Meeting 4 Student’s Booklet
Staying Healthy
May 3
2017
@ UCI
Contents
1
Exercising
STUDENT'S BOOKLET
2 Sugary drinks
3 A Balanced Dinner
4 Nutrients
UC IRVINE MATH CEO
http://www.math.uci.edu/mathceo/
1 EXERCISING
UCI Math CEO
• Meeting 4 (MAY 3
2017)
2
1 EXERCISING
Our Goals:
Calculate percentages of a total
Given a percentage of a total, calculate the
corresponding value
Discuss in your group
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?
Why Exercise?
1. Boost your happiness
2. Learn to set and achieve goals
3. Reduce your risk of heart disease
4. Sleep better
5. Get an energy boost
6. Increase strength and flexibility
7. Improve memory
8. Increase self-confidence
9. Perform better at school
10. Become resistant to disease
11. Live longer
3 EXERCISING
UCI Math CEO
BURNING CALORIES
Children age 6 or older need at least 1 hour of
exercise a week. Exercise is good because:
- Makes strong muscles and bones
• Meeting 4 (MAY 3
2017)
Time
period
Calories
burned
30 min
42
Walking
30 min
80
Running
10 min
115
30 min
200
1 min
10
Activity
Playing
Video
Games
- 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
a
Fill the last column of the table
shown. Which activity makes you
burn the most calories (per minute)?
Dancing
b
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?
Jumping
Rope
3
Cal /
min
2 SUGARY DRINKS
UCI Math CEO
• Meeting 4 (MAY 3
2017)
2 SUGARY DRINKS
Our Goals:
Practice conversions using ratios, and compare different ratios
Use ratios and proportionality to generate new information
Discuss in your group
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?
4
2 SUGARY DRINKS
UCI Math CEO
• Meeting 4 (MAY 3
2017)
5
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)
a
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 ………………….
2 SUGARY DRINKS
UCI Math CEO
• Meeting 4 (MAY 3
2017)
How many teaspoons of sugar are contained in a 8 oz glass of each of these drinks?
6 tsp
4g
8 oz
One teaspoon of
sugar equals to 4g.
Drink
Sugar in a
16oz bottle
Sugar in a
8oz glass
Sugar in a
20oz bottle
Minute Maid orange juice
48g
24g
60g
Starbucks caramel frappuccino
64g
Red Bull energy drink
Grape juice
3.5g per once
72g
Sobe Mango Melon
70g
Apple Juice or Coke
Whole Milk
Concentration of sugar
(grams per ounce)
26g
20g
6
3 A BALANCED DINNER
UCI Math CEO
• Meeting 4 (MAY 3
2017)
3 A BALANCED DINNER
Our Goals:
Set up expressions representing real-life quantities, using variables
Use sum and multiplication to compute quantities in a real-life context
Discuss in your group
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?
7
3 A BALANCED DINNER
UCI Math CEO
• Meeting 4 (MAY 3
3 A BALANCED DINNER
Energy source for food
Amount 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 ?
2017)
8
3 A BALANCED DINNER
UCI Math CEO
c
DINNER TIME
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
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.
P
C
• Meeting 4 (MAY 3
How many calories
did you consume in
total?
Fat:
F
9x
Carbs: 4 x
Prot.:
d
9
2017)
4x
Discuss: How balanced Is this meal, according to
the percentages recommended for these? Make a
Pie chart or a bar diagram to compare these.
3 A BALANCED DINNER
UCI Math CEO
• Meeting 4 (MAY 3
10
2017)
DINNER TIME
e
If you consume F grams of Fat (F is a number),
how many calories do you consume?
f
If you consume F grams of Fat, C grams of
Carbs and P grams of protein, how many
calories do you consume in total?
Fat:
9x
Carbs: 4 x
Prot.:
g
Come 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.
4x
4 NUTRIENTS
UCI Math CEO
• Meeting 4 (MAY 3
2017)
11
4 NUTRIENTS
Our Goals:
Convert from percentages to absolute values and vice versa
Compare and interpret different data given in tables
Discuss in your group
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?
4 NUTRIENTS
4 NUTRIENTS
UCI Math CEO
• Meeting 4 (MAY 3
2017)
12
⦿ 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.
Are You eating Enough Nutrients?
⦿ Choose 2 nutrients (fiber, protein, iron or vitamin C), find the
⦿ 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.
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.
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
Example: A meal with 50% DI of protein has 25g of protein.
An apple contains 1g of protein.
What percentage of your daily
intake of protein do you obtain by
eating an apple?
4 NUTRIENTS
• Meeting 4 (MAY 3
UCI Math CEO
2017)
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%
4 NUTRIENTS
UCI Math CEO
• Meeting 4 (MAY 3
2017)
LUNCH ( 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%
4 A BALANCED DIET
UCI Math CEO
• Meeting 4 (MAY 3
2017)
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%
4 A BALANCED DIET
UCI Math CEO
• Meeting 4 (MAY 3
2017)
DINNER ( Choose one option)
Choices
Calories (cal)
Protein (g)
Fiber (g)
Iron
Vitamin C
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%
4 Nutrients
UCI Math CEO
• Meeting 4 (MAY 3
2017)
DRINKS ( Choose 2 options)
Choices
Calories (cal)
Protein (g)
Fiber (g)
Iron
Vitamin C
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%