)


% Daily Value*

Total Fat 12g 18%


Cholesterol 30mg 9%

Sodium 117mg 6%

Total Carbohydrate 0%

Protein 0g

Vitamin A 9%

Not a significant source of fiber, sugars, vitamin C,

calcium, iron, thiamin, riboflavin, and niacin. *Percent daily values are based on a 2,000 calorie diet.

Tortilla Chips Serving Size 1 oz. (28g/about 18 chips)



% Daily Value*

Total Fat 7g 11%

Saturated Fat 1g 5%

Cholesterol 0mg 0%

Sodium 135mg 6%


Dietary Fiber 2g 8%

Sugars 3g

Protein 3g




needs.

Baked Tortilla Chips Serving Size 1 oz. (28g/ about 9 chips)


Amount / Serving Calories 110 Calories from Fat 5

% Daily Value*

Total Fat 1g 1%

Saturated Fat 0g 0%

Cholesterol 0mg 0%

Sodium 200mg 8%


Dietary Fiber 2g 8%

Sugars 0g

Protein 2g




needs.

h. Vegetable Oil can be used in cooking instead of butter. Based upon the sample nutrition

labels above, give two reasons why someone might want to use Vegetable Oil instead of

butter?

i. You may have heard that baked foods are better for you. Find as many reasons as possible

why this fact is true when comparing the baked tortilla chips to the regular tortilla chips.

j. There are a couple areas where the regular tortilla chips might be considered better for you

based upon the list at the top of this activity on the previous page. List these as well.

Vegetable Oil Serving Size 1 Tbsp (14g)


% Daily Value*

Total Fat 14g 22%


Cholesterol 0mg 0%

Sodium 0mg 0%


Protein 0g

Not a significant source of fiber, sugars, vitamin C, calcium, iron, thiamin, riboflavin, and niacin. *Percent daily values are based on a 2,000 calorie diet.

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Comparing Fast Food Labels Use the following sample food labels from McDonald’s and Subway and compare their nutritional content by

answering the questions on the next page. (Source: DietFacts.com)

McD: McD:

Big Snack

Mac Wrap

McD: McD:

Medium Super

Order Size

Fries Drink

McD:

Steak

& Cheese Subway:

Bagel Chicken

Sub

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1) Which food has the most fat? What percentage of your daily value of fat comes from that food?

2) What three other qualities make this food bad for you?

3) What positive qualities does that food have (look at the list on page 9)?

4) What causes the super size drink to be so high in calories? How many grams of this nutrient are there?

5) How many calories do the medium french fries have? How many of these are from fat?

6) How many calories would you be consuming if you ate a big mac, medium fries, and a super size soda?

7) Identify the foods with the highest percentage for each:

a. Vitamin A:

b. Vitamin C:

c. Iron:

8) Compare the Snack Wrap and the six inch sub in each of the following categories. Write which one is

higher and find the difference between the two:

a. Calories

b. Calories from fat:

c. Sodium:

d. Protein:

9) At the bottom of each label there is information about ―Percent of Calories From:‖

Which food has the highest percent of calories from:

a. Fat:

b. Carbohydrates:

c. Protein:

10) Which food(s) have the lowest percent of calories from:

a. Fat:

b. Carbohydrates:

c. Protein:

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Proportions Review

In real life, two quantities can be related to each other in a constant ratio or rate. A ratio is

one thing compared to or related to another thing; it is just a statement or expression. For

example, at this school there are about 4 teachers for every 80 students. The relationship

between teachers and students is a ratio. Ratios in math can be expressed as fractions. The

ratio 4 teachers to 80 students can be expressed as 4 teachers

80 students or just

4

80 .

A proportion is two ratios that are equal to each other. For example, if there are 4 teachers

for every 80 students, there are 6 teachers for every 120 students. This proportion can be

expressed as 4 6

80 120. If you were to type each fraction into your calculator, both fractions

would have the same value. In this situation, you could also say that there is __ teacher for

every __ students.

Before we start solving problems with proportions, let’s step back and think about different

real life quantities that are in proportion. Consider the following table.

