Understanding the inverse relationship between addition and subtraction is essential for developing fluency in young mathematicians. Zoe and RJ explain how three numbers can form fact families that make two addition and two subtraction...

Provide a graphical view of inverses. Pupils manipulate points on a line and see the relationship of the graph with the graph of its inverse. Using the relationship between the graphs, scholars respond to questions concerning inverses...

Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...

Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...

Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...

Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...

Pressure and volume are in a relationship, but what is the nature of it? High school scientists discover the link between the volume of a gas and the pressure it exerts using a simulation. The resource tracks pressure in a sidebar as...

Conjugating in the math classroom — and we're not talking verbs! The seventh activity in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...

Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...

Sometimes the easiest way to understand division is to look at it as multiplication. Show your mathematicians that every problem can be written backward to make it easier for them. The video explains how the relationship between...

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...

The greater the latitude, the less of the Earth is north. Scholars graph the relationship between the latitude and the percentage of the Earth that is north of the latitude. Using the graph and the table, class members interpret values...

Just how old is it? The 22nd portion to a 23-part Precalculus unit uses radiocarbon dating and other exponential modeled real-world problems. Learners use the inverse relationship between logarithms and exponentials to solve the problem...

Don't lose your marbles! This simple story problem helps make teaching division with fractions much easier. Work on this problem along with the lesson plan titled, How Many Servings of Oatmeal? to highlight the difference...

In the multiplication and division worksheet, students write two related multiplication equations for 18 different division equations to learn about the inverse relationship between division and multiplication.

Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second lesson on complex number division, the class takes a closer look at the numerator and denominator of the multiplicative...

How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...

Don't lose your marbles as your learn about addition and subtraction equations. Pupils investigate the relationship between addition and subtraction by using an interactive. They drag different color marbles into a box and identify...

Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...

Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...

Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...

Middle school energy experts read about the relationship between energy use and cost-efficiency. Then they work through a couple of scenarios to determine which approach is more cost-effective.

Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...

Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...