In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...

It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.

The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...

Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...

What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...

An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 

Use this information, presentation, and infographic to build several lessons on telling the time and expressing the date in Spanish. The information is broken into topics and includes many examples and exceptions to the standard rules....

Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...

Your algebra learners will make use of structure and manipulate expressions involving function notation using the definition of odd and even functions. They then advance even further to analyze the structure in a system of two equations.

Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...

Linear equations are the focus of activities that ask learners to first complete a task that involves interpreting algebraic expressions and solving linear equations. They then take part in a card activity matching...

Learners discover the magic in mathematics as they solve numerical puzzles involving magic sums. They then make a conjecture as to why no additional examples are possible based on an analysis of the puzzles.

Students solve word problems in which they add, subtract, multiply, and/or divide integers, identify rules and patterns for multiplying and dividing integers, create scenarios that represent each expression, and evaluate expressions.

Have your middle schoolers participate in numerous activities designed to spark their awareness of literature. They express ideas and concerns clearly and respectfully in conversations and group discussions. Next, they view a music...

Use a vocabulary chart to introduce math functions. The class defines a list of mathematical vocabulary terms on a worksheet, as well as completes equations and expressions. They examine word problems and practice transcribing them into...

What makes a function a function? Learn the criteria for a relation defined as a function both numerically and graphically. Once young mathematicians define a function, they use function notation to evaluate it. 

Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...

Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in...

In this radical worksheet, students write given radical expressions in a square root form. Explanations and examples are provided at the beginning of the document. This two-page worksheet contains 24 problems. Answers are located at the...

Function machines are a great way to introduce the topic of functions to your class. Here, you will explore the input and output to functions both using numerical and non-numerical data. Learners are encouraged to play with different...

Le Chatelier's interest in thermodynamics and building materials such as cement and plaster led to the Le Chatelier Principle in 1884. Activity 13 in a series of 36 extensively explores chemical equilibrium. Learners read about...

Students construct sets of numbers up to 10, write the numerals up to 10, and count up to 10 rationally. They use ten frames and also make bean sticks. Communication is the Process Standard featured in this lesson. Finally, students...

In this algebra worksheet, students identify the coefficient, simplify expressions, solve algebraic equations, and graph inequalities. This worksheet contains 93 equations, with an answer key.

Fifth graders, after inventorying, add up the numerators of their fractions to see if it is the same number as the denominator. If it is, then they are ready to build whatever they wish, but using only what is in their individual inventory.