Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...

Beginning with a word problem that poses the question of making groups of 10 pennies to translate into a single dime, pupils are challenged to make sense of the amount of dollars 33 cents is in expanded form.

Pupils use an interactive to help visualize the right triangles needed to calculate distances between friends' houses. Individuals solve five problems on how to determine distances and comparing the distances.

Slide the coefficients to determine sums of polynomials. The interactive contains sliders to change the coefficients of an addend in a polynomial addition problem. Pupils determine the coefficients of the addend to arrive at particular...

Place the pies in a line. Pupils create a graph of a system of linear inequalities to represent the number of pies a bakery can make. Learners analyze the vertices on the graph to determine the number of pies they can bake without...

It's not often that math allows for multiple answers. Young mathematicians identify possible numbers of triangles when given two sides and a non-included angle. An interactive helps with this investigation.

Find the location of enemy submarines with a sonar display that doubles as a polar coordinate system. Pupils find polar coordinates that would be the same location of plotted submarines. They then determine multiple polar...

How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...

Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...

Roses are red, but did you know that some are lighter while others are darker? Scholars read an infographic to decipher the fraction and percent of rose color and their country of origin. They go on to make comparisons and estimate while...

An interactive provides five questions that challenge scholars to decide whether integers are even or odd parity. A table assists problem solving with movable numbers that plug into equations and reveal the given parity. Question types...

An interactive challenges mathematicians to add mixed fractions with unlike denominators. Five questions—fill-in-the-blank and multiple-choice—build from one to the next leading the way to an open discussion about denominators and...

Does having an addict in your family make it more likely to become one yourself? Explore the genetic risk factors, as well as the prominent environmental influences, for substance addiction in a lesson that encourages awareness and open...

Encourage scholars to express themselves with help from an engaging song. Sung to the tune of "London Bridge is Falling Down," participants sing phrases that offer tips for dealing with emotions—sad, happy, worried, proud, mad, and...

Work on your map skills with a packet of activities about the river basins in the Democratic Republic on Congo. Learners study the maps provided before answering the geography questions and writing an acrostic poem about the region.

Encourage at-home assistance with a reference sheet designed to provide parents and guardians with the information they need to help their child divide fractions. Three pages offer detailed descriptions and labeled examples.    

There are architectural parabolas all around us! A creative lesson analyzes the architecture of a parabolic bridge. Learners must manipulate the bridge to satisfy given criteria and then answer questions about the dimensions of the...

Lean a ladder against the wall to create an angle. Class members use an interactive application to determine the angle a ladder makes with the ground. Individuals respond to five questions using inverse trigonometric functions.

Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...

Using a calendar, basketballs, and tennis balls, young mathematicians determine the common multiples of four and six. Individuals drag and drop the balls onto the correct dates each sport will be played, allowing them to see which days...

By creating a list of factors for two numbers, it is easier to see the greatest common factor. Each question in an interactive resource asks pupils to identify the greatest common factor for the numbers 24 and 36 in several...

Young mathematicians use a bell and hammer to see how high or low the puck goes. Then, they order the fractional values to demonstrate the greatest to lowest hit. Students then respond to several questions that require them to use...

Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...

It's 3:30, what radian is it? Pupils create clock angles on a clock and determine the radian measure to the minute hand. They then use a conversion factor to convert from one measurement to another.