Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.

Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...

Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...

Now there are parentheses in these equations? As the lessons continue in this series, equations get progressively more complex. Eighth graders solve equations by applying the distributive property before using inverse operations. 

How well can you launch a ping-pong ball? Small groups design launchers that can launch a ping-pong ball 20 feet into a target. The teams follow the engineering design process as they develop a solution that meets the design...

Groups use alcohol and chromatography paper to separate the color components of black ink. The purpose of the activity is to allow the class to become aware that mixtures exist in hidden places. 

Create tables of solutions of linear equations. A lesson plan has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph. 

The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...

A pencil and an eraser bring forth the message that negative comments never truly disappear. On a large piece of paper, scholars list negative comments then attempt to replace them with kind ones. Pupils discuss the impact of negative...

Don't stuff money under your mattress. To find out why learners first complete a task determining how $24,000 in cash would affect the height of a mattress and whether this same amount would fit into a suitcase of given dimensions....

A new, improved version of the game Battleship? Learners graph linear inequalities on the coordinate plane, then participate in a game where they have to guess coordinate points based on the solution to a system of linear...

Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...

What is the main difference between an engineer and a technician?  This is one of the driving questions in a plan that proves that analysis at every step of development is crucial to the engineering design process. The lesson...

As an exercise in self-awareness and improvement, class members create a Conflict Shield listing 12 skills they believe are the most useful in conflict resolution. They then color the ones they have mastered while leaving uncolored those...

After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.

Can a cat have 2,000 descendants in 18 months? To determine if this claim is realistic, individuals must take different pieces of information into account when justifying their responses.

Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...

Take finding volume of 3-D figures to the next level. In the 22nd lesson of the series, learners find the volume of composite solids. The lesson the asks them to deconstruct the composites into familiar figures and use volume formulas.

Here's a resource that provides debaters with the background information and worksheets they will need when planning a policy debate. Templates and sentence frames, as well as a rationale for using debates in the classroom, are...

Sew up pupil interest with an engaging, hands-on instructional activity. Learners first design a sports bag given constraints on the dimensions of fabric. They then evaluate provided sample responses to identify strengths and weaknesses...

Tiny particles can provide big learning opportunities! Middle school scientists explore the world of nanoparticles through reading, discussion, and experiment. Collaborative groups first apply nanotechnology to determine water...

Sometimes the interview process includes negotiating for what you want. Here's an activity that guides job seekers to achieve The Best Alternative to a Negotiated Agreement (BATNA). Participants take on the role of job seekers and...