Handout
University of Manchester

Umist: Mathematical Formula Tables

For Students 9th - 10th
This site has links to tables of mathematical formulas. To view them, the student must download the formulas in pdf format.
Website
Wolfram Research

Wolfram Math World: World's Most Extensive Mathematics Resource

For Students 9th - 10th Standards
MathWorld provides a huge mathematics encyclopedia detailing the concepts of geometry, algebra, calculus, discrete math, number theory, and other math topics--complete with formulas, diagrams, examples, and references for thorough...
Activity
Interactive Mathematics

Interactive Mathematics: Quadratic Formula, Origin, Examples & Exercises

For Students 9th - 10th
Presents the quadratic formula, gives examples and exercises, and links to popup windows explaining the solutions. Contains a window allowing the user to enter values for a process illustration (requires LiveMath plugin, available from a...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Sum and Difference Angle Formulas

For Teachers 9th - 10th Standards
The goal of this task is to have students derive the addition and subtraction formulas for cosine and tangent, and the subtraction formula for cosine, from the sum formula for sine. Aligns with F-TF.C.9.
Unit Plan
Interactive Mathematics

Interactive Mathematics: Quadratic Equations

For Students 9th - 10th Standards
Using modeling, the world of quadratics is explored. Learn how to solve quadratics using methods of factoring, completing the square, and the quadratic formula. Also included are methods for graphing quadratic functions.
Website
Cut the Knot

Cut the Knot!: Mathematics as a Language

For Students 9th - 10th Standards
A sophisticated discussion on the language of mathematics, its origins, meanings, and precision.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Flowing Through Mathematics

For Students 9th - 10th
Students will use this computer applet to simulate water running out of a tube. By varying the tube diameter and noting time changes and the height of the water in the tube students will create a formula to fit the curves of height...
Unit Plan
Cuemath

Cuemath: Mathematical Induction

For Students 9th - 10th
A comprehensive guide for learning all about mathematical induction with definitions, how to prove this formula, solved examples, and practice questions.
Unit Plan
Goodwill

Gcf Global: Excel Formulas: Complex Formulas

For Students 9th - 10th
A simple formula is a mathematical expression with one operator, such as 7+9. A complex formula has more than one mathematical operator, such as 5+2*8. When there is more than one operation in a formula, the order of operations tells...
Unit Plan
Khan Academy

Khan Academy: Volume Formula Intuition

For Students 4th - 6th
Practice problems that help you see why the volume formula makes sense. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
Sophia Learning

Sophia: Finding a Formula for the Surface Area of a Cone

For Students 9th - 10th
This video tutorial demonstrates how to find the formula for the surface area of a cone.
Handout
Math Is Fun

Math Is Fun: Mathematical Models

For Students 9th - 10th Standards
Provides a good discussion of how and why models are used in Mathematics to represent problems in the real world. It explains different ways to model a problem, e.g., with a formula or an illustration, and what can be learned from them....
Lesson Plan
PBS

Pbs: Jazz and Math: Improvisation Permutations

For Teachers 9th - 10th
This lesson deals primarily with the number of rhythmic combinations that can be found in a four beat measure of music. Students will learn through trial and error and derive a mathematical formula to calculate the number of possible...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gmd Circumference of a Circle

For Teachers 9th - 10th Standards
For this task, students are asked to explain the formula for finding the circumference of a circle. Aligns with G-GMD.A.1.
Activity
Analyze Math

Analyze Math: Trigonometry: Sum and Difference Formulas Examples

For Students 9th - 10th Standards
The mathematics tutorial examines trigonometric formulas. The tutorial consists of examples with solutions. The tutorial demonstrates how to use sum and difference formulas to solve problems in trigonometry.
eBook
Mathigon

Mathigon: Graphs and Networks: Euler's Formula

For Students 9th - 10th
This lesson focuses on Euler's Equation. Any (finite) graph can be constructed by starting with one vertex and adding more vertices one by one. We have shown that, whichever way we add new vertices, Euler's equation is valid. Therefore...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gmd Area of a Circle

For Teachers 9th - 10th Standards
For this task, students investigate and develop an understanding of the formula for the area of a circle. Aligns with G-GMD.A.1.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei: Braking Distance

For Teachers 9th - 10th
The purpose of this task is to give an application arising from a real-world situation, determining braking distance, in which a quadratic equation arises. In this scenario, it is natural to use a graphical method to find an approximate...
Unknown Type
Illustrative Mathematics

Illustrative Mathematics: 5.md Cari's Aquarium

For Teachers 4th - 6th Standards
This task supports the standard 5.MD.5.b in that it asks students to use the volume formula and conceptual understanding to solve real-world problems.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.g Two Triangles' Area

For Teachers 8th Standards
In this task, 8th graders are given the dimensions of two isosceles triangles and are asked to compare their areas. They must draw them and use the Pythagorean Theorem and the triangle area formula to solve the problem. Aligns with 8.G.B.7.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Parabolas and the Distance Formula

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Definition of a parabola, exploring a parabola using the distance formula.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse.4: You Tube Explosion

For Teachers 9th - 10th
This task, commentary, and solutions, were authored by Lacey Dixon and Jonathan Utegaard of The University of Arizona. The purpose of this task is to have students derive the formula for the sum of a specific finite geometric series....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Radius of a Cylinder

For Teachers 9th - 10th Standards
Given the height and volume of a certain cylinder, Jill uses the volume formula to compute its radius. If a second cylinder has the same volume as the first, but is 100 times taller, what is its radius? Aligns with A-SSE.A.1.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.g Designs

For Teachers 7th
In this lesson plan, 7th graders use the formula for circles to determine the area and perimeter.