Inside Mathematics
Picking Apples
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
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Solution Sets
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
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Analyzing Graphs of Two Equations
Students analyze graphs of two equations. In this algebra lesson, students rewrite word problems as linear equations. They graph their solution and compare and contrast the two items being represented.
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Rational Numbers
Young scholars investigate rational numbers in this algebra lesson. They graph systems of equations and use technology to find the point of intersection. They need a TI for this assignment.
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Basic Matrix Algebra
Students perform basic matrices operations. In this algebra lesson, students add, subtract, multiply and divide matrices. They solve system of equations using matrices.
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Algebra 2 Test
In this algebra worksheet, students solve problems involving functions, systems and conics. They simplify radicals and graph parabolas identifying the focus and ellipse. There are 20 questions.
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Linear Systems: Identifying Pivots and Multipliers
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.
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Linear Systems: Graphical Interpretation of Vectors and Linear Systems
For this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
Mathematics Assessment Project
A Golden Crown?
In this assessment task, learners determine whether a crown with given information is composed of pure gold. The task expects algebraic and numerical solution methods, so unlike Archimedes, no bathtub is necessary.
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Evaluating Expressions
In this evaluating expressions worksheet, 9th graders solve 10 different problems that include evaluating various forms of expressions. First, they evaluate the equations for the given values of x in each of the 4 boxes. Then, students...
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Discovering Math: Concepts in Algebra
Students learn that speed is a function of time and distance, a quadratic equation can be used to figure out the path of fireworks, a photographer can use Algebra to figure out how many rolls he can afford if he needs twice as much of...
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Graphing Linear Functions
Students practice solving systems of linear equations using the substitution and elimination methods. They determine if the system has one, infinite or no solution. Students also graph the linear equations.
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Example and Steps to Solving Linear Systems Using Substitution
In this linear equation activity, students solve five systems of linear equations using the substitution method. Three examples with steps to solve are provided.
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Algebra I Project: Make Your Own Business
Students explore the concept of algebra in real world situations. In this economics lesson, students design, plan, run, and evaluate a small business. Students will create a product, market the product, and try to make a profit.
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System of Two Quadratic Inequalities
Students graph a quadratic inequality and describe its solution set. They solve a system of quadratic equalities graphically and symbolically and as related to a real-world context.
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
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Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. For this algebra lesson, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.
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New York State Testing Program
In this state testing worksheet, students solve problems on a variety of topics studied throughout the year. They find the median, solve algebraic equations, solve proportions, simplify expressions, find percents, and complete...
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Spreadsheet Function Machine
Students create a spreadsheet to analyze functions. In this algebra lesson, students use spreadsheets to find the intersection of systems of equations. They identify the dependent and independent function as it relates to a line.
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
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 solve problems...
EngageNY
True and False Number Sentences II
Substitution is still the method of choice to verify number sentences. The detailed lesson has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...
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Word Problem Practice Workbook
Need worksheets that challenge your middle schoolers to apply their understanding of math? Problem solved! From integers, fractions, and percents, to algebra, geometry, and probability, over 100 pages of word problem worksheets are...
Georgia Department of Education
Analytic Geometry Study Guide
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...