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Exploration of Trigonometry
Learners explore how changing an angle in a triangle changes the ratio of the sides. They also explore how changing the sides can make changes to an angle in a triangle. Finally, they determine how two different pairs of sides, in the...
Curated OER
Name That Tune: Matching Musical Tones Through Waveform Analysis
Pupils detect the waveform of musical notes to determine the code for the "safe" in this forensics simulation instructional activity. They use a microphone and tuning forks along with Vernier EasyData on their graphing calculator to...
Curated OER
Hunter Fred's Quest for Dinner
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
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Show Me the Money
Pupils investigate financial applications of mathematics in this mathematics lesson. They will investigate equations that represent a company’s income, expense, and profit functions and use those equations to identify break even points...
Texas Instruments
Let's Play Ball with Families of Graphs
Learners explore quadratic equations in this Algebra II lesson. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation of the parabola...
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Maximum, Minimum, Increasing, Decreasing
Learners practice with the StudyCard set on assessing real-world contexts dealing with the concepts of maximum, minimum, increasing and decreasing. They view a variety of quadratic functions and equations with their TI-83 Plus calculators.
Texas Instruments
Confectionery Delight
High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...
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NUMB3RS Activity: Riding the Waves
High schoolers use the TI-Navigator system to explore vector fields and make predictions. They also identify what a vector field is and that it represents the movement of water. Pupils try to determine where a bottle floating might have...
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Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. High schoolers compare the slope of the secant line through two points with the...
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Move My Way: A CBR Analysis of Rates of Change
Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, students use specific functions on their calculators to create graphs and...
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Logistic Growth
Through the exploration of population growth of a bacteria population, students learn about and observe bacteria population over a 20 hour period. Students graph the population growth using a scatter plot and discuss its logistic...
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TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, learners explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics and...
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Approaching Limits
With the assistance of their Ti-84/Ti-83 Plus calculators, students develop a foundation for the limiting process as well as estimate limits from graphs and tables of values. They view how a function behaves as the input approaches a...
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Average Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change
Pupils, with the assistance of their TI-84 Plus / TI-83 Plus calculators, distinguish meanings from right, left and symmetric difference quotients that include rate of change and graphical interpretations. They utilize symmetric...
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Seeing is Believing: Derivatives
Learn to solve functions by taking the derivatives. In this calculus lesson plan, students compare the graph of a derivative to that of the original function.
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Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
Texas Instruments
Listen and Line Up
High schoolers practice the derivative using an interactive activity. In this calculus lesson they explore the derivative by playing a game. Each student gets a turn at being the caller.
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Implicit Differentiation
Pupils explore the concept of derivatives. They use implicit differentiation to determine points on a graph where a tangent line is horizontal, vertical, or oblique. Finally, learners find the derivative of a polynomial by...
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Investigation the Derivatives of Some Common Functions
Students investigate the derivative of a function. In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions. The lesson promotes the idea of the derivative as a function...
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Differentiation
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems.
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Symbolic Math Guid App
High schoolers explore problem solving with the TI-89 or Voyage 200. In this secondary mathematics lesson, your learners will investigate the Symbolic Math Guide Application which assists students with problem solving strategies by...
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Shortest Path
High schoolers explore an application of definite integrals. They graph three functions that go through the same three points. Learners use the symbolic capacity of their calculators to find the shortest path through the three points and...
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Riemann Sums
Mathematicians use their calculators to investigate Riemann sums. Your learners will explore the relationship between the limit of two Riemann sums and the definite integral of the function.
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