Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...

Young scholars convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor...

Students factor polynomials and use long division t solve problems. In this algebra lesson, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.

In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas.  Then, they discuss what makes a solution complex and how to identify functions with complex roots.

In this math and science worksheet, students read about the process of photosynthesis and plant growth. They determine how a plant's ability to create food is dependent on the surface area of its leaves using geometric calculations. They...

Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...

In this algebra worksheet, students factor equations using the difference of squares formula. They solve quadratics by factoring. There are 6 questions with an answer key.

Pupils investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Pupils graph their results and determine if the...

In this algebra instructional activity, students identify polynomials and state the degree and rewrite it in standard form. There are 32 questions ranging from polynomials to graphing a quadratic.

Students explore polynomial functions.  In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic.  Students determine the regression equation...

Students use an ancient math game to establish the context for solving problems by investigating them in a systematic and mathematical way. They also need to have the ability to solve various types of equations.

In this algebra worksheet, students identify the vertex of a quadratic functions. They identify complex numbers. There are 6 questions.

In this parabolic exercise, students find the vertex and axis of symmetry of parabolas, hyperbolas, and ellipses. They sketch the graph. This one-page worksheet contains ten problems.

In this distance formula instructional activity, students solve and complete 30 various types of problems. First, they find the exact distance between each pair of points and make a sketch of the situation. Then, students find the...

Students investigate the origin of the quadratic function. In this algebra lesson, students analyze solving an equation by completing the square. They compare the early methods as compared to our method for solving quadratics.

Learners practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph

High schoolers devise a strategy to solve problems that is done in a systematic and mathematical fashion. The finding of the unknown value is the focus of the lesson. To solve linear equations proficiently is the skill of the lesson.

Learners use a game to establish the context of solving problems in a systematic and mathematical fashion. They also solve various types of equations to find reasonable solutions.

Eleventh graders investigate logarithms.  In this Algebra II instructional activity, 11th graders explore the properties of logarithms that are used to simplify expression and solve equations.  Students confirm their...

Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.

Eighth graders find connections between numbers in a table; use Pythagoras' theorem in a general algebraic form; and measure accurately from a scale drawing to find a method that might enable the helicopter to land inside a rectangular...

Is there another way to view whether the data is linear or not? Class members work alone and in pairs to create scatter plots in order to determine whether there is a linear pattern or not. The exit ticket provides a quick way to...

Students generate patterns from a structured situation, find a rule for the general term, and express it in words and symbols. They also devise and use problem solving strategies in a systematic way.

Young scholars observe the action produced by toy cars. In this geometry lesson, students discuss motion and distance as they relate to the movement of a spherical object.They collect data and make conjectures based on their data.