Topic 1st Quantity 2nd Quantity

1) Pets Number of Dogs Amount of Dog Food

2) Shopping Number of Items Price

3) Nutrition Calories Needed Carbohydrates Needed

4) Driving Time Distance Traveled

5) Cooking Number of Batches Cups of Sugar

6) Travel Cost in Dollars Cost in Euros

7) Jobs Number of Hours

Worked

Money Made

8) School Number Right on a Test Percent

9) Cafeteria Number of Students Pounds of Turkey to

Order

As you can see, there are many different every day

situations that involve proportions. Proportions are very

powerful in math. If you know two quantities are in

proportion, you can use a single comparison or ratio

between them to find any other comparison.

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The relationship between two variables that are in proportion can be seen in a table.

1) The hours you drive at a constant speed and the miles travel are in proportion.

Write what the given fraction in the table tells you:

Use that fraction to fill in the rest of the table.

Hours 1 2 3 4 12 20

Miles 45

2) The hours you work and the amount you are paid are in proportion.



Hours 1 2 3 4 5 6 8

Pay 45

3) The hours you rent a row boat and the rental cost are in proportion.


Use that fraction to fill in the rest of the table. Choose your own values for the last

two columns

Hours 1 2 3 4 5

Rental Cost 107.25

4) The cost of an item in dollars and its cost in euros are in proportion.



Dollars 29.80

Euros 20 35

You can see that the tables got progressively more difficult. What made them harder?

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Setting up equations We can use equations to solve proportion problems that seem more confusing. Still, it is

important to remember the principles shown in the first tables where the numbers were easier.

We will look at table 3 as an example.

Hours 1 2 3 4 5

Rental Cost 107.25

Question: If it costs 107.25 to rent a row boat for 5 hours, how much would it cost to rent a

row boat for 8 hours?

Try using an equation to solve the following proportion problems. Round to the nearest cent or

nearest whole number.

5) Let’s say the number of shirts you buy and the total cost are in proportion. If 5 shirts

cost $39.00, how much would three shirts cost?

6) If 2 gallons of gas costs $7.50, how much would 5 gallons cost?

7) If a car travels 156 miles in 3 hours, how long would it travel in 7 hours at the same

speed?

Steps:

Given Ratio:

Ratio with what you

are looking for:

Set them equal:

Cross-multiply:

Solve:

The best way to make

sure that you do not

make mistakes with

proportions is to label

the quantities in the top

(numerator) and bottom

(denominator) of the

fraction. In the

example problem to the

left, that is the hours

for the rental and the

rental cost.

~ 15 ~

8) If a person who eats 2000 calories a day needs 65 grams of fat, how much fat do you

need if you consume 2,650 calories a day?

9) If 114 grams of carbohydrates gives you 38% of your daily recommended value, how

many grams of carbohydrates would you need to eat in a day to reach the daily

recommended value (100%)?

10) If the elliptical machine says you burned 250 calories in 30 minutes, how much would you

burn in 50 minutes at the same pace?

In this unit, we will be using proportions in a number of different situations. It is important for

you to recognize when two quantities are in proportion, so you can set up the appropriate

equation to solve the problem. Remember to label the numerator and denominator of your

proportion!

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General Proportion Set-up

quantity A

quantity B

x

y

x

y: 1

1

2

2

Cross-multiply to solve!

Using Proportions to Solve Nutrition Problems (round to the nearest whole number)

When two quantities increase or decrease directly together,

we can say they are ―in proportion.‖ There are many

applications of proportions in nutrition. In this lesson, we

will look at how proportions can be used to solve problems

with food labels.

Situation: Amount/Size and Percent

1. What is the daily recommended allowance of total

fat in grams?

2. What is the daily recommended allowance of sodium

in milligrams.

3. How many medium orders of fries do you need to eat to meet the daily requirement for

carbohydrates?

4. How many medium orders of fries do you need to eat to meet the daily requirement for

iron?

5. Although situation the last two questions are important situations to consider, why might

you not want to actually eat the amounts you found for the two examples?

