The 21st segment in a 28-part series provides learners with area problems involving composite figures. To find the solution, pupils must decide whether to add or subtract areas. The composite figures are composed of quadrilaterals,...

See, decimal operations do come in handy! Pupils solve word problems that require adding, subtracting, multiplying, and dividing decimals. They use tape diagrams to express relationships and to identify the necessary operations to solve...

Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...

What do unit rates and constants of proportionality have in common? The lesson plan addresses this question and introduces the concept of constant proportionality to the class. Individuals find that the unit rate and the constant of...

Connect algebraic and geometric concepts to solve problems. The first instructional activity in the 29-part series examines complementary and supplementary angle relationships. Scholars write equations to represent the relationships and...

Building on the previous instructional activity in the 29-part series, the ninth instructional activity asks individuals to construct a triangle given specific criteria. First, they are given three specific side lengths, followed by two...

Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then...

What goes in must come out! Learners play with a function machine to determine the correct function. They enter input values and watch as the machine produces the output.

Take a trip back in time to examine angular velocity. Using the revolutions per minute, learners calculate the speed of a point on a 33 record. They compare the speed of a point on the edge of the record to the speed of a point closer to...

Build a connection between algebraic sequences and spreadsheets. Learners examine a specific folding pattern and convert the pattern into a spreadsheet. The goal of the spreadsheet is to produce a sequence of a specific pattern modeled...

Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...

What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...

Experiment with integer relationships. Young scholars consider integers that have a sum of 10. They begin with two integers, then three, four, and more. As they consider each situation, they discover patterns in the possible solutions.

Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...

Is your class in another dimension with regards to dimensional analysis? Give them some extra practice with a straightforward activity. Learners convert units by following concise step-wise examples, including setting up the...

Examine how math fits into everyday lives by writing mathematical word problems and answering them. Middle schoolers will also practice their test taking skills utilizing different kinds of tests.

Third graders arrange numbers up to 1,000. In this arranging numbers lesson, 3rd graders play a game to try and build the biggest number they can using number tiles.  Students work in groups to draw number tiles from a jar and...

In this standardized test practice worksheet, students solve thirty-four comprehensive mathematics problems.  This worksheet will help advanced math students prepare for standardized tests.

In this simple equations worksheet, students examine diagrams and write equations to support the information in the diagram. This one-page worksheet contains 10 problems. This worksheet may be completed on-line or produced in printed...

First graders study addition and subtraction. In this mathematics and physical education lesson, 1st graders pop balloons and solve math sentences involving addition and subtraction inside each balloon.

In this history and math worksheet, students solve 20 problems pertaining to life in America in the 1800s. Students read four paragraphs and solve the five problems using that information. Basic math operations are used.

Fifth graders practice solving problems.  In this fraction and decimal lesson, 5th graders recognize the relationship between fraction and decimals.  Students estimate problem results and write expressions to use for problem...

Fourth graders analyze the data in a bar graph, pictograph, line graph, and a chart/table and draw conclusions based on the data. They discuss each type of graph, write questions for each graph, and analyze the data as a class.

In this math worksheet, learners review algebraic and geometric concepts as they review for the Regents examinations. There are 34 questions.