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Sloppy Student I
"Does this work every time?" We've all heard it. Now learners get to explore methods to answer that question themselves. Pupils analyze a mistake that has been made with creating a formula for multiplying binomials. They then create...
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Lowest Common Multiple through the Grades
The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...
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Calculating Arcs and Areas of Sectors of Circles
Going around in circles trying to find a resource on sectors of circles? Here is an activity where pupils first complete an assessment task to determine the areas and perimeters of sectors of circles. They then participate in an activity...
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Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The activity introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
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Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the velocity...
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Circle Pattern
Cool circle patterns! To investigate patterns of shading in circles, learners use the values for specific examples of the pattern to generate a verbal rule for the arrangement.
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Factoring Polynomials
Young mathematicians discover trees organize more than just families — they help factor, too. The lesson begins with factor trees and develops slowly to factoring by grouping and special patterns.
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Seeing Structure in Expressions
Structure makes everything easier — even math. A helpful resource contains five short problems that require pupils to use the structure of the expressions in order to answer the questions.
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Greatest Common Factors - Concept
Introduce your class to the greatest factor on earth. The group of videos introduces factoring polynomials by finding the greatest common factor (GCF). They connect finding the GCF of the terms in a polynomial to finding the GCF of two...
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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...
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Factoring
Factoring polynomials is an important skill through high school math and beyond. It provides instructions for the basic types of factoring and a practice set with an answer key.
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Factoring Trinomials by Using the Punnett Square
Factoring is one of the first places in math that a young algebrist runs into multiple ways to work a problem. For the more concrete learner who needs a visual structure for problem solving, this presentation of factoring using a Punnett...
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Performance Based Assessment Practice Test (Algebra II)
A full-length practice test like this one, especially one that includes a number of open response questions, is a phenomenal tool in a class as rigorous as algebra 2. Here the learners can really get that hands-on experience wrestling...
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End of Year Practice Test (Algebra I)
This complete multiple choice and short answer practice end-of-year test for algebra 1 offers a wealth of opportunities for customization. Offer it as a whole, to track progress or prepare the class for the format of the test, or...
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Computations with Complex Numbers
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that learners...
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Adding and Subtracting Radicals
Help remove some of the confusion surrounding the addition and subtraction of radical numbers with this set skills practice problems. Taken straight from the pages of a math text book, this resource provides learners with numerous...
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Sum of Even and Odd
Your algebra learners will make use of structure and manipulate expressions involving function notation using the definition of odd and even functions. They then advance even further to analyze the structure in a system of two equations.
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Seeing Dots
Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.
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Building a General Quadratic Function
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
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Animal Populations
Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than that example, and they do a good...
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Group Worksheet 1F - Graphing and Finding Zero
Graph quadratic functions and find the zero in this worksheet. Twelve problems range from those that could be quickly factored and graphed, to those that require use of the quadratic formula and their graphs approximated. Solutions...
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Assignment 1.6: Solving Quadratic Equations
Practice solving different types of quadratic equations with these three worksheets. Problems include equations already factored, simple square root problems, and problems requiring different factoring techniques where the highest degree...
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Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
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An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...