Curated OER
Linear Systems: Vector Spaces
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...
Curated OER
Linear Systems: Independence, Basis and Dimension
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
Curated OER
Linear Systems: Fundamental Theorem
In this fundamental theorem worksheet, students show matrix multiplication, identify the vector in the nullspace and interpret equations. This two-page worksheet contains examples, explanations and three problems.
Curated OER
Systems-Angle Problems
In this geometry activity, 10th graders use systems of linear equations to solve word problems which involve supplementary and complementary angles. The one page activity contains ten problems. Answers are not provided.
Curated OER
Linear Systems: Fundamental Theorem
In this fundamental theorem worksheet, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page worksheet...
Curated OER
Linear Systems: Elimination
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.
Noyce Foundation
Digging Dinosaurs
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...
Curated OER
Linear Systems: Rectangular Matrices
In this rectangular matrices worksheet, students complete solutions to given matrices. They identify the pivot columns and examine the nullspace of a matrix. This four-page worksheet contains examples, explanations and approximately...
Curated OER
Systems of Equations
In this algebra worksheet, learners solve systems of equation through graphing, linear combination and substitution. There are 3 questions.
Curated OER
Graphing Solution of a Quadratic and Linear System
In this algebra worksheet, students identify the systems of equation as quadratics or linear. They graph their solutions. There are 4 questions with an answer key.
Curated OER
Dental Impressions
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....
Curated OER
Tale of the Tape
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
Concord Consortium
Betweenness I
Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...
Achieve
Ground Beef
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...
Balanced Assessment
Telephone Service
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...
Curated OER
Numerical Analysis: Nonlinear Equations
In this nonlinear equations worksheet, students use iterative methods for solving systems of nonlinear equations. This four-page worksheet contains eight multi-step problems.
Curated OER
Algebraic Solution of a Quadratic, Linear System
In this algebra worksheet, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
Achieve
Rabbit Food
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...
Achieve
Stairway
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...
Concord Consortium
Look but Do Not Touch
We seem to keep missing each other. A short task provides pupils with a quadratic function, as well as a linear function with a missing coefficient. They must determine the value of the coefficient for which the graphs do not intersect.
NASA
Lights on the International Space Station
Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to...
Curated OER
Lines of Slope
In this lines of slope worksheet, 9th graders solve and complete 40 various types of problems. First, they find the equation of the lines described and write in slope-intercept form. Then, students graph each equation. They also find the...
Curated OER
Linear Systems
For this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
Curated OER
How Much Does Sibyl Dibble Get Paid Per Hour?
In this problem solving word problems, students determine how much a person makes per hour. The solution is provided. Students can solve this problem in several ways.
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