Unit Plan
Houghton Mifflin Harcourt

Integers, Opposites, Absolute Value

For Teachers 5th - 7th Standards
Straight from the pages of a math textbook, this three-lesson series introduces young mathematicians to the world of integers. Starting with a definition of integers and their applications in the real world, this resource goes on to...
Lesson Plan
Illustrative Mathematics

How Many Leaves on a Tree?

For Teachers 9th - 12th Standards
This is great go-to activity for those spring or fall days when the weather beckons your geometry class outside. Learners start with a small tree, devising strategies to accurately estimate the leaf count. They must then tackle the...
Lesson Plan
Illustrative Mathematics

How Many Leaves on a Tree? (Version 2)

For Teachers 9th - 12th Standards
A second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...
Lesson Plan
Project Maths

Introduction to Trigonometry

For Teachers 9th - 12th Standards
The topic of trigonometric ratios is often covered with loads of rote memorization baked into the activity. This activity set, however, leans more on using similar triangles and discovery learning to help young geometers develop a deeper...
Activity
Noyce Foundation

What's Your Angle?

For Students K - 12th Standards
Math can be a work of art! Reach your artistic pupils as they explore angle measures. A creative set of five problems of varying levels has young learners study interior and exterior angle measures of polygons. The introductory levels...
Lesson Plan
Project Maths

Introduction to Quadratics

For Teachers 8th - 10th Standards
Develop conceptual knowledge of a quadratic equation and its solutions in your classes. The third algebra lesson in a series of four introduces learners to solving quadratic equations slowly. The first activity explores the zero product...
AP Test Prep
College Board

1998 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a peek into the exam. Released items from the Calculus AB exam provide pupils insight into how questions appear on the exam. The six questions range from finding the area under a curve and the volume of the revolution to working...
AP Test Prep
College Board

2005 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop an awareness of the exam. Pupils and teachers use the six release free-response questions to see how the exam covers topics. The questions are divided among calculator and non-calculator items. Scholars see the importance of...
AP Test Prep
College Board

2002 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Where do the questions come from? Individuals examine released items and see the topics included. Teachers use the materials to see the distribution between strictly BC content and that which is shared with AB. The 2002 Calculus BC is...
AP Test Prep
College Board

2004 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Given a set of questions, pupils realize the way the Calculus BC free-response exam asks questions. The items include both contextual and non-contextual questions. Both types are split into the calculator and non-calculator sections for...
AP Test Prep
College Board

2003 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
There are shaded areas, particles, polar equations, oh my! Teachers use the materials to see how their pupils compare to the AP® Calculus BC exam expectations. Scholars use the released items to practice on several BC topics and become...
AP Test Prep
College Board

2011 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Half are real-world. The 2011 AP® Calculus AB free-response questions let pupils and teachers see how content appears on the exam. Half of the questions contain real-world context, and four items do not allow calculators. Real-world...
AP Test Prep
College Board

2009 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
Unit Plan
Radford University

Earthquake Problem

For Teachers 9th - 12th Standards
Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...
AP Test Prep
College Board

2006 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Move along with the review. Teachers and scholars use the six released free-response questions to review for their upcoming AP® exam. Questions from the 2006 exam contain problems dealing with cars, objects moving along a curve, and...
Interactive
Shodor Education Foundation

Simple Maze Game

For Students 5th - 6th Standards
Avoid the mines and win the game! Young scholars direct a robot through a minefield by plotting points. Their goal is to reach the target in as few moves as possible.
Lesson Plan
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Illustrative Mathematics

What Shape Am I?

For Teachers 3rd - 5th Standards
Sharpen your pencil and grab a ruler, it's time to draw some quadrilaterals! Given the definition of a parallelogram, rectangle, and rhombus, learners draw examples and nonexamples of each figure. The three definitions are...
Unit Plan
Mathematics Vision Project

Structures of Expressions

For Teachers 10th - 12th Standards
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Activity
PBL Pathways

College Costs

For Students 10th - Higher Ed Standards
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...
Unit Plan
Mathematics Vision Project

Module 3: Features of Functions

For Students 8th - 10th Standards
Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...
Unit Plan
Mathematics Vision Project

Module 1: Sequences

For Students 8th - 10th Standards
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
Lesson Plan
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Baylor College

Need or Want?

For Teachers K - 3rd Standards
Even as adults it can be hard to distinguish needs from wants. Using pictures of common, everyday items, children make a pocket chart separating the objects they need from those that they want. Discuss their choices, explaining that...
Lesson Plan
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Texas Woman’s University

Patterns, Patterns Everywhere!

For Teachers Pre-K - 2nd
Not only is pattern recognition an essential skill for young children to develop, it's also a lot of fun to teach! Over the course of this instructional activity, class members participate in shared readings, perform small...
Lesson Plan
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Illustrative Mathematics

Right Triangles Inscribed in Circles I

For Teachers 9th - 10th Standards
One of the basic properties of inscribed angles gets a triangle proof treatment in a short but detailed exercise. Leading directions take the learner through identifying characteristics of a circle and how they relate to angles and...