Worksheet
Curated OER

Linear Systems: Identifying Pivots and Multipliers

For Students Higher Ed
In this pivot worksheet, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page worksheet contains examples, explanations, and approximately ten problems.
Worksheet
Curated OER

Linear Systems: Identifying Pivots and Multipliers

For Students 11th - Higher Ed
In this identifying pivots worksheet, students use algebra to find equivalent systems of equations. This four-page worksheet contains examples, explanations and approximately ten problems.
Worksheet
Curated OER

Linear Systems: Definition of the Nullspace

For Students 11th - Higher Ed
In this nullspace instructional activity, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page instructional activity contains...
Lesson Plan
Curated OER

Solving Systems via Elimination (Multiplication Method)

For Teachers 9th
Ninth graders investigate systems of linear equations.  In this Algebra I lesson, 9th graders solve systems of linear equations using the elimination method.   Equations are written in standard form.
Lesson Plan
Curated OER

Solving Systems by Graphing

For Teachers 9th - 11th
Students solve systems of equation through graphing. In this algebra lesson plan, students solve linear equations and analyze the result to figure out if there is one solution, no solution or infinitely many solutions. They graph their...
Worksheet
Math eBook

Slope of a Straight Line

For Students 8th - 10th
In this lope of a straight line worksheet, students compute the slope of a line when given two points. This four-page worksheet contains 16 multi-step problems.
Lesson Plan
1
1
Illustrative Mathematics

Equations of Lines

For Teachers 7th - 9th Standards
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases.  It...
Worksheet
Curated OER

Linear Systems: Elimination

For Students Higher Ed
In this elimination worksheet, students use the elimination process to transform a system into an equivalent form. This three-page worksheet contains three practice problems as well as examples and explanations.
Lesson Plan
Illustrative Mathematics

Fruit Salad

For Teachers 5th - 7th Standards
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Lesson Plan
Cornell University

Math Is Malleable?

For Students 9th - 12th Standards
Learn about polymers while playing with shrinky dinks. Young scholars create a shrinky dink design, bake it, and then record the area, volume, and thickness over time. They model the data using a graph and highlight the key features of...
Lesson Plan
Curated OER

Strike a Pose: Modeling in the Real World (There's Nothing to It!)

For Teachers 8th - 12th Standards
Adjust this activity 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...
Lesson Plan
Curated OER

Solving Systems with Row Operations 1

For Teachers 9th - 12th Standards
Students solve systems of equations. In this algebra lesson, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.
Handout
2
2
Curated OER

Parent Functions Review Sheet

For Students 9th - Higher Ed Standards
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet...
Handout
Del Mar College

Quick Reference Card

For Students 9th - 12th Standards
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. 
Lesson Plan
Curated OER

Solving Systems of Equations by graphing for Algebra One

For Teachers 7th - 11th
Students watch the teacher demonstrate on an overhead projector how to graph various equations before the students try them on their own. They start with pencil and paper; once they grasp the concept they move on to punching in the...
Lesson Plan
Curated OER

Identifying slope from Equations

For Teachers 8th - 12th
Students find the slope of a line given a linear equation in slope-intercept form. They also find the slope of a line given a linear equation in standard form. Students finally graph the line to show it visually.
Lesson Plan
Curated OER

Introducing Linear Terminology

For Teachers 9th
Ninth graders graph linear equations and inequalities in two variables and then, they write equations of lines and find and use the slope and y-intercept of lines. They use linear equations to model real data and define to define the...
Lesson Plan
Curated OER

Systems of Word Problems

For Teachers 9th
Ninth graders investigate systems of linear equations.  In this Algebra I lesson, 9th graders explore word problems that can be solved by using a system of equations.   The problems involve such topics as cell phone usage,...
Worksheet
Curated OER

Linear Systems: The Matrix Inverse

For Students Higher Ed
In this matrix inverse worksheet, students identify a matrix which when multiplied by a coefficient matrix, it transforms into an identify matrix. They use the Gauss-Jordan elimination process to find an inverse matrix. This four-page...
Worksheet
Curated OER

Analytic Geometry

For Students 9th
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....
Lesson Plan
Curated OER

Introduction to Functions

For Teachers 7th - 9th
Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.
Lesson Plan
Curated OER

Practice Graphing y = mx + b

For Teachers 9th
Ninth graders graph linear equations of the form y= mx + b. In this algebra lesson plan, 9th graders are able to graph a line given the slope and y-intercept. They can write the equations of a line given the graph of a line and can...
Worksheet
Math Mammoth

Slope; Math Mammoth.com

For Students 8th - 9th
For this math activity, students find the slope of four lines when they are drawn on a coordinate grid. Students are given the slope and draw the line for two lines. They use the slope formula to find slope when given two points on a...
Worksheet
Curated OER

Scatterplots and Regressions

For Students 8th - 9th
For 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,...