# Test the solution to the design problem.

## Definition

Testing should include using mathematical, conceptual, and/or physical modeling, simulating, and optimizing. It should also include- determining the objectives for an engineering test of the solution to the design problem (explain a successful test)
- determining the model type(s) to use, based on the identified goals and constraints
- explaining what each model type will show or accomplish
- creating the model or prototype in accordance with a plan
- applying mathematical formulas, as applicable.

## Process/Skill Questions

- What factors contribute to selection of a model type?
- What constraints should one consider when selecting a model type?
- How does one determine which model type will produce the most robust solution?
- How can one create a mathematical model from the techniques available?
- Why is a plan for a model needed before one begins construction?

## Related Standards of Learning

## English

### 9.5

The student will read and analyze a variety of nonfiction texts.

- Apply knowledge of text features and organizational patterns to understand, analyze, and gain meaning from texts.
- Make inferences and draw conclusions based on explicit and implied information using evidence from text as support.
- Analyze the author’s qualifications, viewpoint, and impact.
- Recognize an author’s intended purpose for writing and identify the main idea.
- Summarize, paraphrase, and synthesize ideas, while maintaining meaning and a logical sequence of events, within and between texts.
- Identify characteristics of expository, technical, and persuasive texts.
- Identify a position/argument to be confirmed, disproved, or modified.
- Evaluate clarity and accuracy of information.
- Analyze, organize, and synthesize information in order to solve problems, answer questions, complete a task, or create a product.
- Differentiate between fact and opinion and evaluate their impact.
- Analyze ideas within and between selections providing textual evidence.
- Use the reading strategies to monitor comprehension throughout the reading process.

### 10.5

The student will read, interpret, analyze, and evaluate nonfiction texts.

- Analyze text features and organizational patterns to evaluate the meaning of texts.
- Recognize an author’s intended audience and purpose for writing.
- Skim materials to develop an overview and locate information.
- Compare and contrast informational texts for intent and content.
- Interpret and use data and information in maps, charts, graphs, timelines, tables, and diagrams.
- Draw conclusions and make inferences on explicit and implied information using textual support as evidence.
- Analyze and synthesize information in order to solve problems, answer questions, and generate new knowledge.
- Analyze ideas within and between selections providing textual evidence.
- Summarize, paraphrase, and synthesize ideas, while maintaining meaning and a logical sequence of events, within and between texts.
- Use reading strategies throughout the reading process to monitor comprehension.

### 11.5

The student will read, interpret, analyze, and evaluate a variety of nonfiction texts including employment documents and technical writing.

- Apply information from texts to clarify understanding of concepts.
- Read and correctly interpret an application for employment, workplace documents, or an application for college admission.
- Analyze technical writing for clarity.
- Paraphrase and synthesize ideas within and between texts.
- Draw conclusions and make inferences on explicit and implied information using textual support.
- Analyze multiple texts addressing the same topic to determine how authors reach similar or different conclusions.
- Analyze false premises, claims, counterclaims, and other evidence in persuasive writing.
- Recognize and analyze use of ambiguity, contradiction, paradox, irony, sarcasm, overstatement, and understatement in text.
- Generate and respond logically to literal, inferential, evaluative, synthesizing, and critical thinking questions about the text(s).

## Mathematics

### A.4

The student will solve

- multistep linear and quadratic equations in one variables algebraically;
- quadratic equations in one variables algebraically;
- literal equations for a specified variable;
- systems of two linear equations in two variables algebraically and graphically; and
- practical problems involving equations and systems of equations.

### AII.3

The student will solve

- absolute value linear equations and inequalities;
- quadratic equations over the set of complex numbers;
- equations containing rational algebraic expressions; and
- equations containing radical expressions.

## Science

### PH.1

The student will plan and conduct investigations using experimental design and product design processes. Key concepts include

- the components of a system are defined;
- instruments are selected and used to extend observations and measurements;
- information is recorded and presented in an organized format;
- the limitations of the experimental apparatus and design are recognized;
- the limitations of measured quantities are recognized through the appropriate use of significant figures or error ranges;
- models and simulations are used to visualize and explain phenomena, to make predictions from hypotheses, and to interpret data; and
- appropriate technology including computers, graphing calculators, and probeware is used for gathering and analyzing data and communicating results.