This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Use the unit circle and indicated triangle below to find the exact value of the sine and cosine of the special angle $\pi/4.$...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: In this task, you will show how all of the sum and difference angle formulas can be derived from a single formula when combined with relations you have...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The points on the graphs and the unit circle below were chosen so that there is a relationship between them. Explain the relationship between the coord...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: In the triangle pictured above show that \left(\frac{|AB|}{|AC|}\right)^2 + \left(\frac{|BC|}{|AC|}\right)^2 = 1 Deduce that $\sin^2{\theta} + \cos^2{\...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Below is a picture of a right triangle with $a$ the measure of angle $A$: Joyce knows that the sine of $a$ is the length of the side opposite $A$ divid...
This lesson asks students to delve into the contributions of historical mathemticians. …
This lesson asks students to delve into the contributions of historical mathemticians. Students will use a variety of Mac tools such as pages, keynote, imovie, and garageband to prepare their presentation.
This video is a lesson I did with my Secondary 3 Honors …
This video is a lesson I did with my Secondary 3 Honors class that is a pre-lesson to graphing rational functions. In this video, we identify the horizontal and vertical asymptotes, holes, domain and range, and the x and y intercepts of rational functions.
Link to Notes: https://docs.google.com/document/d/15piFqeyzd1eedxOSn8Re-MORko0qEwOa6X777KmG4to/view?usp=sharing
Link to Graphs: https://jamboard.google.com/d/1lp-bLCRCYtcJWaNrF3Zgr3L6V8gvyTZHL9NcLRp3JRM/view?usp=sharing
Link to Homework: https://drive.google.com/file/d/1dvVaqL5FOmUu0MUSP5xbF4QARO0xiP-D/view?usp=sharing
This lesson includes a video lesson I did with my Secondary 3 Honors …
This lesson includes a video lesson I did with my Secondary 3 Honors class that is a pre-lesson to graphing rational functions. In this video, we identify the horizontal and vertical asymptotes, holes, domain and range, and the x and y intercepts of rational functions. There is guided notes, a homework assignment, and a bell quiz also attached.
This is a lesson plan that helps students identify the features of …
This is a lesson plan that helps students identify the features of rational functions before they graph the rational functions. They will identify the holes, horizontal and vertical asymptotes, domain and range, and the x and y intercepts.
This task provides students the opportunity to make use of units to …
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.
In this task students have the opportunity to construct linear and exponential …
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).
In this video segment from Cyberchase, Harry has a fixed budget for …
In this video segment from Cyberchase, Harry has a fixed budget for clothing, so he must figure out what combination of jackets and pants he can buy with $100.
This task is the last in a series of three tasks that …
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.
This task contrasts the usefulness of four equivalent expressions. Students first have …
This task contrasts the usefulness of four equivalent expressions. Students first have to confirm that the given expressions for the radioactive substance are equivalent. Then they have to explain the significance of each expression in the context of the situation.
The example of rabbits and foxes was introduced in the task (8-F …
The example of rabbits and foxes was introduced in the task (8-F Foxes and Rabbits) to illustrate two functions of time given in a table. We are now in a position to actually model the data given previously with trigonometric functions and investigate the behavior of this predator-prey situation.
The example of rabbits and foxes was introduced in 8-F Foxes and …
The example of rabbits and foxes was introduced in 8-F Foxes and Rabbits to illustrate two functions of time given in a table. The same situation was used in F-TF Foxes and Rabbits 2 to find trigonometric functions modeling the data in the table. The previous situation was somewhat unrealistic since we were able to find functions that fit the data perfectly. In this task, on the other hand, we do some legitimate modelling, in that we come up with functions that approximate the data well, but do not perfectly match, the given data.
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