math through discovery

Wednesday, June 21, 2017

Pythagorean-Theorem-Scavenger-Hunt
This scavenger hunt is designed to have students focus on the 4 sets of Pythagorean Triplets to solve right triangles.  This scavenger hunt has two parts.  In part 1 the triangles are all basic 3-4-5, 5-12-13, 7-24-25 or 8-15-17 triangles.  In part 2 the triangles are multiples of 3-4-5, 5-12-13, 7-24-25 or 8-15-17 triangles.  Or you can combine the two parts.

Friday, June 16, 2017

Special-Right-Triangle-Drawings-GIF-Files
This file contains 18 drawings of special right triangles.  
This folder contains 18 drawings of
¨ 3-4-5 triangles
¨ 7-24-25 triangles
¨ 5-12-13 triangles
¨ 8-15-17 triangles
¨ 30o-60o-90o triangles
¨ 45o-45o-90o  triangles
¨ 40o-50o-90o triangles
¨ 10o-80o-90o triangles
as gif files.  These can be used in any file as an image.   



Operations-with-Integers-Subtraction

This product will help your students with the concept of subtraction by incorporating the idea of a zero pair.  From the colored disks students develop a visual understanding for subtraction.  Students don't just memorize a rule.  

Sunday, June 11, 2017

Someone recently purchased this item and used it in their classroom.  Here is what they wrote back:  Great Resource. Thanks!"

Check it out at Geometry-Understanding-a-Dilation

Monday, May 15, 2017


If you are running out of time to cover the topic of similarity of 3 dimensional shapes you might want to check out this activity.  I have used it for years.  Students build 5 different towers from centimeter grid paper and then collect data about the height, area of one face, and the volume.  Then comparing the data students look for patterns.  The visuals help the students understand the ratios they see in the charts.  

Saturday, May 6, 2017

You can now purchase all my slope field products in one package.  
This Bundle is made up of 7 products available in my store. These 7 products could make up your entire unit on Slope Fields:
Create a Class Slope Field
Creating a Slope Field
Using Technology to Carte a Slope Field
Which Slope Field Could it Be?
Match the Differential Equation with its Slope Field
7 Questions on Slope Fields and Differential Equations
Slope Field Matching Cards

Saturday, April 29, 2017

If you are looking for a hands-on activity that will help students remember all the information on a unit circle this could be the one you are looking for.  Students find the radian measure, angle measure, and coordinates for 16 points around a unit circle by using right triangles.

Building-a-Unit-Circle


Sunday, April 23, 2017

Here are four similar products available in my store.  Students understand slope better when they can visualize the points on the line.  These four products have identical questions but some of the questions have the points graphed, while others require the students to product the graph.  With two of the products students can confirm their solutions using the QR Codes.   Geometry-Slope-Task-Cards-without-Graphed-Points-and-with-QR-Codes
Geometry-Slope-Task-Cards-with-Graphed-Points-and-QR-Codes

Geometry-Slope-Task-Cards-With-Graphed-Points
Geometry-Slope-Task-Cards-without-Graphed-Points
Check them out.


Tuesday, April 18, 2017


A recent buyer said " My 11th graders were able to dive into this activity and some were inspired to create their own probability games based off this activity. Awesome!"  

You might want to check out this activity.  


Wednesday, April 12, 2017

 Algebra-1-Solving-Quadratic-Equations-Task-Cards-with-QR-Codes

Algebra-1-Solving-Quadratic-Equations-Task-Cards

Here is a great activity for after you have taught your students all the ways to solve a quadratic equation.  The set of 28 task cards (7 sets of four cards) focus on the various techniques for solving a quadratic equation:
1.   Solve Quadratic Equations using Square Roots
2.   Solve Quadratic Equations using Square Roots in Two     Steps
3.   Solve Quadratic Equations by factoring (a=1)
4.   Solve Quadratic Equations by Factoring (a≠1)
5.   Solve Quadratic Equations by Completing the Square
6.   Solve Quadratic Equations with the Quadratic Formula
7.   Solve the quadratic equation using any method.
 A full set of solutions are included.


Monday, April 10, 2017

Here are six sets of task cards that you can review major ideas you have covered in Algebra I.  They all refer to 7 of the standards in the Common Core State Standards in Algebra I.

Interpreting Functions

Algebra-1-Interpreting-Functions-Task-Cards-with-QR-Codes

Creating Equations

Algebra-1-Creating-Equations-Task-Cards-with-QR-Codes

Seeing Structure in Equations

Algebra-1-Creating-Equations-Task-Cards-with-QR-Codes


Reasoning with Equations and Inequalities

Algebra-1-Reasoning-with-Equations-and-Inequalities-Task-Cards-with-QR-Codes

Arithmetic with Polynomials and Rational Expressions

Algebra-1Arithmetic-of-Polynomials-Rational-Expressions-Task-Cards-w-QR-Codes


Linear, Quadratic and Exponential Models

Algebra-1-Linear-and-Exponential-Model-Task-Cards-with-QR-Codes

Building Functions

Algebra-1-Building-Functions-Task-Cards-with-QR-Codes

Wednesday, April 5, 2017

Here are two great products for reviewing polynomails in Algebra I and Algebra II.
Each game has 25 questions of which one is a Bonus question.  Each game ends with a Final Question.

