CRAs for Classroom Use

Subjects:
Mathematics, Algebra I
CRA Description:
After researching the cost to attend a local community college, students will analyze two summer job scenarios to determine which scenario will net enough money to pay for a semester of college.
Subjects:
Mathematics, Pre-Calculus
CRA Description:
In this activity, students will explore the computation of area by calculating the cost of pools per square foot. They will start by looking at simple designs that incorporate shapes for which they can easily calculate the area. Next, they will calculate the area of more complicated pool shapes. Students are expected to struggle with finding the area of these shapes.
Subjects:
Mathematics, Geometry, Mathematical Models with Applications
CRA Description:
Students are asked to use their knowledge of circles, area of circles, and sectors to calculate probabilities found in games that involve circular targets and to design a target.
Subjects:
Mathematics, Algebra II, Mathematical Models with Applications
CRA Description:
Students work in small groups to create a scenario in which the standard (or metric) units must be converted to a newly invented system of measurement that students create. Students then collect data from an online source (e.g., weatherchannel.com) that applies to the scenario, and convert the data to their new system of measurement.
Subjects:
Independent Study, Mathematics, Algebra I, Algebra II
CRA Description:
A Universal Product Code (UPC) is found on most items you buy. The code is given as a bar code for instantaneous machine reading. But if the machine reader fails, then the code may be entered by a human being as a string of 11 digits followed by one more digit, called the “check digit” number. These 11 digits along with the check digit are found just below the bar code itself.
Subjects:
Independent Study, Cross-disciplinary, English Language Arts, Mathematics, Science, Social Studies
CRA Description:
This assignment asks students to access, evaluate, and make use of credible, appropriate websites and other internet resources for the purpose of targeted research. Using rubrics and guidelines, students will identify, collaboratively discuss, prioritize, and then defend web resources that will support their arguments and meet the criteria for credibility, validity, and reliability.
Subjects:
Mathematics, Mathematical Models with Applications
CRA Description:
Students will represent, compare, and analyze sales data from two businesses. In the process, students will calculate measures of central tendency and variability and interpret the results. Students will evaluate their data to make decisions and determine which company has the greatest income potential for a prospective employee.
Subjects:
Independent Study, Cross-disciplinary, English Language Arts, Mathematics, Science, Social Studies
CRA Description:
This assignment asks students to navigate and use textbooks at a college level. Final Product: Students will write a 2-page analysis of the textbook used in the exercise. They will analyze the textbook’s organization and its methods of presenting information, as well as discuss strategies a reader might use to comprehend and remember material from this text.
Subjects:
Mathematics, Pre-Calculus
CRA Description:
Understanding exponential and logarithmic functions is essential before learning Calculus. In this activity, students will consider these functions graphically and algebraically, and will consider their connection to investment.
Subjects:
Mathematics, Algebra II, Pre-Calculus
CRA Description:
Students represent a real-world scenario as a function and describe how changing the parameters of the function likewise transforms the scenario. Students perform transformations to the function and describe how the transformations affect all representations of the function (graph, table, function notation, and context).
Subjects:
Mathematics, Pre-Calculus
CRA Description:
Functions are one of the most important fundamental concepts in mathematics. In this activity, students will explore this concept from different perspectives.
Subjects:
Mathematics, Geometry, Mathematical Models with Applications
CRA Description:
Students will apply their understanding of probability, fairness, and area, and discover how these concepts are related. Students will evaluate fairness associated with various games of probability and explore how changing the parameters of a game will affect its fairness.
Subjects:
Mathematics, Algebra II, Pre-Calculus, Science, Chemistry, Physics
CRA Description:
This activity will show students the types of mathematics that show up very frequently in college science classes. They will be asked to solve for variables involving systems of equations as well as manipulate exponential and logarithmic expressions.
Subjects:
Mathematics, Algebra II
CRA Description:
Pattern recognition and symbolic representation of relationships are fundamental skills in mathematics, but sophisticated patterns can be difficult to discern and write down. This assignment challenges students to determine identities that govern given number patterns, and then express the identities algebraically.
Subjects:
Mathematics, Geometry, Mathematical Models with Applications
CRA Description:
Students propose an optimal location for an advanced medical center that will serve four Texas cities. Students use their knowledge of properties of triangles, convex quadrilaterals, circles, and geometric constructions using tools such as The Geometerʼs Sketchpad® and compass and straightedge.
Subjects:
Cross-disciplinary, English Language Arts, Mathematics, Science, Social Studies
CRA Description:
This activity challenges students to think about life after high school: Where do they hope to be? What do they want to be doing? More importantly, what is it going to take to get there, and what will the environment be like once they arrive?