East Carolina University

 

Learning Modules Mapped to Curriculum

Excel

Solid Modeling

Biomechanics

Robotics 


Excel

Module

Excel

Course

NCSCOS

Objective

Content

Resources

Lesson 3: Introduction to Data Collection

 

 

 

 

 

Tech Math I

1.01 Apply various techniques and strategies to solve problems.

Data collection

Organize data

Excel

 

AFM

1.02 Summarize and analyze univariate data to solve problems.

 

Biology

1.02

 

Chemistry

1.01

 

Earth Science

1.02

 

Physical Science

1.02

 

Physics

1.02

 

AP Biology

1.02

 

AP Chemistry

1.01

 

AP Environmental Science

1.02

 

AP Physics B

1.02

 

AP Physics C

1.07

  

Module

Excel

Course

NCSCOS

Objective

Content

Resources

Lesson 4: Learning about Functions in Excel

 

 

 

 

 

Tech Math I

1.01 Apply various techniques and strategies to solve problems.

Data collection

Organize data

Interpret

Excel

 

AFM

1.02 Summarize and analyze univariate data to solve problems.

 

Module

Excel

Course

NCSCOS

Objective

Content

Resources

Lesson 5: Writing Formulas: Using Equations to Calculate Data in Excel

 

 

 

 

 

Tech Math I

1.01 Apply various techniques and strategies to solve problems.

Displaying data

Excel

 

Biology

1.02

 

Chemistry

1.01

 

Earth Science

1.02

 

Physical Science

1.02

 

Physics

1.02

 

AP Biology

1.02

 

AP Chemistry

1.01

 

AP Environmental Science

1.02

 

AP Physics B

1.02

 

AP Physics C

1.07

 

Module

Excel

Course

NCSCOS

Objective

Content

Resources

Lesson 6: Creating basic charts (graphs) in Excel

 

 

 

 

 

Tech Math I

1.01 Apply various techniques and strategies to solve problems.

Displaying data

Excel

 

Module

Excel

Course

NCSCOS

Objective

Content

Resources

Lesson 8: Graphing equations using scatter plots

 

 

 

 

 

Algebra I

3.03 Create linear models for sets of data to solve problems.

Scatterplots

Trend lines

Excel

 

Algebra II

2.04 Create and use best-fit mathematical models of linear, exponential, and quadratic functions to solve problems involving sets of data.                      

 

Tech Math II

2.03 Create, interpret, and analyze best-fit models of linear, exponential, and quadratic functions to solve problems.

 

Biology

1.02

 

Chemistry

1.01

 

Earth Science

1.02

 

Physical Science

1.02

 

Physics

1.02

 

AP Biology

1.02

 

AP Chemistry

1.01

 

AP Environmental Science

1.02

 

AP Physics B

1.02

 

AP Physics C

1.07

 

Module

Excel

Course

NCSCOS

Objective

Content

Resources

Lesson 9: Using Excel to Explore and Analyze Sequences

 

 

 

 

 

Algebra I

3.03 Create linear models for sets of data to solve problems.

Sequence

Recursion

Converge

Diverge

Excel

 

AFM

2.05 Use recursively-defined functions to model and solve problems.

 

Discrete Math

3.01 Use recursion to model and solve problems.

 

Module

Excel

Course

NCSCOS

Objective

Content

Resources

Lesson 10: Descriptive Analysis of Real Data Using Range, Mean & Median

 

 

 

 

 

Algebra I

3.03 Create linear models for sets of data to solve problems.

Data collection

Analysis

Predict with data

Excel

 

Algebra II

2.04 Create and use best-fit mathematical models of linear, exponential, and quadratic functions to solve problems involving sets of data.                      

 

Tech Math I

1.01 Apply various techniques and strategies to solve problems.

 

Tech Math II

2.03 Create, interpret, and analyze best-fit models of linear, exponential, and quadratic functions to solve problems.

 

Biology

1.02

 

Chemistry

1.01

 

Earth Science

1.02

 

Physical Science

1.02

 

Physics

1.02

 

AP Biology

1.02

 

AP Chemistry

1.01

 

AP Environmental Science

1.02

 

AP Physics B

1.02

 

AP Physics C

1.07

 


Solid Modeling

Module

Solid Modeling

Course

NCSCOS

Objective

Content

Resources

Lesson 1: Introductory Part Modeling

 

 

 

 

 

Geometry

1.02 Use length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

Volume

Surface Area

x, y, z axis

Center of mass

Symmetry

Revolve region about the axis

Solid Works

 

 

2.04 Develop and apply properties of solids to solve problems.

 

Tech Math I

2.01 Select and use appropriate tools to measure two- and three-dimensional figures; interpret and communicate results with regard to precision.

