In this pivot learning exercise, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page learning exercise contains examples, explanations, and...

In this linear functions activity, learners define 5 terms. They solve 6 problems for the specified term. Students graph 3 linear equations. They write the equations for 14 problems using the given information. There are 28 problems in...

In this inequality worksheet, students solve 10 multiple choice inequality problems.  Students determine solutions to inequalities and write linear inequalities given word problems.

In this vector spaces worksheet, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...

In this algebra worksheet, students play a game of "Algebra War". They write linear equations and evaluate functions. They work in groups as they play the game to reinforce basic algebra skills.

For this nullspace worksheet, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page worksheet contains approximately 8 problems.

In this linear equation worksheet, students identify the vector space of a given matrices and find the appropriate system of equations for each of four solutions. Then they solve the system and write their conclusion.

What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem 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 all things decimal in this thorough series of introduction activities. Including scripting for the teacher and detailed descriptions and examples, the plan begins by reviewing the basics of place value and writing fractions as...

Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...

In this algebra worksheet, learners solve linear equations and plot their results on the coordinate plane. There are 20 problems using slopes and intercepts to help graph linear equations.

In this solving linear equations worksheet, students solve six equations and justify each step of their proofs by stating the algebraic property used.

In this analytic geometry worksheet, 9th graders graph and solve 13 different types of problems that include determining whether equations are linear to matching given equations to their corresponding equation in the second column....

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...

What does translating points on a number line have to do with solving inequalities? Young mathematicians first learn about translations of points on a number line, and then use this information to solve linear inequalities in one variable.

Ever wonder how a butcher creates the different types of ground beef? Young mathematicians explore the methods butchers use to create their desired ground beef quality. Given a combination of two types of meat with varying...

In this math worksheet, young scholars write linear equations in slope-intercept form that passes through the given point. On the last 8 equations, students write the equation of the perpendicular line.

In this nonlinear equations instructional activity, students use iterative methods for solving systems of nonlinear equations. This four-page instructional activity contains eight multi-step problems.

In this linear graph and equations instructional activity, students calculate the gradient of slopes, and find equations of lines in patterns.

In this basic calculus review activity, students write examples and definitions of terms. Topics include the Euler's method, the SIR model, functions, equation of a line and successive approximations. This one-page activity contains...

In this slope and functions worksheet, students determine the slope of a line.  They identify functions and determine an equation of a line that is parallel or perpendicular to given points.  This three-page worksheet contains...

In this investigating slope worksheet, students use their graphing calculators to graph equations of a line with negative and positive slopes. They observe differences between the positive and negative slopes and write a rules based on...

Show your pupils that perimeter is linear and area is quadratic in nature with a short assessment task that requests learners to connect the graph and equation to a description about perimeter or area. Scholars then provide a...