Elizabeth Blackwell, MS 210Q- Go Math 7th Grade Curriculum 2014-2015Unit 1: The Number System Module 1: Adding and Subtracting Integers Module Essential Question: How can you use addition and subtraction to solve real-world problems? Module Planning Pacing Student Content Essential Question Periods Page(s) ¼ Vocabulary Preview 2 ½ Are You Ready? 4 ¼ Reading Start-Up 5 3 1.1 Adding Integers with the Same Sign 7-12 How do you add integers with the same sign? 13-18 How do you add integers different signs? 19-24 How do you subtract integers? 25-30 How do you solve multistep problems involving addition and subtraction of integers? 3 3 2 ½ ½ 1.2 Adding Integers with Different Sign 1.3 Subtracting Integers 1.4 Applying Addition and Subtraction of Integers Ready to Go On? Module 1 Assessment Readiness Pacing: 13 Periods CCLS 7.NS.1 7.NS.1b 7.NS.1d 7.NS.1 7.NS.1b 7.NS.1c 7.NS.1 7.NS.3 Date: Sept 29-Oct 10 Mathematical Practice Vocabulary • • • • • rational number integer repeating decimal additive inverse terminating decimal • • • • • • • • • • • difference integers negative number opposites positive number sum whole number absolute value additive inverse expression model • additive inverse Practice 5 Practice 5 Practice 2 Practice 1 31 32 Adapted from Houghton Mifflin Hardcourt’s Go Math by B. Jablow 7th Grade Page 1 3 Applying Integer Operations Ready to Go On? Module 2 Assessment Readiness Vocabulary • • • • • • • • • • • ½ 7.Go Math 7th Grade Curriculum 2014-2015 Unit 1: The Number System Module 2: Multiplying and Dividing Integers Pacing: 8 Periods Module Essential Question: How can you use multiplication and division of integers to solve real-world problems? Module Planning Pacing Student Mathematical Content Essential Question CCLS Periods Page(s) Practice ½ Are You Ready? 34 Reading Start-Up 35 3 2.1 Multiplying Integers 37-42 How do you multiply integers? 2 2.2b 7.Elizabeth Blackwell.NS.NS.NS.NS. MS 210Q.3 Date: Oct 14-20 divide dividend divisor integers multiply negative number operation opposites positive number product quotient Practice 2 Practice 7 Practice 4 55 56 Adapted from Houghton Mifflin Hardcourt’s Go Math by B.2 7.2 Dividing Integers 43-48 How do you divide integers? 49-54 How can you use integer operations to solve real-world problems? 2 ½ ½ 2. Jablow 7th Grade Page 2 .2a 7.2 7.NS.NS.3 7. 2 7.5 Dividing Rational Numbers 3.1 Rational Numbers and Decimals 3.1a Vocabulary 61-66 How do you convert a rational number to a decimal? 67-74 How do you add rational numbers? 75-82 How do you subtract rational numbers? 7. Jablow 7th Grade Page 3 .NS.NS.NS. MS 210Q.2b 7.1d 7.2d 7.NS.2 Adding Rational Numbers 3.2c Practice 4 95-100 How do you use different forms of rational numbers and strategically choose tools to solve problems? 7.Go Math 7th Grade Curriculum 2014-2015 Unit 1: The Number System Module 3: Rational Numbers Pacing: 19 Periods Module Essential Question: How can you rational numbers to solve real-world problems? Module Planning Pacing Student Content Essential Question Periods Page(s) ½ Are You Ready? 58 ½ 2 3 3 2 3 2 ½ ½ 1 1 1 Reading Start-Up 3.Elizabeth Blackwell.4 Multiplying Rational Numbers 3.3 Subtracting Rational Numbers 3.NS.NS.1c Practice 2 83-88 How do you multiply rational numbers? 7.EE3 Practice 1 101 102 107-108 109-110 Adapted from Houghton Mifflin Hardcourt’s Go Math by B.NS.NS.2 Practice 2 89-94 How do you divide rational numbers? 7.6 Applying Rational Number Operations Ready to Go On? Module 3 Assessment Readiness Unit 1 Performance Task Unit 1 Assessment Readiness Unit 1 Assessment CCLS Date: Oct 21-Nov 12 Mathematical Practice • • • • • • • • • • integers negative numbers pattern positive numbers whole numbers additive inverse opposite rational number repeating decimal terminating decimal Practice 3 • rational number Practice 2 • • opposite additive inverse 59 7.NS.2b 7. RP.Go Math 7th Grade Curriculum 2014-2015 Unit 2: Ratios and Proportional Relationships Module 4: Rates and Proportionality Module Essential Question: How can you rates and proportionality to solve real-world problems? Module Planning Pacing Student Content Essential Question Periods Page(s) ¼ Vocabulary Preview 112 ½ Are You Ready? 