MP1 M6W9 Adding and Subtracting Fractions with Diagrams

Adding Fractions with Diagrams

Part 1

1. What are two things you notice on the applet above?

2. What do you think the circles represent?

3. What do you think will happen if you shift the blue circle right or left?

Part 2

4. Add [math]\frac{1}{3}[/math] and [math]\frac{2}{3}[/math]. Shift the blue circle to the right. Click on "Equivalent Fraction." What do you notice? What is the answer?

5. Add [math]\frac{1}{3}[/math] and [math]\frac{1}{4}[/math]. Click on "Equivalent Fraction." Shift the blue circle to the right. What do you notice? Why do you think we multiply times 3 and times 4? What is the answer?

6. Subtract [math]\frac{2}{3}[/math] and [math]\frac{1}{3}[/math]. Click on "Equivalent Fraction." Shift the blue circle to the right. What do you notice? What is the answer?

7. Subtract [math]\frac{3}{6}[/math] and [math]\frac{1}{4}[/math]. Click on "Equivalent Fraction." Shift the blue circle to the right. What do you notice? Why do you think we multiply times 2 and times 3? What is the answer?

Part 3

8. Find the answer to the problems below. [br]a) [math]\frac{1}{6}+\frac{2}{6}[/math][br][br]b) [math]\frac{2}{9}-\frac{1}{9}[/math][br][br]c) [math]\frac{1}{2}+\frac{2}{3}[/math][br][br]d) [math]\frac{3}{5}-\frac{1}{2}[/math]

Information: MP1 M6W9 Adding and Subtracting Fractions with Diagrams