In this reciprocal worksheet, students identify the number that differs from its reciprocal by 1.  The significance of this number is that it is the golden ratio.  The solution to the problem is provided.

Students investigate the relationship between perpendicular and parallel lines on a coordinate plane. In this geometry lesson, students differentiate lines based on their slopes.

Sixth graders explore the concept of fractions. Working in pairs, they cover a space of a specified dimension using sticky notes. Once they have covered their space, pairs write a fraction to represent how many sticky notes have been...

In this mixed numbers:  finding the reciprocal worksheet, 6th graders write the reciprocal for twelve mixed numbers in each of four columns on the page.

In this linear equations worksheet, students write the equation of a line with given characteristics. They identify the slope of a line and the y-intercept. Explanations and examples are provided at the beginning of the worksheet. This...

Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole...

Reciprocals are the method used for dividing fractions in this instructional session. A fraction is defined as being a division problem, and then the whole group works together to solve several problems. They check for the reasonableness...

Study the difference between parallel and perpendicular lines with a set of study cards. After filling in notes (found on the second page), kids can quiz each other on the characteristics of each line, including a section that represents...

Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is...

Sixth and seventh graders solve and complete 8 different types of problems. First, they multiply and divide by signed numbers. Then, they rewrite any division as multiplication by the reciprocal. Pupils also work out the absolute value...

Flip the script! Reverse the situation and ask the class to find the function given asymptotes. The task requires class members to use their knowledge of functions and asymptotes to create functions that have a given asymptote or...

An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...

What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...

The fifth installment in the series of 28 lessons helps math scholars explore the result of adding opposite numbers and multiplying reciprocals. Through this exploration, they develop a working definition of identity and inverse properties.

For this 7th grade mathematics compilation worksheet, 7th graders solve and complete 40 various types of mathematics problems. They determine the measure of various angles and the side-lengths in integers of a square. Students also...

Algebra learners explore the concept of writing equations using rational expressions. This work sheet contains a number of word problems including reciprocal number problems, work problems, and problems can that be solved using...

Ours is to wonder why, not just to invert and multiply. The seventh installment of a 21-part module uses fraction models to help pupils understand why the invert-and-multiply strategy for dividing fractions works. They then work on some...

Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...

High schoolers explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, high schoolers investigate the Pythagorean trigonometric identities...

Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...

From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...

Students graph families of equivalent fractions and compare them by observing the slope of the line formed by each fraction family. They place fractions in ascending order by comparing the slopes of each line after several families of...

In this pre-calculus review worksheet, learners solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded interest...

For this rational equation worksheet, students solve 20 equations with a variable in the denominator of one more terms. They also read real-life application problems, write a rational equation to fit the problem and solve the equation....