In the task "Carbon 14 Dating'' the amount of Carbon 14 in …
In the task "Carbon 14 Dating'' the amount of Carbon 14 in a preserved plant is studied as time passes after the plant has died. In practice, however, scientists wish to determine when the plant died and, as this task shows, this is not possible with a simple measurement of the amount of Carbon 14 remaining in the preserved plant. The equation for the amount of Carbon 14 remaining in the preserved plant is in many ways simpler here, using 12 as a base.
This problem introduces the method used by scientists to date certain organic …
This problem introduces the method used by scientists to date certain organic material. It is based not on the amount of the Carbon 14 isotope remaining in the sample but rather on the ratio of Carbon 14 to Carbon 12. This ratio decreases, hypothetically, at a constant exponential rate as soon as the organic material has ceased to absorb Carbon 14, that is, as soon as it dies. This problem is intended for instructional purposes only. It provides an interesting and important example of mathematical modeling with an exponential function.
This exploratory task requires the student to use a property of exponential …
This exploratory task requires the student to use a property of exponential functions in order to estimate how much Carbon 14 remains in a preserved plant after different amounts of time.
Students will collaboratively design and construct a cardboard boat using a variety …
Students will collaboratively design and construct a cardboard boat using a variety of tools and methods which will float and hold 1 human in the school pool.
Students will collaboratively design and construct a cardboard boat using a variety …
Students will collaboratively design and construct a cardboard boat using a variety of tools and methods which will float and hold 1 human in the school pool.
Students will collaboratively design and construct a cardboard boat using a variety …
Students will collaboratively design and construct a cardboard boat using a variety of tools and methods which will float and hold 1 human in the school pool.
This is a lesson plan connecting careers to a science lesson about …
This is a lesson plan connecting careers to a science lesson about the removal of invasive species. It involves guest speakers, hands-on invasive species removal experience for learners, and opportunities for extension and learning more about careers related to the environment, science, and invasive species removal.
“Students are introduced to a new routine called Questions About Us. In …
“Students are introduced to a new routine called Questions About Us. In this version, they figure out how many students are in the classroom today. Students then count objects in different collections in a way that makes sense to them.” Finally, students synthesize their learning by considering careers which require counting skills.
In this lesson, students learn about the structure of picture graphs and …
In this lesson, students learn about the structure of picture graphs and bar graphs, the features of graphs that help communicate information clearly, and the information they can learn by analyzing a graph. Students learn that a key is the part of a picture graph that tells what each picture represents. Students contextualize and make sense of the data through the lens of an emerging career in Health Sciences.
“This opening lesson invites students to experiment with expressions and equations to …
“This opening lesson invites students to experiment with expressions and equations to model a situation. Students think about relevant quantities, whether they might be fixed or variable, and how they might relate to one another. They make assumptions and estimates, and use numbers and letters to represent the quantities and relationships. The lesson also draws attention to the idea of constraints and how to represent them.” Through mathematical modeling, students will consider the costs of hosting a pizza party and consider how this relates to a career in the Business Administration-Finance regional career pathway.
In this lesson, students will learn what a scaled drawing is. They …
In this lesson, students will learn what a scaled drawing is. They will describe characteristics of scaled copies and distinguish between scaled and unscaled drawings. Finally, students will connect their learning to the workplace and identify careers in the Architecture & Construction industry which use scaled drawings. LESSON LINKED BELOW
Students will review the relationship between dollars and cents, identify different types …
Students will review the relationship between dollars and cents, identify different types of coins, and use percentages and number lines to understand the value of a dollar. The application of this learning will be done through the lens of in-demand careers in the Business, Management, & Administration career pathway (page 16).
“In this lesson, students see that the principles and strategies they used …
“In this lesson, students see that the principles and strategies they used to reason about scaled copies are applicable to scale drawings (MP7). For example, previously they saw scale factor as a number that describes how lengths in a figure correspond to lengths in a copy of the figure (and vice versa). Now they see that scale serves a similar purpose: it describes how the lengths in an actual object are related to the lengths on a drawn representation of it. They learn that scale can be expressed in a number of ways, and use scale and scale drawings to find actual and scaled lengths.” Students will apply their knowledge of scaled drawings to understand tasks associated with careers in the Health Sciences career pathway (page 28).
Measurement and common math are required to perform your job duties in …
Measurement and common math are required to perform your job duties in nearly every aspect of conveyor manufacturing. I have compiled a list of skills relating to math and measurement that are essential for successful job performance. This include being able to:
Read a tape measure accurately Add or subtract fractions Convert fractions to decimal form Use a decimal equivalent card or chart (drill gage)
This multi-disciplinary career exploration unit builds on lesson plans available through the …
This multi-disciplinary career exploration unit builds on lesson plans available through the Michigan Agriculture in the Classroom website. Students will spend a week investigating different aspects of agriculture careers, while incorporating skills from math, English, and social studies. The unit culminates in a "Day in the Life" summative writing assignment.
In this task, students can see that if the price level increases …
In this task, students can see that if the price level increases and peopleŐs incomes do not increase, they arenŐt able to purchase as many goods and services; in other words, their purchasing power decreases.
The goal of this class is to prove that category theory is …
The goal of this class is to prove that category theory is a powerful language for understanding and formalizing common scientific models. The power of the language will be tested by its ability to penetrate into taken-for-granted ideas, either by exposing existing weaknesses or flaws in our understanding, or by highlighting hidden commonalities across scientific fields.
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