All of us have felt sick at some point in our lives. Many times, we find ourselves asking, "What is the quickest way that I can start to feel better?" During this two-lesson unit, students study that question and determine which form of medicine delivery (pill, liquid, injection/shot) offers the fastest relief. This challenge question serves as a real-world context for learning all about flow rates. Students study how long various prescription methods take to introduce chemicals into our blood streams, as well as use flow rate to determine how increasing a person's heart rate can theoretically make medicines work more quickly. Students are introduced to engineering devices that simulate what occurs during the distribution of antibiotic cells in the body.

Working individually or in groups, students explore the concept of stress (compression) through physical experience and math. They discover why it hurts more to poke themselves with mechanical pencil lead than with an eraser. Then they prove why this is so by using the basic equation for stress and applying the concepts to real engineering problems.

This task provides students the opportunity to make use of units to find the gas need (N-Q.1). The key point is for them to explain their choices. This task provides an opportunity for students to practice MP2, Reason abstractly and quantitatively, and MP3, Construct viable arguments and critique the reasoning of others.

This lesson unit is intended to help teachers assess how well students are able to: model a periodic situation, the height of a person on a Ferris wheel, using trigonometric functions; and interpret the constants a, b, c in the formula h = a + b cos ct in terms of the physical situation, where h is the height of the person above the ground and t is the elapsed time.

The Financial Algebra Course engages students with real-world financial applications while maintaining deep mathematical rigor. The 10 units include: Taxes, Checking, Savings, Budgeting, Intro to Investing, Investing Strategies, Types of Credit, Managing Credit, Paying for College and Insurance.

This course will be heavily collaboration and project based. Students will be required to use google drive, docs and sheets on a regular basis. This course has a distinction of Algebra 1/Integrated 1 or higher. This is a good course for 11th and 12th grade students as an alternative to Integrated 3/Algebra 2.

Material Description

This resource is a financial calculator that students may use in a finance portion of a mathematics class, a mathematics portion of a business or finance class, or wherever the user may find it useful.

The calculator can find future value and payment/deposit amount of a savings annuity. It can also find present value and withdrawal/payment amount of a payout annuity/loan.

Context for sharing:

The calculator allows students to more quickly solve contextual problems related to personal finance including loans, investments, and amortization, which provides more instruction time for deeper contextual problems.

Additional information about the resource:

The calculator is written in python, hosted by Streamlit, and may be copied and remixed through Github.

Additional links:

Calculator: https://mrozinski10-financial-calc-main-xv3ljm.streamlit.app/

Github: https://github.com/mrozinski10/Financial-Calc

This resource is a financial calculator that students may use in a finance portion of a mathematics class, a mathematics portion of a business or finance class, or wherever the user may find it useful. The calculator can find future value and payment/deposit amount of a savings annuity. It can also find present value and withdrawal/payment amount of a payout annuity/loan.

This lesson unit is intended to help teachers assess how well students are able to understand the relationship between the slopes of parallel and perpendicular lines and, in particular, to help identify students who find it difficult to: find, from their equations, lines that are parallel and perpendicular; and identify and use intercepts. It also aims to encourage discussion on some common misconceptions about equations of lines.

In this task students have the opportunity to construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

This tasks examines how to calculate the area of an equilateral triangle using high school geometry.

The purpose of this task is to introduce the idea of the domain of a function by linking it to the evaluation of an expression defining the function. By thinking through the evaluation step by step, students isolate the exact point where a given input results in an undefined output. In part (b), any domain that excludes x=3 is possible. It is conventional when given a function defined by an expression to take the domain to be the largest possible, but it is worth pointing that this is a convention, not a mathematical fact. As students gain a mature understanding of functions they learn that the domain is something that is specified when you define the function, it does not come already attached.

This task is the last in a series of three tasks that use inequalities in the same context at increasing complexity in 6th grade, 7th grade and in HS algebra. Students write and solve inequalities, and represent the solutions graphically. The progression of the content standards is 6.EE.8 to 7.EE.4 to A-REI.12.

Khan Academy tutorial video that uses Excel spreadsheet and actual income data to predict annual income and expresses why lines and models are useful and interesting.

This learning video presents an introduction to the Flaws of Averages using three exciting examples: the ''crossing of the river'' example, the ''cookie'' example, and the ''dance class'' example. Averages are often worthwhile representations of a set of data by a single descriptive number. The objective of this module, however, is to simply point out a few pitfalls that could arise if one is not attentive to details when calculating and interpreting averages. The essential prerequisite knowledge for this video lesson is the ability to calculate an average from a set of numbers. During this video lesson, students will learn about three flaws of averages: (1) The average is not always a good description of the actual situation, (2) The function of the average is not always the same as the average of the function, and (3) The average depends on your perspective. To convey these concepts, the students are presented with the three real world examples mentioned above.

This activity is a guided inquiry on surface tension where students design their own lab experiment based on a focus question, make predictions, collect data and compare the outcome with their predictions.

Mathematics facts are important but the memorization of math facts through times table repetition, practice and timed testing is unnecessary and damaging. Math facts, themselves, are a small part of mathematics and they are best learned through the use of numbers in different ways and situations. Unfortunately many classrooms focus on math facts in unproductive ways, giving students the impression that math facts are the essence of mathematics, and, even worse that the fast recall of math facts is what it means to be a strong mathematics student. Both of these ideas are wrong and it is critical that we remove them from classrooms, as they play a large role in the production of math anxious and disaffected students.

The purpose of this problem is to have students compose functions using tables of values only.

The football team's bench fell apart at the game. We need to design and build a prototype for a new bench using the properties of congruent triangles and/or parallel lines.

The football team's bench fell apart at the game. We need to design and build a prototype for a new bench using the properties of congruent triangles and/or parallel lines.