booklet 20 full - uci mathematics€¦ · may 3 2017 @ uci meeting 4 student’s booklet staying...

May 3 2017 @ UCI

Meeting 4 Student’s Booklet

Staying Healthy

1 Exercising

2 Sugary drinks

3 A Balanced Dinner

4 Nutrients

Contents

UC IRVINE MATH CEOhttp://www.math.uci.edu/mathceo/

STUDENT'S BOOKLET

(a) Match

5 4.5

1 EXERCISING

Do you exercise? How often? Which activities do you do?If I ate a brownie (132 calories) and I want to burn 75% of its calories, how many calories should I burn?Loren wants to be healthy and decides to work out. During an 50 minute interval, she runs for 41 minutes. What percentage of the time did she run?

Discuss in your group

Our Goals: Calculate percentages of a totalGiven a percentage of a total, calculate the corresponding value

2UCI Math CEO • Meeting 4 (MAY 3 2017)1 EXERCISING

Why Exercise?1. Boost your happiness2. Learn to set and achieve goals3. Reduce your risk of heart disease4. Sleep better5. Get an energy boost6. Increase strength and flexibility7. Improve memory8. Increase self-confidence9. Perform better at school10. Become resistant to disease11. Live longer

Children age 6 or older need at least 1 hour of exercise a week. Exercise is good because:

- Makes strong muscles and bones- Decreases the risk of developing diabetes- Lowers blood pressure and blood cholesterol levels- Makes you feel more optimistic about life- Helps burning calories and keep the body lean

UCI Math CEO • Meeting 4 (MAY 3 2017)3 EXERCISING

Fill the last column of the table shown. Which activity makes you burn the most calories (per minute)?

BURNING CALORIES ActivityTime

periodCalories burned

Cal / min

Playing Video Games 30 min 42

Walking 30 min 80

Running 10 min 115

Dancing 30 min 200

Jumping Rope 1 min 10

Hi Andres,

One of the mentors was concerned that talking about limiting calories may induce eating disorders, so we should try to focus more in healthy tips than on nutrition itself. I think the booklet s actually doing that pretty well, but we may try even harder.

Do you want to put this problem first?

Also, since we were supposed to do percentages, do you want to include a sentence like “a full chocolate cake has …. calories”. What percentage do you burn with these activities? I think we may fit an extra column in the table.

I totally agree with this. Its more about promoting healthy food with nutrients.

Hi Andres, my internet is incredibly slow. I can’t even manage to email Ana. Everything takes 10 times more than it should. I will continue from the office tomorrow after my class. The drawings are gorgeous. We need to pull them out on a big page. I think this material is coming out beautiful. I love all the healthy tips.

a

Suppose that you spend 2 hours like this: 20% playing video games, 30% dancing and the rest of the time walking. How many calories will you burn?

b

3

(a) Match

5 4.5

2 SUGARY DRINKS

Which things you notice when you drink too much of a sugary drink?

If a drink has 10g of sugar in a 16 oz cup, how many grams of sugar does it have in a 12 oz cup?

Which has a smaller concentration of sugar: a 12 oz cup with 18g of sugar, or a 8 oz cup with 14g of sugar?


Our Goals: Practice conversions using ratios, and compare different ratiosUse ratios and proportionality to generate new information

4UCI Math CEO • Meeting 4 (MAY 3 2017)2 SUGARY DRINKS

UCI Math CEO • Meeting 4 (MAY 3 2017)2 SUGARY DRINKS

2 SUGARY DRINKS

According to the American Heart Association (AHA), the maximum amount of added sugars you should eat in a day are (7): Men: 150 calories per day (37.5 grams or 9 teaspoons). Women: 100 calories per day (25 grams or 6 teaspoons).

Sugar is bad for you a because it has calories, and because if you have diabetes or a diabetes-related condition — like high blood fat levels — then having sugar will increase your blood sugar and your triglycerides, a risk factor for heart disease. (Triglycerides are a type of fat in the blood.)

When we look at the types of foods that are high in added sugar, they often are not high in nutrition. So eating a lot of sugar is a general indication that maybe you aren't eating as healthy of a diet as you could.

Sugar does one of two things. It either displaces more nutritious foods in your diet, which means you're screening out nutritious-dense foods, or it adds calories to your diet. So if you're adding calories on top of an already nutritious diet that puts you at risk for weight gain.

(Taken and adapted from www.livescience.com/36188-sugar-bad.html)

Predict: How many teaspoons of sugar are in the following drinks? (1 glass = 8 oz = 120 ml)

1 glass of water ………………………

1 glass of Coke………………………...

