Color the words by category: person, thing, place, or animal.

To solve the problem, we need to categorize each word in the table based on whether it names a Person, Thing, Place, or Animal. Then, we will color the corresponding spaces according to the instructions:

1. RED: Names a Person.
2. BLUE: Names a Thing.
3. YELLOW: Names a Place.
4. GREEN: Names an Animal.

Let's go through each word in the table and categorize it:

Table:

| mother | school | dog | flower |
|--------|--------|-----|--------|
| bee | driver | tree| cow |
| cake | monkey | den | boy |
| pilot | farm | yak | home |
| class | thief | zoo | ring |
| lion | crow | pen | jungle |
| water | lake | sheep | teacher |
| king | sack | wolf | bus |

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Step-by-Step Analysis:

#### First Row:
- mother: Person → RED
- school: Place → YELLOW
- dog: Animal → GREEN
- flower: Thing → BLUE

#### Second Row:
- bee: Animal → GREEN
- driver: Person → RED
- tree: Thing → BLUE
- cow: Animal → GREEN

#### Third Row:
- cake: Thing → BLUE
- monkey: Animal → GREEN
- den: Place → YELLOW
- boy: Person → RED

#### Fourth Row:
- pilot: Person → RED
- farm: Place → YELLOW
- yak: Animal → GREEN
- home: Place → YELLOW

#### Fifth Row:
- class: Thing → BLUE
- thief: Person → RED
- zoo: Place → YELLOW
- ring: Thing → BLUE

#### Sixth Row:
- lion: Animal → GREEN
- crow: Animal → GREEN
- pen: Thing → BLUE
- jungle: Place → YELLOW

#### Seventh Row:
- water: Thing → BLUE
- lake: Place → YELLOW
- sheep: Animal → GREEN
- teacher: Person → RED

#### Eighth Row:
- king: Person → RED
- sack: Thing → BLUE
- wolf: Animal → GREEN
- bus: Thing → BLUE

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Final Colored Table:

Based on the categorization above, here is how the table should be colored:

| RED (Person) | YELLOW (Place) | GREEN (Animal) | BLUE (Thing) |
|-------------------|--------------------|---------------------|------------------|
| mother | school | dog | flower |
| driver | | bee, cow | |
| boy | den | monkey | cake |
| pilot | farm, home | yak | |
| thief | zoo | | class, ring |
| lion, crow | jungle | sheep | water, pen |
| teacher | lake | wolf | sack, bus |
| king | | | |

---

Final Answer:

The words should be colored as follows:
- RED: mother, driver, boy, pilot, thief, teacher, king
- YELLOW: school, den, farm, home, zoo, jungle, lake
- GREEN: dog, bee, cow, monkey, yak, lion, crow, sheep, wolf
- BLUE: flower, tree, cake, ring, class, water, pen, sack, bus

$$
\boxed{\text{See the explanation above for the final coloring.}}
$$