Math 7

Littleton Academy uses the Carnegie curriculum for the Math 7 course.

The link to the website is: https://www.carnegielearning.com/

Carnegie is comprised of two major components. The first is a consumable textbook. Students will use this to work through math problems, learn new material, and take any notes needed. The second major component is an online program called Mathia. This is an individualized, computer program that works side by side with the curriculum. Students will be working through the program all year, and be able to track their progress through the material.

The course is divided into five (5) modules, and they are each described in greater detail below. We will begin the school year in module 1.

Module 1: Thinking Proportionally

In this module, students build on their experiences with ratios and proportional relationships from grade 6. They will investigate special ratios to develop and connect formulas for the circumference and area of circles. Students will identify and describe proportional and non-proportional mathematical and real-world situations to understand the characteristics of proportional relationships. They will then use formal strategies to solve proportion and percent problems.

Module 2: Operating with Signed Numbers

In this module, students build on their experiences with signed numbers and absolute value in grade 6. They will use physical motion, number line models, and two-color counters to develop an understanding of the rules for operating with positive and negative numbers. Students will then solve real-world and mathematical problems involving positive and negative rational numbers.

Module 3: Reasoning Algebraically

In this module, students build on their experiences with algebraic expressions and one-step equations in grade 6. The expressions, equations, and inequalities they encounter will involve a wide range of rational numbers and require two steps rather than one. Students will write equations and inequalities for problem situations, interpret the meanings of quantities in the problems, create tables of values, graph problem situations, and make connections across the representations

Module 4: Analyzing Populations and Probabilities

In this module, students will learn the basics of probability and use the theoretical and experimental probability of simple and compound events to make predictions. They will use models and simulations to determine probabilities. Students will build on their experiences with measures of center, the five-number summary, plots of numerical data, and proportional reasoning to draw comparative inferences between two populations.

Module 5: Constructing and Measuring

In this module, students build on their experiences with angles and triangles and introduce the construction of familiar geometric objects. They will construct basic geometric objects with a compass and straightedge and later use these techniques to construct triangles. Students will use patty paper to investigate special types of angle relationships and then use those relationships to write and solve equations to determine unknown values in a figure. They will use their knowledge of polygons and polyhedra to create and describe cross-sections of right rectangular prisms and pyramids. Finally, students will extend their knowledge of volume and surface area to solve problems involving a variety of three-dimensional solids.

If you have any questions about the course material or anything else, please email me anytime! I'm always happy to setup a meeting face to face as well. email: bfletcher@lps.k12.co.us