Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.

It's rational to root for your class to learn about exponents. Scholars study rational exponents by reading a fictional dialogue between classmates. They analyze the conversation to understand the connection between rational exponents...

In this science worksheet, students create a race track and mark each distance as stated. Then they perform each task and record the time it takes them for each. Students also record their data from the experiment into the chart...

In this Algebra I worksheet, 9th graders identify the property illustrated in the given statement.  The one page interactive worksheet contains a combination of ten multiple choice and free response questions and is self checking.

Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...

This study guide is a great resource to help you present the steps to graphing linear inequalities. Show your class two different ways to graph an inequality and work on a real-world example together. The document could also be easily...

Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....

When did math become so relevant? Scholars choose from four operations to solve five word problems dealing with money and measurements. They show their work in a designated space, and must include units in their answers. Learners work...

In this online interactive philosophy worksheet, students respond to 10 short answer and essay questions about Three Dialogues between Hylas and Philonous by George Berkeley. Students may check some of their answers...

In this determinant worksheet, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page worksheet contains approximately nine problems, as well as examples and...

In this scientific notation instructional activity, students read about the discovery of new planets. They use scientific notation to identify the number of miles from one planet to the next. Students determine how long it would take to...

Learners solve eight short answer algebra word problems. They write and solve systems of equations in two or three variables given a word problem about integers, perimeter, consecutive numbers, etc.

Word problems are a wonderful way to connect math and the real world. However, I've never seen a 12 centimeter-long apple tree. Aside from some odd word choices, this instructional activity provides children with ten problems to solve by...

Solve simultaneous linear equations, otherwise known as systems of linear equations. Pupils practice solving systems of linear equations by graphing, substitution, and elimination. The workbook provides a class activity and homework...

A collection of two lessons, kindergartners will identify two-dimensional shapes in solid shapes. They will develop basic knowledge of the components that make up a sphere, rectangular prism, pyramid, cylinder, cone, and cube. Young...

Is there a way to determine a winner of a political debate? Use a helpful rubric to evaluate the issues, specificity, evidence, reasoning, and delivery of candidates in a debate. After assessing each person's performance, high schoolers...

In this equations and inequalities worksheet, students complete 3 multiple choice questions testing their knowledge of various properties of the real number system.

In this systems of equations worksheet, students solve systems of equations simultaneously. They read story problems, write systems of equations. This two-page worksheet contains eight problems.

Math whizzes solve and complete 20 different problems. Problems are solved using the substitute, or the equal values method. Learners also create their own systems of equations based on word problems. 

Pupils complete travel time and distance word problems containing one and two digit numbers. They complete five problems.

In this linear programming worksheet, high schoolers define variables and write a system of inequalities for the given situation. They model the solution through graphing. This two-page worksheet contains six multi-step word problems.

Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...

Forget your local meteorologist — build your own barometer and keep track of the weather with an activity that provides directions to build a barometer out of a narrow necked bottle, a glass, and some water. Using their barometer,...

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.