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### Inversions

3-5, 6-8

Using inversions — words that can be read in more than one way — as the context, students will be introduced to various types of symmetry. After exploring the symmetries that exist with letters of the alphabet, they will make inversions of their own name.

### Too Big or Too Small?

6-8

In this lesson, students develop number sense through a series of three hands-on activities. Students explore the following concepts: the magnitude of a million, fractions between 0 and 1, and the effect of decimal operations.### Maya Constructions

6-8, 9-12

In this lesson, students learn to use a compass and a straight edge to
construct rectangles of leg ratios 1:1; 1:√2; 1:√3; 1:2; and 1:√5. The
lesson culminates with the class constructing a full size façade of a
house using the proportions of the Ancient Maya.### Making Your First Million

3-5, 6-8

In this activity for grades 4-6, students attempt to identify the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition until a million is reached. Additionally, they use critical thinking to analyze situations and to identify mathematical patterns that will enable them to develop the concept of very large numbers.### Mat Plans

6-8

Students explore drawing a mat plan when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the mat plan.### Math Vocabulary Bingo

3-5, 6-8

This lesson provides students an opportunity to assess their understanding of mathematical vocabulary as they relate to key concepts from the five content areas. Through the use of a familiar game format, Bingo, students will identify numbers 0‑75 that correspond to mathematical descriptions from math vocabulary clue cards.### Mathematics as Communication

6-8

This grades 6-8 activity focuses on interpreting and creating graphs that are functions of time. The first two activity sheets focus on graphs of time vs speed. The third and fourth activity sheets look at how many times an event occurred in a specific amount of time. These activity sheets are appropriate for students who have not taken algebra yet. This lesson plan was adapted from an article by Marian Moody which appeared in the December 1990 issue of the *Mathematics Teacher.*

### About Our Class

6-8

In the following grades 6-8 lesson, students participate in activities in which they focus on the uses of numbers. The activities explore how students use numbers in school and every day settings as a way for students and the teacher to get to know each other at the beginning of the school year.### Address Number Combinations

6-8

This lesson focuses on forming numbers which meet specific requirements. Careful reading of information and understanding of mathematical language are important to finding appropriate solutions. Using the problem-solving strategies of looking for patterns and establishing an organized list will aid students in finding all the possible solution sets.### Adjacent Circles

6-8

In this grades 6‑8 lesson, students are encouraged to discover all of the combinations for a given situation. They use problem-solving skills (including elimination and collection of organized data) to draw conclusions. The use of higher-level thinking skills (synthesis, analysis, and evaluations) is the overall goal.