What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.

Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...

Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.

Explore distance and time factors to build an understanding of rates. A comprehensive set of problems target learners of all grade levels. The initial problem provides distance and time values and asks for the winner of a race. Another...

Collaboration is the key for this equation-solving lesson. Learners solve a multi-step linear equation that requires using the distributive property. Within collaborative groups, scholars discuss multiple methods and troubleshoot mistakes.

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...

Teenagers love to think about driving and buying their first car. The intent of this resource is to create an equation for the list price of a car and add the appropriate state tax. Once your teens understand the calculation, ask them to...

Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....

Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...

Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...

Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...

Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...

Four simple equations, each with two variables, try to get at the important question of reasoning about equations. The problem isn't to solve the equations, but to understand the nature of their solutions. These equations address the...

Number patterns can seem mysterious. Help your learners unravel these mysteries as they complete an intriguing task. Through examination, collaborative groups determine that they are able to produce all integers above a certain...

Here is an activity that incorporates subtraction in word problems. Youngsters are provided with six word problems that essentially deal with the same numbers in each problem, yet use different comparison language. These problems are...

The lesson plan for an interesting word problem concerning swimming and rowing across a river, being swept downstream by the current, and walking back up the other side. Basic arithmetic skills are all that are needed to approach the...