Students learn about four forms of equations: direct variation, slope-intercept form, standard …
Students learn about four forms of equations: direct variation, slope-intercept form, standard form and point-slope form. They graph and complete problem sets for each, converting from one form of equation to another, and learning the benefits and uses of each.
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.
In this measurement lesson plan students use their estimation and reasoning skills …
In this measurement lesson plan students use their estimation and reasoning skills to develop benchmarks for an ounce and a pound. Students test the accuracy of their estimates using a scale and give themselves a score based on how close they came to the desired weight (an ounce or a pound). This lesson plan includes a student data collection worksheet (PDF).
Continues 18.100. Roughly half the subject devoted to the theory of the …
Continues 18.100. Roughly half the subject devoted to the theory of the Lebesgue integral with applications to probability, and half to Fourier series and Fourier integrals.
The images on this google slide show are best used in the …
The images on this google slide show are best used in the context of a number talk where children are gathered in a common space and know the routine of sharing thoughts and ideas. Teachers use talk moves to keep the dialogue going among and between student, focusing on mathematical ideas and vocabulary found within the images. The teacher’s role is to facilitate the conversation, allowing a forum for the sharing of important ideas.
There is a natural (and complicated!) predator-prey relationship between the fox and …
There is a natural (and complicated!) predator-prey relationship between the fox and rabbit populations, since foxes thrive in the presence of rabbits, and rabbits thrive in the absence of foxes. However, this relationship, as shown in the given table of values, cannot possibly be used to present either population as a function of the other. This task emphasizes the importance of the "every input has exactly one output" clause in the definition of a function, which is violated in the table of values of the two populations.
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.
Using this tool, students build these classic fractals: the Koch snowflake, a …
Using this tool, students build these classic fractals: the Koch snowflake, a fractal tree, a reduced square, and the Sierpinksi triangle. As these shapes grow and change using an iterative process, students can observe patterns in the images created and in the table of values as the fractals progress through several stages.
In this lesson plan students use fraction bars to explore and compare …
In this lesson plan students use fraction bars to explore and compare the sizes of fractions. The lesson includes an activity sheet, answer key, guiding questions and prompts, assessment options and extensions, and a link to Fraction Feud, an interactive game (cataloged separately and listed as a related resource).
This applet allows students to individually practice working with relationships among fractions …
This applet allows students to individually practice working with relationships among fractions and ways of combining fractions. It is an online, one person game, with immediate feedback on incorrect moves. All instructions for this fun visual game are included and illustrated.
Match shapes and numbers to earn stars in this fractions game. Challenge …
Match shapes and numbers to earn stars in this fractions game. Challenge yourself on any level you like. Try to collect lots of stars! The main topics of this interactive simulation include fractions, equivalent fractions, and mixed numbers.
Explore different representations for fractions. This applet allows students to create a …
Explore different representations for fractions. This applet allows students to create a fraction,then see it as a visual model, and as percent and decimal equivalents. They can choose the model to be a circle, a rectangle, or a set model. Intended for the young learner, this version restricts the numerator to values from 0 to 20, and the denominator to benchmark values of 1, 2, 4, 5, 8, 10 and 20.
This is a 4th grade unit interview assessment for geometry. Instead of …
This is a 4th grade unit interview assessment for geometry. Instead of giving a "standardized assessment", this is an interview that covers all of the 4th grade geometry standards. You as a teacher have a chance to see each individual student work through problems and have them explain their thinking. It is extremely easy to spot where their deficiencies are and be able to give them extra help in those areas.
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