Topic 12 Fractions - Grade 3 Envision 2.0 Pearson - Lesson 12.1-12.5 - EDITABLE - Free Printable

Let’s go through each part of the quiz step by step.

---

Part 1: Tell if each shows equal or unequal parts. If equal, write the fraction using a unit fraction.

A unit fraction is a fraction with 1 on top (numerator), like 1/2, 1/3, 1/4, etc. It means “one part out of how many total equal parts.”

1. Circle divided into 5 pieces — but they’re not all the same size.
→ Unequal parts → No fraction needed.

2. Rectangle divided into 8 small rectangles — all look the same size.
→ Equal parts → There are 8 parts → Unit fraction = 1/8

3. Triangle inside another triangle — looks like it’s split into 4 smaller triangles, but one is shaded and others aren’t clearly equal? Wait — actually, looking closely: the big triangle is split into 4 smaller congruent triangles (same shape and size). The inner shaded triangle is 1 of those 4.
→ Equal parts → 4 total → Unit fraction = 1/4

Wait — let me double-check #3. Sometimes these diagrams trick you. If the big triangle is divided by connecting midpoints, then yes — it makes 4 equal small triangles. So yes, 1/4 is correct.

---

Part 2: Draw a line to divide the shapes into the given number of equal parts. Then write the fraction that represents the equal part.

4. Square already has some lines — we need to make 2 equal parts.
Right now, it’s divided into 4 small squares. To make 2 equal parts, draw a vertical line down the middle OR horizontal line across the middle. Either way, each half will be 2 small squares.
→ Fraction for one part = 1/2

5. Grid of 3 rows × 4 columns = 12 small squares. Need to divide into 2 equal parts.
Draw a line down the middle vertically (between column 2 and 3) → each side has 6 squares.
OR draw horizontally between row 1 and 2? No — that would give 4 and 8. Better to split vertically or horizontally so both sides have 6.
Actually, easiest: draw a vertical line after column 2 → left side = 6 squares, right side = 6 squares.
→ Fraction for one part = 1/2

Wait — the problem says “divide into 2 equal parts” — so any line that splits the whole grid into two halves works. Since 12 ÷ 2 = 6, each part must have 6 squares.

Fraction representing one equal part = 1/2

---

Part 3: Shade the part that represents each part of the whole.

6. Hexagon divided into 6 equal triangles. We need to shade 1/6.
→ Shade just ONE of the six triangles.

7. Square divided into 8 equal triangles (by drawing both diagonals and lines from center to midpoints of sides? Actually, looks like it’s split into 8 identical right triangles).
We need to shade 1/8 → shade ONE triangle.

8. Circle divided into 8 equal slices (like a pizza). Shade 1/8.
→ Shade ONE slice.

---

Part 4: Divide the number line into the given number of equal lengths. Mark and label the given fraction.

9. Number line from 0 to 1. Given: 2 equal lengths, mark 1/2.
→ Put a tick mark exactly in the middle. Label it 1/2

10. Number line from 0 to 1. Given: 3 equal lengths, mark 2/3.
→ Divide the line into 3 equal parts. First mark at 1/3, second at 2/3, third at 1.
→ Put a tick at the second mark and label it 2/3

---

Now let’s compile the final answers clearly.

Final Answer:

1. Unequal
2. Equal; 1/8
3. Equal; 1/4
4. Draw line to split square into 2 equal halves; Fraction: 1/2
5. Draw line to split grid into 2 equal parts (each with 6 squares); Fraction: 1/2
6. Shade 1 out of 6 triangles in hexagon
7. Shade 1 out of 8 triangles in square
8. Shade 1 out of 8 slices in circle
9. Mark midpoint of 0–1 line and label 1/2
10. Divide 0–1 line into 3 equal parts, mark the second point and label 2/3