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Destination Math Teacher Support
To find support materials for sessions in this course, including lesson plans and student handouts, you will need to select the module tab below and then the unit and session underneath.
 
COURSE
Mastering Algebra I: Course II
Click on a Course below to see a list of available Lesson Plans

The Real Number System
Powers and Polynomials
Quadratic Functions and Equations
Algebraic Expressions and Functions
Describing Data

THE REAL NUMBER SYSTEM
Unit 1.1 Rational and Irrational Numbers
Session 3 The Square Root Function


Tutorial

Learning Objectives
  • Graph a finite set of ordered pairs .
  • Graph the square root function.
  • Identify the domain, range, and equation of the square root function.
  • Examine the effect of a on the graph of  .

    Overview
    We look at the graph of the square root of numbers. We recognize that this graph is a function and examine how this function can be used to measure the speed of a large ocean wave.

    Keywords
    square root, domain, range, interpolate, extrapolate, parameter, non-linear function


  • Workout

    Question 1
    We identify some ordered pairs that satisfy Galileo¹s relation for the time it takes an object to fall and the distance it falls and plot them on a graph of the corresponding function.

    Objectives

  • Graph a finite set of ordered pairs .
  • Graph the square root function.

    Difficulty Level 2


    Question 2
    We identify the equations of square root functions that correspond to each of three different graphs.

    Objectives
  • Graph the square root function.
  • Examine the effect of a on the graph .

    Difficulty Level 2


    Question 3
    We identify the domain and range of a square root function which relates the height of a periscope above water to the distance the periscope user can see.

    Objectives
  • Identify the domain, range, and equation of the square root function.
  • Examine the effect of a on the graph .

    Difficulty Level 3


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