Introductory lesson to using data to create a linear growth graph and model by building "fake" ice cream cones. Templates are included for the cones and scoops. Instructions for the teacher are also included. Contact me at hrudolph@orangecsd.org for details or clarification. Students will be introduced to appropriate vocabulary such as initial amount, slope, intercept, growth, increasing, model, trend, linear function or linear equation. Lamination is helpful for re-using the materials! A
Students will literally take a bite out of a pretzel (or Twizzler) and predict the pattern if they would continue to eat it. A decreasing slope is discovered, and a model can be written to portray the situation. Students can predict how many bites it will take for the pretzel (or their fingers!) to be gone. Appropriate vocabulary should be introduced, including slope, intercept, trend, decreasing, and linear.
This table provides 8 different methods of solving Linear Systems for an Algebra 2 class. It includes Graphing, Substitution, Addition/Subtraction, Multiplication/Elimination, Cramer's Rule, Inverse Matrices, Gaussian and Gauss-Jordan Elimination. Examples are provided, along with some instruction.
The first 3 pages are the FOLDABLE, interactive notebook page. The remaining pages simply give the teacher directions as to how to put together the foldable. Staple the two papers together along the left edge. Cut across horizontally, dividing the page into fourths. When you fold, it will reveal the third page with color coded examples of each step in the flow chart!
This short activity can be used to discuss trends, patterns, growth. The term exponential may be used if appropriate. Students can multiply the numbers themselves, and discuss what is happening with the data. When the points are plotted on the graph grid, students will recognize a non-linear graph. An exponential model may be used to describe this situation. Short videos may be shown to introduce this activity and to grab students' attention! Articles abound about this worldwide phenomena.
For Algebra 2 and Precalculus students, this mini tutorial will walk them through two methods of finding determinants of 3x3 matrices. (Assumes they already know 2x2)
Students learn the conic sections by studying transformations. The "traditional" form with finding the focus and directrix can be confusing. I offer the 4p method as an alternative for students to use when the multiplier is on the NON squared variable...
This activity can be used with Slope Activities 1 and 2. Students are given geometry tiles (regular polygons) made of plastic in the shapes of squares, rhombus, equilateral triangle, hexagon, etc. Each student builds a row of the shapes, recording the perimeter with each additional polygon. 1 unit is assumed to be the length of each side. Patterns will emerge, so that students can readily predict the next total perimeter. This example can be used to help students build an understanding of g