1 glass of Minute Maid orange juice....

1 glass of whole milk ………………….

a

5

UCI Math CEO • Meeting 4 (MAY 3 2017)2 SUGARY DRINKS

Drink Sugar in a16oz bottle

Sugar in a8oz glass

Sugar in a20oz bottle

Concentration of sugar (grams per ounce)

Minute Maid orange juice 48g 24g 60g

Starbucks caramel frappuccino 64g

Red Bull energy drink 3.5g per once

Grape juice 72g

Sobe Mango Melon 70g

Apple Juice or Coke 26g

Whole Milk 20g

How many teaspoons of sugar are contained in a 8 oz glass of each of these drinks?

8 oz

4 g6 tsp

One teaspoon of sugar equals to 4g.

6

(a) Match

5 4.5

3 A BALANCED DINNER

Can you give examples of fat, protein and carbohidrates?

If A represents the number of grapes I ate and B represents how many calories each grape has, what does A x B represent?

If A represents the total of pistachios in a Jar before we ate some, B represents the total you ate, and C represents the total I ate, how can we represent the number of pistachios that remain?


Our Goals: Set up expressions representing real-life quantities, using variablesUse sum and multiplication to compute quantities in a real-life context

7UCI Math CEO • Meeting 4 (MAY 3 2017)3 A BALANCED DINNER

UCI Math CEO • Meeting 4 (MAY 3 2017)3 A BALANCED DINNERWe can change the numbers1) For Dinner you had 25 g of fat, 75

g of carbohydrate, and 65 g of protein.

A. How many calories did you consume?B. Is your answer for part A correct? If so, why? To double check your work look at the nutrition label and compare your answer from part A? Is it correct if so explain? C How does this balance of nutrients compare to the percents recommended for thesemacronutrients in a healthy daily diet?D Write a formula showing the total calories that a person has eaten based on thenumber of grams of each macronutrient he/she eats.

Energy source for foodAmount of Calories for Macronutrients

Energy Source(Macronutrient)

Calories per gram (cal/g)

Carbohydrates 4 cal/g

Protein 4 cal/g

Fat 9 cal/g

We get energy from food we eat! Calories = Energy

a If a person consumes 10 grams of Fat, how many calories does he consume? And if he consumes 20g of fat?

b What has more calories: (i) 5 grams of fat, or (ii) 3 grams of protein + 7 grams of carbs ?

3 A BALANCED DINNER

8

UCI Math CEO • Meeting 4 (MAY 3 2017)3 A BALANCED DINNER

DINNER TIME

We can change the numbers1) For Dinner you had 25 g of fat, 75



For dinner, you ate 1 Banana, 1 Sandwich and 1 Yogurt. Their fat, carb and protein amounts are in the table below:

Food Fat Carbs Protein

1 Banana 0g 30g 1g

1 Sandwich 20g 25g 12g

1 Yogurt 8g 17g 2g

c How many calories did you consume in total?

d Discuss: How balanced Is this meal, according to the percentages recommended for these? Make a Pie chart or a bar diagram to compare these.

Government-recommended guidelines for calories intake: 30% max. from fat, 60% from carbohydrate, and 10% from protein.

Note: nutrition guidelines apply to daily caloric intake rather than for a specific meal.

9

Fat: 9 xCarbs: 4 x

Prot.: 4 x

P F

C

UCI Math CEO • Meeting 4 (MAY 3 2017)3 A BALANCED DINNER

DINNER TIME

We can change the numbers1) For Dinner you had 25 g of fat, 75



e If you consume F grams of Fat (F is a number), how many calories do you consume?

fIf you consume F grams of Fat, C grams of Carbs and P grams of protein, how many calories do you consume in total?

gCome up with a plan saying how many grams of each nutrient to consume each day to obtain around 2,000 calories and do it in a balanced way according to Health Recommendations.

10

Fat: 9 xCarbs: 4 x

Prot.: 4 x

(a) Match

5 4.5

4 NUTRIENTS

What is a nutrient? Can you name some that you know?

5 kids contributed bringing nutritious fruits, and each brought the same amount. What percentage of the total did each kid bring?

Of the recommended 50g daily protein, I ate 15% of it in the morning and 55% of it in the afternoon. How many grams should I eat at night to get to achieve the Daily Take recommendation?


