Chapter 2: Your Body, Your Food

Chapter Introduction

In Grade 6, you learned what a calorie is. You memorized the calorie counts of common foods and activities. You learned how to add up a day's energy balance — calories in minus calories out — on paper.

That was the foundation. This chapter builds on it.

You are now 12 or 13 years old. Your math skills have grown. You can multiply, divide, and work with fractions. The Bear is going to use those skills to teach you a more powerful set of calorie tools.

You will learn calorie density — calories per gram, calories per serving, calories per dollar. Once you understand this, you will see immediately why an apple and a candy bar are completely different even when they have similar calorie counts.

You will learn the macronutrient math. Every gram of protein has 4 calories. Every gram of carbohydrate has 4 calories. Every gram of fat has 9 calories. From these three numbers, you can calculate the macronutrient profile of any meal on Earth.

You will learn real label math — how to do the multiplication that food companies are betting you won't do. (A label might say "150 calories per serving," but if the package contains 2.5 servings and you ate the whole package, your real number is 150 × 2.5 = 375 calories.)

You will learn how to compare two meals on paper. Same calories, very different value. The Bear teaches you to see what's actually happening.

The Bear is direct about why this matters. Most adults in this country never learn this math. They eat what marketing tells them to eat. They get the calorie counts wrong by hundreds. They have no way to tell a good food choice from a bad one except by guessing. You are going to do better. You are going to know.

This chapter has four lessons. Lesson 1 is calorie density. Lesson 2 is macronutrient math. Lesson 3 is label-reading multiplication. Lesson 4 is the comparison exercise — building two meals side by side.

Begin.

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Lesson 2.1: Calorie Density

Learning Objectives

By the end of this lesson, you will be able to:

• Define calorie density in three ways: calories per gram, calories per serving, and calories per dollar
• Identify foods that are high vs. low in calorie density
• Calculate calorie density from a label (calories ÷ grams)
• Compare two foods on the basis of calorie density
• Understand why two foods with the same calories can have very different impacts on hunger and fullness

Key Terms

Three Ways to Measure Density

Calorie density is a way of asking: how packed with calories is this food?

You can measure calorie density in different ways depending on what you want to compare.

1. Calories per gram. This is the most precise measurement. A food's grams (its weight) divided into its calories.

• 1 gram of butter has about 7 calories
• 1 gram of almonds has about 5.5 calories
• 1 gram of plain pasta has about 1.3 calories (after cooking, with water absorbed)
• 1 gram of an apple has about 0.5 calories
• 1 gram of cucumber has about 0.16 calories
• 1 gram of broccoli has about 0.35 calories

That's a 40× difference between butter and cucumber. Same gram. Hugely different calorie loads.

2. Calories per serving. This is what food labels show you. It tells you the calories in one standard-size portion. Useful for comparing similar foods.

• 1 cup of broccoli: about 55 calories
• 1 cup of cooked pasta: about 220 calories
• 1 cup of olive oil: about 1,910 calories (yes, really)

3. Calories per dollar. This is how much energy you get for your money. Important for food budgets.

• $1 of dried beans: roughly 1,500-2,000 calories
• $1 of rice: roughly 2,500 calories
• $1 of eggs (at $4/dozen): about 200 calories
• $1 of chicken breast (at $5/lb): about 150 calories
• $1 of spinach: about 50 calories (low calories per dollar — but very nutrient-dense)
• $1 of premium ice cream: about 250 calories
• $1 of candy: roughly 200-400 calories

Notice that different ways of measuring give different answers. Spinach has very low calories per dollar (because it has so few calories at all), but it's one of the most nutrient-dense foods you can buy. Butter has very high calories per gram, but a tablespoon of butter is only 100 calories. Each way of measuring tells you something different.

Calculating Calorie Density from a Label

Most food labels make this easy. Look at the Nutrition Facts panel.

Find:

• Calories per serving (a big number, near the top of the panel)
• Serving size in grams (right under "Serving Size," in parentheses)

Divide: calories ÷ grams = calories per gram.

Example 1: Whole-wheat bread. Label says: Calories 80, Serving Size 1 slice (28g). 80 ÷ 28 = 2.86 calories per gram.

Example 2: Potato chips. Label says: Calories 150, Serving Size 1 oz (28g). 150 ÷ 28 = 5.36 calories per gram. Almost twice the bread.

Example 3: A "healthy" granola bar. Label says: Calories 190, Serving Size 1 bar (35g). 190 ÷ 35 = 5.43 calories per gram. About the same as potato chips, even though the front of the box says "healthy."

Example 4: An apple. Apples don't come with labels, but their density is well known. A medium apple is about 150g and 80 cal. 80 ÷ 150 = 0.53 calories per gram. Much lower than bread or chips.

The math is simple. Calories divided by grams. You can do this with any packaged food in your kitchen.

Why This Matters for Hunger and Fullness

Here's the practical reason calorie density matters: high-calorie-density foods do not fill you up the way low-calorie-density foods do.

Researchers have studied this carefully [1]. When people eat foods with high calorie density (oils, butter, nuts, snack foods, candy), they tend to take in many calories before their body sends a fullness signal. When people eat foods with low calorie density (vegetables, fruits, broth-based soups, lean proteins), they fill up faster — often eating fewer total calories before feeling satisfied.

This is partly about volume. Your stomach has rough stretch receptors that send fullness signals based on how much space the food takes up, not on how many calories it contains [2]. A meal with lots of low-density foods physically fills your stomach with fewer calories.

