Student pairs are given 10 minutes to create the biggest box possible …
Student pairs are given 10 minutes to create the biggest box possible using one piece of construction paper. Teams use only scissors and tape to each construct a box and determine how much puffed rice it can hold. Then, to meet the challenge, they improve their designs to create bigger boxes. They plot the class data, comparing measured to calculated volumes for each box, seeing the mathematical relationship. They discuss how the concepts of volume and design iteration are important for engineers. Making 3-D shapes also supports the development of spatial visualization skills. This activity and its associated lesson and activity all employ volume and geometry to cultivate seeing patterns and understanding scale models, practices used in engineering design to analyze the effectiveness of proposed design solutions.
In this project students are given a list of supplies and a …
In this project students are given a list of supplies and a budget and expected to build their dream home with no limitations. So they do have a certain amount set for their budget as well as certain things set with rooms and sizes other than that the sky is the limit for them!
In this task students determine the number of hundreds, tens and ones …
In this task students determine the number of hundreds, tens and ones that are necessary to write equations when some digits are provided. Students must, in some cases, decompose hundreds to tens and tens to ones.
Students will watch videos of candle burning as the vehicle to explore …
Students will watch videos of candle burning as the vehicle to explore line of best fit.
Learning Target: I will learn how to make predictions via interpolation and extrapolation using scatter plots and a line of best fit.
Success Criteria: Students will be able recognize that there is a strong correlation and causation between candle burning and time. They will also be able to develop an equation form a line of best fit.
This task operates at two levels. In part it is a simple …
This task operates at two levels. In part it is a simple exploration of the relationship between speed, distance, and time. Part (c) requires understanding of the idea of average speed, and gives an opportunity to address the common confusion between average speed and the average of the speeds for the two segments of the trip. At a higher level, the task addresses N-Q.3, since realistically neither the car nor the bus is going to travel at exactly the same speed from beginning to end of each segment; there is time traveling through traffic in cities, and even on the autobahn the speed is not constant. Thus students must make judgements about the level of accuracy with which to report the result.
This course provides an introduction to applied concepts in Calculus that are …
This course provides an introduction to applied concepts in Calculus that are relevant to the managerial, life, and social sciences. Students should have a firm grasp of the concept of functions to succeed in this course. Topics covered include derivatives of basic functions and how they can be used to optimize quantities such as profit and revenues, as well as integrals of basic functions and how they can be used to describe the total change in a quantity over time.
MATH&148 is a calculus course for business students. It is designed for …
MATH&148 is a calculus course for business students. It is designed for students who want a brief course in calculus. Topics include differential and integral calculus of elementary functions. Problems emphasize business and social science applications. Translating words into mathematics and solving word problems are emphasized over algebra. Applications are mainly business oriented (e.g. cost, revenue, and profit). Mathematical theory and complex algebraic manipulations are not mainstays of this course, which is designed to be less rigorous than the calculus sequence for scientists and engineers. Topics are presented according to the rule of four: geometrically, numerically, analytically, and verbally. That is, symbolic manipulation must be balanced with graphical interpretation, numerical examples, and writing. Trigonometry is not part of the course.
Introductory survey of quantitative methods (QM), or the application of statistics in …
Introductory survey of quantitative methods (QM), or the application of statistics in the workplace. Examines techniques for gathering, analyzing, and interpreting data in any number of fieldsĺÎĺ from anthropology to hedge fund management.
This task provides a good entry point for students into representing quantities …
This task provides a good entry point for students into representing quantities in contexts with variables and expressions and building equations that reflect the relationships presented in the context.
Students use a song activity with buttons and a 10 strip (provided …
Students use a song activity with buttons and a 10 strip (provided on website) to learn about ordinal numbers and directional terms. Students are set up in two lines facing each other and sing London Bridges. After students sing, teacher asks prompting and reflective questions using ordinal numbers and positional terms. Students then use a 10 strip with buttons to put the terms into practice themselves.
Statistics is the study of variability. Students who understand statistics need to …
Statistics is the study of variability. Students who understand statistics need to be able to identify and pose questions that can be answered by data that vary. The purpose of this task is to provide questions related to a particular context (a jar of buttons) so that students can identify which are statistical questions. The task also provides students with an opportunity to write a statistical question that pertains to the context.
This is a task where it would be appropriate for students to …
This is a task where it would be appropriate for students to use technology such as a graphing calculator or GeoGebra, making it a good candidate for students to engage in Standard for Mathematical Practice 5 Use appropriate tools strategically.
There are two aspects to fluency with division of multi-digit numbers: knowing …
There are two aspects to fluency with division of multi-digit numbers: knowing when it should be applied, and knowing how to compute it. While this task is very straightforward, it represents the kind of problem that sixth graders should be able to recognize and solve relatively quickly.
The emphasis in this task is on the progression of equations, from …
The emphasis in this task is on the progression of equations, from two that involve different values of the sales tax, to one that involves the sales tax as a parameter. It is designed to foster the habit of looking for regularity in solution procedures, so that students don't approach every equation as a new problem but learn to notice familiar types.
Includes chapters on: Basics of Geometry, Reasoning and Proof, Parallel and Perpendicular …
Includes chapters on: Basics of Geometry, Reasoning and Proof, Parallel and Perpendicular Lines, Triangles and Congruence, Relationships with Triangles, Polygons and Quadrilaterals, Similarity, Right Triangle Trigonometry, Circles, Perimeter and Area, Surface Area and Volume, Rigid Transformations.
Digital algebra tiles that can be used on grids, dot grids, expression …
Digital algebra tiles that can be used on grids, dot grids, expression mats, equation mats, comparison mats, cornerpieces. Has x, y, x, y, xy, and unit tiles. This is not a lesson to use, but only the resource that can be used.
This task was developed by high school and postsecondary mathematics and design/pre-construction …
This task was developed by high school and postsecondary mathematics and design/pre-construction educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.
This task was developed by high school and postsecondary mathematics and design/pre-construction …
This task was developed by high school and postsecondary mathematics and design/pre-construction educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.
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