What do you get when you cross piecewise functions with transformations?  An engaging instructional activity! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to...

Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.

The key is ... After a day of instruction on key features of graphs, groups create a poster and presentation on the key features of their given function graph. The resource provides an extension activity of "telephone" using...

Recycle, reuse, and rearrange! Young scholars learn to rearrange formulas to highlight a variable of interest. They then use their new formulas to make calculations.

Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.

If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...

Middle and high schoolers research the life of Pythagoras and the Pythagorean theorem. They write a short biography of Pythagoras and learn to apply the theorem in their study of right triangles.

Connect the tortoise and the hare fable to mathematics. Learners first identify key terms related to distance, rate, and time. They then solve distance/rate/time problems using different representations.

What does similarity have to do with the Pythagorean Theorem? The activity steps through the proof of the Pythagorean Theorem by using similar triangles. Next, the teacher leads a discussion of the proof and follows it by an animated...

Guide multiplication lesson plan instruction with a formative assessment. Mathematicians are given two multiplication problems to solve and represent using the area model, equal groups, repeated addition, and word problems. Following the...

How can shapes help solve literal equations? Scholars first learn to replace variables with shapes to aid in solving literal equations. A worksheet of practice problems helps hone the skill.

Scholars determine how long it takes to build a birdhouse with the second activity on using equations with proportional relationships. The resource uses examples such as birdhouse building and produce prices to encourage pupils to write...

The 15th segment in a series of 22 uses examples that present proportional relationships with fractions. Pupils work through the problems and discover that the process is the same as it is with whole number values. Graphing the...

Use ratios to solve problems that are not proportions. The instructional activity has pupils solve multi-step ratio problems that involve fractional increases and decreases. The problems involve mark-ups, discounts, commissions, and...

In this Applied Skills Assessment worksheet, 5th graders complete a sample state assessment for Language Arts and Mathematics for 5th graders. They read a writing prompt and complete a writing activity that follows, answer various types...

Students graph lines using the slope and y-intercept. In this algebra lesson, students create data using tables and equations. They use their data to make predictions and draw conclusion.

Learners investigate the order of operation in algebraic equations. In this order of operations lesson, students discover the proper order for solving single variable equations.

Young scholars participate in a teacher led math "trick." The teacher "reads the mind of the students. The answer to the problem is always 4, and by following the directions, the teacher can guess that young scholars are thinking of...

In this algebra worksheet, students identify the coefficient, simplify expressions, solve algebraic equations, and graph inequalities. This worksheet contains 93 equations, with an answer key.

Have the class factor and solve trinomials of integers in the form x2 + bx + c, where b and c are positive. They relate factoring to area and then follow a specific format to factor their trinomials. Tiles are used to help them...

Students practice writing number sentences. After reading real world problems, they describe the same situation by writing a number sentence. Students use algebra tiles, or counters, to demonstrate the use zero pairs in solving...

In this math worksheet, learners write 8 equations of the axis of symmetry and find the coordinates of each quadratic function. Students graph 4 of the equations and state if the vertex is maximum or minimum.

For this math worksheet, young scholars solve 6 open sentences and graph solutions using a line graph. Students then express 2 story problems in terms of inequalities. Young scholars then write open sentences for 2 graphs.

Students solve linear inequalities. In this solving linear inequalities lesson, students solve one step inequalities algebraically. Students graph the solutions on a number line. Students compare the graphs of various inequalities such...