Students gain experience and practice with three types of word problems using …
Students gain experience and practice with three types of word problems using the "Take From" context: result unknown, change unknown, and start unknown.
Your basketball team is down by one point! Your teammate, who makes …
Your basketball team is down by one point! Your teammate, who makes free throws about three-fourths of the time, is at the free-throw line. She gets a second shot if she makes the first one. Each free throw she makes is worth one point. If there is no time left, what are the chances you win the game without overtime?
This word problem is based estimating the height of a person over …
This word problem is based estimating the height of a person over time. Note that there is a significant amount of rounding in the final answer. This is because people almost never report their heights more precisely than the closest half-inch. If we assume that the heights reported in the task stem are rounded to the nearest half-inch, then we should report the heights given in the solution at the same level of precision.
The purpose of this task is to present students with a context …
The purpose of this task is to present students with a context that can naturally be represented with an inequality and to explore the relationship between the context and the mathematical representation of that context; thus, this is an intended as an instructional task.
This task uses language, "half of the stamps," that students in Grade …
This task uses language, "half of the stamps," that students in Grade 5 will come to associate with multiplication by the fraction 12. In Grade 3, many students will understand half of 120 to mean the number obtained by dividing 120 by 2. For students who are unfamiliar with this language the task provides a preparation for the later understanding that a fraction of a quantity is that fraction times the quantity.
This is a multi-step problem since it requires more than two steps …
This is a multi-step problem since it requires more than two steps no matter how it is solved. The problem is not scaffolded for the student, but each step is straightforward and should follow from the previous with a careful reading of the problem.
This course features a video review and an assessment practice of subtracting …
This course features a video review and an assessment practice of subtracting by crossing out with pictures for word problems. It is aimed at first grade math students.
This problem is the fifth in a series of seven about ratios. …
This problem is the fifth in a series of seven about ratios. In the first problem students define the simple ratios that exist among the three candidates. It opens an opportunity to introduce unit rates. The subsequent problems are more complex. In the second problem, students apply their understanding of ratios to combine two pools of voters to determine a new ratio. In the third problem, students apply a known ratio to a new, larger pool of voters to determine the number of votes that would be garnered.
This is the sixth problem in a series of seven that use …
This is the sixth problem in a series of seven that use the context of a classroom election. While it still deals with simple ratios and easily managed numbers, the mathematics surrounding the ratios are increasingly complex.
This is the last problem of seven in a series about ratios …
This is the last problem of seven in a series about ratios set in the context of a classroom election. Since the number of voters is not known, the problem is quite abstract and requires a deep understanding of ratios and their relationship to fractions.
This is the first and most basic problem in a series of …
This is the first and most basic problem in a series of seven problems, all set in the context of a classroom election. Every problem requires students to understand what ratios are and apply them in a context. The problems build in complexity and can be used to highlight the multiple ways that one can reason about a context involving ratios.
This is the second in a series of tasks that are set …
This is the second in a series of tasks that are set in the context of a classroom election. It requires students to understand what ratios are and apply them in a context. The simple version of this question just asked how many votes each gets. This has the extra step of asking for the difference between the votes.
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