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Waterloo Mathematics
Grade 7 Patterning and Algebra: Algebraic Expressions
Classmates solve 18 different problems that are mostly word problems that apply algebraic expressions. They draw different combinations of masses on a scale that would balance. They also simplify expressions and solve for x in a number...
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Point-Slope Form
Ninth graders explore the point-slope form of linear equations and graph lines in the point-slope form. After completing the point-slope equation, they identify the slope of a line through a particular point. Students explain the...
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That's a Fine Line You're Walking!
Students experiment with Hiker program to practice real world applications of linear functions and develop their understanding of expressions, relationships, and manipulations involved in writing and graphing linear equations in...
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Matrices In Encryption And Decryption Of Codes
Pupils relate Cryptography to the solving of simultaneous linear equations in matrix notation. They explore various methods of encrypting and decrypting codes. Pupils discuss and solve simultaneous linear equations.
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Ten Word Problems Solved Using Systems of Equations
In this quadratic linear systems of equations worksheet, students solve ten word problems using systems of equations. The solutions are provided.
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Solving Systems by Elimination
Students review solving absolute value equations. They watch as the teacher demonstrates solving a system of linear equations by addition. Students practice working problems by multiplying to obtain opposite cooefficients, and then...
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Worksheet 5
In this math learning exercise, students review integrating factors for linear equations. Then they read about the definition and solving of homogeneous equations.
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Earthquakes
Eighth graders demonstrate the mathematical components of a scientific problem as well as illustrate how real world problems can be solved using math. They demonstrate math skills such as rate calculation, graphing, and linear equations.
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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, learners execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
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Every Graph Tells A Story
Seventh graders explore linear equations. In this graphing lesson, 7th graders explore constant rates of change. Students discover the real-life application of graphs and demonstrate their ability to read graphs and write...
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Linear Systems: Differential Equations
In this differential equations worksheet, students determine the stability of matrices and evaluate a matrix with an exponent. This two-page worksheet contains examples, explanations, and two problems to solve.
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Solving Equations By Systematic Trial
Young scholarss solve equations using guess and check. In this algebra lesson, students solve linear equation using the systematic trial. They isolate and identify the missing variable using non tranditonal methods.
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Linear Systems: Differential Equations
In this differential equations worksheet, students solve collections of simultaneous differential equations. This six-page worksheet contains examples, explanations, and approximately six problems.
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Linear Equations
In this variables worksheet, students eliminate the x or y values in each of the equations. Students complete 5 equations total on this worksheet.
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Linear Relationship
Students use a graphing calculator to examine the association between the data points and equation of a linear relationship. They write equations in slope- intercept form. Answer key included.
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Solving a System of Linear and Quadratic Equations
For this Algebra II worksheet, 11th graders use graphing to solve a system of equations in which one equation is linear and the other is quadratic. The three page worksheet contains a combination of nine multiple choice and free...
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Linear and Exponential Models
Learners investigate the differences between linear and exponential models. In this linear and exponential models lesson, students make a table of given data. Learners determine if the data is linear or exponential by...
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Linear Relationships - Standard Form
Students use a graphing calculator to examine the association between the data points and equation of a linear relationship. They write equations in standard form and then graph the equations using the slop-intercept form. Answer Key...
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Graphing Systems at the Races
Learners investigate systems of equations as they use the Ti-Navigator to explore scenarios about dog races and NASCAR races. Pupils determine the winner of the race and when opponents pass each other given a speed and distance.
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The Slope of Parallel and Perpendicular Lines
In this Algebra I/Algebra II activity, students examine slope to determine if the given lines are parallel or perpendicular. Students determine the equation of lines that are either parallel or perpendicular to the given...
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Introduction of Single and Multiple Linear Inequalities
Students solve linear inequalities. In this algebra instructional activity, students rewrite inequalities using one and two step equations. They graph their findings and identify the slope and solution of the line.
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Walk the Line
Learners create constant speed versus motion graphs. They will perform linear regressions on their data to describe the graphs mathematically.
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Linear Inequalities
In this Algebra I worksheet, 9th graders determine if the given value is a solutions to the given linear inequality. The one page worksheet contains six multiple choice and one free response question. Answers are provided.
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Lines
In this Algebra I/Algebra II worksheet, students determine the slope of a line, write the equation of a line, examine parallel and perpendicular lines, and solve problems involving linear relationships. The two page worksheet...
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