 Montana Council of Teachers of Mathematics

# Middle School Lesson Plans

 Hand Span and Foot LengthStudents collect, organize, graph, and interpret data from measurements of hand-span and foot length. Understanding GraphsStudents will work with graphs and develop an understanding of several graph types. A Proportions Activity for Middle SchoolIn this activity, students will scale a recipe for trail mix using proportional reasoning. Proving the Pythagorean Theorem: A Geometry Activity for Middle SchoolIn this activity, students will prove the Pythagorean Theorem and its converse using a proof first published by President James Garfield. The activity is appropriate for grade 8 and covers CCSS-M standards 8.EE.1, 8.EE.7b, and 8.G.6. Distance and Time GraphsAnalyze and interpret distance vs. time graphs. Heat It Up Heat It Up - Reference Sheet This project entails having students work in small groups to build a solar box to be heated by the sun, tracked by a thermometer. The data is a great starting point for linear models. I have used this project as an opener to the 8th grade and algebra year. Typically, to get a decent set of data, it needs to be a sunny day, so you might be hard struck finding that in middle of the year. However, since it has been a relatively mild winter, you might find a time to try this! Writing Equations in Point-Slope Form As an alternate to point-slope form, the learner will use slope-intercept form to write the equation of a line. A Graphing Look at Rational Numbers Here is a new representation that uses the xy-coordinate graph to show the rational numbers. Since rational numbers are a/b where a and b are integers (with b  0), the graph just has dots at the points (x, y) where both x and y are integers. Then each graph point (x, y) is identified with the rational number y/x. The examples go on to show how to find rational number approximations to square roots that are irrational. by Jim Hirstein Middle Grades Problem Solving: Figurate Numbers Students will use patterns to develop recursive and explicit representations for triangular numbers. Extension: Square numbers, pentagonal, etc. Reading Data from Graphs - Student Sheet Reading Data from Graphs - Teacher Notes Lesson Objectives: Students will identify patterns and relationships between variables using information in a graph. Students will create a table from data in a coordinate graph. Students will compare patterns of change in a table and graph. Cylinder Problem The learner will build a family of cylinders and discover the relation between the dimensions of the generating rectangle and the resulting pair of cylinders. They will then order the cylinders by their volumes and draw conclusions about the relation between the cylinder’s dimensions and its volume. They will calculate the volumes of the family of cylinders with constant area and constant perimeter. Irrational Numbers - Wheel of Theodorus Art This lesson allows students to investigate irrational numbers and how they are different from rational numbers. Students create a product that displays irrational numbers. Book Page Numbers This is an investigation about the total number of pages in a book and the sum of all the page numbers in a book. Building With Toothpicks This is an investigation using toothpicks and patterning to explore perimeter. Graphing Calculator Investigation This is an activity using graphing calculators to investigate graphs of linear equations. Math Categories Game This is a Jeopardy-like game to review 7th grade concepts. Smarty's Deli Students will answer a constructed response question. Students will then use a rubric to grade the responses and revise their answers. Bagging the Concepts While Covering Your Books Using a brown paper bag to cover a student's math book provides a rich mathematical environment for a review of geometric terminology. Dr. Olivo's Hairy Eyeball Theory Students will use scatter plots to analyze data and look at the relationship in how long a student can hold their eyes open and the length of their hair. Is There Another Way? Students can quickly find prime factorization, GCF, LCM and simplify fractions using Upside Down Division. Maze for a Grade This activity is designed to have students compare their experimental probabililty to the theoretical probability. Mixing it Up with Conditional Probability Students will collect their own data on the color proportions of plain M&M’s and Skittles for this activity. Paper-Rock-Scissors Explore the relationship between experimental and theoretical probabilities by introducing the concept of a fair game. Missing Values Part 1 Missing Values Part 2 Native American Designs Project Native American Designs Powerpoint Monty's Dilemma Montana Math Problem Monty Carlo Birthday Problem Classifying Number Sets Around or All Over Car Speed Project The Perplexing King Arthur Problem

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