Math 7 - Standard Correlation – Planning Guide Quarter 1 UNIT 1: Algebra and Functions Chapter 1: Introduction to Algebra and Functions Chapter 1 Readiness Quiz Chapter 1 Family Letter Lesson 1-1: A Plan for Problem Solving (pg. 25) Lesson 1-2: Powers and Exponents (pg. 30) Lesson 1-3: Squares and Square Roots (pg. 34) Lesson 1-4: Order of Operations (pg. 38) Lesson 1-5: Problem Solving Investigation: Guess and Check (pg. 42) Lesson 1-6: Algebra: Variables and Expressions (pg. 44) Last Edit 23 August 2011 DoDEA Standard Correlation DoDEA Process Standards 7.M.1.g: use order of operations and properties to simplify numerical expressions involving integers, fractions, decimals and exponents; 7.M.1.e: calculate and find approximations of square roots; 7.M.1.g: use order of operations and properties to simplify numerical expressions involving integers, fractions, decimals and exponents; DoDEA Process Standards 7.M.1.h: simplify numerical expressions and solve real-life problems using the set of integers; 7.M.2.d: use variables and operations to write an expression, equation, or inequality that represents a verbal description; 7.M.2.h: identify and explain the use of variables; Additional Resources Related to the DoDEA Standards 7.M.1.e: Estimating Non-Perfect Squares Battleship Game Identify Perfect Squares Estimate Square Roots practice Learning about Square Roots Estimating Square Roots Notes Looking for Square Roots Square Roots Grow Healthy Numbers 7.M.1.g: Exploring the Order of Operations Rags to Riches Game Order of operations practice Order of Operations Variable Substitution Order of operations practice Order me a Simple Expression Operations Extra! Order in the Expression! Solving with Order! Lesson Plan and Games/Activities for Order of Operations Order of Operations Order of Operations Review and Practice Solving Expressions with Order of Operations Math 7 - Standard Correlation – Planning Guide Lesson 1-7: Algebra: Equations (pg. 49) 7.M.2.d: use variables and operations to write an expression, equation, or inequality that represents a verbal description; 7.M.2.e: model and solve equations using inverse operations; Lesson 1-8: 7.M.2.c: generate equivalent forms of algebraic Algebra: Properties expressions by combining like terms; 7.M.1.g: use order of operations and properties to (pg. 53) simplify numerical expressions involving integers, fractions, decimals and exponents; 7.M.2.c: generate equivalent forms of algebraic expressions by combining like terms; Lesson 1-9: 7.M.2.a: represent and analyze relations and Algebra: Arithmetic Sequences functions with tables, graphs, words, algebraic (pg. 57) expressions, and equations; 7.M.2.g: analyze functional relationships to explain how a change in one quantity results in a change in the other; Extend 1-9: 7.M.2.g: analyze functional relationships to Algebra Lab: Exploring explain how a change in one quantity results in a change in the other; Sequences (pg. 62) Lesson 1-10: 7.M.2.a: represent and analyze relations and Algebra: Equations and functions with tables, graphs, words, algebraic Functions expressions, and equations; (pg. 63) 7.M.2.g: analyze functional relationships to explain how a change in one quantity results in a change in the other; Extend 1-10: 7.M.2.a: represent and analyze relations and Graphing Calculator Lab: functions with tables, graphs, words, algebraic Functions and Tables expressions, and equations; (pg. 68) 7.M.2.g: analyze functional relationships to explain how a change in one quantity results in a change in the other; Last Edit 23 August 2011 7.M.1.h: Examples of Real World Integers Real World Integers project Directions Integers in our World Real World Integer Use Less than Nothing What’s left in The Bucket? Go Negative That Quiz-Integers Adding and Subtracting Integers 7.M.2.a: “Can You See it in Nature? Patterns and Function Activity Pack” Math Activity 1: Fish Tails (pg. 11) Math Activity 2: Baby Snakes (pg. 12-13) Math Activity 3: Picnic Tables (pg. 14-15) Math Activity 4: Flower Petals (pg. 16-17) Math Activity 5: Growing Crystals (pg. 18-20) Practice Quiz page 21 7.M.2.c: Collecting Like Terms Interactive Notes Evaluating Variable Expressions Practice Simplifying Variable Expressions Practice Zero Out Game X-pressions Simplifying Expressions: “Steal the Bacon” Game Combining