8th Grade Lesson Core Connections 3 MS-CCRS Taught Preparation for 8.EE.C.7a Solving linear equations and determining if they have one solution, infinitely many solutions, or no solutions. 2.1.1 Preparation for 8.EE.C.7b Focus for Lesson This serves as an introductory lesson to algebra tiles and their representation of expressions. (2-4) Chapter 2 MS-CCRS Specific Problem(s) None Solving linear equations and determining if they have one solution, infinitely many solutions, or no solutions. 2.1.2 Word problems to solve linear equations. Combining like terms should be the primary focus in the lesson. (2-12 and 2-13) None 2.1.3 Preparation for 8.EE.C.7b Solving linear equations with rational coefficients, including equations whose solutions require the use of distributive property and combining like terms. College Preparatory Mathematics 7.EE.A.1 Add, subtract, factor, and expand linear expressions with rational coefficients. Solving linear equations with rational coefficients, including equations whose solutions require the use of distributive property and combining like terms. Solving linear equations and determining if they have one solution, infinitely many solutions, or no solutions. 7.EE.A.1 7.EE.B.4a Preparation for 8.EE.C.7b Preparation for 8.EE.C.7a Pre-requisite standards and skills Add, subtract, factor, and expand linear expressions with rational coefficients. Solving linear equations with rational coefficients, including equations whose solutions require the use of distributive property and combining like terms. Preparation for 8.EE.C.7a Optional Supplements and Adjustments 7.EE.B.4a Word problems to solve linear equations. Understanding multiple meanings of the “-“ sign, emphasis on opposite and negative. It is important for students to see connections between building and writing the expressions. (2-24, 2-25, and 2-26) None 7.EE.A.1 Add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.B.4a Word problems to solve linear equations. Desoto County Schools 8th Grade Lesson Core Connections 3 MS-CCRS Taught Preparation for 8.EE.C.7a Solving linear equations and determining if they have one solution, infinitely many solutions, or no solutions. 2.1.4 Preparation for 8.EE.C.7b Solving linear equations with rational coefficients, including equations whose solutions require the use of distributive property and combining like terms. Preparation for 8.EE.C.7a Solving linear equations and determining if they have one solution, infinitely many solutions, or no solutions. 2.1.5 Preparation for 8.EE.C.7b Solving linear equations with rational coefficients, including equations whose solutions require the use of distributive property and combining like terms. Preparation for 8.EE.C.7a Solving linear equations and determining if they have one solution, infinitely many solutions, or no solutions. 2.1.6 Preparation for 8.EE.C.7b Solving linear equations with rational coefficients, including equations whose solutions require the use of distributive property and combining like terms. College Preparatory Mathematics Focus for Lesson Chapter 2 MS-CCRS Specific Problem(s) Understanding how to create zero pairs on the expression mat and equivalent expressions. Make sure to show work by circling zero pairs and arrows to show movement, (see examples in teacher’s notes) (2-38 and 2-39) None Emphasis is on legal moves with algebra tiles, specifically, simplifying by combining like terms and through balancing. Students use these moves to compare two expressions. This will lead into multi-step equations down the road. (2-48 and 2-49) None More practice with the legal moves. Focusing on comparing two expressions. (2-57) None Optional Supplements and Adjustments Pre-requisite standards and skills 7.EE.A.1 Add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.B.4a Word problems to solve linear equations. 7.EE.A.1 Add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.B.4a Word problems to solve linear equations. 7.EE.A.1 Add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.B.4a Word problems to solve linear equations. Desoto County Schools 8th Grade Lesson Core Connections 3 MS-CCRS Taught Preparation for 8.EE.C.7a Solving linear equations and determining if they have one solution, infinitely many solutions, or no solutions. 2.1.7 Focus is to relate the algebra tile modeling with how to write work algebraically. (2-66) MS-CCRS Specific Problem(s) Optional Supplements and Adjustments None Add, subtract, factor, and expand linear expressions with rational coefficients. Solving linear equations with rational coefficients, including equations whose solutions require the use of distributive property and combining like terms. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successfully transforming the given equation in to simpler forms, until an equivalent equation in the form of x = a, a = a, or a = b results (where a and b are different numbers). 8.EE.C.7b Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. College Preparatory Mathematics Pre-requisite standards and skills 7.EE.A.1 Preparation for 8.EE.C.7b 8.EE.C.7a 2.1.8 Focus for Lesson Chapter 2 7.EE.B.4a Word problems to solve linear equations. Solving multi-step equations is being formed in this lesson. Students should end the lesson knowing how to build, simplify, show work for, and solve an equation. (2-75) See sample of showing work in attached supplement. None Supplement: Berg - Teacher notes on how to model an equation with algebra tiles and algebraically. – see pictures we took. 7.EE.A.1 Add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.B.4a Word problems to solve linear equations. Desoto County Schools 8th Grade Lesson Core Connections 3 MS-CCRS Taught 8.EE.C.7a Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successfully transforming the given equation in to simpler forms, until an equivalent equation in the form of x = a, a = a, or a = b results (where a and b are different numbers). 2.1.9 8.EE.C.7b Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. College Preparatory Mathematics Focus for Lesson This lesson introduces “all numbers” and “no solution” equations. This will come back up for further practice in chapter 3 as well. Focus for this lesson should be on understanding when there are no solutions or many solutions. (2-81 and 2-82) Chapter 2 MS-CCRS Specific Problem(s) None Optional Supplements and Adjustments Pre-requisite standards and skills 7.EE.A.1 Add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.B.4a Word problems to solve linear equations. Desoto County Schools 8th Grade Core Connections 3 Chapter 2 Assessment Understanding According to PARCC (Section Quiz and Chapter Assessment) MS-CCRS EOY or PBA Math Practice PBA 3 and 6 8.D.2 – Solve multi-step contextual problems with a degree of difficulty appropriate to Grade 8, requiring application of knowledge articulated in 7.EE. Task may have scaffolding if necessary in order to yield a degree of difficulty appropriate to Grade 8. 8.EE.C.7b Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. 6 and 7 Chapter Mastery Now Calculator Solving multi-step equations. Most equations are completed with whole numbers. Future Number of solutions to an equation is emphasized in chapter 3. Tasks do not have a context Now PBA EOY and PBA College Preparatory Mathematics Calculator or No Calculator 8.C.2 – Given an equation or system of equations, present the solution steps as a logical argument that concludes with the set of solutions (if any). None 8.EE.C.7a Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successfully transforming the given equation in to simpler forms, until an equivalent equation in the form of x = a, a = a, or a = b results (where a and b are different numbers). Clarifications 8.C.2 – Given an equation or system of equations, present the solution steps as a logical argument that concludes with the set of solutions (if any). None 8.D.2 – Solve multi-step contextual problems with a degree of difficulty appropriate to Grade 8, requiring application of knowledge articulated in 7.EE. Task may have scaffolding if necessary in order to yield a degree of difficulty appropriate to Grade 8. No Calculator Modeling, writing, and solving equations with integers coefficients. Future Emphasis on distributive property along with rational coefficients comes in chapter 3. Desoto County Schools