Illustrative Mathematics
Growing Coffee
Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...
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Addition of Ordinates
For this college algebra worksheet, students view graphs of two functions. They are given a values chart. Students graph the result of adding the two functions.
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Rational Equations
For this algebra worksheet, students find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.
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Dividing Radical Expressions
In this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
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Solving Rational Equations
Algebra learners solve various rational equations. These start out fairly basic and get a little more complex.
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Addition And Subtraction of Rational Expressions
Young algebraic thinkers find the solutions to 20 rational expressions using addition and subtraction. They pay close attention to following the Order of Operations!
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Solving Polynomial Equations by Factoring
Students factor polynomial equations. In this algebra lesson, students apply the zero product property to factor quadratic equations. They solve real life scenarios by apply the concepts of parabolas.
Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
Illustrative Mathematics
Equivalent Expressions?
Pre-algebra pupils need to understand that two expressions are only equal if they have the same value. Show them that once the expression is multiplied by a number, the value of the expression changes. It makes for a good lead-in to...
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Gift Wrapping
Sixth graders use the example of a gift wrapping service found in the mall in order to create a problem situation that can be solved mathematically. They convert the word problem into algebraic expressions to be solved.
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Models with monomials and polynomials
Students participate in a lesson that focuses on the concepts of combining monomials to make polynomial expressions. They use algebra tiles to complete the exercises in the lesson. This is hands-on learning with successive problem...
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Using the Distributive Property #5
In this using the distributive property #5 worksheet, students simplify 10 algebraic expressions by using the distributive property and combining like terms.
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Patterns
In this Algebra I worksheet, 9th graders explore number and geometric patterns and use the Sieve of Eratosthenes to find the prime numbers less than one hundred. The six page worksheet contains eight multipart questions. ...
West Contra Costa Unified School District
Search and Rescue Activity
Get your classes moving and practicing sequences at the same time! Learners move about the room solving problems and finding their solutions. Problems include both recursive and explicit formulas and both geometric and arithmetic sequences.
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Factoring Trinomials
Students factor trinomials using algebra tiles and blocks. In this algebra lesson, students complete a trinomials station activity. They work backwords to find their answers and discuss their steps in a group.
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Parabolas
In this Algebra I/Algebra II worksheet, learners determine the vertex and the axis of symmetry of a parabola. The two page worksheet contains a combination of eleven multiple choice and free response questions. Answers are...
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Concepts, Patterns, Formulas, Substitution
In this algebra lesson, young scholars define algebraic terms and rewrite them using math symbols. There are 10 problems drawing correlations to geometry as well as algebra.
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Strike a Pose: Modeling in the Real World (There's Nothing to It!)
Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...
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River Optimization Problem
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
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Parabolas
In this Algebra I/Algebra II worksheet, students identify the vertex and the axis of symmetry of a parabola, given the equation. The two page worksheet contains a combination of ten multiple choice and free response...
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Dividing by Monomials
In this math worksheet, students simplify 27 algebraic division problems. Algebraic terms include brackets, negatives, and multiple powers.
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Solve Me - Multi-Step Equations
Students explore multi-step equations. For this pre-algebra/algebra I lesson, students use the TI-nspire computer algebra system to check the steps they used to solve multi-step equations and equations with variables on both sides.
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Factoring
In this Algebra I worksheet, 9th graders factor algebraic expressions completely. The one page worksheet contains ten problems. Answers are provided.
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An Introduction To Solving And Graphing Inequalities
Students graph inequalities and solve the equations. In this algebra lesson plan, students graph their solutions on a number line and create an inequality for a word problem.