Vertical Alignment: Vertical curriculum alignment provides two pieces of information: A description of prior learning that should support the learning of the concepts in this unit A description of how the concepts studied in this unit will support the learning of additional mathematics Key Advances from Previous Grades: In grades K-5, students have been writing numerical equations and simple equations involving one operation with a variable. In 6, they start the systematic study of equations and inequalities, as well as methods to solve them. Grade 6 students also have used equations in two variables to express relationships between two quantities that vary together. In grade 7, students build on earlier work with order of operations, and start to simplify general linear expressions with rational coefficients. Also in grade 7, students must understand the rules for multiplying negative numbers. By grade 7, students begin to realize that integers, and positive and negative fractions and decimals all belong to a single system of rational numbers. They rely more strongly on their ability to use mental computation and estimation to assess the reasonableness of their solutions. Additional Mathematics: Students will use addition, subtraction, multiplication, and division of rational numbers: in grade 8 when expanding their knowledge in rational to irrational numbers in 8 when they include the properties of radicals and integer exponents, with special attention to 0 as an exponent in grade 8 as they understand the connections between proportional relationships, lines, and linear equations in grade 8 as they move towards an understanding of functions in algebra and geometry when they expand into real numbers and beyond Possible Organization of Unit Standards: This table identifies additional grade-level standards within a given cluster that support the overarching unit standards from within the same cluster. The table also provides instructional connections to grade-level standards from outside the cluster. Supporting Standards Instructional Connections outside the Overarching Unit Standards within the Cluster Cluster 7.EE.B.3: Solve multi-step real-life and N/A 7.EE.A.1: Apply properties of operations as mathematical problems posed with positive strategies to add, subtract, factor, and and negative rational numbers in any form expand linear expressions with rational (whole numbers, fractions, and decimals), coefficients. using tools strategically; apply properties of operations to calculate with numbers in any 7.EE.A.2: Understand that rewriting an form; convert between forms as appropriate; expression in different forms in a problem
Vertical Alignment: Vertical curriculum alignment provides two pieces of information: A description of prior learning that should support the learning of the concepts in this unit A description of how the concepts studied in this unit will support the learning of additional mathematics Key Advances from Previous Grades: In grades K-5, students have been writing numerical equations and simple equations involving one operation with a variable. In 6, they start the systematic study of equations and inequalities, as well as methods to solve them. Grade 6 students also have used equations in two variables to express relationships between two quantities that vary together. In grade 7, students build on earlier work with order of operations, and start to simplify general linear expressions with rational coefficients. Also in grade 7, students must understand the rules for multiplying negative numbers. By grade 7, students begin to realize that integers, and positive and negative fractions and decimals all belong to a single system of rational numbers. They rely more strongly on their ability to use mental computation and estimation to assess the reasonableness of their solutions. Additional Mathematics: Students will use addition, subtraction, multiplication, and division of rational numbers: in grade 8 when expanding their knowledge in rational to irrational numbers in 8 when they include the properties of radicals and integer exponents, with special attention to 0 as an exponent in grade 8 as they understand the connections between proportional relationships, lines, and linear equations in grade 8 as they move towards an understanding of functions in algebra and geometry when they expand into real numbers and beyond Possible Organization of Unit Standards: This table identifies additional grade-level standards within a given cluster that support the overarching unit standards from within the same cluster. The table also provides instructional connections to grade-level standards from outside the cluster. Overarching Unit Standards Supporting Standards within the Cluster Instructional Connections outside the Cluster 7.EE.B.3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically; apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; N/A 7.EE.A.1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.A.2: Understand that rewriting an expression in different forms in a problem
Unit_7_EE_B_3_4_Problems_with_Expressions_Equations_Final.docx