McDonald’s Medium Fries

~ 17 ~

Additional Items on Food Labels Some food labels contain additional nutritional information when the food is prepared. For

example, cereal labels typically include the nutritional facts for when the cereal is dry and when

you add a half a cup of skim milk. Keep in mind that this additional information would be

incorrect if you chose to use 1%, 2%, or whole milk. Use the following sample cereal and whole

milk labels to answer questions 1-8.

Sample Cereal Whole Milk

Nutrition Facts Serving size 1 cup

Amount per Serving Cereal With ½

cup of

skim milk

Calories 100 140

Calories from Fat 10 10

% Daily Value Total Fat—1g 2% 2%

Saturated Fat—0g 0% 0%

Polyunsaturated Fat— 0g

Monounsaturated Fat—0g

Cholesterol—0mg 0% 0%

Sodium—200mg 8% 11%

Potassium—50mg 1% 7%

Total Carbohydrate—23g 8% 10%

Dietary Fiber—2g 8% 8%

Soluble Fiber—0g

Sugars—10g

Other Carbohydrates—11g

Protein—3g

Vitamin A 10% 15%

Vitamin C 25% 25%

Calcium 0% 15%

Iron 25% 25%

Vitamin D 10% 25%

Thiamin 25% 30%

Riboflavin 25% 35%

Niacin 25% 25%

Vitamin B6 25% 25%

Folic Acid 25% 25%

Vitamin B12 25% 35%

Zinc 10% 15%

Nutrition Facts Serving size ½ cup

Amount per

Serving

Calories 75

Calories from Fat 35

% Daily

Value Total Fat—4g 6%

Saturated Fat—

2.5g

13%

Polyunsaturated Fat

Monounsaturated Fat

Cholesterol—17.5mg 6%

Sodium—60mg 3%

Potassium—0g

Total Carbohydrate—

6g

2%

Dietary Fiber—0mg 0%

Soluble Fiber—0mg 0%

Sugars—5.5g

Other

Carbohydrates—0mg

0%

Protein—4g

Vitamin A 3%

Vitamin C 2%

Calcium 15%

Iron 0%

Vitamin D 13%

Thiamin

Riboflavin

Niacin

Vitamin B6

Folic Acid

Vitamin B12

Zinc

~ 18 ~

Use the sample cereal and whole milk labels from the previous page to answer questions 1-8.

(If necessary, round to the nearest whole number)

1. How many calories are in a half-cup of skim milk?

2. How many more calories are there in a half-cup of whole milk than in a half-cup of skim milk?

3. Name the nutritional facts that are different for the skim milk and the whole milk. (Be

careful—make sure you subtract the cereal values from the skim milk values before comparing

them to the whole milk values.)

4. Why do you think there is no percentage listed on the ―Sugar‖ or ―Protein‖ lines of either

table?

For questions 5-8, set up a proportion to find the answers:

5. What is the recommended daily allowance of potassium in milligrams?

6. What is the recommended daily allowance of carbohydrates in grams?

7. How many cups of skim milk would you have to drink to get 100% of the daily requirement of

Vitamin A?

8. How many cups of whole milk would you have to drink to get 100% of the daily requirement of

Vitamin D?

~ 19 ~

Making Nutrition Labels A cereal label typically includes information for cereal with a ½ cup of skim milk. Not everyone uses this type of

milk, so we are going to fill in the last column of the table to include the nutritional values for this cereal with a ½

cup of whole milk.

NOTE: You are _______ milk to your cereal. Therefore, you want to _______ the whole milk amounts to the

cereal amounts.

Sample Cereal Whole Milk

1. What differences do you notice between the cereal with the cereal with skim milk and the

cereal with whole milk?

