Understanding the concept of equality is fundamental to the success of young mathematicians. To explore this basic idea, children compare the dots arranged in pairs of rectangles in order to determine whether or not they contain an equal...

Clarify basic math concepts with a series of vocabulary posters designed for first graders. The cards include illustrations for fractions, place value, tally marks, and number lines, as well as many more vocabulary words.

Your class may believe that geometry is a trial, but they don't know how right they are. A thorough math lesson combines the laws of logic with the laws of geometry. As high schoolers review the work of historical mathematicians and...

Reinforce math skills with an eight-page exercise comprised of 15 problems covering the concept of ratios. 

Word problems offer class members an opportunity to learn the concept of solving linear systems using graphs. Individuals choose a problem based upon preferences, break into groups to discuss solution methods and whether there...

Make fast food restaurants even faster. Groups consider trade-offs when maximizing efficiency in fast food restaurants. Restructuring schedules and floor plans, as well reassigning job duties, all fall under this directive.  

How many ways can you stock a shelf? It's probably more than you think! Young scholars use data in a frequency table to determine how many ways to stock a shelf given a specific constraint for types of groups. They then repeat the task...

Geometry in life-sized dimensions! Using enlarged graph paper, pupils perform a series of transformations. By recording the initial and final placement of the images, they are able to analyze the patterns in the coordinates during a...

Save yourself a few minutes of planning with this elementary math lesson on elapsed time. Through a series of collaborative and independent learning activities, children explore different real-world situations as they learn how to...

How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in...

Try to figure out what happens with shadows as a person moves between two light sources. A formative assessment lesson has individuals work on an assessment task based on similar triangles, then groups them based on their...

Young scientists race from Earth to Mars and back, trying to complete mission objectives while avoiding radiation in this game for 2-4 players. To identify the winner, players must graph their mission points and radiation points at the...

Collaborative groups examine the importance of energy resources on quality of life by researching different energy sources and alternative energy sources through data analysis. They make a comparison of different countries and cultures,...

Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...

Within collaborative groups, scholars factor a degree six polynomial. They can factor the polynomial using many different strategies — a great way to prompt mathematical discussion.

Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.

Public transportation is an important aspect of any growing city. Collaborative groups work to redesign a system for a city in need of restructuring. Young scholars design a route, create a timetable, and incorporate a quality control...

Different medications leave the body at different rates, and how people take them determines their effectiveness. Learners investigate this effectiveness by charting the concentration of a given medication in the body. Using exponential...

Learners create patterns in a table to mimic the function of an electronic spreadsheet. The result is a table that creates an addition table for decimals in intervals of one-tenth. While creating the pattern, pupils must thoroughly...

Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result. 

The second day of a two-part activity on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...

How do vectors help make problem solving more efficient? Math scholars use vectors to represent different phenomenon and calculate resultant vectors to answer questions. Problems vary from modeling airplane motion to the path 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...

Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...