MVP Module 7 Lesson 2 MVP NC Math

MVP Module 7 Lesson 2 MVP NC Math 2 2019 -20

READY? Topic: Solving a system of Equations Pre. K-12 Mathematics

Pre. K-12 Mathematics

Pre. K-12 Mathematics

Pre. K-12 Mathematics

Pre. K-12 Mathematics

Lesson Essential Question Pre. K-12 Mathematics

Lesson 2: Root Variations A Solidify Understanding Task Pre. K-12 Mathematics

Calculate the period of a swing that is 9 feet long. If you double the length of the swing, will you double the length of time it takes for one period? _____ Why or why not (that is, provide evidence for your claim)? How much longer do you need to make the 9 -foot long swing to double its period? How many times longer do you need to make the 9 -foot long swing to double its period?

How many times longer do you need to make the 9 -feet long swing to triple its period? In general, if you want to extend the period of the 9 -foot long swing by a factor of n, how much longer do you need to make the pendulum?

Describe how a ride on a swing transported from earth to Jupiter without adjustment would compare to the ride experienced on the same swing on Earth.

Tehani has inspected Taska’s work and has several changes she wants made to various swings around the playground. Since each swing that needs to be adjusted is of a different length, she has written her instruction using x to represent the original length of the swing before the desired adjustment. Interpret the following notation in terms of what Taska is being asked to adjust. Be specific, in terms of the context, be describing what quantity needs to be changed and by how much, including units.

The Language of Proportionality Relationships ( or Variation)

While the period of a swing equation is not a direct variation, scientists use the language of proportionality to describe this type of relationship using the language, “The period of a swing is proportional to the square root of the length. ” We might wonder why this is called a proportionality relationship since doubling the length of the swing does not double the period, etc. However, this statement is not about the relationship between the quantities period and length, but rather the quantities period and square root of the length.

Examine the two tables and graphs given below. Which table illustrates a direct variation? Which graph illustrates a direct variation? _____ How do you know?

SET? Topic: Examining the square root function

GO! Topic: Finding perfect square trinomials

Find each product.

What is the square root of x 2? Find the square root.

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