Unit 8 - Lesson 15 - Grade 8: Illustrative Mathematics

Why is \sqrt{2} between 1 and 2 on the number line?

Why is \sqrt{2} between 1.4 and 1.5 on the number line?

How can you figure out an approximation for \sqrt{2} accurate to 3 decimal places?

Elena notices a beaker in science class says it has a diameter of 9 cm and measures its circumference to be 28.3 cm. What value do you get for π using these values and the equation for circumference,

Diego learned that one of the space shuttle fuel tanks had a diameter of 840 cm and a circumference of 2,639 cm. What value do you get for π using these values and the equation for circumference,

How can you explain the differences between these calculations of π?

Is x a rational number?

Is y a rational number?

Which is larger, x or y?