BPS 7th Grade Pre-Algebra Revised summer 2014 Year at a Glance Unit Standards Practices Days 1 All Operations with Integers 7.NS.1, 7.NS.2, 7.NS.3 1,4,6,8 7 2 All Operations with Rational Numbers 7.NS.1c, 7.NS.1d, 7.NS.2, 7.NS.2d, 7.EE.3 1,4,6,8 8 3 Simplifying Expressions and Solving Linear Equations 7.EE.1 7.EE.2 8.EE.7 6,7 10 4 Real Numbers 8.NS.1, 8.NS.2, 8.EE.2 1,6 10 5 Exponents and Scientific Notation 8.EE.1, 8.EE.3, 8.EE.4 4,5,6,8 9 6 Proportional Reasoning and Relationships 7.RP.1, 7.RP.2, 7.RP.3 4,6,8 6 7 Reasoning with Percents 7.RP.3, 7.EE.2 4,5,6,8 15 8 Linear Functions 8.F.1, 8.F.2, 8.F.3, 8.F.4, 8.F.5, 8.EE.5, 8.EE.6 2,4,7,8 20 9 Patterns in Bivariate Data 8.SP.1, 8.SP.2, 8.SP.3. 8.SP.4 3,5 12 10 Systems of Linear Equations 8.EE.8 1,6,7 11 11 Nonlinear Functions 8.F.1, 8.F.2, 8.F.3, 8.F.4, 8.F.5 2,4,7,8 6 12 Pythagorean Theorem 8.G.6, 8.G.7, 8.G.8 3,4,7,8, 10 13 Geometric Relationships 8.G.5 (not triangle angles) 3,5 6 14 Volume of Cones, Spheres, and Cylinders 8.G.9 1,2 11 15 Transformations, Congruence and Similarity 8.G.1, 8.G.2, 8.G.3, 8.G.4, 8.G.5 (only triangle angles) 3,5,6,7 12 Needed Resources: PreAlgebra - McDougal Littell Mathematics Station Activities Book - Grade 7/8 Walch Education. Looking at Lines - AIMS Book https://grade8commoncoremath.wikispaces.hcpss.org/home Punchline Binders
Unit 1: All Operations with Integers 1 Compare and Order Integers Pre-Algebra Text Lesson 1.4 pg. 24-26 2 Adding Integers Pre-Algebra Text Lesson 1.5 pg. 31-33 3 Subtracting Integers Pre-Algebra Text Lesson 1.6 pg. 36-38 Pizzazz 14 Punchline Bridge to Algebra pg. 3.6 (Add and Subtract) 4 Multiplying and Dividing Integers Pre-Algebra Text Lesson 1.7 pg. 44-46 7.NS.1 1 7.NS.1 1 7.NS.1 2 7.NS.2 2 5 Review/Assessment as needed 1
Unit 2: All Operations with Rational Numbers 1 Introduce Rational Numbers Pre-Algebra Textbook Lesson 5.1 pages 222-224 2 Adding Fractions with Unlike Denominators and Negatives Pre-Algebra Textbook Lesson 5.3 pages 233-235 Punchline Problem Solving WS 57, 58 3 Subtracting Fractions with Unlike Denominators and Negatives Pre-Algebra Textbook Lesson 5.3 pages 233-235 4 Multiply Fractions and Mixed Numbers with Negatives Pre-Algebra Textbook Lesson 5.4 pages 239-241 7.NS.2d 1 7.NS.1d 1 7NS.1c 1 7.NS.2 1 5 Divide Fractions and Mixed Numbers with Negatives Pre-Algebra Textbook Lesson 5.5 pages 245-246 Punchline Problem Solving WS 69 6 Adding/Subtracting Decimals with Negatives Pre-Algebra Textbook Lesson 2.7 pages 105-107 Punchline Pre-Algebra with Pizzazz WS p. 45 7.NS.2 7.EE.3 7.NS.2 7.NS.2b 1 1 7 Multiply/Divide Decimals with Negatives Pre-Algebra Textbook Lesson 2.7 pages 105-107 Punchline Pre-Algebra with Pizzazz WS p. 48, 53 8 Review or Assess as Needed Punchline Bridge to Algebra WS p. 6.14, 6.19 7.NS.3 1 1
