This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum...

Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...

Students solve quadratic equations. For this algebra lesson, students factor and graph linear and quadratic functions. They identify the standard and linear form of each equation.

In this prime factors worksheet, students make six factor trees. They tell the prime factorization for eight numbers. Students answer three questions regarding the prime factorization of numbers.

Ninth graders factor equations and find prime numbers. In this algebra lesson, 9th graders find the factors and prime factors of a number using multiples and relatively prime numbers.

For this primes and prime factors worksheet, 8th graders solve 21 different problems to include identifying each number as prime, composite, or neither prime nor composite and listing all the primes less than 200. Then they complete each...

Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.

In this mathematics worksheet, 4th graders fill in the chart with the factors divisible by each number. Then they study the charts and respond to the five word problems that follow. Students also find as many common factors of the given...

What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...

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...

Structure makes everything easier — even math. A helpful resource contains five short problems that require pupils to use the structure of the expressions in order to answer the questions. 

One block, two blocks, white blocks, gray blocks. In the high school assessment task, learners investigate patterns of sidewalk stones to develop a quadratic expression for each colored block. Young mathematicians then use the expression...

Change the way you teach about rewriting expressions. A diagnostic task asks learners to transform expressions in different ways. Given two linear expressions and two quadratic expressions, they rewrite them into the indicated forms.

Pupils rewrite expressions in equivalent forms to identify key features. They use the vertex and factored forms of quadratic expressions to identify the extrema and intercepts. To finish the installment of the Claim 1 Item Slide Show...

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...

Using TI-Nspire, scholars rewrite quadratic expressions by completing the square. They change the equation into vertex form.  By the end of this lesson, they should be able to change any quadratic equation into vertex form. 

Students determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths.  Finally, they factor the volume equation to determine the side lengths.

Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....

Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...

Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...

Students complete an experiment with Alka-Seltzer and reaction rates. They control the rate in which gases are allowed to escape. They test their predictions and observe what happens during the experiment.

In Beacon Valley, katabatic winds regularly knock fit adults to the ground. The lesson compares the actual temperatures to the wind chill after factoring in katabatic winds in Beacon Valley. Scholars learn to calculate wind chill and...

Using the provided worksheets, students solve equations involving factoring and finding square roots. At the conclusion of the instructional activity, they discuss the answers and any difficulty experienced in solving the equations.

Round and round and round she goes. Where she stops, nobody knows. This activity uses a common arcade game of chance, the spinning wheel, as a platform for computing expected values, interpreting results, and applying this knowledge to...