For this order of operations and sequences worksheet, students solve 16 short answer problems. Kids create an arithmetic sequence by adding seven to a number. Students perform operations on numbers in various order to see the importance...

In this linear equations worksheet, students solve 8 short answer problems. Students write augmented matrices given a system of equations in two and three variables. Students express their answers using an augmented matrix in reduced row...

Fifth and sixth graders explore prime numbers. They work with a partner to build rectangular arrays using twelve tiles. Factor pairs are noted and recorded on graph paper. Pupils construct rectangular arrays with a prime number and...

Lets keep the system working and show learners the three ways to solve linear systems of equations. Each method includes step-by-step instructions to work their way through the problem. The same problem is used for each method to show...

In this order of operations worksheet, students use the order of operations to solve given problems. Students solve simple one-variable algebra problems. They substitute a given value to evaluate expressions. This two-page worksheet...

An engaging, and not to mention attractive, lesson plan has prealgebra and beginning algebra scholars examining linear relationships. They consider the rising water level as a swimming pool is being filled. They do so by charting and...

Upper elementary and middle school learners explore currencies from a variety of countries. They use the Internet, video, and engage in hands-on activities. They practice converting U.S. currency to foreign currency and vice versa. This...

Investigate rational exponents in this math lesson. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.

Your learners explore growing patterns by describing, extending, creating, and evaluating practical pattern problems in this three-day collaborative unit. Beginning with concrete patterns and function tables to extend and...

Financial literacy is such an important, and often-overlooked, skill to teach our young people. Here is a terrific lesson which has pupils explore how to come up with a personal budget. They consider income, saving, taxes, and their...

Young chemists grow ionic crystals, metallic crystals, and supersaturated crystals in three different lab experiments. Observing these under a microscope allows pupils to compare the various structures. 

In this solving equations worksheet, students solve for x in 24 problems by combining like terms. All the equations involve addition and have only a single variable.

Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than...

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...

Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.

How many large and small watermelons did he sell? Just use the given information to write and solve a system of equations! The two videos accompanying the lesson explain the substitution method and then introduce problem solving. The...

Start with the basics. Pupils work through a review of the unit on equations and inequalities. Learners begin with solving equations and inequalities with no context, move on to problems that involve a context, and finish with a...

Young scholars determine how the weights of 7 objects on a seesaw can vary and still be in balance. They also write equations in algebraic terms, how to change 3 variables in an equation expressed in algebraic terms to obtain the correct...

Formalize the notion of a function. Scholars continue their exploration of functions in the second lesson of the module. They consider functions as input-output machines and develop function rules for selected functions.

Exploring functions not represented by an expression is this task's secret. As your learners organize business customers in a database, they explore the definition of what it is to be a function. 

Substitution is still the method of choice to verify number sentences. The detailed lesson plan has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...

Monitor the growth of young mathematicians with a comprehensive addition and subtraction assessment. Using the context of a class field trip to an apple orchard, this series of four story problems allows children to demonstrate their...

This algebra activity reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental Theorem...

Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.