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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. Students 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, young scholars 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, high schoolers 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...
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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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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 instructional activity 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
Young scholars 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...
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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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The Region Between Two Curves
Learners find the area of a region between two curves. They integrate functions such as sin(x) and cos(x) on a given interval and find the area bounded by the two functions. Pupils use their TI-89 to aid them in finding the bounded...
Texas Instruments
Quartic Regions
Young scholars explore quartic functions in this calculus activity. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
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Quartic Inflection
Learners use their TI-89 calculator to find properties of the quartic polynomials. The lesson includes detailed instructions along with screen shots of the graphing calculator display.
Texas Instruments
Cylindrical Soda Can
Young scholars explore an application of differentiation in this calculus lesson. They investigate the ideal dimensions for a soda can and, using the symbolic capacity of the Ti-89, investigate the dimensions of the can which has the...
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Counting Chart
Elementary learners discover counting through a counting chart. In this math lesson, students identify numbers 1-100. They then point or recite their counting numbers.
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Fraction Decimal Challenge
Pupils explore the concept of fractions and decimals as they try to find as many fractions as possible that are equivalent to .25. Learners use their calculator to take screen shots and send them to the teacher via Ti-Navigator. They...
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Estimating with Rational Numbers
Students explore the concept of rounding. In this rounding lesson, students round fractions and mixed numbers. Students estimate the sums, differences, products, and quotients of rounded fractions and mixed numbers.
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Visual Fractions
Leanrers observe models of fractions and use a calculator to represent numbers as decimals, fractions, and percents. They participate in calculator activities to view different representations of the same number.
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Divisibility Rules Using Scientific Calculators
Young learners apply divisibility rules to determine if a number is a factor of another number. They discuss what numbers are factors of another number and identify patterns using divisibility rules.
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