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Using CAS and algebra tiles with Expanding and factoring trinomials
Ninth graders investigate multiplication of binomials and factoring of trinomials. In this Algebra I lesson, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.
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Count the Differences
Pupils find the difference between consecutive y-values on the calculator and write an equation that fits the data. They continue finding the differences in consecutive y-values using lists on their calculator. Learners conclude as they...
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Crossing the Asymptote
Students investigate graphs and their asymptotes. In this precalculus lesson, students examine the numerator and denominator of their rational functions. This helps them identify where and when the graph will cross its asymptote.
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Exploring Functions and Their Derivatives
Students explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
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Equations and Inequalities
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
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BC Series 1 - Derivatives
In this function worksheet, young scholars find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.
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Factoring
Pupils factor quadratic equations into two binomials multiplied by each other. In this quadratic equations lesson plan, students complete math problems in and out of class.
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Rational Expressions
Young scholars simplify rational expressions. In this algebra lesson, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
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Conjectures and Conclusions
Students draw conclusions and make conjectures given a specific scenario. In this geometry lesson plan, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is what it is.
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The Box Problem
Pupils create graphic, algebraic and verbal ideas of functions. In this algebra lesson plan, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not.
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Genes Count
Students view a video that reviews Mendelian genetics. They discuss the Hardy-Weinberg Law and use Popsicle sticks to simulate genetic variations and ratios in offspring.
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Design a Track
Young scholars investigate track and field dimensions, measure an actual track, and construct a scale model. The use of a meter stick, dimensional analysis, and the application of the distributive property to variables forms the main...
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Functions
Students explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.
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The Unit Circle
Students relate the trigonometric functions to the coordinates of the unit circle with access to explorelearning.com. They determine the signs of trigonometric functions in each quadrant.
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Applications Of Rational Functions
Learners engage in a lesson that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson for the purpose of practice during guided instruction. Students can...
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Worksheet Chapter 5 College Prep Algebra
In this algebra worksheet, students evaluate algebraic expressions, simplify exponents, write numbers in scientific notation, perform division of equations, and find the area of given problems. This worksheet contains 75 problems and an...
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Powers of Trig Functions
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
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y Intercepts
For this y-intercept worksheet, students graph functions and determine the y-intercept of the equation. Explanations and examples are provided prior to the exercises. This two-page worksheet contains ten problems.
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Create and Analyze Rectangular Patterns
Students explore the concept of geometric patterns. In this geometric pattern lesson plan, students use Microsoft Excel to explore geometric patterns. Students analyze growth rates of pattern growth. Students create their own...
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The Mandelbrot Set
Students explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set and Mandelbrot set...
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The Corner Problem
Students explore the concept of the corner problem. In this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...
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Geometric Sequences
Learners relate pattern and sequences to music. In this geometry lesson, students identify different scales using chromatic scales. They compare the different waves to sine waves and other trigonometric waves.
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Squaring Function of Natural Numbers
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
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Products of Linear Functions
Students investigate the horizontal intercepts of functions. In this algebra instructional activity, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations...
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