 # Seventh Grade Math: Connected Mathematics Project 3, Year 2

## In the seventh grade, students embark on the second year of their mathematical journey, continuing to hone their mathematical skills and problem-solving techniques through daily investigations rooted in real-world applications.

Students use mathematics to represent, describe and model the world around them. Each class period allows students to strengthen their resolve to be effective and efficient problem-solvers, collaborate with classmates, and improve their ability to explain their solutions with solid mathematical reasoning. There is an emphasis on why questioning, rather than rote practice of a learned algorithm. During each unit there are frequent checks for understanding, and at the end of each unit students are asked to reflect on their learning.

The seventh-grade year consists of six themed units:

• Shapes and Designs: Students investigate the important role polygons play in nature, science, engineering, construction, crafts and arts by examining their properties and building models.
• Accentuate the Negative: In this unit on integers and rational numbers, students solidify their ability to work with negative and positive numbers.
• Stretching and Shrinking: This is the first unit that focuses on proportionality, the main target understanding of seventh grade. Using a fictional family, the Mug Wumps, students enlarge and reduce figures, determining what makes two figures mathematically similar.
• Comparing and Scaling: Continuing the focus on proportionality, students make the shift away from similar figures and make comparisons using ratios and proportions. Students look at retail markups and markdowns, compare prices to find the best deal, and make adjustments to food mixes to meet certain percentages.
• Moving Straight Ahead: This algebra unit focuses the students’ attention on linear relationships. Students learn the characteristics of a linear relationship and determine linearity by looking at an equation or at a table of values. They also learn how to solve multi-step linear equations.
• What Do You Expect? This is a popular unit that focuses on probability. Students make predictions, perform a variety of experiments to calculate experimental probability, then discover methods to determine theoretical probability. Students learn that they factor in probability when they make everyday decisions.

At the end of this year, the students are more confident, convincing mathematicians, and are ready to take on a robust algebra curriculum in their eighth-grade year.