Like Terms Game 7.M.2.d: Practice Translating words to algebraic expressions Examples – translating words into algebraic expressions Step by Step – translating words into algebraic expressions Solving the Unknown Math 7 - Standard Correlation – Planning Guide 7.M.2.e: Algebra Match One and Two Step Equations Game: Sequence Two Step Equation Concentration One and Two-Step Equation Flashcards Interactive Notes: solving Two-Step Equations Two-Step Power-point Two-Step Power-point NOTE SHEET Video Notes on two step equations Video Notes on writing two-step equations 7.M.2.h: Mixed up Formulas Chapter 2: Integers DoDEA Standard Correlation Additional Resources Related to the DoDEA Standards Chapter 2 Readiness Quiz Chapter 2 Family Letter Lesson 2-1: Integers and Absolute Value (pg. 80) 7.M.1.f: explain the relationship, meaning, and effects of arithmetic operations with the set of integers; 7.M.1.g: use order of operations and properties to simplify numerical expressions involving integers, fractions, decimals and exponents; 7.M.1.h: simplify numerical expressions and solve real-life problems using the set of integers; Lesson 2-2: Comparing and Ordering Integers (pg. 84) 7.M.1.a: use, interpret, and compare numbers in several equivalent forms such as integers, fractions, decimals, and percents; 7.M.2.f: represent linear equations and inequalities by plotting points; Lesson 2-3: The Coordinate Plane (pg. 88) 7.M.3.e: use coordinate geometry to represent special geometric shapes, such as regular polygons and polygons with pairs of parallel or perpendicular sides; Last Edit 23 August 2011 7.M.1.a: Learn Alberta Lesson: Changing Fractions and Decimals Game Matching Fractions and Decimals Game Equivalent Fraction Match Comparing Decimals and Percents (notes, game, quiz, worksheet) Comparing Fractions and Percents (notes, game, quiz worksheet) Comparing Fractions and Decimals (notes, game, quiz, worksheet) Comparing Fractions, Decimals AND Percents (notes, game, quiz worksheet) Order Fractions and Decimals on a Number Line Should I use a fraction, decimal, or percent? Fraction, Decimal, Percent War Game Fractions to Decimals Fraction, Decimal, Percent BINGO 100 Grid to Represent Fractions, Decimals, and Percents Math 7 - Standard Correlation – Planning Guide Explore 2-4: Algebra Lab: Adding Integers (pg. 93) Lesson 2-4: Adding Integers (pg. 95) Explore 2-5: Algebra Lab: Subtracting Integers (pg. 101) Lesson 2-5: Subtracting Integers (pg. 103) Lesson 2-6: Multiplying Integers (pg. 107) Lesson 2-7: Problem Solving Investigation: Look for a Pattern (pg. 112) Lesson 2-8: Dividing Integers (pg. 114) Last Edit 23 August 2011 7.M.1.f: explain the relationship, meaning, and effects of arithmetic operations with the set of integers; 7.M.1.h: simplify numerical expressions and solve real-life problems using the set of integers; 7.M.1.f: explain the relationship, meaning, and effects of arithmetic operations with the set of integers; 7.M.1.h: simplify numerical expressions and solve real-life problems using the set of integers; 7.M.1.f: explain the relationship, meaning, and effects of arithmetic operations with the set of integers; 7.M.1.h: simplify numerical expressions and solve real-life problems using the set of integers; 7.M.1.f: explain the relationship, meaning, and effects of arithmetic operations with the set of integers; 7.M.1.h: simplify numerical expressions and solve real-life problems using the set of integers; 7.M.1.f: explain the relationship, meaning, and effects of arithmetic operations with the set of integers; 7.M.1.h: simplify numerical expressions and solve real-life problems using the set of integers; DoDEA Process Standards 7.M.1.f: explain the relationship, meaning, and effects of arithmetic operations with the set of integers; 7.M.1.h: simplify numerical expressions and solve real-life problems using the set of integers; Clearance Sale Activity Baseball Stats Activity 7.M.1.f: Integer Picture Charades Integer War Mixed Integer Addition (beat the computer) Adding and Subtracting Integers practice Multiplying Integers practice Dividing Integers practice Integer Lesson/Activities and Games Combine Integers with Tiles Combine Integers with Number Lines Integer Invitational Race to the End with Integers 7.M.1.g: Exploring the Order of Operations Rags to