A real example: 300 calories of strawberries is about 4 cups. That much fruit takes a long time to chew and physically fills your stomach. You feel very full afterward. 300 calories of butter is about 2.5 tablespoons. You can swallow that in seconds. You barely feel it.

This is why ultra-processed foods (which tend to be calorie-dense) are linked in research to higher total daily calorie intake. People eat more of them before their body says "stop" [3]. The Bear wants you to know this so you can spot it happening in your own eating.

High-, Medium-, and Low-Density Foods

Here is a rough sorting of common foods by calorie density. The categories are guidelines, not rules.

Low density (under 1 cal/g) — these fill you up with few calories:

• Most vegetables (leafy greens, broccoli, peppers, tomatoes, cucumbers, zucchini)
• Most fruits (apples, berries, oranges, melon)
• Broth-based soups
• Plain non-fat yogurt (about 0.6 cal/g)
• Egg whites (0.5 cal/g)

Medium density (1-3 cal/g) — moderate calories per bite:

• Beans and lentils (cooked)
• Whole grains (cooked rice, oatmeal, pasta)
• Plain Greek yogurt
• Whole eggs (about 1.5 cal/g)
• Lean meats (chicken breast, cod, turkey)
• Fish like salmon (about 2 cal/g)
• Most fresh seafood

High density (4+ cal/g) — many calories in a small amount:

• All oils (about 8-9 cal/g)
• Butter (about 7 cal/g)
• Nuts and seeds (5-6 cal/g)
• Most cheeses (about 4 cal/g)
• Bacon (about 5 cal/g)
• Dried fruits (3-4 cal/g)
• Most cookies, crackers, chips (4-5 cal/g)
• Most candy (4-5 cal/g)
• Granola (4-5 cal/g)
• Dark chocolate (about 6 cal/g)

The Bear is not telling you to avoid high-density foods. Olive oil, butter, nuts, cheese — these are real foods with real nutritional value. They are part of healthy eating around the world. But they pack a lot of calories into a small amount, so amounts add up fast. A handful of almonds (1 oz, 28g) is 160 calories. Two handfuls? 320. Four handfuls without thinking? 640 calories from one snack.

Knowing this is how you stay in control of the math.

Lesson Check

1. What are three different ways to measure calorie density?
2. How do you calculate calories per gram from a Nutrition Facts label?
3. Why does a 300-calorie pile of strawberries fill you up more than 300 calories of butter?
4. Sort these from highest to lowest calorie density: olive oil, plain yogurt, broccoli, cheese.
5. The Bear says high-density foods aren't "bad" but you need to know about them. Why?

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Lesson 2.2: Macronutrient Math

Learning Objectives

By the end of this lesson, you will be able to:

• State the calorie content of each macronutrient: protein, carbohydrate, fat, alcohol
• Calculate calories from macronutrient grams (grams × calories-per-gram)
• Calculate the macronutrient breakdown of a meal in calories and percentages
• Compare two foods by their macronutrient profile, not just their total calories
• Recognize that macronutrient ratios matter for hunger, energy, and growth

Key Terms

The Four Numbers That Run the System

In all of nutrition science, four numbers are foundational:

• Protein: 4 calories per gram
• Carbohydrate: 4 calories per gram
• Fat: 9 calories per gram
• Alcohol: 7 calories per gram (not relevant for kids; included so you know the full picture)

These are not approximations. They are measured chemical facts. Scientists have known these values for more than 100 years, going back to the work of Wilbur Atwater in the late 1800s [4]. The numbers are still used today.

Memorize these four numbers. They are the multiplication table of nutrition. Once you have them, you can decode any food label in seconds.

Quick Calculation: Calories from Macros

The Nutrition Facts panel on any food shows you grams of protein, grams of carbohydrate, and grams of fat. With the four numbers above, you can convert these into calories.

Calories from protein = protein grams × 4 Calories from carbs = carb grams × 4 Calories from fat = fat grams × 9

Example 1: A protein bar. Label says: Protein 20g, Carbs 25g, Fat 10g.

• Protein calories: 20 × 4 = 80
• Carb calories: 25 × 4 = 100
• Fat calories: 10 × 9 = 90
• Total: 270 calories

That should roughly match the calorie number at the top of the label. Sometimes it's a few calories off because of fiber (which is technically a carbohydrate but absorbs differently) and a few rounding rules food companies use, but you'll get within 5-10%.

Example 2: A bowl of oatmeal with milk and a banana.

Oatmeal (1 cup cooked, no milk): Protein 6g, Carbs 27g, Fat 4g

• 6 × 4 = 24 protein cal
• 27 × 4 = 108 carb cal
• 4 × 9 = 36 fat cal
• Total: 168 cal

Milk (1 cup, 2%): Protein 8g, Carbs 12g, Fat 5g

• 8 × 4 = 32
• 12 × 4 = 48
• 5 × 9 = 45
• Total: 125 cal

Banana (1 medium): Protein 1g, Carbs 27g, Fat 0g

• 1 × 4 = 4
• 27 × 4 = 108
• 0 × 9 = 0
• Total: 112 cal

Bowl total: 168 + 125 + 112 = 405 calories

You just did real nutrition math. This is the work registered dietitians do.

Macro Breakdown: The Percentages

You can also figure out what percentage of a food's calories comes from each macro. This tells you the food's nutritional shape.

