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Khan Academy

Khan Academy: General Triangle Word Problems

For Students 9th - 10th Standards
Solve word problems that involve general triangles using trigonometry. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
E-learning for Kids

E Learning for Kids: Math: Market Place: Mass

For Students 4th - 6th Standards
On this interactive site students learn to use various units of mass to solve problems and put objects in order by their mass.
Unit Plan
PBS

Pbs: The Lowdown: Living Wages in Ca: Ratio and Rate in the Real World

For Students 6th - 8th
In this KQED infographic, find out how much an adult in different-sized households needs to make to pay for basic monthly living expenses. In the accompanying classroom activity, students solve real-life problems involving rate and ratio...
Unit Plan
Khan Academy

Khan Academy: Equations & Inequalities Word Problems

For Students 9th - 10th Standards
HSA-CED.A.1: Interactive resource which create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe.5 Triangles Inscribed in Circle

For Teachers 9th - 10th Standards
In this task, students use ideas about linear functions to determine when certain angles are right angles. They use the fact that two lines (if not vertical or horizontal) are perpendicular when their slopes are inverse reciprocals, as...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt, G Mg Coins in a Circular Pattern

For Teachers 9th - 10th Standards
In 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, but...
Activity
University of Toronto (Canada)

University of Toronto: Deductive and Inductive Reasoning

For Students 9th - 10th
Part of a University of Toronto website, this page defines and describes deductive and inductive reasoning in solving mathematical problems.
Unit Plan
Other

Asl: Heart of Algebra: Chapters 19 21 (Sat and Psat Prep)

For Students 9th - 10th
Chapter 19 Heart of Algebra focuses on the mastery of linear equations, systems of linear equations, and linear functions. The ability to analyze and create linear equations, inequalities, and functions is essential for success in...
Unit Plan
PBS

Pbs: Proportional Scaling

For Students 6th - 8th
Examine some of the complexities and complications inherent in the development of a micro engine. This video focuses on how MIT researchers have to consider proportions comparing volume and surface area when factoring heat loss, taking...
Unit Plan
TED Talks

Ted: Ted Ed: What's an Algorithm?

For Students 9th - 10th Standards
An algorithm is a method of solving problems both big and small. Though computers run algorithms constantly, humans can also solve problems with algorithms. David J. Malan explains how algorithms can be used in seemingly simple...
Unit Plan
Khan Academy

Khan Academy: Find a Missing Side Length When Given the Perimeter

For Students 3rd - 8th Standards
In this exercise, students will learn how to find the length of one side of a polygon when the perimeter is given. Students receive immediate feedback and have the opportunity to watch a tutorial video, get hints, and try questions...
Handout
Purple Math

Purplemath: Basic Trigonometric Ratios: Examples

For Students 9th - 10th Standards
Demonstrates how to use trig ratios to do simple solving of triangles.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C, G Srt Setting Up Sprinklers

For Teachers 9th - 10th Standards
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....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.6: Accurately Weighing Pennies I

For Teachers 9th - 10th
In this problem, learners will use the number of decimal places in the coefficients to motivate writing and solving a system of equations. Aligns with A-REI.C.6.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Egyptian Fractions Ii

For Teachers 9th - 10th Standards
In this task, young scholars will rewrite fractions as a sum of distinct unit fractions. To solve the problem, students will rewrite a simple rational expression and will need to study the arithmetic of these unit fractions with a...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gmd Volume Estimation

For Teachers 9th - 10th Standards
In this task, students are asked to estimate the volume of a non-standard 3D solid by referencing either a cone or a cylinder. Aligns with G-GMD and G-GMD.A.3.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Satellite

For Teachers 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe, G Srt Finding Triangle Coordinates

For Teachers 9th - 10th Standards
Given a picture of a triangle on a coordinate grid, students are asked to find the coordinates of points which divide line segments in a given ratio. Aligns with G-GPE.B.6 and G-SRT.B.5.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Shortest Line Segment From a Point P to a Line L

For Teachers 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ns Distances Between Points

For Teachers 6th Standards
The purpose of this task is for students to find the distance between points that lie in all four quadrants of the coordinate plane. Aligns with 6.NS.C.8.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C, G Srt Neglecting the Curvature of the Earth

For Teachers 9th - 10th Standards
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...
Activity
Analyze Math

Analyze Math: Solve Tangent Lines Problems in Calculus

For Students 9th - 10th
The resource consists of examples that explore tangent lines. Practice exercises with solutions are included.
Unit Plan
PBS

Pbs: Modeling Fraction Division, Equal Groups, Group Size Unknown

For Students 6th - 8th
This animated video illustrates a word problem that requires dividing two fractions with equal groups, group size unknown. Students are presented with a problem that asks how long it takes a sloth to climb down a tree trunk at an even...
Unit Plan
PBS

Pbs: Recognize and Represent Proportional Relationships Between Quantities: Ratio, Proportion, Cross Multiply, Divide

For Students 6th - 8th Standards
In this Cyberchase media gallery, learn about ratio and proportion and how to use an algebraic shortcut to solve proportion problems. In the accompanying classroom activity, students play a game called the "Pom-Pom Nose Push," in which...