Solving Equations: In 8th grade math students have been working flexibly between modeling both proportional and nonproportional linear relationships using tables, graphs and equations. They can identify, represent, and interpret linear relationships. Students are beginning to develop skill in areas that are traditionally known as algebra. Students are exploring properties of equality and solving for an unknown. Equality is maintained by adding, subtracting, multiplying, or dividing by the same quantity on each side of the equation.
The focus in 7th grade math has been on understanding and developing systematic ways to add, subtract, multiply and divide positive and negative numbers. Working with integers has awarded us with the opportunity to review operations with whole numbers. Students have spent time learning the standard algorithm for adding, subtracting, multiplying and dividing.
Understanding Similarity: In 7th grade challenge students are looking to find relationships among figures that have been stretched or shrunk. They are analyzing the resulting changes in properties of the figures, such as area and perimeter. Similarity will also be used to find the heights of real objects. The this work is the beginning or proportional reasoning. By the end of this unit students will know how to create similar figures, how to determine whether or not two figures are similar, and how to predict the ratios of the lengths and area of two similar figures. In addition students have begun with with algebraic expressions, simplifying expression by combining like terms and using the distributive property. This work will lead them to solving simple equations.