The shortest distance between two points is a straight line. Learners use the Pythagorean Theorem to develop a formula to find that distance. They then find the midpoint using an average formula. 

A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...

Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.

Two-variable equations can express a constant rate situation. The lesson presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the points. The resource...

Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...

Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...

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.

In this transformations worksheet, students observe the errors in the reflection of a picture.  They determine the number of transformations needed to complete a grid.  Students perform reflections according to directions and...

In this equations of circles worksheet, 10th graders solve 10 different problems that include graphing different circles. First, they convert the equations into center-radius form given the coordinates of the center of the circle and its...

In this slopes of lines worksheet, 10th graders solve 9 problems that include finding the slope of various lines. First, they find the slope of the line passing through the given points for the first 6 problems. Then, students find the...

In this analyzing cubes worksheet, 9th graders solve and complete 6 different types of problems. First, they organize the given data into the table provided. Then, students study the patterns in the table and tell whether the pattern of...

In this scatterplots and regressions worksheet, students solve 6 different types of problems related to graphing scatterplots and interpreting regressions. First, they create a scatterplot from the given data coordinates and then,...

In this functions worksheet, 9th graders solve and complete 24 various types of problems. First, they complete the table with the correct distance for each hour given. Then, students enter the coordinate pairs into the function table...

In this distance worksheet, students solve 12 multiple choice, short answer, and graphing problems.  Students use the distance formula to find the distance between two points.

In this linear equations worksheet, 9th graders solve and complete 12 different problems that include writing the equations in point-slope and standard forms. First, they write the standard form of an equation that passes through the...

In this graphs and equations of lines worksheet, 10th graders solve 12 different problems that include graphs and various equations of lines. First, they determine the slope of a line that passes through two sets of points. Then,...

Students relate data to coordinate graphs and plot points on this graph. They use minimum wage data to construct the graph. Students decide appropriate time intervals for the graphs. They share graphs with their classmates.

In this systems of equations worksheet, students solve and complete 23 various types of problems. First, they solve each system of equations by  graphing on the grids provided. Then, students solve each system by substitution and by...

Fourth graders use tangram sets to investigate the congruence of shapes. They use congruent shapes to demonstrate the properties of slides, flips, and turns. They complete a math journal entry that describes and illustrates each concept.

Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

Agriculture is truly a math-based profession! Help the dairy farmer determine the supplies needed to complete his barn. Using given dimensions, learners build equations and use units to determine the correct amount of materials.

Writing an equation of a line is as easy as m and b. A lesson presentation gives individuals different strategies for writing equations of lines. Some items provide a slope and a point while others provide two points. Whatever the given,...

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