Riches Game Order of operations practice Order of Operations Variable Substitution Order of operations practice Order me a Simple Expression Operations Extra! Order in the Expression! Solving with Order! Lesson Plan and Games/Activities for Order of Operations Order of Operations Review and Practice Solving Expressions with Order of Operations 7.M.1.h: Examples of Real World Integers Real World Integers project Directions Integers in our World Real World Integer Use Less than Nothing What’s left in The Bucket? Go Negative That Quiz-Integers Math 7 - Standard Correlation – Planning Guide Chapter 3: Algebra: Linear Equations and Functions DoDEA Standard Correlation Additional Resources Related to the DoDEA Standards Chapter 3 Readiness Quiz Chapter 3 Family Letter Lesson 3-1: Writing Expressions and Equations (pg. 128) Explore 3-2: Algebra Lab: Solving Equations Using Models (pg. 134) Lesson 3-2: Solving Addition and Subtraction Equations (pg. 136) Lesson 3-3: Solving Multiplication Equations (p. 142) Lesson 3-4: Problem Solving Investigation: Work Backwards (pg. 148) Lesson 3-5: Solving Two-Step Equations (pg. 151) Lesson 3-6: Measurement: Perimeter and Area (pg. 156) Last Edit 23 August 2011 7.M.2.c: generate equivalent forms of algebraic expressions by combining like terms; 7.M.2.d: use variables and operations to write an expression, equation, or inequality that represents a verbal description; 7.M.2.d: use variables and operations to write an expression, equation, or inequality that represents a verbal description; 7.M.2.e: model and solve equations using inverse operations; 7.M.2.d: use variables and operations to write an expression, equation, or inequality that represents a verbal description; 7.M.2.e: model and solve equations using inverse operations; 7.M.2.d: use variables and operations to write an expression, equation, or inequality that represents a verbal description; 7.M.2.e: model and solve equations using inverse operations; DoDEA Process Standards 7.M.2.d: use variables and operations to write an expression, equation, or inequality that represents a verbal description; 7.M.2.e: model and solve equations using inverse operations; No DoDEA 7th Grade Math Standard 7.M.2.a: “Can You See it in Nature? Patterns and Function Activity Pack” Math Activity 1: Fish Tails (pg. 11) Math Activity 2: Baby Snakes (pg. 12-13) Math Activity 3: Picnic Tables (pg. 14-15) Math Activity 4: Flower Petals (pg. 16-17) Math Activity 5: Growing Crystals (pg. 18-20) Practice Quiz page 21 7.M.2.b: Practicing Graphic Representations of a Pattern Write an Equation from a Table practice Linear Match Up Graphic representations of a pattern Notes Write an Equation to Represent a Table of Values 7.M.2.c: Collecting Like Terms Interactive Notes Evaluating Variable Expressions Practice Simplifying Variable Expressions Practice Zero Out Game X-pressions Simplifying Expressions: “Steal the Bacon” Game Combining Like Terms Game 7.M.2.d: Practice Translating words to algebraic expressions Examples – translating words into algebraic expressions Step by Step – translating words into algebraic expressions Solving the Unknown Math 7 - Standard Correlation – Planning Guide Explore 3-7: Measurement Lab: Representing Relationships (pg. 162) Lesson 3-7: Functions and Graphs (pg. 163) Extend 3-7: Graphing Calculator Lab: Graphing Relationships (pg. 168) Last Edit 23 August 2011 7.M.2.a: represent and analyze relations and functions with tables, graphs, words, algebraic expressions, and equations; 7.M.2.b: explain relationships between graphs of lines and the corresponding equation; 7.M.2.a: represent and analyze relations and functions with tables, graphs, words, algebraic expressions, and equations; 7.M.2.b: explain relationships between graphs of lines and the corresponding equation; 7.M.2.a: represent and analyze relations and functions with tables, graphs, words, algebraic expressions, and equations; 7.M.2.b: explain relationships between graphs of lines and the corresponding equation; 7.M.2.e: Algebra Match One and Two Step Equations Game: Sequence Two Step Equation Concentration One and Two-Step Equation Flashcards Interactive Notes: solving Two-Step Equations Two-Step Power-point Two-Step Power-point NOTE SHEET Video Notes on two step equations Video Notes on writing two-step equations