Look at rates from a general perspective. The 17th part of a 29-part series provides problems that help pupils develop more general ratios from given rates. Scholars determine unit rates and ratios that are associated with given rates....

What in the world is the zeroth power? Examine the patterns of exponents as they apply to the zeroth power. Scholars apply the zero property to simple exponential expressions in this fourth lesson in a series of 15. The examples include...

Explore angle relationships created by parallel lines and transversals. The 13th lesson of 18 prompts scholars use transparency paper to discover angle relationships related to transversals. Learners find out that these angles pairs are...

Division is division is division is division ... four different ways to write division. Scholars continue to learn about division expressions. They translate between several forms, including verbal phrases, expressions using the division...

Reading and writing take on a whole different meaning in math class. Young mathematicians learn to read verbal phrases by focusing on operation words. They write equivalent algebraic expressions for both mathematical and contextual...

There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...

Class members investigate relationships between two variables in the seventh installment of a 16-part module that teaches scholars how to find and describe patterns in scatter plots. Young mathematicians consider linear/nonlinear...

Young mathematicians use bags of Skittles to help them gain practice in graphing and organizing data. They work in pairs, and after they have counted and organized their Skittles, they access a computer program which allows them to print...

Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...

Parallel lines and transversals work together to create unique angle pairs. An inquiry-based activity allows scholars to explore these relationships and give them each a name. Flashcards allow them to study the new vocabulary.

Middle schoolers discover how to relate collected data with a box and whiskers graph in a number of formats. They collect, organize, create, and interpret a box and whiskers graph. Pupils interpret the difference between sets of data,...

Although the methods are all scientific, forensic science was started by police officers rather than scientists, who relied on observation and common sense. Young detectives use many tools to solve crimes around the school in a...

Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...

Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...

All data is not created equal. Scholars examine the different types of studies and learn about the importance of randomization. They explore the meaning of causation and when it can be applied to data. 

What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 

Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...

Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the...

Explore finding the surface area of composite figures. Building on the previous lessons in the 29-part series, the 24th installment examines the surface area of three-dimensional solids. The focus is on decomposing composite figures and...

If you use a fabulous lesson plan, then your pupils can become fabulous at solving equations. The 24th installment of 25 incorporates the use of if-then statements to illustrate the properties of equality used in solving two-step linear...

Given a diagram of connected or overlapping triangles, individuals must find congruent parts using various properties. Pictures include reflexive sides and vertical angles amongst the marked congruent parts.

Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...

Explore vocabulary and notation related to triangles and congruence. The fifth lesson in the 29-part series helps pupils build their knowledge of triangle relationships. Individuals identify corresponding parts of identical triangles and...

Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements.