Question

order up!
a. order the angle measures from smallest to largest

smallest

• 180^circ
• \frac{5\pi}{4} radians
• \frac{2\pi}{3} radians

largest

b. reflect: what strategies did you use to determine the order?

Explanation:

Convert radian measures to degrees

$$
LATEXBLOCK0
$$

Compare all angle measures

$$
LATEXBLOCK1
$$

Formulate reflection strategy

$$ \text{Convert all measures to degrees to compare them using a common unit.} $$

Answer:

Question a

• SMALLEST
• \(\frac{2\pi}{3}\) radians
• \(180^\circ\)
• \(\frac{5\pi}{4}\) radians
• LARGEST

Question b

To order the angle measures, convert all values into degrees so they share a common unit, then compare their numerical values.