Algebra-I-Smartboard-Q-and-A-Game-Polynomials-and-Factoring


Algebra-II-Smartboard-Q-and-A-Game-Quadratics-and-Polynomials




Friday, March 31, 2017

Unit-Circle-Graphs-of-Sine-and-Cosine-from-a-Unit-Circle


From the unit circle students create the sine and cosine graphs.  This activity has just recently been redesigned so students can follow the directions on their own and create the two graphs.  

Wednesday, March 29, 2017

Calculus-Bundle-Volume-using-Known-Cross-Sections

One of the hardest topics for calculus students to understand is the finding of the volume of a solid with a know cross section.  This bundle of activities is designed to help students visualize this idea.

There are three parts to this bundle.


  1.  In the first part, students are engaged building models for 8 different shapes that can be built on the same region.  Through answering some key questions students learn that the volume of all nine shapes can be found using similar techniques.  Students also look for relationships between their answers. 
  2. In the second part, students review what they learned in the exploration as it reviews how these volumes are calculated.
  3. In the third part, students practice finding volume of solids with known cross sections.  



Here is what a recent buyer said about the product:

I used this bundle over the course of a few classes - it was very successful! I even had students who said "I FINALLY get this!" Thank you!


Thursday, March 23, 2017


This set of cards covers some Algebra I topics that have come with the CCSS.  Students are asked questions where they have to consider kf(x), f(x+k), and f(x+a)+b.  They also cover odd and even functions.  The 24 cards are separated into 6 sets of 4 cards and can be easily separated by color.

Algebra-Building-Functions-Task-Cards-with-QR-Codes

Monday, March 20, 2017

This is what a recent buyer said:


Nice change of pace activity!


This is what a recent buyer said:

There was a "wow" moment in the classroom as the students connected trig graphs to the unit circle.

Another buyer said:

fantastic activity

Saturday, March 18, 2017

This set of task cards engages the students information on the first and second derivatives to create sketches of functions.
It is definitely something that all calculus and AP calculus students should be able to do.

Tuesday, March 14, 2017

From information about a function's derivative and second derivative students construct a picture of the graph of the function. 
This lesson focuses on using the information about a derivative and a second derivative and minimizes the algebraic manipulation of algebraic expressions.  
Students must understand the concepts behind a first and second derivative to able to answer questions about the original function.

Calculus students understand a concept best when it is presented in more than one way.  This lesson illustrates how a student can understand the definition of a derivative GRAPHICALLY, NUMERICALLY, ANALYTICALLY, AND VERBALLY.
The TI-84 is used in this lesson to view information graphically and numerically.  Then as the students describes what they see through tables and graphs, they learn to verbally explain the concept of a derivative.  Finally students then look at the derivative analytically after they have explored the concept graphically and numerically.   
Calculus-Connecting-the-Definition-of-a-Derivative-with-the-Rule-of-4-1442762

Sunday, March 12, 2017


Here is a great Geometry lesson for the spring.  It helps students visualize 3 dimensional shapes.  It is inexpensive and kits love making them for the classroom.  When you are done you can display them from the ceiling and then refer to them as part of the upcoming lessons.

 Geometry-Building-Polyhedron-from-Bendable-Straws


  • I have just made a bundle of three items you might want for your Calculus or AP Calculus Class.  
  • The first product is an exploration which students complete in groups of 8 students.  Through this exploration, students learn how easy it is to find the volume of any solid which have cross sections that are known polygons.  
  • The second product is an activity sheet where students learn how they can apply the knowledge of the exploration to finding the volume of 7 new solids.
  • The third product is a practice sheet with additional exercises. 

Friday, March 10, 2017

Help your students understand the concept of finding the volume of a solid with a known cross sectional area.


Have you been looking for the product that will really help your students in calculus and AP calculus.  This is the item.  It is a very inexpensive activity. 








  • Just run off the 8 shapes on index cardstock
  • The students cut the shapes out
  • Students glue the shapes on a copy of the region bounded by the x-axis, the graph of the square root of x, and the values x = 0 and x = 4.
  • Groups of 8 students work together at completing an activity sheet that will guide them through writing a Riemann sum for the volume, estimate the volume, write an integral for the volume, and find the volume.
  • The activity closes by having the students compare the volumes and look for relationships between the volumes.  
     Volume of a Solid with a Known Cross Section

Volume of a Solid with a Known Cross Section

Once you see how easy this makes finding volume you will want to buy your colleague a copy of this for their classes.