Julane Crabtree

Here are 50 questions regarding the History of Math. Sample answers are included. This is a great project for both groups and individuals. You can also give out the questions a few at a time during the semester for extra credit or for projects. I used this with all levels of high school math but it is also appropriate for middle school. I hope that all the websites shown on the answers are correct as I haven't checked them lately. Many of the questions have multiple answers and you can accep

This is one in my series of lessons using the graphing calculator for Algebra Classes. This one is for any Algebra level. Students use the graphing calculator to graph and explore direct and inverse variations and their relationship to each other. Joint variation is included. This is a great way to show the students a visual representation of these concepts and to get them ready for inverse functions. Students can do the work in groups or individually. It can be used as a discovery lesson or a

This is a set of 30 worksheets that cover a 5-day plan for an intensive review of topics for Algebra II. No trig is included. The worksheets can also be used during a regular Algebra II class as review before exams, or in higher level courses as reviews for each topic. The objectives are shown as one of the preview pages. Answer keys are included.

Here are 29 posters about famous mathematicians. They were prepared for a display for math history month. Each one has the bio of a famous mathematician that was born on that day in February.

Here is a worksheet that lists the 8 steps needed to complete and optimization problem: constraints, domain, objective function, solving/substituting, taking the derivative, doing the test for max/min, and finally writing an answer statement for the problem. Included is a step-by-step problem that utilizes the 8 steps. I encouraged my students to do every one of their problems on this worksheet so that they would have the steps clearly in their mind. When giving an exam, I did not provide th

This lab activity (done in groups of 3-4) develops Pascal's triangle using two different color chips. I usually use checkers but any sort of chips (even poker chips) will do. Students determine color arrangements with 1, 2, 3, etc disks. These pages are set up for "red" and "not red" but can easily be adapted to the chips you have. Students will determine the pattern and then complete Pascal's triangle. This is a good discovery lesson, especially for the end of the semester if teaching this

This is one in my series of using the graphing calculator for Algebra Classes. This one is for Algebra II or Intermediate Algebra. Students use the graphing calculator to graph functions, copy the graphs, and use the trace tool to help them find the roots of the equation. They then write the factors for the function. This is a great alternative to factoring and shows students the relationships they need when them move on to calculus. Students can do the work in groups or individually. It c

This webquest is a search for the "Father of Calculus." Students will explore the contributions of Liebniz and Newton and write an editorial supporting their decision as to who is the true father of calculus. Students can work in groups but all submit their own editorial and supporting documentation.

Here is a worksheet that lists the 8 steps needed to complete and optimization problem: determining what is needed, writing the correct notation in general, writing the chain rule, solving the problem, and finally writing an answer statement for the problem. Included are step-by-step problems that utilizes the 8 steps. These include a geometric problem, a business problem, and a Pythagorean problem. I encouraged my students to do every one of their problems on this worksheet so that they wou

This is one in my series of using the graphing calculator for Algebra Classes. This one is for any Algebra levee. Students use the graphing calculator to graph the two sides of the equation, copy the graphs, and use the trace tool to help them find the solution to the equation. This is a great way to show the students a visual representation of a solution and to get them ready for systems of equations. Students can do the work in groups or individually. It can be used as a discovery lesson or a

Krypto is a math card game that can be adapted for grades 1-12. Included here are the instructions for each level and directions for creating a deck of Krypto cards. If you are on a budget, this is a great tool for reinforcing understanding of basic facts, relationships, and properties of numbers.

A practice worksheet with 20 problems encompassing all derivate rules (including logs & exponentials). Answer key is provided. This is a good practice sheet for students to use as a practice test or group activity in class before moving on to topics involving max/min and graphing. It could also be used as a quiz on these topics.

Using writing, learning styles, multiple intelligences and portfolios, this comprehensive unit allows both teacher and student to utilize options to attain the best understanding. Teachers should download my free document "Using MI-Learning-Styles-Writing-Units" to see how to adapt these units for their classes. Sample homework, schedules, etc are included in the unit along with vocabulary, formulas, projects, outcomes & guiding questions. Since the free document covers all my courses, some i

This assignment is an example of writing in calculus. Students work in groups to solve the problem presented by the client and then write a collaborative report explaining the solution. This assignment can be done individually but, when used in a group setting, students learn not only how to express their ideas but the concept of working in a team. I generally allow the students to divide the work among themselves without input. General time-frame is two weeks for completion of the assignme

This listing of formulas and procedures/hints for Advanced Algebra, College Algebra/PreCalculus, or Algebra II puts all the information in one easy place! Contains circles, transformations, quadratic formula, finding asymptotes, compound interest, possible rational zeros, log properties and laws, binomial coefficient and the binomial theorem.

This worksheet uses the graphing calculator and is a discovery lesson detailing the properties of the graphs of exponential and logarithmic functions. It is divided into two sections so that it can be done during two class periods. The last page asks the student to make comparisons between the graphs and the properties of the two functions, leading to the inverse property between the two. This activity lends itself easily to collaborative learning and that is encouraged. Students are also enc

I use this worksheet as an introduction to the first derivative test. Students use the graphing calculator to generate the graphs of both a function and it's first derivative. They do not need to calculate the derivative at this point so the calculator comes in handy for the graphing. Students observe and record the behavior of the graph of the derivative, thus discovering for themselves how the behavior relates to the original function. They can work alone or in pairs - my preference is f

This worksheet can stand alone or be used in conjunction with my Chain Rule Notes Powerpoint. Students take notes and work problems on these pages when being introduced to the chain rule. There is not a key provided as the problems are worked out in detail in the powerpoint presentation.

This worksheet includes information on the meaning of the limit of the difference quotient (slope of tangent line and instantaneous velocity). A total of 10 problems includes finding the general form of the limit of the difference quotient, the slope of the tangent line, and the instantaneous rate of change. A good final study and problem practice or assessment for the limit definition of the derivative. I use this prior to going to the derivative rules (or shortcuts).

This is a review worksheet. Students work in groups using their graphing calculator to find equations for applications using parabolas, logs & exponential functions. They will also find correlation coefficients using the graphing calculator. Students are instructed to go to a website to print out the graphs but this can be modified based on the tech equipment available in the classroom. This can be used at the College Algebra, Pre-Calc or Calculus level.