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The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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Taylor Polynomial Examples
Students graph Taylor polynomials. In this calculus lesson, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
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Limit of a Sequence
Young scholars solve problems using limits in this calculus lesson plan. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
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Polar Graphs
Students graph polar graphs. In this calculus instructional activity, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
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Families of Functions
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
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Keep it Bottled Up: Linear Rates of Pressure Increase
Pupils explore linear functions in this lesson when they collect and analyze data as a chemical reaction proceeds. Learners record pressure versus time data and model the data as a linear function. They also examine the concept of slope...
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Slow Down - Speed Up
Pupils explore the concept of distance and time as they use a CBR to mimic distance v. time graphs. Learners walk towards and away from the monitor to create various distance v. time graphs, then discuss what motion creates certain graphs.
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Flipping Coins: Density as a Characteristic Property
Young scholars explore linear functions in a crime solving context. They collect and analyze data using linear equations, then interpret the slope and intercepts from a linear model.
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Ashes to Ashes: Using Evaporation Rate to Identify an Unknown Liquid
Learners explore the concept of evaporation rates in this evaporation rates lesson. They will try to identify the chemical that began a fire, perform an experiment where they use the evaporation rates to determine the unknown liquid, and...
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Multiplying Monomials
Students differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
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Perpendicular Segments in a Circle
High schoolers explore the concept of circles as they construct a circle using a program such as Cabri Jr. Learners construct a chord and a diameter that are perpendicular, then measure the bisected chord and notice that both sides of...
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Midpoint of a Segment
Learners revisit midpoint and segments by graphing on the TI or computer. This activity can be done with pencil and paper, but is more interactive if it is done on a TI-navigator.
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Investigating Equations of Lines
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
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Intersecting Lines and Vertical Angles
Pupils identify and define intersecting lines and vertical angles. They draw two intersecting lines and measure one pair of vertical angles. Learners will also move a line to change the angles of a figure and describe the changes in the...
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Measuring Angles in a Quadrilateral
High schoolers explore quadrilaterals in this geometry lesson. They will draw a quadrilateral, measure the angles, and find the sum of the measures of the interior angles using Cabri Jr. The interactive capabilities of Cabri Jr. allow...
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Investigating Segments in a Right Triangle
High schoolers explore the concept of right triangles as they construct a right triangle using Cabri Jr. Learners find the midpoint of the hypotenuse and construct a line from the midpoint to the vertex of the right angle. They then...
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Measuring Angles in a Triangle
High schoolers investigate the sum of the measures of the angles of a triangle. They draw a triangle and measure the interior angles. Using Cabri Jr., learners find the sum of the measures of the interior angles. The instructional...
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Cell Phone Range
Here is a 15 minute activity that can be used as review, a warm, or as a quick example of how to relate functions to the real world. Learners complete an application activity and draw conclusion about functions then discuss open and...
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Corresponding Parts of Similar Triangles
Here is a lesson that has learners take a look at corresponding parts of similar triangles, ratios of similarity, reductions and enlargements. They'll manipulate the scale factor (r) to observe the changes in similar triangles and then...
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Scale Factor Area Perimeter
Mathematicians compare triangles at different scales. In this geometry lesson, young scholars calculate the area and perimeter of triangles. They use the Ti to make observation of the change that takes place as the triangles are dilated.
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Ratios of Similar Figures
Students identify the ratios of different triangles. In this geometry instructional activity, students identify the similarity and differences of triangles. They use the navigator to move the sides of the triangle around.
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Trigonometry Ratios
High schoolers identify the different angles and sides of a triangle. In this geometry instructional activity, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
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Pythagorean Triples
Teach how to solve problems with right triangles. Students use the Pythagorean Theorem to identify missing sides and angles. Then, they will define and use the Pythagorean Triples to solve problems.
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Domain and Range 2
How do you identify the domain and range of the function? As learners find out it's as easy as creating a graph. They'll identify the domain and range of a relation from its graph, write symbolic expressions describing the relationship...