Science Buddies
Science Buddies: Science Careers: Mathematician
Mathematicians work in many areas. Some are applied mathematicians, some theoretical, but all use mathematics as a way to figure things out by using deduction. This Science Buddies site lays out the requirements needed to become a...
Illustrative Mathematics
Illustrative Mathematics: G Mg How Many Cells Are in the Human Body?
About how many cells are in the human body? The purpose of this task is for students to apply the concepts of mass, volume, and density in a real-world context. Aligns with G-MG.A.2.
Other
Math I Ly: Discrete Mathematics in the Real World
This resource provides short descriptions, with links to longer explanations, of examples of discrete mathematics as applied to our everyday lives and as used in important and interesting research and corporate applications.
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, young scholars apply the definition of a parallelogram in the context of a geometric construction. Aligns with G-CO.C.11.
Illustrative Mathematics
Illustrative Mathematics: G Gpe Equal Area Triangles on the Same Base Ii
This task has students apply their knowledge of parallel lines to solve a geometric problem on areas of triangles. The task is open-ended in that students can choose their method of completing the task. Aligns with G-GPE.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Gpe Scaling a Triangle in the Coordinate Plane
The goal of this task is to apply dilations to a triangle in the coordinate plane. Young scholars will need to find the coordinates of a point which cuts a given segment into one third and into two thirds. The two dilated triangles share...
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 Ice Cream Cone
You have been hired by the owner of a local ice cream parlor to assist in his company's new venture. The company will soon sell its ice cream cones in the freezer section of local grocery stores. The manufacturing process requires that...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Creating a Family Trust
Students apply statistics concepts to a real world example. Topics include normal and beta distributions.
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.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Matrix Addition and Scalar Multiplication
Students learn about matrix addition and subtraction, and scalar multiplication. The tutorial consists of class notes, examples, and practice problems. Review exercises and a chapter quiz are included.
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg Coins in a Circular Pattern
For this task, students investigate how many coins will fit around a central coin when they are all of the same denomination, and if there is room left over. The teacher is given a chart of four coin denominations and their diameters,...
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg Seven Circles Iii
In this task, young scholars are shown circle formations where an inner circle is surrounded by a set of circles and all circles are touching. In the first situation, all circles have the same diameter. In the second, the inner circle is...
Illustrative Mathematics
Illustrative Mathematics: 8.g Pythagorean Theorem in Mathematical Context
Eighth graders are shown a drawing of a rectangle with a central triangle bordered by three right triangles. They are asked to prove whether or not the middle triangle is also a right triangle. Aligns with 8.G.B.
Illustrative Mathematics
Illustrative Mathematics: G C, G Srt Neglecting the Curvature of the Earth
Jerry and Ashley are trying to find out if it is possible to see the lowest point in the USA from the highest point in the USA. It turns out that the highest point in the United States, the peak of Mount Whitney, is only 85 miles from...
Illustrative Mathematics
Illustrative Mathematics: G Mg Archimedes and the King's Crown
The King of Syracuse reportedly requested Archimedes' advice for determining if a crown was made with the appropriate mixture of gold and silver. The problem asks learners to find the amount of water displaced in Archimedes' experiment...
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 How Many Leaves on a Tree? (Version 2)
In this task, students must estimate the number of leaves on a large tree, taking into account various complex factors such as the area shaded by the tree, the area of irregularly shaped leaves, the uneven distribution of leaves, the...
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...
Alabama Learning Exchange
Alex: Land Surveying Project
This project resulted from of the collaboration of a computer aided drafting teacher, Chris Bond, and a math teacher, Lee Cable, (Hewitt-Trussville High School) to provide higher math expectations in CT and real life application in...
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.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Review Exercises: Applications of the Derivative
Students review applications of derivatives. The resource consists of review exercises on the calculus concepts.
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...