Author:
Hannah Hynes-Petty
Subject:
Mathematics
Material Type:
Assessment, Homework/Assignment
Level:
High School
Tags:
  • Washington Office of Superintendent of Public Instruction
  • wa-math
    License:
    Creative Commons Attribution
    Language:
    English, Armenian
    Media Formats:
    Downloadable docs

    Education Standards

    OSPI Statistics and Geometry Instructional Task: Measuring Angles

    OSPI Statistics and Geometry Instructional Task: Measuring Angles

    Overview

     This resource was created by the Washington Office of Superintendent of Public Instruction. 

    Task

    OSPI Statistics and Geometry Instructional Task D

    Statistics and Geometry; Standards G-SRT.6, Claim 3B; G-SRT.8, Claim 1

    Measuring Angles

    From a point 120 m away from a building, Serena measures the angle between the ground and the top of a building and finds it measures 41˚.

    Serena wants to determine the height, y, of the building. She claims she canangle use the cosine of the 41˚ angle to determine z and then use the sine of the 41˚ angle to determine y.

    • Justify or refute her claim. Show your reasoning using numbers and words.
    • Find the height of the building using another method. Show your work. Round to nearest meter.

    Rubric

    Rubric

    Question Number

    Standard/Claim

    Description

    D

    G-SRT.6/Claim 3B

    G-SRT.8/Claim 1

    A 2-point response demonstrates reasonable understanding of the standards and claims by doing all the following:

    • States that Serena could use this method to find the height of the building.
    • Provides supporting reasoning that by finding z, z can be used to determine y.
    • Shows another method for finding y.

    States a whole number value in interval [104, 106] meters.

    A 1-point response demonstrates partial understanding of the standards and claims by doing two of the following:

    • States that Serena could use this method to find the height of the building.
    • Provides supporting reasoning that by finding z, z can be used to determine y.
    • Shows another method for finding y.

    States a whole number value in interval [104, 106] meters.

    A 0-point response demonstrates almost no understanding of the standards and claims.

     

     

    OSPI Statistics and Geometry Instructional Task D Exemplar

    OSPI Statistics and Geometry Instructional Task D

    Statistics and Geometry; Standards G-SRT.6, Claim 3B; G-SRT.8, Claim 1

    Measuring Angles

    From a point 120 m away from a building, Serena measures the angle between the ground and the top of a building and finds it measures 41˚.

    Serena wants to determine the height, y, of the building. She claims she canangle use the cosine of the 41˚ angle to determine z and then use the sine of the 41˚ angle to determine y.

    • Justify or refute her claim. Show your reasoning using numbers and words.
    • Find the height of the building using another method. Show your work. Round to nearest meter.
    • This method would work although it would take longer. She could find  to find z.

    In this case,    Then she can use the z and find   

     

    So Serena could use this method to find y.

     meters