What is a rational number? When are numbers written in scientific notation? Prerequisite/Extension SOL 5.2a 5.18c 6.2a 6.3a 7.1b 7.3a A.1 AII.1 1 8.4 Order of Operations Key Vocabulary – The student will use problem solving, mathematical The student will apply the order of PEMDAS communication, mathematical reasoning, operations to evaluate algebraic connections, and representations to expressions for given replacement DOE Lesson values of the variables. Substitute numbers for variables in algebraic expressions and simplify the expressions by using Essential Question(s) the order of operations. Exponents are positive and What is the role of the order of limited to whole numbers less than 4. Square roots Chapter 1 Lesson 1 operations when evaluating are limited to perfect squares. Chapter 2 Lesson 7 expressions? Apply the order of operations to evaluate formulas. Resources/Lessons Problems will be limited to positive exponents. Prerequisite/Extension SOL Square roots may be included in the expressions 5.7 but limited to perfect squares. 6.8 7.13a 3 8.15a,c Equations Key Vocabulary – The student will use problem solving, mathematical Equation The student will communication, mathematical reasoning, Linear Equation a) solve multistep linear equations in connections, and representations to one variable with the variable on DOE Lesson Plans Solve two- to four-step linear equations in one one and two sides of the equation; variable using concrete materials, pictorial c) identify properties of operations representations, and paper and pencil illustrating used to solve an equation. the steps performed. Essential Question(s) Identify properties of operations used to solve an Chapter 1 Lessons 5 7 – How does the solution to an equation equation from among: Chapter 6 Lessons 1 4 – differ from the solution to an inequality?
What is a rational number? When are numbers written in scientific notation? Prerequisite/Extension SOL 5.2a 5.18c 6.2a 6.3a 7.1b 7.3a A.1 AII.1 1 8.4 – Order of Operations The student will apply the order of operations to evaluate algebraic expressions for given replacement values of the variables. Essential Question(s) What is the role of the order of operations when evaluating expressions? Prerequisite/Extension SOL 5.7 6.8 7.13a The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to Substitute numbers for variables in algebraic expressions and simplify the expressions by using the order of operations. Exponents are positive and limited to whole numbers less than 4. Square roots are limited to perfect squares. Apply the order of operations to evaluate formulas. Problems will be limited to positive exponents. Square roots may be included in the expressions but limited to perfect squares. Key Vocabulary PEMDAS DOE Lesson Chapter 1 Lesson 1 Chapter 2 Lesson 7 Resources/Lessons 3 8.15a,c – Equations The student will a) solve multistep linear equations in one variable with the variable on one and two sides of the equation; c) identify properties of operations used to solve an equation. Essential Question(s) How does the solution to an equation differ from the solution to an inequality? The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to Solve two- to four-step linear equations in one variable using concrete materials, pictorial representations, and paper and pencil illustrating the steps performed. Identify properties of operations used to solve an equation from among: Key Vocabulary Equation Linear Equation DOE Lesson Plans Chapter 1 Lessons 5 – 7 Chapter 6 Lessons 1 – 4
2014-2015_algebra_concepts_8_pacing_guide.docx