The purpose of this task is to give 4th grade students a …
The purpose of this task is to give 4th grade students a problem involving an unknown quantity that has a clear visual representation. Students must understand that the four interior angles of a rectangle are all right angles and that right angles have a measure of 90_ and that angle measure is additive.
An interactive applet and associated web page that provide step-by-step instructions on …
An interactive applet and associated web page that provide step-by-step instructions on how to find the center of a circle using only a compass and straightedge. The method used involves constructing the perpendicular bisectors of two random chords. The bisectors intersect at the center of the circle. The animation can be run either continuously like a video, or single stepped to allow classroom discussion and thought between steps. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
The purpose of this task is to introduce the idea of the …
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 helps students solidify their understanding of linear functions and push …
This task helps students solidify their understanding of linear functions and push them to be more fluent in their reasoning about slope and y-intercepts. This task has also produced a reasonable starting place for discussing point-slope form of a linear equation.
This task "Uses facts about supplementary, complementary, vertical, and adjacent angles in …
This task "Uses facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure (7.G.5)" except that it requires students to know, in addition, something about parallel lines, which students will not see until 8th grade.
This task asks students to solve addition and subtraction equations with different …
This task asks students to solve addition and subtraction equations with different structures so that they are able to see the connections between addition and subtraction more easily.
In this task students are asked to write an equation to solve …
In this task students are asked to write an equation to solve a real-world problem. There are two natural approaches to this task. In the first approach, students have to notice that even though there is one variable, namely the number of firefighters, it is used in two different places. In the other approach, students can find the total cost per firefighter and then write the equation.
The First Grade Elementary Framework for Science and Integrated Subjects, Sky Explorers …
The First Grade Elementary Framework for Science and Integrated Subjects, Sky Explorers uses observation of the sun and moon in the sky as a phenomena for exploring patterns of objects in the sky. It is part of Elementary Framework for Science and Integrated Subjects project, a statewide Clime Time collaboration among ESD 123, ESD 105, North Central ESD, and the Office of Superintendent of Public Instruction. Development of the resources is in response to a need for research- based science lessons for elementary teachers that are integrated with English language arts, mathematics and other subjects such as social studies. The template for Elementary Science and Integrated Subjects can serve as an organized, coherent and research-based roadmap for teachers in the development of their own NGSS aligned science lessons. Lessons can also be useful for classrooms that have no adopted curriculum as well as to serve as enhancements for current science curriculum. The EFSIS project brings together grade level teams of teachers to develop lessons or suites of lessons that are 1) pnenomena based, focused on grade level Performance Expectations, and 2) leverage ELA and Mathematics Washington State Learning Standards.
Students will illustrate a two digit number in a variety of forms. …
Students will illustrate a two digit number in a variety of forms. Students will write them number, draw it using tens frames, draw it using place value blocks, write the value of the number (____ tens and _____ones), write an addition sentence using the illustration of place value blocks.
This task is the first in a series of three tasks that …
This task is the first 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.
This task is the second in a series of three tasks that …
This task is the second 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.
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 can be used to both assess student understanding of systems …
This task can be used to both assess student understanding of systems of linear equations or to promote discussion and student thinking that would allow for a stronger solidification of these concepts.
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