Fifth graders explore common factors. In this factorization instructional activity, 5th graders discover the greatest common factor among two numbers in a game format. Students build on previous knowledge to determine the greatest common...

Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...

Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.

Fifth graders investigate factors by utilizing mathematical terms.   In this number sense lesson, 5th graders discuss and define terms such as factors, multiples, and denominators.  Students create a Venn Diagram when...

Young scholars find the greatest common factor of two numbers. In this algebra lesson, students use prime factorization to find their factor to simplify equations. they create a factor tree to find the factors of composite numbers.

The product of the hard work is learning. Scholars use a simulation tool to collect information to analyze. They must decide when two ships traveling back and forth across a river at different rates will meet on the same side. The intent...

Where is a geneticist's favorite place to swim? A gene pool. Young geneticists complete hands-on activities, experiments, and real-world problem solving throughout the unit. With extra focus on dominant and recessive genes, Punnett...

Students solve problems using the GCD and LCM. In this algebra lesson, students factor and simplify equations using the greatest common and least common factors and multiples. They factor integers in pairs.

How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...

Students examine abiotic and biotic factors. They define biotic and abiotic, categorize a list of items onto a Venn diagram, label various items from areas on the school grounds as biotic or abiotic, and diagram a magazine picture.

Can you follow a composition of transformations, or better yet construct them? Young mathematicians analyze the composition of dilations, examining both the scale factor and centers of dilations. They discover relationships for both...

Banks are responsible for keeping our financial information safe. Mathematics is what allows them to do just that! Pupils learn the math behind the cryptography that banks rely on. Using polynomial identities, learners reproduce the...

If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...

A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...

When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...

Students see a demonstration of the concept of factors through modeling. They do an activity that help them explain further the concept of common factors and greatest common factor.

Be ready mathematicians of every level. This lesson leads to the discovery of the zero product property and provides challenges for early finishers along the way. At conclusion, pupils understand the process of using the zero product...

It seems the post office has run out of stamps! Learners build all the values of postage available if the post office only sells five- and seven-cent stamps. The task provides an opportunity to create an expression in two variables and...

Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions. 

With many factors leading to a great athlete, does height make Usain Bolt unfairly fast? Middle schoolers conduct analysis to change the running distance of the Olympic races to be proportional to the height of the participants. They...

Finally! Math and Instagram have come together to discuss the correlation between likes and followers. High schoolers can't help but want to discover what makes one account more popular than another by developing a line of best fit and...

Explore the process of simplifying square roots through an analysis of perfect squares. The fourth lesson of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The perfect square factor...

Students define properties of fractions and solve for them. In this algebra activity, students rewrite fractions from mixed numbers to improper fractions. They reduce fractions using the GCF and convert the denominators correctly when...

What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.