Mathematics - Computer Mathematics

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Poyen School

Poyen School Curriculum K - 12 2007-2008

Mathematics - Computer Mathematics

Printable Version

Data Manipulation and Testing | Problem Solving | Program Design | Program Implementation

Problem Solving

Design & implementation of computer
The learner will be able to analyze and interpret graphs, charts, and tables in the design and implementation of a computer program.

Strand	Bloom's	Scope	Hours	Source	Activities
Logical Reasoning Skills: Math Models		Master	1.0	2004 Arkansas Mathematics Frameworks PS.1.CM.1	Classroom

Write an algorithm
The learner will be able to write an algorithm to solve mathematical problems using formulas, equations, and functions.

Strand	Bloom's	Scope	Hours	Source	Activities
Logical Reasoning Skills: Math Models		Master	1.0	2004 Arkansas Mathematics Frameworks PS.1.CM.2	Classroom

Boolean Operators
The learner will be able to analyze and interpret truth tables from basic statements using Boolean operators (AND, OR, XOR, and NOT).

Strand	Bloom's	Scope	Hours	Source	Activities
Logical Reasoning Skills: Math Models		Master	1.0	2004 Arkansas Mathematics Frameworks PS.1.CM.3	Classroom

Algorithm: Math Model
The learner will be able to write an algorithm from a mathematical model.

Strand	Bloom's	Scope	Hours	Source	Activities
Logical Reasoning Skills: Math Models		Master	1.0	4	Classroom

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Program Design

Translate math to computer statement
The learner will be able to translate a mathematical expression into a computer statement, which involves writing assignment statements using the order of operations.

Strand	Bloom's	Scope	Hours	Source	Activities
Design plan to solve problems		Master	1.0	2004 Arkansas Mathematics Frameworks PD.2.CM.1	Classroom

Implement conditional statements
The learner will be able to implement conditional statements that include if/then/else, case statements, and Boolean logic.

Strand	Bloom's	Scope	Hours	Source	Activities
Design plan to solve problems		Master	1.0	2004 Arkansas Mathematics Frameworks PD.2.CM.2	Classroom

Decision and Sequence
The learner will be able to define and differentiate Decision (selection) and Sequence (process).

Strand	Bloom's	Scope	Hours	Source	Activities
Design plan to solve problems		Master	1.0	2004 Arkansas Mathematics Frameworks PD.2.CM.3	Classroom

Flowchart and pseudocode
The learner will be able to the student will represent an algorithm representation as a flowchart and in pseudocode.

Strand	Bloom's	Scope	Hours	Source	Activities
Design plan to solve problems		Master	1.0	2004 Arkansas Mathematics Frameworks PD.2.CM.4	Classroom

Flowchart terminology
The learner will be able to use flowchart terminology, such as terminals (starts and stops), subroutines, and connectors.

Strand	Bloom's	Scope	Hours	Source	Activities
Design plan to solve problems		Master	1.0	2004 Arkansas Mathematics Frameworks PD.2.CM.5	Classroom

Develop recursive relationships
The learner will be able to develop recursive relationships from mathematical models (e.g. arithmetic and geometric sequences).

Strand	Bloom's	Scope	Hours	Source	Activities
Design plan to solve problems		Master	1.0	2004 Arkansas Mathematics Frameworks PD.2.CM.6	Classroom

Variable data types
The learner will be able to define and use variable data types (integers, real, character).

Strand	Bloom's	Scope	Hours	Source	Activities
Design plan to solve problems		Master	1.0	2004 Arkansas Mathematics Frameworks PD.2.CM.7	Classroom

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Program Implementation

Create an array
The learner will be able to using a spreadsheet program, create and array.

Strand	Bloom's	Scope	Hours	Source	Activities
Worksheet functions to program		Master	1.0	2004 Arkansas Mathematics Frameworks PI.3.CM.1	Classroom

Recursions and loops
The learner will be able to create functions using recursions and loops.

Strand	Bloom's	Scope	Hours	Source	Activities
Worksheet functions to program		Master	1.0	2004 Arkansas Mathematics Frameworks PI.3.CM.2	Classroom

Implement worksheet functions
The learner will be able to locate, categorize, and implement worksheet functions.

Strand	Bloom's	Scope	Hours	Source	Activities
Worksheet functions to program		Master	1.0	2004 Arkansas Mathematics Frameworks PI.3.CM.3	Classroom

Constraints
The learner will be able to create constraints to validate cell entries.\.