 

 

2.03 Use the length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

 

Calculus

3.04 Define and use appropriate integrals in a variety of applications.

 

Physics

2.04


 


 

Module

Solid Modeling

Course

NCSCOS

Objective

Content

Resources

Lesson 2: Introductory Assembly Modeling

 

 

 

 

 

Algebra I

4.01 Use linear functions or inequalities to model and solve problems; justify results.

3-D construction

Problem solving

Solving equations

Solid Works

 

Tech Math I

1.01 Apply various techniques and strategies to solve problems.

 

 

2.03 Use the length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.


 

Module

Solid Modeling

Course

NCSCOS

Objective

Content

Resources

Lesson 3: 4-Bar Linkage Assembly

 

 

 

 

 

Algebra I

4.01 Use linear functions or inequalities to model and solve problems; justify results.

Solid Works

4-Bar Assembly

 

Physical Science

2.01, 2.02, 3.04

 

Physics

2.02, 2.04, 3.01, 3.02, 3.04, 7.01


 

Module

Solid Modeling

Course

NCSCOS

Objective

Content

Resources

Lesson 4: 4-Bar Linkage Analysis

 

 

 

 

 

AFM

2.04 Use trigonometric (sine, cosine) functions to model and solve problems; justify results.

Trig ratios

Law of Sine/Cosines

Solid Works

4-Bar Assembly

 

Pre Calculus

2.02 Use trigonometric and inverse trigonometric functions to model and solve problems; justify results.

 

Physical Science

2.01, 2.02, 3.04

 

Physics

2.02, 2.04, 3.01, 3.02, 3.04, 7.01


 

Module

Solid Modeling

Course

NCSCOS

Objective

Content

Resources

Lesson 5: Planes in Space

 

 

 

 

 

Algebra I

4.03 Use systems of linear equations or inequalities in two variables to model and solve problems. Solve using tables, graphs, and algebraic properties; justify results.

System of equations

Matrices

Solid Works

 

Algebra II

1.04 Operate with matrices to model and solve problems.

 

 

2.10 Use systems of two or more equations or inequalities to model and solve problems; justify results. Solve using tables, graphs, matrix operations, and algebraic properties.

 

Tech Math II

2.04 Use systems of equations and inequalities to model and solve problems using tables, graphs, matrix operations, and algebraic properties; justify results.

 

Physical Science

2.01

 

 

AP Physics B

2.01

 


 

Module

Solid Modeling

Course

NCSCOS

Objective

Content

Resources

Lesson 6: Atomic Packing

 

 

 

 

 

Geometry

1.02 Use length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

Volume

Ratios

3-D Problem solving

Solid Works

Jar of marbles

 

 

2.04 Develop and apply properties of solids to solve problems.

 

Tech Math I

1.01 Apply various techniques and strategies to solve problems.

 

 

2.03 Use the length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

 

Chemistry

2.01, 2.02

 

Earth Science

2.01

 

Physical Science

2.01, 5.02, 5.03

 

Physics

3.01, 3.02, 3.03, 3.04

 

AP Chemistry

3.03


 

Module

Solid Modeling

Course

NCSCOS

Objective

Content

Resources

Lesson 7: 3-D Mapping

 

 

 

 

 

Tech Math I

2.01 Select and use appropriate tools to measure two- and three-dimensional figures; interpret and communicate results with regard to precision.

Map

Contour lines

2-D to 3-D images

Solid Works

Map (optional)

 

 

2.02 Interpret and construct maps and scale drawings to solve problems.

 

Earth Science

2.05

 

AP Environmental Science

2.03


 

Module

Solid Modeling

Course

NCSCOS

Objective

Content

Resources

Lesson 8: Relative Motion

 

 

 

 

 

Pre Calculus

1.03 Operate with vectors in two dimensions to model and solve problems.

Velocity

Angular velocity

acceleration

Solid Works

 

Earth Science

6.02, 6.04

 

Physical Science

2.02, 2.02

 

Physics

2.01, 2.02, 2.04, 3.xx. 4.xx;

 

AP Environmental Science

8.01, 8.02

 

Biomechanics

Module

Biomechanics

Course

NCSCOS

Objective

Content

Resources

Coming Down

 

 

 

 

 

Algebra II

2.04 Create and use best-fit mathematical models of linear, exponential, and quadratic functions to solve problems involving sets of data.