Macro Breakdown Formula:

• % from protein = (protein calories ÷ total calories) × 100
• % from carbs = (carb calories ÷ total calories) × 100
• % from fat = (fat calories ÷ total calories) × 100

The three percentages should add up to roughly 100% (sometimes slightly off because of fiber and other small components).

Example 1: The protein bar from before (270 cal total).

• Protein: 80 ÷ 270 = 0.296 = 29.6%
• Carbs: 100 ÷ 270 = 0.370 = 37.0%
• Fat: 90 ÷ 270 = 0.333 = 33.3%

So this protein bar is roughly 30/37/33 (protein/carbs/fat as a percent of calories). That's a fairly balanced bar with decent protein.

Example 2: A typical candy bar (Snickers full size). Label says: Calories 250, Protein 4g, Carbs 33g, Fat 12g.

• Protein: 4 × 4 = 16 cal → 16/250 = 6.4%
• Carbs: 33 × 4 = 132 cal → 132/250 = 52.8%
• Fat: 12 × 9 = 108 cal → 108/250 = 43.2%

So a Snickers bar is roughly 6/53/43. Almost no protein. Mostly sugar and fat.

Now you see the difference in macro shape between the two foods, even though both are around 250-270 calories. The protein bar has roughly 5 times the protein percentage of the candy bar.

Why Macro Shape Matters

Macro shape affects how a food makes you feel, how long it keeps you full, and how it supports your growth.

Protein triggers the strongest fullness response of any macro [5]. Higher-protein meals tend to keep you satisfied longer. Protein is also what your body uses to build new tissue — critical for growing kids.

Carbohydrates give your brain its main fuel. Whole-food carbs (fruit, whole grains, beans) come with fiber that slows their absorption. Processed carbs (white bread, sugar, candy) hit your bloodstream quickly and can cause an energy spike followed by a crash.

Fat is the most calorie-dense (9 cal/g vs 4 for the others). Fat triggers a slower digestion process, which can extend fullness. Healthy fats (from fish, avocados, nuts, olive oil, butter) carry important nutrients. Fat is essential for building the brain and making hormones.

A meal with a balanced macro shape — some protein, some carbs, some fat — tends to leave kids feeling steady and full for several hours. A meal with mostly sugar or mostly fat tends to produce energy swings or quick hunger return.

The Bear wants you to look at the macro shape of foods you eat regularly. Some surprises wait there. Many breakfast cereals marketed to kids have 1-2g protein per serving and 12-15g sugar. Many "granola bars" have macro shapes closer to candy bars than to actual energy bars.

Lesson Check

1. How many calories per gram does protein contain? Carbs? Fat?
2. If a food has 15g protein, 20g carbs, and 8g fat, how many calories does it have? Show your math.
3. What's the macro breakdown (percentages) for a food with 10g protein, 30g carbs, and 10g fat?
4. Which macronutrient triggers the strongest fullness response?
5. Why might it be useful to know a food's macro breakdown, not just its total calories?

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Lesson 2.3: Reading Labels for the Real Numbers

Learning Objectives

By the end of this lesson, you will be able to:

• Locate and interpret the serving size and servings per container on any food label
• Multiply per-serving values to find the total calories and macros in an entire package
• Identify when a "small" food has been split into multiple servings to make the calorie number look smaller
• Compare two products of the same type on a per-serving and per-package basis
• Recognize tricks food companies use to make nutrition info look misleading

Key Terms

The Serving Size Trick

Most kids — and most adults — read food labels wrong. They look at "Calories 150" and assume the whole package is 150 calories. It almost never is.

Here's the trick. Food companies are required to list a Nutrition Facts panel based on a serving size. They can largely choose how big that serving is. They also have to print how many servings are in the whole package.

If a 12-ounce bag of chips lists a serving size as "1 oz (28g, about 14 chips)" and the package contains 12 servings, then:

• 150 calories per serving × 12 servings = 1,800 calories in the bag

Most kids do not eat 14 chips. They eat at least 30, often 50, sometimes the whole bag. The calorie number printed on the front is the per-serving number, and the per-package total is much bigger.

The math you need:

Total calories in package = Calories per serving × Servings per container
Actual calories you ate = Calories per serving × (Number of servings you actually ate)

That's it. Simple multiplication.

Example: The Sneaky Cup of Soda

Let's look at a real example.

A 20-ounce bottle of regular cola.

Label says:

• Serving size: 12 fl oz (1 can equivalent)
• Servings per container: 1.67
• Calories per serving: 140
• Sugar per serving: 39g

If you drink the whole 20-ounce bottle:

• Calories: 140 × 1.67 = 234 calories
• Sugar: 39 × 1.67 = 65 grams of sugar

The American Heart Association recommends kids ages 2-18 keep added sugar to less than 25 grams per day [6]. One large bottle of soda is 2.6× the daily limit.

If you only looked at the "140 calories" label number, you'd be off by almost 100 calories on the actual amount you drank.

Example: The Snack Pack That Isn't Just One Snack

A bag of cheese crackers labeled as "single-serve."

Label says:

• Serving size: 1 oz (28g)
• Servings per container: 2
• Calories per serving: 150
• Fat per serving: 7g

If you ate the whole bag:

• Calories: 150 × 2 = 300 calories
• Fat: 7 × 2 = 14g

The bag looks like one snack. Most kids would eat the whole thing in one sitting. The "150 calories" on the front is half the real number.

Example: The "Healthy" Granola

A small bag of trail mix or granola.

