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Khan Academy

Khan Academy: Constraint Solutions of Two Variable Inequalities

For Students 9th - 10th
Find the range of values of one variable thatcorresponds to a given value of the other variable in a linear inequality.
Unknown Type
Khan Academy

Khan Academy: Solutions of Systems of Equations

For Students 9th - 10th Standards
Verify whether a given pair of values is a solution to a system of equations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Activity
Paul Dawkins

Paul's Online Notes: Algebra: Systems of Equations

For Students 9th - 10th Standards
Learners examine how to solve systems of equations. Topics investigated are linear systems with two variables, linear systems with three variables, augmented matrices, and nonlinear systems. Class notes, definitions, and examples with...
Unit Plan
Khan Academy

Khan Academy: Equations & Inequalities Word Problems

For Students 9th - 10th Standards
HSA-CED.A.1: Interactive resource which create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions....
Activity
Interactive Mathematics

Interactive Mathematics: Solving Systems Algebraically

For Students 9th - 10th Standards
Both the substitution and elimination methods are presented through detailed examples. Learn step by step how to find solutions to any linear system of two variables.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.6: Accurately Weighing Pennies Ii

For Teachers 9th - 10th Standards
This illustrated math lesson shows how important levels of accuracy in measurement are. The answer can be different since a scale only accurately weighs to the nearest tenth of a gram instead of to the nearest hundredth of a gram. Aligns...
Activity
Texas Instruments

Texas Instruments: Boats in Motion

For Teachers 9th - 10th
In this lesson, students make observations about the motion of a boat going up and down the river. They will solve the system of equations algebraically and graphically.
Lesson Plan
Khan Academy

Khan Academy: Lsn 13: Systems of Equations, Algebraic and Graphical Representations

For Teachers 9th - 10th Standards
Lesson 3 of 4 for Passport to Advanced Math. Students will solve systems of equations in two variables in which one equation is linear and the other equation is quadratic or another nonlinear equation; relate properties of the function f...
Unit Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Sistemas De Ecuaciones Lineales

For Students 9th - 10th Standards
In Spanish. In this interactive unit learn how to identify, graph and solve linear equations with two unknowns.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Quadratic Functions and Equations

For Students 8th Standards
[Free Registration/Login may be required to access all resource tools.] Recognize a quadratic function as an equation in two variables with a specific form.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.6: Find a System

For Teachers 9th - 10th
The purpose of this task is to encourage students to think critically about both the algebraic and graphical interpretation of systems of linear equations. Aligns with A-REI.C.6.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Quinoa Pasta 3

For Teachers 9th - 10th
For this problem, students must determine how much of a quinoa-based gluten-free pasta is actually quinoa. They must study the ingredient list and set up linear equations to solve the problem. Aligns with A-REI.C.6.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c and a rei.a.1: Products and Reciprocals

For Teachers 9th - 10th
The purpose of this task is to test student skills at converting verbal statements into two algebraic equations and then solving those equations. Aligns with A-REI.A.1 and A-REI.C.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ee Quinoa Pasta 1

For Teachers 8th Standards
A type of pasta is made of a blend of quinoa and corn. The pasta company is not disclosing the percentage of each ingredient in the blend but we know that the quinoa in the blend contains 16.2% protein, and the corn in the blend contains...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Solution Sets

For Teachers 9th - 10th Standards
For this task, students are shown the graphs of two equations, with areas bounded by their lines and intersections shaded in different colors. They are asked to write a system of equations or inequalities for each shaded area and explain...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei the Circle and the Line

For Teachers 9th - 10th Standards
Students are required to solve a system of equations in this task which will demonstrate their understanding of the correspondence between intersection points of the two graphs and solutions of the system. Aligns with A-REI.C.7.
Unit Plan
Sophia Learning

Sophia: Equations for the Circle: Lesson 5

For Students 9th - 10th
This lesson presents the standard form and the general form for the equation of a circle, and relates the two. It is 5 of 5 in the series titled "Equations for the Circle."
PPT
Sophia Learning

Sophia: Equations for the Circle: Lesson 3

For Students 9th - 10th Standards
This lesson presents the standard form and the general form for the equation of a circle, and relates the two. It is 3 of 5 in the series titled "Equations for the Circle."
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.6: Accurately Weighing Pennies I

For Teachers 9th - 10th
In this problem, students will use the number of decimal places in the coefficients to motivate writing and solving a system of equations. Aligns with A-REI.C.6.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A ced.a.3: Dimes and Quarters

For Teachers 9th - 10th
This task requires students to recognize the pairs of linear equations in two variables that would be used to solve a given system of equations. Aligns with A-CED.A.3.
Activity
Other

Ecuaciones Lineales Con Dos Variables

For Students 9th - 10th
In Spanish. Everything you want to know about linear equations in easy to understand, step by step explanations. Discusses two variable equations, and different methods to solve them, slope, and more. Also provides practice problems for...
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Systems of Nonlinear Equations

For Students 9th - 10th Standards
Learn how to solve a system of nonlinear equations using the substitution and the elimination methods. This tutorial offers definitions, problems and step-by-step solutions, and practice exercises for you to complete and check.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.7 & a rei.d.10: A Linear and Quadratic System

For Teachers 9th - 10th
The purpose of this task is to give students the opportunity to make connections between equations and the geometry of the graphs. Aligns with A-REI.C.7and A-REI.D.10.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Systems Using Substitution

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Isolate and substitute for one variable to solve systems of equations in two variables.