Data collection

Analysis

Ball drop

Conservation of energy

Motion sensor

Ball

 

Tech Math II

2.03 Create, interpret, and analyze best-fit models of linear, exponential, and quadratic functions to solve problems.

 

AFM

1.01 Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, and logarithmic functions of bivariate data to solve problems.

 

Pre Calculus

2.03 For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions.

 

Physical Science

2.02, 3.02

 

Physics

2.xx, 4.xx, 6.xx

 

AP Physics B 2.xx

2.xx


 

Module

Biomechanics

Course

NCSCOS

Objective

Content

Resources

Cool Your Newtons

 

 

 

 

 

Algebra II

2.04 Create and use best-fit mathematical models of linear, exponential, and quadratic functions to solve problems involving sets of data.                      

Data collection

Analysis

Exponential functions

Relative temperature

Newton’s law of cooling

Temp sensor

Ice

 

Tech Math II

2.03 Create, interpret, and analyze best-fit models of linear, exponential, and quadratic functions to solve problems.

 

AFM

1.01 Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, and logarithmic functions of bivariate data to solve problems.

 

Pre Calculus

2.03 For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions.

 

Calculus

2.06 Apply the derivative in graphing and modeling contexts.

 

 

3.04 Define and use appropriate integrals in a variety of applications.

 

Physical Science

3.01, 3.03

 

Physics

6.01, 6.02

 

AP Environmental Science

2.01

 

AP Physics B

3.02, 3.03


 

Module

Biomechanics

Course

NCSCOS

Objective

Content

Resources

Flexibility Analysis

 

 

 

 

 

Tech Math I

1.01 Apply various techniques and strategies to solve problems.

Data collection

Univariate data Analysis

 

Goniometer

 

AFM

1.02 Summarize and analyze univariate data to solve problems.

 

Discrete Math

2.01 Describe data to solve problems.

 

Physical Science

2.02, 3.02

 

 

Physics

3.xx

 

 

AP Physics B

2.05

 


 

Module

Biomechanics

Course

NCSCOS

Objective

Content

Resources

Going Up

 

 

 

 

 

Algebra I

1.03 Model and solve problems using direct variation.

Work

Power

Data collection

Analysis

Angles

Goniometer

Stairs

 

 

Algebra II

1.05 Model and solve problems using direct, inverse, combined and joint variation

 

 

2.04 Create and use best-fit mathematical models of linear, exponential, and quadratic functions to solve problems involving sets of data.

 

Tech Math II

2.03 Create, interpret, and analyze best-fit models of linear, exponential, and quadratic functions to solve problems.

 

AFM

1.01 Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, and logarithmic functions of bivariate data to solve problems.

 

Pre Calculus

2.03 For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions.

 

Physical Science

2.02, 3.01, 3.02

 

Physics

2.xx, 4.xx, 6.03, 6.04

 

AP Physics B

2.xx


 

Module

Biomechanics

Course

NCSCOS

Objective

Content

Resources

Muscle Fatigue

 

 

 

 

 

Algebra I

3.03 Create linear models for sets of data to solve problems.

Data collection

Analysis

Interpret the graph

Dynamometer

Ice water

 

Tech Math II

2.03 Create, interpret, and analyze best-fit models of linear, exponential, and quadratic functions to solve problems.

 

Biology

2.xx

 

Physical Science

3.xx

 

Physics

2.xx, 6.xx

 

AP Physics B

2.02, 2.03, 3.02


 

Module

Biomechanics

Course

NCSCOS

Objective

Content

Resources

Where Ya Going

 

 

 

 

 

Pre Calculus

1.03 Operate with vectors in two dimensions to model and solve problems.

Vectors

Velocity

Displacement

Speed

Meter stick

Stopwatch

 

 

Physics

2.xx, 3.03


 

Module

Biomechanics

Course

NCSCOS

Objective

Content

Resources

Polymer Power

 

 

 

 

 

Algebra II

2.04 Create and use best-fit mathematical models of linear, exponential, and quadratic functions to solve problems involving sets of data.