Label says:

• Serving size: 1/4 cup (30g)
• Servings per container: 4
• Calories per serving: 180

Most people pour at least 1 cup of trail mix into a bowl — that's 4 servings. Without thinking:

• Calories: 180 × 4 = 720 calories

For a kid, 720 calories from one snack is a lot. Not "bad" — just much more than the front of the package suggested.

Example: Reading a Package That's Two Servings

A microwave dinner box.

Label says:

• Serving size: 1 cup (240g)
• Servings per container: 2
• Calories per serving: 250

If the box looks like one meal but contains 2 servings:

• Whole-box calories: 250 × 2 = 500 calories

This is common with frozen meals, soups, and sauces. The "individual" package is sometimes split into 2 or even 3 servings on the label so the calorie number printed up front looks lower.

Why Food Companies Do This

The Bear is straightforward about this: food companies know exactly what they're doing. The FDA sets some rules about reference serving sizes, but companies have flexibility, and they generally choose sizes that make their calorie numbers look smaller [7].

A "100-calorie pack" sounds healthier than a "300-calorie pack" — even if the package is actually 100 calories per serving × 3 servings = 300 calories.

Once you know the trick, you can do the multiplication yourself in 2 seconds. The math is always:

Calories per serving × Servings per container = Total calories in package

You can do this in your head for round numbers. You can punch it into your phone calculator for exact numbers. Either way, the trick stops working on you the moment you start doing the multiplication.

A Five-Second Label Routine

When you pick up any packaged food, do this:

1. Find Serving Size. Look at the top of the Nutrition Facts panel. Note the amount.

2. Find Servings per Container. Right under serving size. Note the number.

3. Find Calories per Serving. The big number on the panel.

4. Multiply. Calories per serving × servings per container = total package calories.

5. Decide. Is the actual amount in the package what you thought? If it's a much higher number than you expected, you now know.

This whole routine takes about 5 seconds. The Bear wants you to do it on every packaged food you pick up, until it becomes automatic.

Lesson Check

1. Why does the calorie number on the front of a food package often understate how many calories you actually eat?
2. Write the simple formula: Total calories in package = ?
3. A bag of pretzels says: 110 cal per serving, 4 servings per container. If you eat the whole bag, how many calories did you eat?
4. A 20-oz soda bottle says: 140 cal per 12 oz serving, 1.67 servings per container. How many calories in the whole bottle?
5. Why do food companies sometimes split a small "single-serve" package into 2 or 3 servings on the label?

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Lesson 2.4: Comparing Two Meals on Paper

Learning Objectives

By the end of this lesson, you will be able to:

• Compare two meals side by side on total calories, macronutrient breakdown, and approximate nutrient density
• Recognize that two meals can have similar calorie counts but very different nutritional value
• Redesign a meal on paper to match a target calorie count while improving nutrient quality
• Use macronutrient math (Lesson 2.2) and label math (Lesson 2.3) together
• Make smarter food decisions in real situations like the school cafeteria, fast food, or your own kitchen

Key Terms

The Same Calories Can Mean Very Different Things

Here is one of the most useful examples in nutrition.

Meal A: A typical fast-food kid's meal.

• Cheeseburger: 300 cal (Protein 15g, Carbs 33g, Fat 12g)
• Small fries: 230 cal (Protein 3g, Carbs 30g, Fat 11g)
• Small soda: 140 cal (Protein 0g, Carbs 38g, Fat 0g)

Meal A totals: 670 calories. Protein 18g, Carbs 101g, Fat 23g.

Macro breakdown:

• Protein: 18 × 4 = 72 cal → 72/670 = 10.7%
• Carbs: 101 × 4 = 404 cal → 404/670 = 60.3%
• Fat: 23 × 9 = 207 cal → 207/670 = 30.9%

Meal A: 11% protein, 60% carbs, 31% fat.

Nutrient profile: low protein for the calorie count. Most of the carbs are refined (white bun, white potato fried in oil, sugary soda). Fat is mostly from frying oil. Very few vitamins or minerals.

Meal B: A home-built meal with similar calories.

• Grilled chicken breast (4 oz): 185 cal (Protein 35g, Carbs 0g, Fat 4g)
• 1/2 cup brown rice: 110 cal (Protein 3g, Carbs 23g, Fat 1g)
• 1 cup roasted broccoli: 80 cal (Protein 4g, Carbs 11g, Fat 3g) (assumes a teaspoon of olive oil)
• 1 cup sliced apple: 60 cal (Protein 0g, Carbs 16g, Fat 0g)
• 1 cup milk (2%): 122 cal (Protein 8g, Carbs 12g, Fat 5g)
• 1/2 oz almonds (a small handful): 80 cal (Protein 3g, Carbs 3g, Fat 7g)
• Water (zero calories)

Meal B totals: 637 calories. Protein 53g, Carbs 65g, Fat 20g.

Macro breakdown:

• Protein: 53 × 4 = 212 cal → 212/637 = 33.3%
• Carbs: 65 × 4 = 260 cal → 260/637 = 40.8%
• Fat: 20 × 9 = 180 cal → 180/637 = 28.3%

Meal B: 33% protein, 41% carbs, 28% fat.

Nutrient profile: nearly three times the protein of Meal A. Mostly whole-food carbs (brown rice, broccoli, apple). Healthy fats from olive oil and almonds. Loaded with vitamins and minerals from the broccoli, apple, and milk.

Both meals are roughly the same calorie count. But Meal B builds a kid's body in a way Meal A doesn't.

