Many students will not know that when comparing two quantities, the percent …
Many students will not know that when comparing two quantities, the percent decrease between the larger and smaller value is not equal to the percent increase between the smaller and larger value. Students would benefit from exploring this phenomenon with a problem that uses smaller values before working on this one.
In this task students are required to compare numbers that are identified …
In this task students are required to compare numbers that are identified by word names and not just digits. The order of the numbers described in words are intentionally placed in a different order than their base-ten counterparts so that students need to think carefully about the value of the numbers.
In this task students are required to compare numbers that are identified …
In this task students are required to compare numbers that are identified by word names and not just digits. The order of the numbers described in words are intentionally placed in a different order than their base-ten counterparts so that students need to think carefully about the value of the numbers.
Students rewrite quadratic expressions given in standard form, + + (with ≠…
Students rewrite quadratic expressions given in standard form, + + (with ≠1), as equivalent expressions in completed square form, - + . They build quadratic expressions in basic business application contexts and rewrite them in equivalent forms.
This problem is intended to reinforce the geometric interpretation of distance between …
This problem is intended to reinforce the geometric interpretation of distance between complex numbers and midpoints as modulus of the difference and average respectively.
This task develops reasoning behind the general formula for balances under continuously …
This task develops reasoning behind the general formula for balances under continuously compounded interest. While this task itself specifically addresses the standard (F-BF), building functions from a context, a auxiliary purpose is to introduce and motivate the number e, which plays a significant role in the (F-LE) domain of tasks.
In this lesson, students will learn the steps involved in computational thinking. …
In this lesson, students will learn the steps involved in computational thinking. Decomposition, pattern matching, abstraction, and algorithms are all steps that make up the computational thinking process. This process is used in many learning subjects and in real-life learning. Learners discover how understanding each step can help them as a learner and also nurture a growth mindset.
This course covers the analytical, graphical, and numerical methods supporting the analysis …
This course covers the analytical, graphical, and numerical methods supporting the analysis and design of integrated biological systems. Topics include modularity and abstraction in biological systems, mathematical encoding of detailed physical problems, numerical methods for solving the dynamics of continuous and discrete chemical systems, statistics and probability in dynamic systems, applied local and global optimization, simple feedback and control analysis, statistics and probability in pattern recognition.
Spreadsheets Across the Curriculum module. Students build spreadsheets to find dosages in …
Spreadsheets Across the Curriculum module. Students build spreadsheets to find dosages in mL/admin from prescription in mg/day/kg and admins/day; body weight in lbs; and concentration in mg/mL.
The purpose of this series of tasks is to build in a …
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. The purpose of this first task is to see the relationship between the side-lengths of a cube and its volume.
The purpose of this series of tasks is to build in a …
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. In this iteration, we do away with the lines that delineate individual unit cubes (which makes it more abstract) and generalize from cubes to rectangular prisms.
The purpose of this series of tasks is to build in a …
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. Here, we are given the volume and are asked to find the height.
The purpose of this series of tasks is to build in a …
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. This problem is based on ArchimedesŐ Principle that the volume of an immersed object is equivalent to the volume of the displaced water.
Covers computational and data analysis techniques for environmental engineering applications. First third …
Covers computational and data analysis techniques for environmental engineering applications. First third of subject introduces MATLAB and numerical modeling. Second third emphasizes probabilistic concepts used in data analysis. Final third provides experience with statistical methods for analyzing field and laboratory data. Numerical techniques such as Monte Carlo simulation are used to illustrate the effects of variability and sampling. Concepts are illustrated with environmental examples and data sets. This subject is a computer-oriented introduction to probability and data analysis. It is designed to give students the knowledge and practical experience they need to interpret lab and field data. Basic probability concepts are introduced at the outset because they provide a systematic way to describe uncertainty. They form the basis for the analysis of quantitative data in science and engineering. The MATLABĺ¨ programming language is used to perform virtual experiments and to analyze real-world data sets, many downloaded from the web. Programming applications include display and assessment of data sets, investigation of hypotheses, and identification of possible casual relationships between variables. This is the first semester that two courses, Computing and Data Analysis for Environmental Applications (1.017) and Uncertainty in Engineering (1.010), are being jointly offered and taught as a single course.
This familiar game can be played by one or two players taking …
This familiar game can be played by one or two players taking turns. Players choose to match equivalent representations of numbers, shapes, fractions, or multiplication facts. The game can be played in clear pane mode, or for added challenge, with the windows closed.
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