Data collection

Analysis

Trend lines

Boric acid

Warm water

White glue

Ruler

Ziploc bags

 

 

Tech Math II

2.03 Create, interpret, and analyze best-fit models of linear, exponential, and quadratic functions to solve problems.

 

AFM

1.01 Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, and logarithmic functions of bivariate data to solve problems.

 

Pre Calculus

2.03 For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions.

 

Chemistry

2.03, 2.04, 2.07

 

AP Chemistry

2.xx


 

Module

Biomechanics

Course

NCSCOS

Objective

Content

Resources

Got Gait?

 

 

 

 

 

Algebra I

3.03 Create linear models for sets of data to solve problems.

Slope as velocity

Interpret graph in context

Large roll of black paper

Baby powder

Meter stick

Stopwatch

 

Physical Science

2.01

 

Physics

2.xx


 

Module

Biomechanics

Course

NCSCOS

Objective

Content

Resources

Gait Variety Pack

 

 

 

 

 

Calculus

2.06 Apply the derivative in graphing and modeling contexts

Linear velocity

Angular velocity

Application of derivative

Goniometer

Meter stick

Stopwatch

 

 

Physical Science

2.xx

 

Physics

2.xx, 3.04

 

AP Physics B

2.01


 

Module

Biomechanics

Course

NCSCOS

Objective

Content

Resources

Error and Variability in Muscle Force I

 

 

 

 

 

AFM

1.02 Summarize and analyze univariate data to solve problems.

Data collection

Analysis

Standard deviation

Coefficient of variation

Dynamometer

 

 

Discrete Math

2.01 Describe data to solve problems.

 

AP Stats

1.01 Summarize distributions of univariate data by determining and interpreting measures of center, spread, position, boxplots, and effects of changing units on summary measures.

 

Physical Science

2.xx, 3.02

 

Physics

6.03


 

Module

Biomechanics

Course

NCSCOS

Objective

Content

Resources

Error and Variability in Muscle Force II

 

 

 

 

 

Tech Math II

2.03 Create, interpret, and analyze best-fit models of linear, exponential, and quadratic functions to solve problems.

Data collection

Analysis

Interpret a graph

Riemann sum

Force platform

 

AFM

1.01 Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, and logarithmic functions of bivariate data to solve problems.

 

Pre Calculus

2.03 For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions.

 

Calculus

3.01 Explore and interpret the concept of the definite integral.

 

Physical science

2.xx, 3.02

 

Physics

2.xx, 4,02, 4.03

 Robotics

Module


Robotics

Course

NCSCOS


Objective

Content

Resources

Day 1:
Microcontrollers and robotics

 

 

 

 

 

Physical Science

1.04

 

 

 

 

2.01

 

 

 

 

2.02

 

 

 

 

3.01

 

 

 

 

3.02

 

 

 

 

3.03

 

 

 

 

3.04

 

 

 

 

4.01

 

 

 

 

4.02

 

 

 

 

4.03

 

 

 

Physics

2.01

 

 

 

 

2.02

 

 

 

 

2.03

 

 

 

 

2.04

 

 

 

 

8.01

 

 

 

 

8.02

 

 

 

 

8.03

 

 

 

 

8.04

 

 

 

Module


Robotics

Course

NCSCOS


Objective

Content

Resources

Day 2:
Robot Construction

 

 

 

 

 

Physical Science

2.01

 

 

 

 

2.02

 

 

 

Physics

2.01

 

 

 

 

2.02

 

 

 

 

2.03

 

 

 

 

2.04

 

 

 

 

3.04

 

 

 

 

5.02

 

 

 

 

8.01

 

 

 

 

8.02

 

 

 

 

8.03

 

 

 

 

8.04

 

 

 

Module


Robotics

Course

NCSCOS


Objective

Content

Resources

Day 3:
Robot Programming

 

 

 

 

 

Physical Science

1.01

 

 

 

 

1.02

 

 

 

 

1.03

 

 

 

 

1.04

 

 

 

 

2.01

 

 

 

 

2.02

 

 

 

 

3.02

 

 

 

 

3.04

 

 

 

 

4.01

 

 

 

 

4.02

 

 

 

 

4.03

 

 

 

Physics

1.01

 

 

 

 

1.02

 

 

 

 

1.03

 

 

 

 

1.04

 

 

 

 

2.01

 

 

 

 

2.03

 

 

 

 

2.04

 

 

 

 

3.04

 

 

 

 

4.06

 

 

 

 

5.02

 

 

 

 

5.03