Now you can see exactly what the Bear has been pointing at across this chapter. Calories are one number. Nutrient quality is another. Both matter. Calorie math without nutrient density would be incomplete — you could starve while filling up on sugar. Nutrient density without calorie math would be incomplete — you could overshoot your energy needs while eating "healthy" food. You need both tools.

Redesigning a Meal

Here is the most useful skill in this whole chapter. You can take any meal you eat regularly and redesign it on paper to deliver the same calories with much better nutritional value.

Example: Redesigning lunch.

Original lunch:

• White bread sandwich with deli ham and mayo: 380 cal (Protein 18g, Carbs 35g, Fat 18g)
• Chips: 150 cal (Protein 2g, Carbs 15g, Fat 10g)
• Soda: 140 cal (Protein 0g, Carbs 38g, Fat 0g)
• Total: 670 cal | Protein 20g | Carbs 88g | Fat 28g

Redesigned lunch (same calorie target):

• Whole-grain bread sandwich with turkey, cheese, and avocado: 480 cal (Protein 30g, Carbs 35g, Fat 22g)
• Carrot sticks: 30 cal (Protein 1g, Carbs 7g, Fat 0g)
• Apple: 80 cal (Protein 0g, Carbs 22g, Fat 0g)
• Water (0 cal)
• Small handful of almonds: 80 cal (Protein 3g, Carbs 3g, Fat 7g)
• Total: 670 cal | Protein 34g | Carbs 67g | Fat 29g

Same calorie total. Protein up 70%. Refined carbs (white bread, chips, soda) replaced with whole foods (whole-grain bread, carrots, apple). Healthy fats from avocado and almonds. Vitamin C from carrots and apple. Hugely better food for the same energy in.

This is what nutritionists do for a living. With your Grade 7 math, you can do it too.

When You Can't Build the "Better" Meal

The Bear is realistic. Sometimes you can't redesign your meal. You're at a friend's house. You're at a sports event with a snack bar. You're at a birthday party with cake. You're at a fast-food drive-through because the family is in a hurry. You don't always get to engineer every plate.

That's fine. The Bear is not chasing perfection. The point of learning this math is so you can:

1. Know what's happening. A milkshake is 800 calories. A burger meal is 1,200 calories. A slice of birthday cake is 350 calories. Once you know the numbers, you stop being surprised.

2. Adjust the rest of your day. If lunch was a big calorie-dense meal, maybe dinner is a salad with chicken instead of pizza. Not because you're punishing yourself — because you're managing energy in across the day.

3. Make better choices when you can. When you have control — at home, at school for lunches you pack, when you're shopping with parents — you can use the math. When you don't have control, you eat what's available, and that's life.

The skill builds slowly. The Bear is not in a hurry. Over the next few years, the math will get faster, the numbers will come automatically, and you'll find yourself making smart food choices without having to think.

Lesson Check

1. The fast-food meal and the home-built meal in the example both had around 650 calories. What was the biggest nutritional difference between them?
2. Write the math for redesigning a 670-calorie lunch with more protein and more whole foods, using the original lunch from the example as the starting point.
3. Why does the Bear say "calorie math without nutrient density would be incomplete"?
4. What are three things knowing the calorie math lets you do in real life?
5. The Bear says "the point isn't perfection." What does that mean for how to use this math?

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End-of-Chapter Activity: Redesign Your School Lunch

You are going to take a real school lunch (or one a friend or sibling has) and redesign it on paper.

Materials

• A piece of paper or notebook
• A pencil and calculator
• Access to nutrition information (school lunch menus often list calories and macros; otherwise look up foods on USDA FoodData Central or a similar resource)
• The calorie tables from Grade 6 and Lesson 2.1 of this chapter

Procedure

Step 1: Pick a lunch. Choose one real lunch — either your school cafeteria lunch (most schools post nutrition info) or a typical lunch you bring from home. Write down everything on the tray or in the bag.

Step 2: Look up the numbers. For each item, find:

• Calories
• Protein in grams
• Carbohydrates in grams
• Fat in grams

If the food has a label, multiply by the actual servings you ate (Lesson 2.3 math).

Step 3: Calculate the total. Add up the calories, protein grams, carb grams, and fat grams across the whole meal.

Step 4: Calculate macro percentages. Using the formulas from Lesson 2.2:

• % protein = (protein g × 4) ÷ total cal × 100
• % carbs = (carb g × 4) ÷ total cal × 100
• % fat = (fat g × 9) ÷ total cal × 100

Step 5: Design a replacement. Build a new lunch on paper that:

• Hits roughly the same total calories (within 50)
• Has noticeably more protein (target at least 25g for a teen lunch)
• Replaces refined carbs with whole-food carbs where possible
• Includes some vegetables or fruit
• Uses real ingredients you could actually get at home or at school

Step 6: Calculate the totals for your new lunch.

Step 7: Side-by-side comparison. Make a small table showing both lunches side by side with their totals.

Step 8: Write a short reflection (4-6 sentences). Answer:

• Which meal had more protein?
• Which had more refined carbs vs. whole-food carbs?
• Which would you predict keeps you full longer?
• What's one thing you could actually do this week to move your real lunches closer to the redesigned version?

Submission

Turn in:

• Your original lunch with all the numbers
• Your redesigned lunch with all the numbers
• The side-by-side comparison table
• Your reflection

Total writing: approximately 200-300 words plus the math.

