Lesson Plan
Illustrative Mathematics

Quinoa Pasta 1

For Teachers 7th - 9th Standards
Here is a great opportunity to introduce your mathematicians to a food they may never have heard of, quinoa. It may help to show a short video on quinoa, or make some quinoa for the class to try. Once they get over how to say quinoa,...
Lesson Plan
Willow Tree

Systems of Equations

For Students 8th - 11th Standards
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.
Worksheet
Curated OER

Linear Systems: Least Squares Approximations

For Students Higher Ed
In this least squares approximation instructional activity, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students...
Worksheet
Curated OER

Linear Systems: Least Squares Approximations

For Students 11th - Higher Ed
In this least squares approximation worksheet, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...
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: 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.
Assessment
1
1
Inside Mathematics

Coffee

For Teachers 9th - 12th Standards
There are many ways to correlate coffee to life, but in this case a worksheet looks at the price of two different sizes of coffee. It requires interpreting a graph with two unknown variables, in this case the price, and solving for...
Assessment
Achieve

Ground Beef

For Students 7th - 10th Standards
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...
Assessment
1
1
Balanced Assessment

Telephone Service

For Students 9th - 12th Standards
Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...
Worksheet
Curated OER

Graphing Systems of Equations

For Students 9th
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
Interactive
Curated OER

Systems of Linear Inequalities

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, learners solve systems of linear inequalities by graphing the inequalities on a coordinate plane and determining the location of all ordered pairs that solve the system.  The three page...
Worksheet
1
1
Curated OER

Solving Linear Inequalities

For Students 8th - 11th Standards
Walk the class through the steps of how to evaluate linear inequalities in one variable and graph the solution set. Define and discuss key vocabulary terms, then have individuals work problems of varying difficulty. Included are word...
Worksheet
Curated OER

Solving Systems of Inequalities

For Students 9th - 11th
In this algebra worksheet, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.
Interactive
Curated OER

Solving System of Equations by Addition or Subtraction

For Students 9th - 12th
In this online math activity, students solve systems of equations by using addition and subtraction . This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific...
Worksheet
Curated OER

Systems of Equations (A)

For Students 6th - 8th
In this systems of equations practice worksheet, students use their problem solving skills to solve 24 problems.
Worksheet
Curated OER

Systems of Equations (B)

For Students 5th - 8th
In this systems of equations practice worksheet, students use their problem solving skills to solve 24 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...
Worksheet
Curated OER

Solve a System of Inequalities

For Students 8th - 10th
In this system of linear inequalities worksheet, students solve 5 problems with the graphing method and are given 2 examples with multiple steps to follow.
Worksheet
Curated OER

Rewriting Equations &Formulas

For Students 9th - 11th Standards
Practice with literal equations. Solve for one variable in terms of another.  Find the value of y given specific values of x. This short worksheet would make a good warm-up activity at the beginning of class or a quick assessment at...
Assessment
1
1
Inside Mathematics

Quadratic (2009)

For Teachers 9th - 12th Standards
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Assessment
1
1
Achieve

Rabbit Food

For Students 9th - 12th Standards
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
Assessment
Curated OER

Dental Impressions

For Teachers 7th - 10th Standards
What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....
Worksheet
Achieve

Stairway

For Students 6th - 10th Standards
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
Worksheet
Curated OER

Numerical Analysis: Discrete Least Squares

For Students Higher Ed
In this discrete least squares instructional activity, students use a linear algebra approach to discrete last squares approximation. This two-page instructional activity contains approximately 10 problems.