Illustrative Mathematics
Illustrative Mathematics: G Mg How Many Leaves on a Tree?
This is a mathematical modeling task aimed at making a reasonable estimate for something which is too large to count accurately, the number of leaves on a tree, taking into account the tree size and the density of the leaves. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: G Co Building a Tile Pattern by Reflecting Octagons
This task applies reflections to a regular octagon to construct a pattern of four octagons enclosing a quadrilateral. The focus of the task is on using the properties of reflections to deduce that the quadrilateral is actually a square....
Illustrative Mathematics
Illustrative Mathematics: G Co Parallelograms and Translations
In this task, students apply the definition of a parallelogram in the context of a geometric construction. Aligns with G-CO.C.11.
Illustrative Mathematics
Illustrative Mathematics: F Tf, G Co, Trigonometric Identities and Rigid Motions
The purpose of this task is to apply translations and reflections to the graphs of the functions f(x)=cos x and g(x)=sin x in order to derive some trigonometric identities. There are also rotations 180 degrees about points on the x-axis...
Illustrative Mathematics
Illustrative Mathematics: F Tf Trigonometric Ratios and the Pythagorean Theorem
The purpose of this task is to use the Pythagorean Theorem to establish a fundamental trigonometric identity for an acute angle. The reasoning behind this identity is then applied to calculate a cosine for a given obtuse angle. Aligns...
Illustrative Mathematics
Illustrative Mathematics: G Mg Paper Clip
A paper clip is just over 4 cm long. How many paper clips like this may be made from a straight piece of wire 10 meters long? This high level task is an example of applying geometric methods to solve design problems and satisfy physical...
Illustrative Mathematics
Illustrative Mathematics: g.co Reflections and Isosceles Triangles
This task has learners link their intuitive notions of symmetries of a triangle with statements proving that said triangle is unmoved by applying certain rigid transformations. The mechanism through which students do this is via...
Illustrative Mathematics
Illustrative Mathematics: 8.ee Coupon Versus Discount
For this task, 8th graders are asked to find at what price the cost of a calculator will be the same whether applying the store discount or using a coupon. Aligns with 8.EE.C.7.
Hofstra University
Hofstra University: Applied Calculus: Function Grapher
Students enter functions in standard mathematic notation and the tool creates a graph of the function. Multiple functions can be entered into the learning tool.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Review Exercises: Linear Programming
Students review linear programming. The resource consists of review exercises on the mathematics concepts.
Illustrative Mathematics
Illustrative Mathematics: G C, G Srt Setting Up Sprinklers
In this task, students must decide where to place sprinklers on a lawn so that the maximum area of the lawn will be watered. To solve it, they must find areas of sectors of circles and use trigonometric ratios to solve right triangles....
Illustrative Mathematics
Illustrative Mathematics: G Srt Shortest Line Segment From a Point P to a Line L
In this task, students develop an understanding that the shortest path from a point to a line always meets the line at a right angle. Aligns with G-SRT.C.8.
Illustrative Mathematics
Illustrative Mathematics: G Mg Satellite
This task models a satellite orbiting the Earth in communication with two control stations located miles apart on Earth's surface. Students determine distances between various locations and, given a rate of travel, they determine the...
Illustrative Mathematics
Illustrative Mathematics: G Mg a Ton of Snow
In this task, students are asked to find out how much snow has been shoveled using the concepts of area, depth, density, and rate. Aligns with HSG-MG.A.2.
Illustrative Mathematics
Illustrative Mathematics: G Mg Indiana Jones and the Golden Statue
The goal of this task is to provide an introduction to the sometimes subtle use of density and units related to density, in a simple and fun context with minimal geometric complexity. Includes video showing the opening scene of Raiders...
Illustrative Mathematics
Illustrative Mathematics: G Mg How Thick Is a Soda Can? Variation Ii
In this task, students are given an aluminum soda can and are simply asked how they could determine how thick the can is. Aligns with G-MG.A.1 and G-MG.A.2.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Inverse Functions
The resource investigates inverse functions. Topics examined are domain, range, one-to-one functions, graphing inverse functions, finding inverse functions algebraically, and logarithmic and exponential functions. Students learn about...
National High Magnetic Field Laboratory
Magnet Academy: Claude Shannon
Claude Shannon was a mathematician and electrical engineer whose work underlies modern information theory and helped instigate the digital revolution. He was the first person to recognize how Boolean algebra could be used to great...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Uniform Distribution
Students learn about probability density functions and uniform distributions. The tutorial investigates the statistics concepts through class notes and examples. Review exercises are included.
Georgia Department of Education
Ga Virtual Learning: Ap Physics 1: Applications of Newton's Laws of Motion
Students apply Newton's laws to more diverse physical settings where multiple forces from varying origins interact. To aid in condensing the physical setting into mathematical expressions, the free body diagram is used in this module...