This is a general collection of math resources. It is a large collection, but you can use the fliters on the left side of the screen to filter down to the specific education level you are looking for. (You are encouraged to filter by education level, not grade.)
This short video and interactive assessment activity is designed to teach first graders an overview of quarter-circles and semi-circles.
This short video and interactive assessment activity is designed to teach third graders about identifying the multiples of a given number.
This short video and interactive assessment activity is designed to teach third graders about identifying the properties of squares.
In this task, students use trigonometric functions to model the movement of a point around a wheel and, in the case of part (c), through space (F-TF.5). Students also interpret features of graphs in terms of the given real-world context (F-IF.4).
This is a direct task suitable for the early stages of learning about exponential functions. Students interpret the relevant parameters in terms of the real-world context and describe exponential growth.
Illuminations works to serve you by increasing access to quality standards-based resources for teaching and learning mathematics, including interactive tools for students and instructional support for teachers.
The website includes:
- Lesson plans
- Online math strategy games against a computer or other players across the world
- Activities
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An interactive applet and associated web page that demonstrate the incircle of a polygon - The largest circle the will fit inside a polygon that touches every side. The applet shows a polygon where the user can drag any vertex and change the number of sides. As they do so, the incircle is drawn for that polygon and the radius calculation is updated. Calculation can be turned off for class discussions. The text on the web page gives two formulae for calculating the inradius, depending on the initial givens. 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.
Students are asked to consider the expression that arises in physics as the combined resistance of two resistors in parallel. However, the context is not explicitly considered here. The task is good general preparation for problems more specifically aligned to either A-SSE.1 or A-SSE.2.
The purpose of this task is to help students see manipulation of expressions as an activity undertaken for a purpose.
In this activity, learners explore the size and scale of the universe by shrinking cosmic scale in 4 steps, zooming out from the realm of the Earth and Moon to the realm of the galaxies. This informational brochure was designed as a follow-up take-home activity for teen and adult audiences. It can follow informal education activities where participants have experienced related space science programming. This activity allows participants to explore ideas of size and scale in the universe at their own pace.
This short video and interactive assessment activity is designed to teach third graders about inequalities.
The purpose of this task is to probe students' ability to correlate symbolic statements about a function using function notation with a graph of the function, and to interpret their answers in terms of the quantities between which the function describes a relationship
An interactive applet and associated web page that demonstrate the inscribed angle of a circle - the angle subtended at the periphery by two points on the circle. The applet presents a circle with three points on it that can be dragged. The inscribed angle is shown and demonstrates that it is constant as the vertex is dragged. Links to other related topics such as Thales Theorem. 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.
This task shows how to inscribe a circle in a triangle using angle bisectors. A companion task, ``Inscribing a circle in a triangle II'' stresses the auxiliary remarkable fact that comes out of this task, namely that the three angle bisectors of triangle ABC all meet in the point O.
This task is primarily for instructive purposes but can be used for assessment as well. Parts (a) and (b) are good applications of geometric constructions using a compass and could be used for assessment purposes but the process is a bit long since there are six triangles which need to be constructed.
This task provides an opportunity for students to apply triangle congruence theorems in an explicit, interesting context.
This problem introduces the circumcenter of a triangle and shows how it can be used to inscribe the triangle in a circle. It also shows that there cannot be more than one circumcenter.
This task focuses on a remarkable fact which comes out of the construction of the inscribed circle in a triangle: the angle bisectors of the three angles of triangle ABC all meet in a point.
These strategies support active student participation in math lessons and allow teachers to assess the developing proficiency levels of all students in the class by walking around to monitor student responses. These strategies are especially effective during the Mental Math part of an Everyday Mathematics lesson.
This is a set of three, one-page problems about the size and area of solar panels used to generate power. Learners will will use integer arithmetic to tally the number of hydrogen, oxygen and carbon atoms in a molecule and determine the number of methane atoms that can result. Options are presented so that students may learn about how NASA is using signs of methane gas to search for life on other planets, such as Mars, through a NASA press release or about how astrobiologists who are looking for life beyond Earth are using spectroscopy to identify methane plumes on Mars by viewing a NASA eClips video [7 min.]. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school.