Unit 3: Simplifying Expressions and Solving Linear Equations 1 Distributive Property Pre-Algebra Textbook Lesson 2.2 pages 73-75 7.EE.1 1 2 Simplify Expressions Pre-Algebra Textbook Lesson 2.3 pages 80-82 Punchline Bridge to Algebra WS 2.3,2.4 3 Solving Two-Step Equations Pre-Algebra Textbook Lesson 3.1 pages 122-124 Punchline Bridge to Algebra WS 4.11, 4.12, 4.13 4 Solving Multi-step Equations Pre-Algebra Textbook Lesson 3.2 pages 127-129 Punchline Algebra p. 3.14 Multi-Step Equations - Quinceanera Problem Multi-Step Equations - Distributive Property 7.EE.1, 7.EE.2 7.EE.4, 7.EE.4a 8.EE.7, 8.EE.7b 1 1 3 5 Solving Equations with Variables on Both Sides Pre-Algebra Textbook Lesson 3.3 pages 133-135 Punchline Algebra p. 3.15, 3.16, 3.17 8.EE.7 2 Multi-Step Equations Kuta WS Algebra - includes both 6.1 and 6.2 Multi-Step Equations Kuta WS Algebra 2 6 Solving Equations Involving Fractions and Decimals Pre-Algebra Textbook Lesson 2.7 or 5.7 pg. 105-107 & pg.255-257 Punchline Bridge to Algebra WS 4.7, 4.8, 4.9 (selected problems) Punchline Algebra WS 3.18 8.EE.7 7.EE.3 2
Unit 4: Real Numbers 1 Square Roots Intro Pre-Algebra Textbook Lesson 9.1pg. 455-457 8.NS.1 1 2 Rational and Irrational Numbers Stations Activities Number Systems - Set 2 p. 9 OR Rational and Irrational Numbers Pre-Algebra Textbook Lesson 5.1 Real Number Race ONLY p. 5-8 (takes awhile to load) 8.NS.1, 8.EE.2 3 3 Approximating Irrational Numbers Stations Activites Number Systems - Set 3 p. 16 4 Solving Equations by Finding Square Roots Pre-Algebra Textbook 9.1 pg. 455-457( equation problems) 8.NS.2 3-4 2
Unit 5: Exponents and Scientific Notation 1 Rules of Exponents Pre-Algebra Textbook Lesson 4.5 pg. 196-198 Punchline Algebra Book B p. 11.1 2 Negative and Zero Exponent Pre-Algebra Textbook Lesson 4.6 pg. 201-203 Punchline Algebra Book B p. 11.6 (includes some challenge problems) 3 Monomials and Powers Pre-Algebra Textbook Lesson 4.5 & 4.6 Punchline Algebra p. 11.3 or 11.4 8.EE.1 2 8.EE.1 1 8.EE.1 2 4 Scientific Notation Pre-Algebra Textbook Lesson 4.7 Punchline Algebra p. 11.8 Operations Scientific Notation Kuta Punchline Algebra p. 11.12 5 Problem Solving with Exponents and Scientific Notation Stations Activities Expressions and Equations - Sets 1-4, p. 24-30 8.EE.3, 4 8.EE.1, 3, 4 1 2-3
Unit 6: Proportional Reasoning and Relationships 1 Ratios and Rates Pre-Algebra Textbook 6.1 Punchline Algebra Book A 5.3, 5.4 Punchline Problem Solving 103, 104 7.RP.1 7.RP.2 7.RP.3 3 2 Writing and Solving Proportions Pre-Algebra Textbook 6.2 7.RP.3 3 Activity: Goldfish