2. Name three nutrients where the type of milk does not matter.

3. What could you do to make the new cereal nutrition label even more informative?

Nutrition Facts

Serving size 1 cup

Amount per Serving Cereal With ½ cup of

skim milk

With ½ cup of

whole milk

Calories 100 140

Calories from Fat 10 10

% Daily Value

Total Fat—1g 2% 2%

Saturated Fat—0g 0% 0%

Polyunsaturated Fat— 0g

Monounsaturated Fat—0g

Cholesterol—0mg 0% 0%

Sodium—200mg 8% 11%

Potassium—50mg 1% 7%

Total Carbohydrate—23g 8% 10%

Dietary Fiber—2g 8% 8%

Soluble Fiber—0g

Sugars—10g

Other Carbohydrates—11g

Protein—3g

Vitamin A 10% 15%

Vitamin C 25% 25%

Calcium 0% 15%

Iron 25% 25%

Vitamin D 10% 25%

Thiamin 25% 30%

Riboflavin 25% 35%

Niacin 25% 25%

Vitamin B6 25% 25%

Folic Acid 25% 25%

Vitamin B12 25% 35%

Zinc 10% 15%

Nutrition Facts

Serving size ½ cup

Amount per Serving

Calories 75

Calories from Fat 35

% Daily Value

Total Fat—4g 6%

Saturated Fat—

2.5g

13%

Polyunsaturated Fat

Monounsaturated Fat

Cholesterol—17.5mg 6%

Sodium—60mg 3%

Potassium—0g

Total Carbohydrate—6g 2%

Dietary Fiber—0mg 0%

Soluble Fiber—0mg 0%

Sugars—5.5g

Other Carbohydrates—0mg 0%

Protein—4g

Vitamin A 3%

Vitamin C 2%

Calcium 15%

Iron 0%

Vitamin D 13%

Thiamin

Riboflavin

Niacin

Vitamin B6

Folic Acid

Vitamin B12

Zinc

~ 20 ~

Daily Caloric Needs for Maintaining and Losing Weight

(round to the nearest calorie)

- How much less would you need to eat each day to lose a pound per week (think about dividing

the 3,500 less calories over the days in a week)?

- How much less would you need to eat each day to lose a pound every two weeks?

- How much less would you need to eat each day to lose a pound each month (assume there are 4

weeks in a month)?

Using the information on the top of this page,

calculate the daily caloric allowance for the following

people if they want to a) maintain their current

weight, b) lose one pound per week, c) lose one

pound every two weeks, d) or lose one pound per

month.

1) A thirty-five year old man who is 5’11’’, weighs

170 pounds, and has an activity level of 1.3.

a. _______________________

b. _______________________

c. _______________________

d. _______________________

Activity Level should be between

1 and 2 according to the following

guidelines: Sedentary = 1.2 (little or no exercise, desk job) Lightly active = 1.375 (light exercise/sports 1-3 days/wk) Moderately active = 1.55 (moderate exercise/sports 3-5 days/wk) Very active = 1.725 (hard exercise/sports 6-7 days/wk) Extremely active = 1.9 (hard daily exercise/sports & physical job or 2X day training, i.e marathon, contest etc.)

A pound is equal to 3, 500 calories!

Formulas for Daily Caloric Requirements for Maintenance: Males: (66 + weight in lbs. x 6.23 + height in in. x 12.5 – age x 6.8) x activity level

Females: (665 + weight in lbs. x 4.63 + height in in. x 4.625 – age x 4.7) x activity

level

Converting to Inches: feet 12 inches

~ 21 ~

2) A twenty-five year old woman who is 5’7’’, weighs 140 pounds, and has an activity

level of 1.6.

a. _______________________

b. _______________________

c. _______________________

d. _______________________

3) A seventy year old man who is 5’5’’, weighs 140 pounds, and has an activity level of

1.1.

a. _______________________

b. _______________________

c. _______________________

d. _______________________

4) A forty-three year old woman who is 5’2’’, weighs 160 pounds, and has an activity

level of 1.2.

a. _______________________

b. _______________________

c. _______________________

d. _______________________

5) An eighteen year old man who is 6’2’’, weighs 195 pounds, and has an activity level

of 1.8.

a. _______________________

b. _______________________

c. _______________________

d. _______________________

6) Calculate YOUR daily caloric requirement using YOUR weight in pounds_____,

height in inches_____, age_____, and activity level_____.

a. _______________________

b. _______________________

c. _______________________

d. _______________________

e. What do you think you would do if you wanted to find out how many calories you

would need to eat in order to gain a pound in a week?

