Learning Resource Type

Classroom Resource

Computer Science Principles Unit 3 Chapter 1 Lesson 2: The Need for Algorithms

Subject Area

Digital Literacy and Computer Science

Grade(s)

9, 10, 11, 12

Overview

This is the second day of a three-lesson sequence in which we attempt to show the "art" of programming and introduce the connection between programming and algorithms. In the previous lesson, we established the need for a common language to express algorithms to avoid ambiguity in how instructions would be interpreted. In this lesson, we continue to establish the connection between programming and algorithms, with more emphasis on the "art" of algorithms.

First, students are presented with a new task for the “human machine” - to write a set of instructions to identify the smallest (lowest value) card in a row of cards on the table. Once again we try to establish a set of fundamental commands for doing this and develop a more formal set of “low-level” commands for manipulating playing cards. Students are presented with a "Human Machine Language" that includes five commands and then must figure out how to use these primitive commands to “program” the same algorithm.

At the conclusion, several points about programming can be made, namely:

1. Different algorithms can be developed to solve the same problem.

2. Different programs can be written to implement the same algorithm.

Students will be able to:
- trace programs written in the "Human Machine Language".
- develop an algorithm to find the smallest playing card in a row of cards
- express an algorithm in the "Human Machine Language".
- identify the properties of sequencing, selection, and iteration the "Human Machine Language".
- evaluate the correctness of algorithms expressed in the "Human Machine Language".

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    Digital Literacy and Computer Science (2018) Grade(s): 09-12

    DLCS18.HS.3

    Differentiate between a generalized expression of an algorithm in pseudocode and its concrete implementation in a programming language.

    Unpacked Content

    UP:DLCS18.HS.3

    Vocabulary

    • pseudocode
    • programming language
    a.
    • approximated
    b.
    • iteration
    • conditional statements
    • control structures
    c.
    • iterative loop
    • selection constructs
    • recursion

    Knowledge

    Students know:
    • that differences exist in pseudocode and a programming language.
    • that programming languages have certain requirements for language and syntax.
    a.
    • that some programs cannot return a result in a reasonable time frame, therefore approximations must be allowed in those cases.
    b.
    • how to identify sequential statements, conditional statements, and/or iterations in code.
    • the differences between sequential statements, conditional statements, and/or iterations.
    • trade-offs exist with using one control structure over another.
    c.
    • some decisions in a program will require the use of iterative loops, selection constructs, or recursion.
    d.
    • programs can be written to satisfy a number of needs such as performance, reusability, and ease of implementation.
    • that most times, algorithms will differ based on the need of the program; performance, reusability, or ease of implementation.
    e.
    • that programs can be written with specific priorities in mind.
    • that there are multiple correct ways to write a program.
    • that solutions are often chosen to meet the priority need of the program.

    Skills

    Students are able to:
    • distinguish between a generalized expression of an algorithm in pseudocode and its concrete implementation in a programming language.
    • point out similarities in vocabulary and syntax between pseudocode and an algorithm.
    • point out differences in vocabulary and syntax between pseudocode and an algorithm.
    a.
    • explain that some algorithms do not lead to exact solutions in a reasonable amount of time and thus approximations are acceptable.
    b.
    • identify sequential statements, conditional statements, and/or iterations in code.
    • identify tradeoffs associated with using one control structure over another.
    c.
    • distinguish when a problem solution requires decisions to be made among alternatives or when a solution needs to be iteratively processed to arrive at a result.
    d.
    • evaluate and select algorithms based on performance, reusability, and ease of implementation.
    e.
    • explain how more than one algorithm may solve the same problem and yet be characterized with different priorities.

    Understanding

    Students understand that:
    • similarities and differences exist in pseudocode and programming code.
    • some programming languages more closely resemble pseudocode than do other programming languages.
    a.
    • due to time or financial constraints, some programs may return an approximation of a solution.
    b.
    • both benefits and drawbacks exist when selecting one control structure over another in a code.
    c.
    • programs can use multiple methods to arrive at a solution.
    d.
    • there are times when a program needs to be selected for a specific purpose, such as performance, reusability, and/or ease of implementation.
    e.
    • multiple algorithms can solve the same problem.
    • algorithms can operate with a specific priority in mind, such as speed, simplicity, and/or safety.
    Digital Literacy and Computer Science (2018) Grade(s): 09-12

    DLCS18.HS.4

    Use and adapt classic algorithms to solve computational problems.

    Unpacked Content

    UP:DLCS18.HS.4

    Knowledge

    Students know:
    • classic algorithms exist that can be used and adapted to meet one's needs.
    • that it can be easier to alter code than to create it from scratch.

    Skills

    Students are able to:
    • use and adapt classic algorithms to solve computational problems.

    Understanding

    Students understand that:
    • algorithms can be altered to fit another use than originally designed for.
    Link to Resource

    CR Resource Type

    Lesson/Unit Plan

    Resource Provider

    Code.org
    Accessibility
    License

    License Type

    Custom
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