Unit 7: Reasoning with Percents 1 Percents and fractions Pre-Algebra Textbook 7.1 7.RP.1 1 2 Percent proportion Pre-Algebra Textbook 7.2 Punchline Bridge to Algebra 7.14 Punchline Problem Solving 119, 120, 121, 122 (partner ws) 7.RP.1, 7.RP.2 3 3 Percents and decimals Pre-Algebra Textbook 7.3 4 Percent equation Pre-Algebra Textbook 7.4 Pizzazz 108 5 Percent of change Pre-Algebra Textbook 7.5 Punchline Bridge to Algebra 7.17 6 Percent Applications Pre-Algebra Textbook 7.6 Punchline Bridge to Algebra 7.18 Yummymath.com Starbucks activity 7 Interest Punchline Bridge to Algebra 7.19, 7.20 Pre-Algebra Textbook 7.7 7.RP.2 1 7.RP.2 2 7.RP.3 2 7.RP.3 4 7.RP.3 2
Unit 8: Linear Functions 1 Relations and Functions Pre-Algebra Textbook Lesson 8.1 2 Real World Situation Graphs Stations Activities Functions Set 1 p. 88 8.F.1,2 1 8.F.5 2 3 Introduction to Graphs of Linear Equations Pre-Algebra Textbook Lesson 8.2 p. 394 Punchline Bridge to Algebra WS 10.5 Stations Activities Set 2 Station #1 only Stations Activities Set 3 Stations #1 only 8.F.2, 3 8.EE.5 3 4 Using X and Y Intercepts to Graph Linear Equations Pre-Algebra Textbook Lesson 8.3 p. 400-402 5 Slope Pre-Algebra Textbook Lesson 8.4 p. 403 as introduction Punchline Bridge to Algebra WS 10.7 8.EE.6 1 8.F.3 1 6 Writing Function Rules AIMS Activity Zap It #1-3 p. 98 8.F.1, 2, 3 2-3 7 Slope-Intercept Form Pre-Algebra Textbook Lesson 8.5 p. 415-417 Stations Activities Functions Set 2 Stations #2,3,4 Stations Activites Functions Set 3 Stations #2,3,4 8 Writing Linear Equations Stations Activities Expressions and Equations Set 3 Pre-Algebra Textbook Lesson 8.6 p. 422-424 8.F.3 3-4 8.EE.5 2 9 Function Rule WS or Punchline WS 10.4 8.F.5 1 10 What's My Line from www.montanamath.org AND/OR Shoot for the Stars (Need computer program - contact Jennifer Brackney @ Castle Rock) 4 Graphing with Restrictions on Desmos (www.desmos.com) Desmos WS Cell Phone Lesson Plan, Cell Phone Plan Cards Filling the Pool
Unit 9: Patterns in Bivariate Data 1 What is the Relationship? 8.SP.1 1 2 Data and Relationships Stations Activities Stats and Probability Set 1 p. 177 3 Scatter Plots Stations Activities Stats and Probability Set 2 p. 189 Punchline Algebra WS 1.13 Punchline Bridge to Algebra WS 7.20 4 Investigating Scatter Plots Data Sets - Ready to use data Investigate Scatter Plots -Swimmer Investigating Scatter Plots - Toucan Investigating Scatter Plots - R&B Investigating Scatter Plots -Soda 8.SP.1, 2, 4 8.SP.1, 2, 4 8.SP. 1, 2, 3, 4 2 1 5 5 Find an Equation of a Line of Best Fit (calculator activity) Line of Best Fit Worksheet WS 8.SP.2, 3 2 6 Two-Way Tables and Relative Frequency 8.SP.4 1
Unit 10: Systems of Linear Equations 1 Systems Graphing Stations Activities Expressions and Equations Set 4 p. 56-66. Punchline Algebra p. 8.1 (lesson 8.8 Example #1 first) Systems Graphing Pizza Problem Student WS 2 Systems Substitution Stations Activities Expressions and Equations Set 5 p. 67-76. Punchline Algebra WS p. 8.2 Baseball Problem, Student WS Movie Problem 3 Systems Elimination - Introduction Stations Activities Expressions and Equations Set 6 p. 77-87 Punchline Algebra WS p. 8.3 Lets Race 8.EE.8 5 8.EE.8 3 8.EE.8 3
