Identify and write ratios using part-to-part and part-to-whole
relationships in multiple notation forms.
6.AT.A.1 · Ratios & Rates
Level
Guided practice with vocabulary support
🟠 Level 0 — Extra Support
Watch first: the worked example and hints are already shown for you.
One at a time: answer one question, check it, then go on.
Read aloud: press 🔊 Read aloud, then click any sentence to hear it.
Sentence starters: “First, I…” · “The answer is… because…” · “I know this because…”
W
Warm-Up
2 questions
Warm-Up 1
A bag has 4 red marbles and 6 blue marbles. What is the
ratio of red marbles to blue marbles?
Vocabulary: A
ratio compares two quantities. A
part-to-part ratio compares one part of a
group to another part. You can write it as 4:6, 4 to 6, or 4/6.
✓Correct! The ratio of red to blue is 4 to 6. Order matters in a
ratio — red was listed first.
✗Not quite. The ratio of red to blue compares red first, then blue:
4 to 6. The answer is B.
Warm-Up 2
There are 3 cats and 5 dogs at a pet store. Which shows the ratio of
cats to total animals?
Hint: A
part-to-whole ratio compares one part to
the total. Total = 3 + 5 = 8.
✓Correct! 3 cats out of 8 total animals gives the part-to-whole
ratio 3:8.
✗This is a part-to-whole ratio. Cats = 3, total = 3 + 5 = 8. The
answer is C: 3:8.
P
Practice
5 questions
Practice 1
A fruit bowl has 5 apples and 3 oranges. Which ratio notation shows
apples to oranges?
Remember: Ratios can be written three ways: using a
colon (5:3), the word "to" (5 to 3), or as a fraction (5/3).
Explain how you know:
Sentence frame: "The ratio of apples to oranges is ___ to ___
because there are ___ apples and ___ oranges."
✓Correct! Apples to oranges = 5:3. Order matters — the first
quantity mentioned comes first.
✗Watch the order: apples (5) comes first, oranges (3) comes second.
The answer is B: 5:3.
Practice 2
A classroom has 12 boys and 16 girls. What is the ratio of boys to
girls in simplest form?
Strategy: Write the ratio 12:16, then divide both
numbers by their greatest common factor (GCF). The GCF of 12 and 16 is
4.
Show your simplification work:
Sentence frame: "I divided both ___ and ___ by ___ to get the
simplest form ___:___."
✓Correct! 12 ÷ 4 = 3 and 16 ÷ 4 = 4, so the simplest form is
3:4.
✗Divide both by the GCF of 4: 12 ÷ 4 = 3, 16 ÷ 4 = 4. The answer is
C: 3:4.
Practice 3
Sort each ratio into the correct category:
part-to-part or part-to-whole.
Context: A team has 7 boys and 5 girls (12 total).
Remember:Part-to-part compares one group to another
group. Part-to-whole compares one group to
the total.
7:5
7:12
5:7
5:12
5 to 7
12 to 7
Part-to-Part
Part-to-Whole
✓All correct! Part-to-part ratios compare boys to girls (or vice
versa). Part-to-whole ratios include the total of 12.
✗Some items are in the wrong group. Part-to-part compares boys to
girls only. Part-to-whole includes the total (12). Try again!
Practice 4
Write each ratio as a fraction in simplest form.
Strategy: Write the ratio as a fraction, then divide
the numerator and denominator by the GCF.
a. 6 to 9 =/
b. 10:15 =/
c. 8:20 =/
Sentence frame: "I divided both ___ and ___ by ___ to get ___/___."
✗Some answers need another look. Divide each ratio's numbers by
their GCF to simplify.
Practice 5
A recipe calls for 2 cups of flour for every 3 cups of sugar. Jayden
says the ratio of sugar to flour is 2:3. Is he correct?
Think carefully: The recipe says flour to sugar is
2:3. Jayden is writing sugar to flour. Does the order change?
Explain Jayden's error:
Sentence frame: "Jayden is incorrect because the ratio of sugar to
flour is ___:___, not ___:___. Order matters in a ratio."
✓Correct! Sugar to flour = 3:2, not 2:3. Order matters in a ratio —
Jayden reversed the quantities.
✗Order matters! Sugar = 3, flour = 2. Sugar to flour = 3:2. The
answer is B.
★
Challenge
1 question
Challenge
A bag contains red, blue, and green marbles. The ratio of red to blue
is 3:4 and the ratio of blue to green is 4:5. If there are 12 blue
marbles, how many marbles are in the bag in total?
Think about it: Blue = 12. Red:Blue = 3:4 means for
every 4 blue there are 3 red. Blue:Green = 4:5 means for every 4 blue
there are 5 green. Find red, then green, then add all three.
Total marbles =
Show your work:
Sentence frame: "Since blue = 12 and the ratio of red to blue is
3:4, red = ___. Since blue:green = 4:5, green = ___. Total = ___."
✓Excellent! Red = 9, blue = 12, green = 15. Total = 9 + 12 + 15 = 36
marbles.