Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...

Young mathematicians view a video on solving quadratic equations by factoring. They use this skill to complete a worksheet of practice problems — a great way to gauge understanding!

Most problems can be solved using more than one method. A instructional activity includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.

Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations. 

Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...

Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...

Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...

Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations. 

This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...

Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...

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...

Performance task questions are the most difficult to write. Use this assessment so you don't have to! These questions assess factoring quadratics, modeling with quadratics, and key features of quadratic graphs. All questions require...

Critical thinking is an important aspect of mathematics — it's time to put your brain to work! Use this assessment to challenge pupils and test their skills. Concepts assessed include function notation, factoring, completing the square,...

Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...

Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...

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...

Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.

Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.

Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.

Check for college math readiness using this problem sampler. Problems cover high school algebra topics, including linear and quadratic equations, factoring, radicals, rational expressions, synthetic division, complex numbers and more....

Solve advanced equations by strategically using quadratic factorization methods.

An interactive quiz which provides students with a problem involving a polynomial function to be solved. Students input their solution and have the program evaluate it. Hints are available if the student needs them, and explanations are...

This college site offers a variety of problems and answers. Problems are divided into topic areas for easy access. Also offers quizzes with each topic.