Our Goals: Convert from percentages to absolute values and vice versaCompare and interpret different data given in tables

UCI Math CEO • Meeting 4 (MAY 3 2017)4 NUTRIENTS 11

UCI Math CEO • Meeting 4 (MAY 3 2017)4 NUTRIENTS

4 NUTRIENTS

Recommended Daily Intake (DI)

Calories Energy 2,000 cal.

Protein Build muscles, bones, etc. Repair tissue 50g

Fiber Helps in digestion, lowers cholesterol 25g

Iron Healthy blood (prevents Anemia) 18mg

Vitamin C Boosts defenses, good skin 60mg

⦿ Count the calories. Are you staying below the recommended 2.000 calories per day? But calories are not the only concern. Also make sure to get enough nutrients.

⦿ Choose 2 nutrients (fiber, protein, iron or vitamin C), find the number of grams that you obtain, and and check if you are getting enough, according to the Daily Intake.

⦿ You may use a calculator during this problem if needed.

An apple contains 1g of protein.

What percentage of your daily intake of protein do you obtain by

eating an apple? Example: A meal with 50% DI of protein has 25g of protein.

Are You eating Enough Nutrients?

⦿ Select your food for a day, from the options given in the next pages. Include 3 meals per day (breakfast, lunch and dinner), plus 2 snacks and 2 drinks.

12

Nutrients

Nutrients Recommended Daily Intake

Calories 2,000 cal.

Protein 50g

Fiber 25g

Iron 18mg

Vitamin C 60mg

BREAKFAST ( Choose 1 option)

Choice Calories (cal) Protein (g) Fiber (g) Iron Vitamin C

1. Cheerios w/ Milk 255 2 2 35% 7%

2. Egg & Bacon sandwich 350 21 2 17% 3%

3. 2 Pancakes with maple syrup 520 8 2 15% 6%

4. Oatmeal (Fruit & maple) 220 6 4 77% 0%


Hi Andres,

I have a small note for you on slide 17.

Also, I wanted to mention that I made color copies of the first page of our booklet for parents, so please let Ana know not to worry about a cover for that.

In my office I have cards and dice if they need them for prizes.

ok sounds good

Problem 1 already talks about protein. Do you want me to remove the protein column from here? (This is if you think it is still too much)

I like very much that you put the information about what every nutrient is needed for in the previous page.

Nutrients

Nutrients Recommended Daily Intake

Calories 2,000 cal.

Protein 50g

Fiber 25g

Iron 18mg

Vitamin C 60mgLUNCH ( Choose one option)

Choice Calories (cal) Protein (g) Fiber (g) Iron Vitamin C

1. Pizza (2 Slices) 520 18 3.6 30% 4%

2. Taco (2 taco) 330 16 6 10% 2%

3. Salad w/ dressing 96 0 2 8% 120%

4. Nachos & Salsa (1 cup) 263 5 3.6 5% 0%

5. Chicken Cheese Quesadilla 520 27 3 17% 0%

6. Tuna Sandwich 410 17 8 6% 0%


SNACK ( Choose two options)

Choices Calories (cal) Protein (g) Fiber (g) Iron Vitamin C

1. Apple 95 0 5 1% 14%

2. Banana 105 1 3 17% 1%

3. Granola Bar 210 4 3 8% 0%

4. Vanilla Yogurt 170 5 0 0% 15%

5. Grandma Cookie 190 2 2 15% 0%

6. Ant on a log (celery, PB w/ choc. chips) 140 4 2 0% 0%

UCI Math CEO • Meeting 4 (MAY 3 2017)4 A BALANCED DIET

DINNER ( Choose one option)


PB & J Sandwich 280 6 2 6% 0

Hot Dog on Bun with ketchup/ Mustard 290 10 1 12% 2%

Spaghetti (1 cup) 421 20 0 0% 0%

Salad & Grilled chicken w/dressing 230 22 2 6% 23%

Rice with Beans & chicken (1 cup) 390 25 5 1% 25%

UCI Math CEO • Meeting 4 (MAY 3 2017)4 A BALANCED DIET

DRINKS ( Choose 2 options)


Orange Juice (1 cup) 111 2 0 2% 206%

Apple Juice(1 cup) 115 1 1 0% 3%

Chocolate Milk (1 cup) 210 5 2 3% 3%

Soda (1 can) 120 0 0 0% 0%

Water 0 0 0 0% 0%

UCI Math CEO • Meeting 4 (MAY 3 2017)4 Nutrients

booklet 20 full - uci mathematics€¦ · may 3 2017 @ uci meeting 4 student’s booklet staying...

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