One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...

What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.

Don't assume your pupils understand assumptions. A teacher resource provides valuable information on inferences, assumptions, and conditions, and how scholars tend to overlook these aspects. It focuses on regression analysis, statistical...

What makes a community? How communities differ? Young scholars research different types of communities, small rural towns, and large crowded cities. They respond to writing prompts, and write essays in groups to understand the wide...

What was Bryce's mistake? Through analysis of a student work example, learners develop their own ability to compare the fractions one fourth and one half. Central to this activity is the concept that, when comparing fractions, the whole...

Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...

A seemingly simple question that reveals a lot about a student's understanding of fractions. In finding an answer, learners compare fractions with different denominators that are both greater and less than one. No number line is...

if you've ever had to guess how many items were in a jar, then this problem is for you! With a big jar full of red and white marbles, does picking a sample of 16 allow your learners to get a good estimate on the percentages of each...

Your geometry learners explore Angle-Side-Angle congruence in this collaborative task. The sum of the interior angles of all triangles being one hundred eighty degrees, is the key learners will discover as they explain their reasoning...

Your learners will dance in their seats as this talented drummer connects math to music in a short video clip. Clayton Cameron shows how math puts the "cool" in various genres of music, including jazz, hip-hop, pop,...

Third graders investigate numerical and geometric patterns and express them in words or numbers.  In this algebraic reasoning lesson, 3rd graders analyze the structure of the pattern and how it changes or grows, organize information...

Students investigate the lever and the mathematics associated with levers. They determine the conditions necessary to balance a system of forces around a fulcrum.

Students in a teacher education program enhance their awareness of patterns. They discover how to support their students in developing this skill in mathematical terms. They role play the role of a K-2 student and collect images from...

Sixth graders construct a rule about the number of sides found in a pattern of hexagons. In this mathematical problem solving lesson, 6th graders observe different hexagon patterns and create a rule about the relationship between the...

Students investigate current models for Lunar and Martian settlements and study the mathematics behind these designs. They design their own Lunar or Martian settlement with an explanation of why their model would work best.

In this New York state sample test worksheet, 8th graders solve thirty-three sample math problems designed to help students prepare for the grade eight math test.  Tips for taking the test are provided.

In this algebra and geometry activity, students solve seven varying math problems.  This activity will help prepare students for standardized tests covering algebra and geometry.

Seventh graders discover that there are multiple strategies to be used in problem solving. They explain a problem solving situation in their own words and determine a possible strategy for solving the problem.

Students help solve real-life classroom problems. In this problem solving activity, the class sits down as a whole and discusses possible solutions to real problems that they face as a class.

Fourth graders determine a way to place numbers in the nine circles that are arranged in a triangular pattern so that each side has an equal sum. They use each number once and practice adding single digit numbers.

Students discuss pyrotechnics and what they have noticed about their height and speed. They think about the path which fireworks follow which is a parabola. They follow multiplication patterns to determine the Zero Product Property and...

In this brainstorming worksheet students will analyze tasks in order to focus on quick thinking. Students will alphabetize words, list zoo animals, construct a mathematical equation, and complete analogies.