Drawing Pictures of Fractions
Drawing pictures of fractions is a Grade 4 visual skill in Saxon Math Intermediate 4 Chapter 3 that helps students represent fractions using shaded shapes. For a fraction a/b, students divide a shape into b equal parts and shade a of them. For example, to draw 2/3, divide a rectangle into 3 equal vertical strips and shade 2. For 3/4, draw a circle divided into 4 equal wedges and shade 3. The critical rule is that all parts must be exactly equal in size—unequal parts do not correctly represent a fraction.
Key Concepts
Property A fraction such as $\frac{a}{b}$ can be represented by dividing a whole shape into $b$ equal parts and then shading or selecting $a$ of those parts.
Examples To represent $\frac{2}{3}$ of a rectangle: Divide the rectangle into 3 equal vertical strips and then shade 2 of them. To show $\frac{3}{4}$ of a circle: Divide the circle into 4 equal wedges, like a pizza, and then shade 3 of the wedges. To draw $\frac{1}{2}$ of a square: Draw a single line down the middle to make two equal halves and shade one side.
Explanation Think of it like sharing a candy bar. To show $\frac{2}{3}$, you first break the bar into 3 perfectly equal pieces (that's the denominator!). Then, you get to point to 2 of those delicious pieces (the numerator). This turns abstract fraction numbers into an easy to see picture!
Common Questions
How do I draw a picture of the fraction 5/8?
Draw a rectangle and divide it into 8 equal parts. Shade 5 of those parts. The shaded region represents 5/8.
Why must all parts of a fraction model be equal in size?
A fraction describes equal parts of a whole. If the parts are unequal, the shaded section does not accurately represent the fraction.
Which number tells me how many parts to divide the shape into?
The denominator (bottom number) tells you the total number of equal parts. The numerator (top number) tells you how many parts to shade.
Can I use a circle to draw a fraction?
Yes. A circle divided into equal wedges is a common model for fractions, similar to slices of a pizza.
How do I draw 1/2 of a square?
Draw a line through the center of the square to create two equal halves, then shade one half.
What is the most common mistake when drawing fractions?
Making parts of unequal size. Students sometimes divide a shape by approximate position rather than exact equal division. Use rulers or count equal-width sections.