Unit 11: Nonlinear Functions 1 Nonlinear Functions Course 3 Textbook Lesson 13.5 2 Linear Vs. Non Linear Stations Activities Functions Set 2 p. 101 8.F.1, 2 1 8.F.1,.2 2-3 3 Function Families, Student Worksheet 8.F.4 2
Unit 12: Pythagorean Theorem 1 Pythagorean Theorem Pre-Algebra Textbook 9.3 Pythagorean Theorem Kuta Worksheet 8.G.7 2 2 Problem Solving Strategies Course 3 Textbook Lesson 9.4, p. 448 3 Problem Solving Punchline p. 134 Punchline Algebra p. 16.2 8.G.7 1 8.G.7 1 4 Application Practice WS - Howard County Activity 8.G.7 1 5 EXTENSION ACTIVITY: Properties of Right Triangles Station Activities Geometry Lesson - Set 5 (#1-4) p. 154 8.G.6, 7, 8 2-3 6 Amazing Amusements - Howard County Activity, Map 8.G.8 2
Unit 13: Geometric Relationships 1 Properties of Angle Pairs Stations Activity Geometry Lesson - Set 3, page 140. 2 Angle Pairs Pre-Algebra Textbook Lesson 13.1 8.G.5 2 8.G.5 1 3 Punchline Bridge to Algebra p. 11.3, 11.5 8.G.5 1 4 Angles and Triangles (Sum of Interior and exterior) Pre-Algebra Textbook Lesson 13.3 8.G.5 1 5 Punchline Bridge to Algebra p. 11.4 8.G.5 1
Unit 14: Volumes of Cones, Spheres, and Cylinders 1 Volume Cylinders, Cones, and Spheres Stations Activities Geometry Set 7 p. 168 2 Hands-on Activity Course 3 Textbook p. 512 3 Volumes of Prisms and Cylinders Pre-Algebra Textbook Lesson 10.7 Punchline Bridge to Algebra, p.13.16 8.G.9 2 8.G.9 1 8.G.9 1 4 Volume of Cones and Cylinders, Student WS 8.G.9 1 5 Hands-on Activity Course 3 Textbook p. 518 6 Volumes of Pyramids and Cones Pre-Algebra Textbook Lesson 10.8 Punchline Bridge to Algebra WS 13.17 8.G.9 1 8.G.9 1 7 Volume of Spheres, Student WS 8.G.9 1 8 Volume of Spheres Punchline Punchline Bridge to Algebra p. 13.18, 13.19 8.G.9 1 9 Use Pythagorean Theorem to find needed lengths 8.G.7 1 10 Ice Cream Problem 8.G.9 1
Unit 15: Transformations, Congruence and Similarity 1 Transformation Exploration (HCPS Lesson) Cards, Key 8.G.2, 3 1 2 Stations Activities Transformations Activity Lesson- Set 1 (#1-4) p. 124 8.G.1 2 3 Congruent Polygons Course 3 Textbook Lesson 8.5 Punchline Bridge to Algebra WS 11.8 4 Reflections Pre-Algebra Textbook Lesson 13.5 Kuta Reflections Worksheet 5 Translations Pre-Algebra Textbook Lesson 13.4 pg. 731-733 Kuta Translations Worksheet 8.G.1, 5 1 8.G.1, 2, 3 1 8.G.1, 2, 3 2 6 Rotations Pre-Algebra Textbook Lesson 13.6 pg. 744-746 Kuta Rotations Worksheet 1 7 Similarity and Dilations Pre-Algebra Textbook Lesson 13.7 8.G.2, 3, 4, 5 1 8 Graphic Art Contest (HCPS Lesson), Recording Sheet 8.G.1, 2, 3, 4, 5 2 9 EXTENSION ACTIVITY: 3-D Transformations Stations Activity Geometry Lesson- Set 2 (#1-4) p. 133 8.G.3 1