Grade/7… · Web viewInterpret products of rational numbers by describing real-world ... word problems leading ... subtraction when adding and subtracting rational numbers

7TH GRADE PACING GUIDEMATH INNOVATIONS UNIT 2: ACCENT ON ALGEBRA

October-NovemberStandards: 7.NS.1d Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. D) Apply properties of operations as strategies to add and subtract rational numbers: Associative Property of Addition, Commutative Property of Addition, Additive Identity Property of 0, Additive Inverses, Associative Property of Multiplication, Commutative Property of Multiplication, Multiplicative Identity Property of 1, Multiplicative Inverse, Distributive Property of Multiplication Over Addition. Properties are listed in the Common Core State Standards Glossary, Table 3, Properties of Operations.7.NS.2a Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. A) Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property leading to products such as (-1)(-1)=1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.7.NS.2c Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. C) Apply properties of operations as strategies to multiply and divide rational numbers. 7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”7.EE.4ab Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. A) Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? B) Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Standard/Target Section/Lesson # Days Formative AssessmentSection 1: Understanding and Using Variables

Mid Nov.

1.1: Variables 3 ACT #105, 10A, 5A, 7B, 67, 95; PARCC #9, 3, 21.2: Formulas 1 ACT #5B, 2B; PARCC #1, 2, 9, 3

7.NS.1d Knowledge Target: Identify properties of addition and subtraction when adding and subtracting rational numbers.7.NS.2c Knowledge Target: Identify how properties of operations can be used to multiply and divide rational numbers (such as distributive property, multiplicative inverse property, multiplicative identity, commutative property for multiplication, associative property for multiplication, etc.).

1.3: Mathematical Properties 2 PARCC #11, 5

Lewis County Middle School

Standard/Target Section/Lesson # Days Formative AssessmentReasoning Target: Apply properties of operations as strategies to multiply and divide rational numbers.7.EE.1 Reasoning Target: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.7.NS.2a Reasoning Target: Apply the properties of operations, particularly distributive property, to multiply rational numbers.7.EE.1 Knowledge Target: Combine like terms with rational coefficients. Knowledge Target: Factor and expand linear expressions with rational coefficients using the distributive property.7.EE.2 Knowledge Target: Write equivalent expressions with fractions, decimals, percents, and integers. Reasoning Target: Rewrite an expression in an equivalent form in order to provide insight about how quantities are related in a problem context.7.EE.4ab Knowledge Target: Fluently solve equations of the form px + q = r and p(x + q) = r with speed and accuracy.

1.4: The Distributive Property*Need to add factoring.

3 ACT #13A; PARCC #2, 13, 15, 4, 11, 2A

Study Guide 1Percent Proficiency: Quiz 1

Section 2: Solving Equations End of Nov.

7.EE.4ab Reasoning Target: Use variables and construct equations to represent quantities of the form px + q = r and p(x + q) = r from real-world and mathematical problems. Reasoning Target: Compare an algebraic solution to an arithmetic solution by identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? This can be answered algebraically by using only the formula for perimeter (P = 2l + 2w) to isolate w or by finding an arithmetic solution by substituting values into the formula.

2.1: Undoing Operations (optional)

2.2: Solving Equations by Undoing 1 ACT #17A, 557.NS.1d Reasoning Target: Apply properties of operations as strategies to add and subtract rational numbers.7.EE.4ab Reasoning Target: Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers.

2.3: Solving Equations Using Balance 2 ACT #17C, 1C, 19B, 16B, 4B, 16A

7.EE.4ab Knowledge Target: Identify the sequence of 2.4: Solving More Equations 2 ACT #3, 11B, 4, 18, 62, 65, 58, 103, 100, 101, 2; PARCC 5,


Standard/Target Section/Lesson # Days Formative Assessmentoperations used to solve an algebraic equation of the form px + q = r and p(x + q) = r. Knowledge Target: Graph the solution set of the inequality of the form px + q >r or px + q < r, where p, q, and r are specific rational numbers. Reasoning Target: Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Reasoning Target: Interpret the solution set of an inequality in the context of the problem.

*Add solving inequalities and word problems with inequalities.

10, 3, 7, 4

Study Guide 1Percent Proficiency: Quiz 1

Section 3: Representing Linear Patterns Using Equations, Graphs and Tables

End of Dec.

3.1: Linear Patterns 33.2: Increasing and Decreasing Relationships

2

3.3: Explicit Rules 33.4: Linking Graphs, Tables and Equations 2 ACT #52, 5C, 3A, 2A, 3C; PARCC 5, 15, 16, 5AStudy Guide 1

Percent Proficiency: Quiz 1Study Guide 1

Percent Proficiency: Unit Exam 1
















Documents

Grade/7… · Web viewInterpret products of rational numbers by describing real-world ... word problems leading ... subtraction when adding and subtracting rational numbers