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Vocabulary Review

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Chapter Quiz

Multiple Choice (10 questions, 2 points each)

1. Calorie density refers to:

A) The number of calories per gram, per serving, or per dollar B) The number of vitamins in a food C) How sweet a food tastes D) The total calories in a food

2. Which has the highest calorie density per gram?

A) Broccoli B) Plain yogurt C) Olive oil D) Apple

3. How many calories per gram does protein contain?

A) 4 B) 7 C) 9 D) 18

4. How many calories per gram does fat contain?

A) 4 B) 7 C) 9 D) 18

5. A food has 20g of protein and 30g of carbs and 10g of fat. How many calories does it have?

A) 200 B) 290 C) 350 D) 430

6. A bag of chips says "150 calories per serving, 4 servings per container." If you eat the whole bag, how many calories did you eat?

A) 150 B) 300 C) 450 D) 600

7. Why do food companies sometimes split a small package into multiple servings on the label?

A) To match international standards B) Because portion sizes are scientifically optimized C) To make the per-serving calorie number look smaller, even though the package contains more D) To save printing costs

8. Two meals each contain 650 calories. Meal A is mostly fast-food (cheeseburger, fries, soda). Meal B is mostly whole foods (chicken, rice, vegetables, milk). What's the biggest difference?

A) Meal A always has more vitamins B) Meal B typically has much more protein and nutrient density for the same calorie count C) Meal A always tastes better D) Meal B is always more expensive

9. Why does the same number of calories from strawberries fill you up more than the same calories from butter?

A) Strawberries are sweeter B) The strawberries take up much more volume and engage stomach stretch receptors that signal fullness C) Butter has no calories D) Your body absorbs butter calories faster

10. A food has 250 calories. 8g protein, 35g carbs, 8g fat. What percentage of its calories come from protein?

A) 4% B) 13% C) 32% D) 50%

Short Answer (5 questions, 4 points each)

11. A granola bar has 200 calories per bar, with 5g protein, 25g carbs, and 8g fat. (a) Show that the macros add up to roughly 200 calories. (b) What is the macro breakdown (percentages) for this bar? Show your math.

12. A 16-oz bottle of sports drink lists: 60 cal per 8-oz serving, 2 servings per bottle. If you drink the whole bottle, how many calories and how many grams of sugar did you take in if each serving has 14g sugar? Show your math.

13. Explain in 3-4 sentences why two meals with the same total calories can be very different nutritionally. Use an example.

14. Take this fast-food lunch (cheeseburger 300 cal, fries 230 cal, soda 140 cal) and redesign it on paper to deliver about the same calories with more protein and more whole foods. Write out the new lunch with calorie estimates.

15. The Bear says calorie math and nutrient density both matter. In 3-4 sentences, explain why having only one or the other would be incomplete.

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Teacher's Guide

Pacing Recommendations

Lesson Check Answers

Lesson 2.1:

1. Calories per gram, calories per serving, calories per dollar. 2. Divide calories per serving by serving size in grams: calories ÷ grams. 3. Strawberries have very low calorie density and high volume; they physically fill the stomach and engage stretch receptors that signal fullness. Butter has very high calorie density and low volume; you can consume the same calories with almost no stomach signal. 4. From highest to lowest: olive oil (~9 cal/g), cheese (~4 cal/g), plain yogurt (~0.6 cal/g), broccoli (~0.35 cal/g). 5. Because high-density foods aren't bad — many (olive oil, nuts, cheese) are nutritious. But they pack a lot of calories into small amounts, so portions add up fast. Knowing the density helps kids stay aware of how quickly calories accumulate.

Lesson 2.2:

1. Protein: 4 cal/g; Carbs: 4 cal/g; Fat: 9 cal/g. 2. (15 × 4) + (20 × 4) + (8 × 9) = 60 + 80 + 72 = 212 calories. 3. Total calories = (10×4) + (30×4) + (10×9) = 40 + 120 + 90 = 250. % protein = 40/250 = 16%. % carbs = 120/250 = 48%. % fat = 90/250 = 36%. 4. Protein. 5. Because two foods can have the same calorie count but very different effects on hunger, energy, and growth. A 250-cal protein bar and a 250-cal candy bar are not equivalent for a growing kid. Macro shape tells you whether a food is mostly building material, mostly fuel, or mostly fat.

Lesson 2.3:

1. Because the calorie number listed is for ONE serving, and many packages contain multiple servings. People often eat the whole package without doing the multiplication. 2. Calories per serving × Servings per container = Total calories in package. 3. 110 × 4 = 440 calories. 4. 140 × 1.67 ≈ 234 calories. 5. Because the per-serving calorie number looks smaller and more appealing on the front of the package, even though the customer is likely to eat the whole package and take in 2-3× more calories than they realize.

Lesson 2.4:

1. Meal A had only 18g protein for 670 calories (about 11% of calories from protein), while Meal B had 53g protein for 637 calories (about 33% from protein) — nearly three times the protein for the same total energy. Meal B also had vegetables, whole grains, and healthy fats while Meal A had mostly refined carbs and fried oils. 2. Replace the white bread sandwich with a whole-grain bread sandwich with more turkey and avocado; replace chips with carrot sticks and an apple; replace soda with water; add a small handful of almonds. The totals come out around the same calories (~670) but with 30g+ protein and lots of whole foods. 3. Because you could in theory eat very few calories while filling up on candy (which has calories but almost no useful nutrients). Or you could eat too many calories of "healthy" food. Both are imbalanced. The math without nutrient density is incomplete. The nutrient density without the math is also incomplete. Both together work. 4. Three of: know what's happening with the numbers; adjust the rest of your day if one meal is heavy; make smarter choices when you have control; spot label tricks; redesign meals you cook yourself; understand why some foods make you feel fuller than others. 5. The Bear is not asking kids to engineer every meal. The Bear is asking kids to KNOW the math. Most of the time, kids will eat what's around. Some meals will be balanced and great. Some won't. That's fine. The skill builds slowly and pays off over years, not days.

