MARCH 2020
As we conclude our study of linear relationships, we will begin to explore linear equations and linear systems. The students will write and solve linear equations in one variable. These include equations in which the variable occurs on both sides of the equal sign, and equations with no solution, exactly one solution, and infinitely many solutions. The students will gain an understanding that any one such equation is false, true for one value of the variable, or true for all values of the variable.
In addition, when given descriptions of two linear relationships, we will be able to interpret points on graphs. The students will categorize pairs of linear equations on the same axes, while noting that there are three categories: no intersection (lines distinct and parallel, no solution), exactly one intersection (lines not parallel, exactly one solution), and same line (infinitely many solutions).
As we continue to build on the Standards of Mathematical Practices, students will be expected to continue to use language to represent and interpret situations involving systems of linear equations, compare solutions of linear equations, and describe graphs of systems of linear equations. They will be using language for mathematical purposes such as critiquing, justifying, and generalizing.
I am so proud of how much the 7th graders have grown since the start of school year. Problem-based learning involves tasking a student with applying a problem-solving approach to challenges they may not have come across or solved before. When solving a problem, a student, or a group of students, critically use the knowledge they have collectively acquired to develop a solution to the problem, seeking and creating new knowledge as needed. This process of collaborative problem-solving helps to cultivate the skills that are critical for success both academically and in the real-world such as creativity, critical thinking, collaboration, and various communication abilities.
As always, feel free to email me with any questions or concerns. Thank you for your continued support in your child’s education!
Warmly,
Mrs. Conte
In addition, when given descriptions of two linear relationships, we will be able to interpret points on graphs. The students will categorize pairs of linear equations on the same axes, while noting that there are three categories: no intersection (lines distinct and parallel, no solution), exactly one intersection (lines not parallel, exactly one solution), and same line (infinitely many solutions).
As we continue to build on the Standards of Mathematical Practices, students will be expected to continue to use language to represent and interpret situations involving systems of linear equations, compare solutions of linear equations, and describe graphs of systems of linear equations. They will be using language for mathematical purposes such as critiquing, justifying, and generalizing.
I am so proud of how much the 7th graders have grown since the start of school year. Problem-based learning involves tasking a student with applying a problem-solving approach to challenges they may not have come across or solved before. When solving a problem, a student, or a group of students, critically use the knowledge they have collectively acquired to develop a solution to the problem, seeking and creating new knowledge as needed. This process of collaborative problem-solving helps to cultivate the skills that are critical for success both academically and in the real-world such as creativity, critical thinking, collaboration, and various communication abilities.
As always, feel free to email me with any questions or concerns. Thank you for your continued support in your child’s education!
Warmly,
Mrs. Conte