What's the difference between qualitative and quantitative observations? Learners make observations, inferences, and predictions about their environment with a set of questions and activities that are applicable to either language...

Pupils complete a review learning exercise that highlights the key problems from the first eight lessons in the series. Topics include the Pythagorean Theorem and its converse, as well as finding volume of three-dimensional figures.

We know theorems about circles—now what? Class members prove a theorem, with half the class taking the case where a point is inside the circle and half the class taking the case where a point is outside the circle. The lesson then...

If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property. 

What do you have in common with a fruit fly? About 60 percent of your DNA. The resource, divided into two units, is intended for grades four to eight and another for high schoolers. Both units include eight lessons covering the...

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.

Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix. 

Triangles, triangles, and more triangles! In this second installment of a 36-part series, your young mathematicians explore two increasingly challenging constructions, requiring them to develop a way to construct three triangles that...

Teams use the design process to design, build, and test a model levee to protect the town from a wall of water. A handout provides a price list for the materials learners can use to build their levee within a budget.

Amaze your scholars with an activity that uses a Cartesian diver to demonstrate Pascal's Law, Archimedes' Principle, and the Ideal Gas Law. Groups then repeat the process and make their own diver move up and down in a bottle.

It might be silly to determine the creep rate of putty but groups will enjoy making different formulations of silly putty and playing with them to understand how the different mixtures behave. The second part of the activity has groups...

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. 

Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra. 

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...

High school scientists build their own magnetometer and use it to map the field surrounding a bar magnet. Excellent background resources is included, as well as a diagram of how to build the magnetometer.

Feel the pull of science! The final installment of this 18-part series is an application of everything learned in the previous high school lessons. Scholars are given a magnetic field map and must propose an arrangement of magnets that...

So you built a magnetometer, now what? High school scientists use their magnetometer made in a previous lesson to map the union of magnetic fields of dipole magnets. They experiment with different alignments and draw conclusions about...

No GPS allowed! High school scientists continue to explore magnetic fields with a hands-on activity. After mapping the ambient magnetic field in the classroom and completing data analysis, they write about the similarities and...

Try as you might, some functions just cannot be computed. The lab introduces the class to the possibility of unsolvable problems. The fourth lesson in a series of seven begins with a logic problem, then progresses to looking at functions...

Show budding mathematicans how to find the sine of pi over 12. The third instructional activity in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using...

Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...

Scholars learn how to crack secret codes as they continue reading from the Blown to Bits and try to crack the random substitution cipher. They also begin learning about the Vigenere cipher. 

An in-depth lesson, the fourth activity in a series of 36, begins with teaching how the periodic table's arrangement came to its current design. Using this knowledge, pupils then move on to analyze the arrangement of elements to their...

If there is a conditional statement, then there is a hypothesis and conclusion. Pupils learn how to identify the parts of conditional statements. Class members continue to work with conditional statements and rewrite them in their many...