~ 22 ~

Daily Caloric Needs

& The Factors That Affect It As you learned in the last lesson, there are formulas that we use to calculate daily calorie

requirements for males and females. You should have noticed that there are 4 factors that

affect the daily calorie requirements: weight, height, age, and activity level.

1. How many calories would YOU need to consume each day in order to maintain your current

weight? (Note: it’s the same answer as you found for question 6a on p.21) ______________

2. In the following table, calculate YOUR daily caloric requirements at DIFFERENT AGES.

(Keep your weight, height, and activity level the SAME.)

Age 15 20 25 30

Calories

Age 35 40 45 50

Calories

3. Use the table above to construct a line graph to show how age affects daily calorie

requirements.

Formulas for Daily Caloric Requirements for Maintenance: Males: (66 + weight in lbs. x 6.23 + height in in. x 12.5 – age x 6.8) x activity level

Females: (665 + weight in lbs. x 4.63 + height in in. x 4.625 – age x 4.7) x activity level

~ 23 ~

4. In the following table, calculate YOUR daily caloric requirements at DIFFERENT WEIGHTS.

(Keep your height, age, and activity the SAME.)

Weight in Pounds 75 100 125 150

Calories

Weight in Pounds 175 200 225 250

Calories

5. Use the table above to construct a line graph to show how weight affects daily calorie

requirements.

6. How do you think your height would affect your daily calorie requirements?

As height increases, daily calorie requirements __________________________.

7. How do you think your activity level would affect your daily calorie requirements?

As activity level increases, daily calorie requirements ______________________.

~ 24 ~

Calculating YOUR Daily Allowance Values

To Create Personalized Food Labels

Finding YOUR Daily Allowance Values Daily Allowance: The recommended amount of a certain nutrient a person should eat each in a

day.

Daily Caloric Allowance on most food labels: 2000 calories

From the previous activity, what is your Daily Caloric Allowance? _________

In this activity, we are going to use these two numbers to calculate your daily allowances for

certain nutrients. We will use another proportion to complete this task because the number of calories you need and the amount of each nutrient you need are in proportion. (If necessary,

round to the nearest whole number.)

1) Calculate your daily allowance for total fat if the daily recommended amount for a 2,000

calorie diet is 65 grams.

2) Calculate your daily allowance for saturated fat if the daily recommended amount for a

2,000 calorie diet is 20 grams.

3) Calculate your daily allowance for cholesterol if the daily recommended amount for a

2,000 calorie diet is 300 milligrams.

Another nutrition proportion: Size/Amount of Nutrient and Daily Caloric Needs

grams / milligrams

caloric needs

2,000 calorie diet amount

2000 calories

your amount

your daily calories:

~ 25 ~

4) Calculate your daily allowance for carbohydrates if the daily recommended amount for a


5) Calculate your daily allowance for dietary fiber if the daily recommended amount for a


6) Calculate your daily allowance for sodium if the daily recommended amount for a 2,000

calorie diet is 2400 milligrams.

7) Calculate your daily allowance for protein if the daily recommended amount for a 2,000

calorie diet is 63 grams.

Record your answers for 1-7 in the textboxes on the top of the next two pages so you can use

them in the next activity.

~ 26 ~

Creating Personalized Food Labels

Summary of Your Results from p. 24-25 Nutrient Your Daily Allowance

Total Fat

Saturated Fat

Cholesterol

Total Carbohydrates

Dietary Fiber

Sodium

Protein

Use your daily allowance values and the McDonald’s Big Mac food label to find your percent daily

values. Use the section at the bottom of the page for calculations. Then use these percents to

complete the table at the right and make a personalized food label for a McDonald’s Big Mac

with no cheese. (Source: Dietfacts.com)

Big Mac with No Cheese

Calculations:

Total Fat: Total Carbohydrates:

Saturated Fat: Dietary Fiber:

Cholesterol: Protein:

Sodium:

Your % DV

Total Fat:

Saturated Fat:

Cholesterol:

Sodium:

Total Carbohydrate:

Dietary Fiber:

Protein:

Percent General Formula

%part

whole100 .

