So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the instructional activity develops the definition of a general cylinder. Scholars continue on to develop a...

Individuals learn to apply the Euclidean algorithm to find the greatest common factor of two numbers. Additionally, the lesson connects greatest common factor to the largest square that can be drawn in a rectangle.

What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...

The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix...

Scholars learn to order rational numbers in the seventh lesson in a series of 21. Reasoning about numbers on a number line allows for this ordering.

Your learners will get lots of practice calculating simple and compound interest by the end of this lesson. Simple explanations and examples lead learners through the concepts and steps of calculating simple and compound interest...

Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...

Take stroll around the classroom while teaching young mathematicians to count fluently with this whole-group math activity. The teacher starts things off by walking around the room while counting up from the number one and continues...

What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...

With so much talent in the classroom, do your musicians and athletes have related interests? This problem has your learners taking data from their classmates to decide whether there is an association between the two activities. The...

Have a fun time teaching children to read analog clocks with this whole-group math activity. Using large sets of the numerals 1-12 and 0, 5, 10...55, the teacher creates a large clock on either the carpet or the white board, explaining...

Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference...

Make math much simpler with mental math methods. The 16th installment in a series of 21 looks at ways scholars can apply mental math to convert division problems into easier problems with the same quotient. Multiplying or dividing both...

Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from...

Boiling down any division problem to a one-digit divisor problem sure makes estimation easy. The lesson shows how to estimate division problems by using place value understanding and basic arithmetic facts to simplify the division. Some...

Even or not, here I come. Groups investigate the parity of products and sums of whole numbers in the 17th lesson in a series of 21. Using dots to represent numbers, they develop a pattern for the products of two even numbers; two odd...

Individuals build on prior knowledge to order a set of rational numbers from least to greatest or greatest to least. As part of the lesson, they order rational numbers written in different forms.

Equivalent ratios show up on tape. Young mathematicians use tape diagrams to create equivalent ratios in the initial lesson on the topic. They learn the definition of equivalent ratios and use it to build others in the third segment of a...

What is the connection between equivalent ratios? Class members first find the multiplication factor used to create equivalent ratios. Next, they take that information to determine whether ratios are equivalent. The second lesson on...

Develop the right station to solve rate word problems. The 18th lesson in a series of 29 starts by interpreting the aspects of rates with two different quantities. Pupils use the interpretation of rates to solve problems, and groups work...

Show your class how to read a map and decipher all of the markings and features. Start out by connecting maps to their homework from the night before and their current reading, in this case That Book Woman, and a related informational...

Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...

What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and...

Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...