Quiz Answer Key

Multiple Choice: 1.A 2.C 3.A 4.C 5.D 6.D 7.C 8.B 9.B 10.B

Short Answer (sample target responses):

1. (a) Protein: 5 × 4 = 20 cal. Carbs: 25 × 4 = 100 cal. Fat: 8 × 9 = 72 cal. Total: 192 cal — within 5% of the listed 200 cal (small differences are normal due to fiber and rounding). (b) Protein: 20/200 = 10%. Carbs: 100/200 = 50%. Fat: 72/200 = 36%. (Roughly 10/50/36.)

2. Calories: 60 × 2 = 120 calories total. Sugar: 14 × 2 = 28 grams of sugar — already more than the American Heart Association's daily limit for kids (25g/day).

3. Sample: Two meals at the same calorie count can have very different macronutrient breakdowns and very different nutrient density. A 500-calorie candy-bar-and-soda meal has almost no protein, no fiber, and few vitamins. A 500-calorie chicken-and-vegetable meal has 30g+ protein, fiber from vegetables, and many vitamins and minerals. Same calories, different value for the body.

4. Sample redesign: Grilled chicken sandwich (whole-grain bun + 4 oz chicken + tomato + lettuce) at 380 cal, side salad with olive oil dressing at 100 cal, water at 0 cal, apple at 80 cal, small yogurt at 110 cal. Total: ~670 calories with ~40g protein (vs original ~20g).

5. If you knew calorie math but ignored nutrient density, you could "stay within calories" while eating mostly sugar — fueling your body badly. If you knew nutrient density but ignored calorie math, you could overshoot your energy needs by hundreds of calories with foods that seem healthy (lots of nuts, oils, granola, smoothies). Both tools together let you eat the right amount of the right kinds of food. Either tool alone is incomplete.

Discussion Prompts

1. What's a food that has surprised you with its calorie count or macro shape?
2. The Bear says food companies "know exactly what they're doing" with serving sizes. What do you think about that?
3. If you had to teach a 9-year-old the most important idea from this chapter, what would it be?
4. Why might a kid's body feel different after a fast-food meal compared to a home-built meal with the same total calories?
5. What's the most useful thing in this chapter you can imagine actually applying in the next month?
6. The end-of-chapter activity has you redesign a school lunch on paper. What was the hardest part of doing that?
7. The Bear says "the point isn't perfection." Where else in your life does this idea apply?
8. Why might it be harder for adults who never learned this math to make food decisions?

Common Student Questions

• "What if a label says 'low calorie'?" Marketing terms like "low calorie," "diet," "lite," and "natural" have varying legal definitions and often don't mean much. Always check the actual numbers on the back of the package.
• "What's the right macro ratio for me?" There's no single right answer. Active kids need more carbs and protein. Different bodies do well on different ratios. The chapter teaches you to calculate the ratio so you can adjust based on how you feel.
• "Should I avoid all high-calorie-density foods?" No. Olive oil, butter, nuts, cheese, avocados are all nutritious — just calorie-dense. The point is to know the density so you can portion accordingly.
• "Why did my math not match the label exactly?" Food labels round numbers and sometimes don't include fiber (which is a carb but absorbs differently). Small differences (5-10%) between your calculated total and the label are normal.
• "What about fiber?" Fiber is technically a carbohydrate (4 cal/g for soluble fiber, fewer for insoluble). For now, count fiber as part of carbs. Grade 9 will teach the more detailed picture.
• "What if my school lunch doesn't have nutrition info available?" Use the calorie estimates in the chapter for common foods. If the cafeteria offers something unusual, ask an adult to help you look it up.

Parent Communication Template

Dear Parents,

This week your student begins Chapter 2 of the Coach Food middle school curriculum — Your Body, Your Food. The chapter builds on the calorie literacy from Grade 6 with more advanced math.

What the chapter covers:

• Calorie density — calories per gram, per serving, per dollar
• Macronutrient calorie math — protein and carbs at 4 cal/g, fat at 9 cal/g
• Real label reading — multiplying by servings per container to get actual package totals
• Side-by-side meal comparison on calories, macros, and nutrient density
• End-of-chapter activity: redesign a real school lunch on paper

The math involved is multiplication and division — appropriate for the Grade 7 math level. Grade 8 will introduce the Mifflin-St Jeor equation for calculating individual BMR and TDEE.

Like Grade 6, this chapter teaches calorie math directly as a life skill. The framing is: most adults never learn this math, and they make worse food decisions for it. Your student will leave Grade 7 able to decode any food label, calculate the macro breakdown of any meal, and compare two food options on more than just taste.

The end-of-chapter activity asks your student to redesign a school lunch. Please support the exercise — your student may have new ideas about what to put in their lunch.

If you have specific health, weight, or eating concerns about your student, please speak with your healthcare provider. The curriculum teaches the math; medical decisions are your family's.