In this case, the part is

______________ and the whole is

________________.

Therefore, the formula is

%

100

~ 27 ~

Summary of Your Results from p. 24-25 Nutrient Your Daily Allowance

Total Fat

Saturated Fat

Cholesterol

Total Carbohydrates

Dietary Fiber

Sodium

Protein

Use your daily allowance values and the Subway 6-inch Chicken Sub food label to find your

percent daily values. Use the section at the bottom of the page for calculations. Then use

these percents to complete the table at the right and make a personalized food label for a

Subway 6-inch Chicken Sub with no cheese. (Source: Dietfacts.com)

Subway 6-inch Chicken Sub with No Cheese

Calculations:

Total Fat: Total Carbohydrates:

Saturated Fat: Dietary Fiber:

Cholesterol: Protein:

Sodium:

Your % DV

Total Fat:

Saturated Fat:

Cholesterol:

Sodium:

Total Carbohydrate:

Dietary Fiber:

Protein:

Percent General Formula

%part

whole100 .

In this case, the part is

______________ and the whole is

________________.

Therefore, the formula is

%

100

~ 28 ~

Calories Burned While Running One of the responsibilities of a personal trainer is to help clients determine how many calories he or she

will burn while running, based upon weight and distance. Use the following formula to answer questions 1-

10: (Round to the nearest tenth of a mile, nearest calorie or nearest pound.)

1. Lisa weighs 125 pounds. How many calories will she burn running 4 miles on a flat surface?

2. Jonathan wants to burn 500 calories each time he runs. If he weighs 160 pounds, how far should he

run during his workout?

3. Kyle weighs 163 pounds. How many calories per mile (1 mile) will be burn while running?

4. Nicholas weighs 225 pounds. How many calories will he burn on a five mile run?

5. Mary weighs 114 pounds. She burned 572 calories in her run yesterday. How far did she run?

6. Paula weighs 128 pounds. How many calories would she burn running one mile running on a flat

surface?

7. Suzie weighs 132 pounds. How many calories did she burn in a 3-mile run?

8. Tyler weighs 192 pounds. If he burned 810 calories in his run, how far did he run?

9. In yesterday’s workout, Will ran 9.33 miles. You calculated that he burned 1,050 calories. How much

does Will weigh?

10. How many calories would YOU burn in a 1 mile run?

Formula: C W D(. . )7386 125

Variables: C=total calories burned W=weight in pounds D=distance in miles

~ 29 ~

Calories Burned With Different Exercises In order to calculate how many calories you would burn with various exercises, use the following

table to determine how many calories would be burned per pound per minute. Then multiply that

rate by the weight of the individual and the number of minutes the activity was performed.

(Do not round your answers. We want this calculation to be as accurate as possible.)

Estimates of calories burned per pound per minute:

Sitting still .009 calories

Cooking .022 calories

Raking leaves or carpentry .025 calories

Grocery shopping or fishing .028 calories

Swimming (20 yards/min): .032 calories

Tennis (recreational): .032 calories

Weeding .033 calories

Walking (17 min. mile): .035 calories

Weight Training .042 calories

Golf (carrying clubs): .045 calories

Walking (13-minute mile): .048 calories

Bicycling (15 mph; 4 min. mile): .049 calories

Mowing the lawn .051 calories

Running (12-minute mile): .061 calories

Aerobic dance: .062 calories

Swimming (50 yards/min): .070 calories

Handball: .078 calories

Running (9-minute mile) .087 calories

Basketball (full court, vigorous): .097 calories

Rowing (vigorous): .097 calories

Soccer (vigorous): .097 calories

Cross-country skiing (8 mph): .104 calories

Running (6-minute mile) .115 calories

Bicycling (25 mph; 2.4-minute mile): .139 calories

http://heart.kumu.org/calories.html

~ 30 ~

1. Let’s say you weigh 150 pounds and you are walking at a rate of 3.5 mph.

How many calories would you burn per minute?

How many calories would you burn if you walked for one hour?

2. Let’s say you weigh 150 pounds and you played golf (and carried your clubs) for 2 hours

yesterday. Calculate the total calories you burned yesterday?