Strand	Bloom's	Scope	Hours	Source	Activities
Worksheet functions to program		Master	1.0	2004 Arkansas Mathematics Frameworks PI.3.CM.4	Classroom

Sort data: bubble, quick, shell
The learner will be able to using a spreadsheet program, sort data using various methods (e.g., bubble, quick, and shell).

Strand	Bloom's	Scope	Hours	Source	Activities
Worksheet functions to program		Master	1.0	2004 Arkansas Mathematics Frameworks PI.3.CM.5	Classroom

Utilize an array
The learner will be able to create, edit, and execute a program utilizing an array.

Strand	Bloom's	Scope	Hours	Source	Activities
Programming tool: Create programs		Master	1.0	2004 Arkansas Mathematics Frameworks PI.4.CM.1	Classroom

Loops
The learner will be able to create, edit, and execute programs using loops.

Strand	Bloom's	Scope	Hours	Source	Activities
Programming tool: Create programs		Master	1.0	2004 Arkansas Mathematics Frameworks PI.4.CM.2	Classroom

Programs to execute math formulas
The learner will be able to create, edit, and execute programs to calculate mathematical formulas, such as the quadratic formula, and volume of a simple solid.

Strand	Bloom's	Scope	Hours	Source	Activities
Programming tool: Create programs		Master	1.0	2004 Arkansas Mathematics Frameworks PI.4.CM.3	Classroom

Functional programs
The learner will be able to develop functional programs from algorithms developed from the mathematical models.

Strand	Bloom's	Scope	Hours	Source	Activities
Programming tool: Create programs		Master	1.0	2004 Arkansas Mathematics Frameworks PI.4.CM.4	Classroom

Display modes
The learner will be able to create programs using various display modes (including tables and graphs).

Strand	Bloom's	Scope	Hours	Source	Activities
Programming tool: Create programs		Master	1.0	2004 Arkansas Mathematics Frameworks PI.4.CM.5	Classroom

Programming commands
The learner will be able to locate, categorize, and implement programming commands.

Strand	Bloom's	Scope	Hours	Source	Activities
Programming tool: Create programs		Master	1.0	2004 Arkansas Mathematics Frameworks PI.4.CM.6	Classroom

Subroutines to reduce keystrokes/memory
The learner will be able to use subroutines to reduce keystrokes and memory use.

Strand	Bloom's	Scope	Hours	Source	Activities
Programming tool: Create programs		Master	1.0	2004 Arkansas Mathematics Frameworks PI.4.CM.7	Classroom

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Data Manipulation and Testing

Name a range
The learner will be able to name a range (one cell or a group of cells) and use the name to select cells.

Strand	Bloom's	Scope	Hours	Source	Activities
Manipulate data: Test programs		Master	1.0	2004 Arkansas Mathematics Frameworks DMT.5.CM.1	Classroom

Scenario tool
The learner will be able to using the Scenario tool, estimate best-case or worst-case scenarios.

Strand	Bloom's	Scope	Hours	Source	Activities
Manipulate data: Test programs		Master	1.0	2004 Arkansas Mathematics Frameworks DMT.5.CM.2	Classroom

Compare results
The learner will be able to compare results from mathematical formulas to their program equivalent.

Strand	Bloom's	Scope	Hours	Source	Activities
Manipulate Data:Test Programs:calculator		Master	1.0	2004 Arkansas Mathematics Frameworks DMT.6.CM.1	Classroom

Troubleshooting techniques
The learner will be able to identify and eliminate error messages using troubleshooting techniques (debug).

Strand	Bloom's	Scope	Hours	Source	Activities
Manipulate Data:Test Programs:calculator		Master	1.0	2004 Arkansas Mathematics Frameworks DMT.6.CM.2	Classroom

Error types
The learner will be able to understand and differentiate the different error types (syntax, runtime, and logic).

Strand	Bloom's	Scope	Hours	Source	Activities
Manipulate Data:Test Programs:calculator		Master	1.0	2004 Arkansas Mathematics Frameworks DMT.6.CM.3	Classroom

Scenarios
The learner will be able to design and investigate best-case and worst-case scenarios of a program.

Strand	Bloom's	Scope	Hours	Source	Activities
Manipulate Data:Test Programs:calculator		Master	1.0	2004 Arkansas Mathematics Frameworks DMT.6.CM.4	Classroom

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