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...

Take a deeper dive into equally likely probabilities. Pupils build upon their understanding of probability by determining sample spaces and outcomes. Individuals work with sample spaces and determine outcomes that are equally likely....

The fifth portion of the 25-part series introduces probabilities calculated from outcomes that are not equally likely. Class members use tables to calculate probabilities of events, add outcome's probabilities, and find...

Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...

Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover...

Calculate theoretical probabilities and compare them to experimental probabilities. Pupils build on their knowledge of experimental probabilities to determine theoretical probabilities. Participants work several problems with the...

Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson presents linear equations that scholars must...

Young mathematicians spin their way to a deeper number sense with this fun, collaborative activity. Using two spinners, one with the numbers 0-9 and the other with the decades 00-90, pairs of learners take turns building and comparing...

True or false: 20 = 10 + 10. The statement is true because two 10s make a 20. These are the types of equations learners must label or false. They must also explain in mathematical terms how they know.

Teach your class to think outside the box. Scholars use the concept of equality to solve a problem in the assessment task. They determine how to use a scale to identify the one box out of a set of nine boxes that is heavier than the others.

Working as a pair, two kindergartners will sit at a table and will pick two handfuls of counters. They will combine their individual handfuls into one, and count their own selection. They will then draw and record their count on a record...

This problem is sure to get your young mathematicians thinking. The idea sounds simple: one equation, solve it as many ways as you can. This is meant to get at a deeper understanding of solving quadratic equations, including some more...

Exponential functions and their growth rates are explored concretely using tables in a collaborative task. Then the successive quotient is explored algebraically.

Use tree diagrams with multiple branches to calculate the probabilities of compound events. Pupils use tree diagrams to find the sample space for probability problems and use them to determine the probability of compound events in the...

Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...

Doesn't trying two substitutions prove it is equal? Individuals analyze a given polynomial division problem to determine whether the answer is correct. Classmates continue to determine what values to use that show the...

Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, students first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....

Your learners analyze population data to discern if it best fits a linear scenario. The idea of change by equal differences over equal intervals is enforced in this real-life task. 

Your archaeologists begin this task with a table of values to estimate the time passed based on the half-life of Carbon 14 remaining in a plant. They then move on to find when a specific amount of Carbon 14 is present in the same plant,...

Divide and conquer the geometry problem. Young scholars consider how to subdivide triangles into smaller ones that have equal areas. They must apply their knowledge of medians to help accomplish the task.

Does a calculator give you the exact value of the square root of 2? Here, learners must decide if 1.414236 is equal to the square root of 2. They must also explain why the square root of 2 could never be equal to a terminating decimal....

Use this activity to help your class develop an understanding of greater than, less than, and equal to with numbers valued between 1 and 10. Secretly place a number of marbles (between 1 and 10) in a brown paper bag. Then shake the bag...

Learners compare three sets of fractions using the greater than, less than, and equal signs. To justify their answers, a drawing is also required that illustrates their reasoning. Including fractions with like and unlike denominators, as...

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...