In the following activity, choose the five exercises you are most likely to do as well as the

length of time you would most likely do that activity. Calculate how many calories you would

burn during that time period.

Activity Name

Activity Rate

from the

Table on p. 29

Your Weight (Pounds)

Duration of

Activity

(Minutes)

Total Calories

Burned

Ex.

1)

2)

3)

4)

5)

Formula Used to Calculate Calories Burned With Different Exercises:

Calories = rate x weight x minutes

~ 31 ~

Exercise and Target Heart Rate

In addition to calculating the calories burned while exercising, personal trainers should also help

clients determine if the intensity of their workout is appropriate. One way to test this is by

calculating target heart rates, based on age, resting pulse rate, and exercise fitness level. Use

the Karvonen formula to complete this activity on target heart rates:

Let’s determine your resting pulse rate. Since we’re not trained in finding pulse rates, we’re

going to find the number of heart beats in 10 seconds then multiply it by 6 to get the number of

heart beats per minute. We will try this 3 times and take the average heart rate per minute.

First, put your head down & try to relax for a short while.

Then, find your pulse on your neck or wrist and follow your teacher’s instructions to find

the number of heart beats in 10 seconds. Record each trial in column 2 of the following

table:

Heart Beats

per 10 seconds

Heart Beats

per minute

(Multiply column two by 6)

Trial #1

Trial #2

Trial #3

Then complete the table by multiplying the heart beats per 10 seconds by 6 to find the

heart beats per minute.

Find the average heart rate per minute and record it here: __________

Target Heart Rate = (220 – age – resting pulse rate) × (fitness level) + (resting pulse rate)

~ 32 ~

Use the target heart rate formula and your resting pulse rate from the text box above to

answer questions 1-5. (If necessary, round to the nearest whole number.)

1. Based on your current age, calculate your target heart rate for the following fitness levels

and record your answers in the following table:

Fitness Level Beginner: 0.6 Average: 0.7 High: 0.8

Target Heart Rate

2. Construct a bar graph to show how fitness levels affect target heart rate:

Target Heart Rate vs. Fitness Level

for a ______ Year Old with an RPR of ____

Target Heart Rate = (220 – age – resting pulse rate) × (fitness level) + (resting pulse rate)

Your Resting Pulse Rate (from the bottom of p.32): __________

~ 33 ~

3. As you age, your target heart rate will change. Calculate how your target heart rate might

change over the next 30 years and record your answers in the following table. (Assume your

fitness level is average: 0.7)

Age 15 20 25 30 35 40 45

Target

Heart

Rate

4. Construct a line graph to show how age affects target heart rate:

Target Heart Rate vs. Age

for a 15 – 45 Year Old with an RPR of ____

and an Average Fitness Level of 0.7

5. As you age, what other factors might you take into consideration regarding your target

heart rate?

~ 34 ~

Tortilla Chips Serving Size 1 oz. (28g/about 18 chips)



% Daily Value*

Total Fat 7g 11%

Saturated Fat 1g 5%

Cholesterol 0mg 0%

Sodium 135mg 6%


Dietary Fiber 2g 8%

Sugars 3g

Protein 3g




needs.

Nutrition Practice

1) According to the label to the left, what is the

daily recommended value of carbohydrates for a

2,000 calorie diet?

2) How many servings of tortilla chips would a

person have to eat to get 100% of their dietary

fiber?

3) For question #2, how many chips would that be?

4) Using the formula below, how many calories does a 165-pound, twenty-eight year old male

who is 5’8’’ need to eat if he has an activity level of 1.7?

Daily Calorie Requirements for Males:

(66 + weight in lbs. x 6.23 + height in in. x 12.5 – age x 6.8) x activity level

5) Using the daily caloric needs from the previous question as well as your answer to question

#1, how many grams of carbohydrates does he need to eat in a day?

6) Using your answer to the previous question, what percent of his total carbohydrates for

the day does he get from one serving of the tortilla chips?

Documents

Unit 8 Math & Nutrition · 2017. 5. 18. · ~ 1 ~ Online Nutrition Calculators 1. Body Mass Index & Daily Calorie Calculator Go to your teacher’s webpage and Math 3 projects. Find