Warmly, The CryoCove Curriculum Team

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Illustration Briefs

Lesson 2.1 — Strawberries vs. Butter Placement: After "Why This Matters for Hunger and Fullness." Scene: A side-by-side visual comparison. On the left, a large pile of strawberries labeled "4 cups = 300 calories." On the right, a small pat of butter labeled "2.5 tablespoons = 300 calories." Below each, a kid's thought bubble — strawberries kid: "Wow I'm so full"; butter kid: "...what?" Coach Food (Bear) stands between, paw pointing at the strawberries. Mood: educational, slightly funny. Aspect ratio: 16:9 web.

Lesson 2.2 — The Four Numbers (optional) Placement: After "The Four Numbers That Run the System." Scene: A clean diagram showing four "trading cards" — Protein 4 cal/g, Carbohydrate 4 cal/g, Fat 9 cal/g, Alcohol 7 cal/g. Each card has a small icon: protein-egg, carb-bread, fat-olive oil, alcohol-X-marked-out (with note "not for kids"). Coach Food (Bear) holds up the protein card. Mood: like a multiplication table chart in a math classroom. Aspect ratio: 16:9 web.

Lesson 2.3 — The Serving-Size Trick Placement: After "Why Food Companies Do This." Scene: A close-up of a snack chip bag. On the front, in big bold letters: "150 calories." On the back of the bag (shown unfolded), the Nutrition Facts panel shows "Serving Size 14 chips, Servings per Container 12." Below: a math equation: "150 × 12 = 1,800 calories." Coach Food (Bear) holds the bag with one paw and points to the math with the other. Mood: revealing, like a magician explaining the trick. Aspect ratio: 4:3 print.

Lesson 2.4 — Side-by-Side Meals Placement: After "The Same Calories Can Mean Very Different Things." Scene: A clean side-by-side comparison table. Column 1 ("Meal A — Fast Food") shows cheeseburger, fries, soda with calorie/protein/carb/fat numbers. Column 2 ("Meal B — Home Built") shows grilled chicken, rice, broccoli, apple, milk, almonds. At the bottom, both totals around 650 cal — but Meal B has 53g protein vs Meal A's 18g. A "VS" badge between. Coach Food (Bear) at the bottom evaluating both. Aspect ratio: 16:9 web, 4:3 print.

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Citations

1. Rolls, B. J., Roe, L. S., & Meengs, J. S. (2006). Reductions in portion size and energy density of foods are additive and lead to sustained decreases in energy intake. American Journal of Clinical Nutrition, 83(1), 11-17.

2. Rolls, B. J. (2009). The relationship between dietary energy density and energy intake. Physiology & Behavior, 97(5), 609-615.

3. Hall, K. D., Ayuketah, A., Brychta, R., Cai, H., Cassimatis, T., Chen, K. Y., Chung, S. T., Costa, E., Courville, A., Darcey, V., Fletcher, L. A., Forde, C. G., Gharib, A. M., Guo, J., Howard, R., Joseph, P. V., McGehee, S., Ouwerkerk, R., Raisinger, K., … Zhou, M. (2019). Ultra-processed diets cause excess calorie intake and weight gain. Cell Metabolism, 30(1), 67-77.

4. Atwater, W. O., & Bryant, A. P. (1900). The availability and fuel value of food materials. Annual Report of the Storrs Agricultural Experiment Station.

5. Veldhorst, M., Smeets, A., Soenen, S., Hochstenbach-Waelen, A., Hursel, R., Diepvens, K., Lejeune, M., Luscombe-Marsh, N., & Westerterp-Plantenga, M. (2008). Protein-induced satiety: effects and mechanisms of different proteins. Physiology & Behavior, 94(2), 300-307.

6. Vos, M. B., Kaar, J. L., Welsh, J. A., Van Horn, L. V., Feig, D. I., Anderson, C. A., Patel, M. J., Cruz Munos, J., Krebs, N. F., Xanthakos, S. A., & Johnson, R. K. (2017). Added sugars and cardiovascular disease risk in children: a scientific statement from the American Heart Association. Circulation, 135(19), e1017-e1034.

7. U.S. Food and Drug Administration. (2023). Changes to the Nutrition Facts label. fda.gov/food/food-labeling-nutrition.

8. Drewnowski, A., & Fulgoni, V. L. (2014). Nutrient density: principles and evaluation tools. American Journal of Clinical Nutrition, 99(5), 1223S-1228S.

9. Monteiro, C. A., Cannon, G., Levy, R. B., Moubarac, J. C., Louzada, M. L., Rauber, F., Khandpur, N., Cediel, G., Neri, D., Martinez-Steele, E., Baraldi, L. G., & Jaime, P. C. (2019). Ultra-processed foods: what they are and how to identify them. Public Health Nutrition, 22(5), 936-941.

10. Ledikwe, J. H., Blanck, H. M., Khan, L. K., Serdula, M. K., Seymour, J. D., Tohill, B. C., & Rolls, B. J. (2006). Dietary energy density is associated with energy intake and weight status in U.S. adults. American Journal of Clinical Nutrition, 83(6), 1362-1368.

11. Bell, E. A., Castellanos, V. H., Pelkman, C. L., Thorwart, M. L., & Rolls, B. J. (1998). Energy density of foods affects energy intake in normal-weight women. American Journal of Clinical Nutrition, 67(3), 412-420.

12. U.S. Department of Agriculture, Agricultural Research Service. (2024). FoodData Central. fdc.nal.usda.gov.

13. Westerterp-Plantenga, M. S., Lemmens, S. G., & Westerterp, K. R. (2012). Dietary protein — its role in satiety, energetics, weight loss and health. British Journal of Nutrition, 108 Suppl 2, S105-S112.