Students learn to locate the real number solution of a linear equation using tables. They also learn to locate the real number solution of a linear equation using graphical method on a Cartesian (x-y) graph.
Students learn to associate the slope of a straight line with a constant rate of change. They also learn to calculate the rate of change from data points on a line, using the correct units. Students also learn to read from a linear graph: the rate of change, the scale of the axes, and the correct units.
In these questions, students will find the linear equation of best fit for a set of data and interpret the correlation coefficient. Questions are multiple-choice and true/false; solutions are provided.
These questions test knowledge of the definition of a logarithm, domain and range of logarithmic functions, and properties of logarithms. Questions are true/false and multiple-choice; solutions are provided.
Students are introduced to logistic growth curves using a graphing calculator. Lab data includes the number of bacteria over a 20-hour period. The activity numerically approximates the derivative and uses regression to find a curve fitting the data.
Navigator Activity: This is a review of the right triangle in the coordinate plane. Given two lines (2 really nice ones) the students write the equation of the 3rd line to create a right triangle. They find the vertices of the triangle and use the distance formula to find the length of each side. Using these lengths they find the measures of the two acute angles using the trig functions.
Students can use M&M's to model a decay equation - exponential equations.
In this activity, students investigate constructing arrangements of different number of manipulatives into equal groups. They learn to use mathematical language, identify patterns with numbers, recognize the commutative property, and transfer the arrangements made with manipulatives to grid paper.
This Computer Algebra System (CAS) activity encourages students to investigate addition, subtraction, and multiplication of matrices. They find the inverse of a matrix. Students also solve a set of linear equations by using matrices.
In this activity, students learn to create and edit a matrix using the matrix editor. They use various features in the calculator to perform elementary row operations and convert a matrix to its reduced row echelon form. Finally they verify important results and solve a variety of problems in matrix theory and linear algebra.
This StudyCard set is a teaching activity that uses real-world contexts to assist students in understanding the concepts of maximum, minimum, increasing, and decreasing.
In this activity, students compare their height with the average height of students in the class. They create histograms to analyze the data, and construct box plots to summarize the height statistics.
In this activity, students learn about the sum of the angles in a triangle. They understand triangles and their interior angles.
This activity is designed to assess the comprehension of concepts related to molality and molarity.
This activity is designed to assess the comprehension of concepts related to motion in two dimensions and projectile motion.
In this activity, students use the motion detector to collect position data and study the relationship between position and velocity. They explore the relationship between functions and their derivatives. Students learn to connect mathematical relationships to real-world phenomena.
Based off of the hit television show NUMB3RS, this lesson introduces students to the concept of approximating irrational numbers using a continued fraction. For most exercises in the lesson, the values which are to be substituted into the continued fraction are given, and students are to explore how the approximation gets closer to the actual value of the irrational number. Then, students use their knowledge of continued fractions to explore the placement of holes in a certain type of flute.
Based off of the hit television show NUMB3RS, this lesson attempts to explain the betting system at horse tracks by having students vie for parcels of land on their calculators. Because the land boundaries are unknown until the finale of the lesson, students are dealing with a model of geometric probability, in which the value of each parcel of land will depend on various factors (including how many students "randomly" landed on it).
Based off of the hit television show NUMB3RS, this lesson uses sabermetrics (study of statistics of baseball) to try to determine when certain players had "change points," or times when their performance drastically changed. This is done by using the Cumulative Home Run statistic, which students then graph and observe.
Charlie uses parametric equations of projectile motion to figure out where to look for a fired bullet in the "Convergence" episode of the show NUMB3RS. The lesson plan includes a student page complete with keystroke instructions for the TI-83 graphing calculator.