# CTE Resource Center - Verso - Inventions and Innovations Task 2023997744

# Construct a model or a prototype of an invention and/or innovation.

## Definition

Construction should include a model that can be assessed or a prototype that can be tested.

## Process/Skill Questions

• What information can be gained from a model?
• What information can be gained from a prototype?
• How can a model or prototype be tested?

## Mathematics

### 6.2

The student will
1. represent and determine equivalencies among fractions, mixed numbers, decimals, and percents; and
2. compare and order positive rational numbers.

### 6.5

The student will
1. multiply and divide fractions and mixed numbers;
2. solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers; and
3. solve multistep practical problems involving addition, subtraction, multiplication, and division of decimals.

### 6.7

The student will
1. derive π (pi);
2. solve problems, including practical problems, involving circumference and area of a circle; and
3. solve problems, including practical problems, involving area and perimeter of triangles and rectangles.

### 6.8

The student will
1. identify the components of the coordinate plane; and
2. identify the coordinates of a point and graph ordered pairs in a coordinate plane.

### 7.2

The student will solve practical problems involving operations with rational numbers.

### 7.3

The student will solve single-step and multistep practical problems, using proportional reasoning.

### 7.4

The student will
1. describe and determine the volume and surface area of rectangular prisms and cylinders; and
2. solve problems, including practical problems, involving the volume and surface area of rectangular prisms and cylinders.

### 7.5

The student will solve problems, including practical problems, involving the relationship between corresponding sides and corresponding angles of similar quadrilaterals and triangles.

### 8.6

The student will
1. solve problems, including practical problems, involving volume and surface area of cones and square-based pyramids; and
2. describe how changing one measured attribute of a rectangular prism affects the volume and surface area.

### 8.7

The student will
1. given a polygon, apply transformations, to include translations, reflections, and dilations, in the coordinate plane; and
2. identify practical applications of transformations.

### 8.8

The student will construct a three-dimensional model, given the top or bottom, side, and front views.

### 8.9

The student will
1. verify the Pythagorean Theorem; and
2. apply the Pythagorean Theorem.

## Science

### 6.1

The student will demonstrate an understanding of scientific reasoning, logic, and the nature of science by planning and conducting investigations in which
1. observations are made involving fine discrimination between similar objects and organisms;
2. precise and approximate measurements are recorded;
3. scale models are used to estimate distance, volume, and quantity;
4. hypotheses are stated in ways that identify the independent and dependent variables;
5. a method is devised to test the validity of predictions and inferences;
6. one variable is manipulated over time, using many repeated trials;
7. data are collected, recorded, analyzed, and reported using metric measurements and tools;
8. data are analyzed and communicated through graphical representation;
9. models and simulations are designed and used to illustrate and explain phenomena and systems; and
10. current applications are used to reinforce science concepts.

### LS.1

The student will demonstrate an understanding of scientific reasoning, logic, and the nature of science by planning and conducting investigations in which
1. data are organized into tables showing repeated trials and means;
2. a classification system is developed based on multiple attributes;
3. triple beam and electronic balances, thermometers, metric rulers, graduated cylinders, and probeware are used to gather data;
4. models and simulations are constructed and used to illustrate and explain phenomena;
5. sources of experimental error are identified;
6. dependent variables, independent variables, and constants are identified;
7. variables are controlled to test hypotheses, and trials are repeated;
8. data are organized, communicated through graphical representation, interpreted, and used to make predictions;
9. patterns are identified in data and are interpreted and evaluated; and
10. current applications are used to reinforce life science concepts.

### PS.1

The student will demonstrate an understanding of scientific reasoning, logic, and the nature of science by planning and conducting investigations in which
1. chemicals and equipment are used safely;
2. length, mass, volume, density, temperature, weight, and force are accurately measured;
3. conversions are made among metric units, applying appropriate prefixes;
4. triple beam and electronic balances, thermometers, metric rulers, graduated cylinders, probeware, and spring scales are used to gather data;
5. numbers are expressed in scientific notation where appropriate;
6. independent and dependent variables, constants, controls, and repeated trials are identified;
7. data tables showing the independent and dependent variables, derived quantities, and the number of trials are constructed and interpreted;
8. data tables for descriptive statistics showing specific measures of central tendency, the range of the data set, and the number of repeated trials are constructed and interpreted;
9. frequency distributions, scatterplots, line plots, and histograms are constructed and interpreted;
10. valid conclusions are made after analyzing data;
11. research methods are used to investigate practical problems and questions;
12. experimental results are presented in appropriate written form; and
13. models and simulations are constructed and used to illustrate and explain phenomena;
14. current applications of physical science concepts are used.