114 Pacing: 10 Periods CCLS Mathematical Practice ¼ Reading Start-Up 115 3 4.2 7.RP.RP.RP. MS 210Q. Jablow 7th Grade Page 4 .3 Proportional Relationships and Graphs 129-134 How can you use graphs to represent and analyze proportional relationships? 7.Elizabeth Blackwell.1 Unit Rates 117-122 How do you find and use unit rates? 7.RP.2b Practice 2 3 4.2b Practice 4 ½ ½ Ready to Go On? Module 4 Assessment Readiness Date: Nov 13-26 Vocabulary • • • • • proportional relationship percent decrease simple interest constant of proportionality rate of change • • • • • • • • • • • • • • • • • • constant conversion factor equivalent rations percent rate ratio complex fractions constant of proportionality proportion proportional relationship rate of change unit rate unit rates complex fraction rate of change proportional relationship proportion constant of proportionality 135 136 Adapted from Houghton Mifflin Hardcourt’s Go Math by B.1 Practice 4 2 4.2a 7.2 Constant Rates of Change 123-128 How can you identify and represent proportional relationships? 7.RP.2a 7. 3 Practice 5 • 7. Jablow 7th Grade Page 5 .RP.RP.2 Rewriting Percent Expressions 147-152 3 ½ ½ 1 1 1 5.1 Percent Increase and Decrease 141-146 2 5.Elizabeth Blackwell.3 Applications of Percent Ready to Go On? Module 5 Assessment Readiness Unit 2 Performance Task Unit 2 Assessment Readiness Unit 2 Assessment 153-158 How do you use percents to describe change? How can you rewrite expressions to help you solve markup and markdown problems? How do you use percents to solve problems? Mathematical Practice Date: Dec 1-10 Vocabulary • • • • • • • • • • • 7.3 Practice 4 • • proportion percent rate ratio unit rate percent decrease percent increase principal simple interest percent increase percent decrease simple interest principal 159 160 163-164 165-166 Adapted from Houghton Mifflin Hardcourt’s Go Math by B.RP. MS 210Q.Go Math 7th Grade Curriculum 2014-2015 Unit 2: Ratios and Proportional Relationships Module 5: Proportions and Percent Pacing: 12 Periods Module Essential Question: How can you use proportions and percent to solve real-world problems? Module Planning Pacing Student Content Essential Question CCLS Periods Page(s) ½ Are You Ready? 138 ½ Reading Start-Up 139 2 5.EE.3 Practice 2 7.3 7.EE.2 7. EE.4 Practice 7 7.3 Writing Two-Step Equations 6.1 Algebraic Expressions 6.EE.Elizabeth Blackwell.1 Practice 4 7.4 Practice 4 Vocabulary • • • • • algebraic expression two-step equation negative variable positive variable inequality • • • • • • • algebraic expression distributive property equation factor operation solution variable • factor 197 198 Adapted from Houghton Mifflin Hardcourt’s Go Math by B. MS 210Q.EE. Jablow 7th Grade Page 6 .Go Math 7th Grade Curriculum 2014-2015 Unit 3: Expressions.2 One-Step Equations with Rational Coefficients 6.4 Solving Two-Step Equations Ready to Go On? Module 6 Assessment Readiness 171 173-178 179-184 185-190 191-196 How do you add.4 Practice 1 7.EE. factor.4a 7. and multiply algebraic expressions? How do you use one-step equations with rational coefficients to solve problems? How do you write a two-step equation? How do you solve a two-step equation? 7.EE. Equations and Inequalities Module 6: Expressions and Equations Pacing: 12 Periods Date: Dec 11-23 Module Essential Question: How can you use equations with the variable on both sides to solve real-world problems? Module Planning Pacing Student Mathematical Content Essential Question CCLS Periods Page(s) Practice ¼ Vocabulary Preview 168 ½ Are You Ready? 170 ¼ 3 2 3 2 ½ ½ Reading Start-Up 6. subtract. EE.EE4b Practice 5 algebraic expression coefficient constant equation greater than inequality integers less than operations solution variable 223 224 228 229-230 Unit 3 Assessment Adapted from Houghton Mifflin Hardcourt’s Go Math by B.1 Writing and Solving One-Step Inequalities 7.Elizabeth Blackwell.4 Practice 2 7.2 Writing Two-Step Inequalities 7.3 Solving Two-Step Inequalities Ready to Go On? Module 7 Assessment Readiness Unit 3 Performance Task Unit 3 Assessment Readiness CCLS Pacing: 12 Periods Date: Jan 5-15 Mathematical Practice Vocabulary • • • • • • • • • • • 201 203-210 211-216 217-222 How do you write and solve one-step inequalities? How do you write a two-step inequality? How do you solve a two-step inequality? 7.4b Practice 1 7. Equations and Inequalities Module 7: Inequalities Module Essential Question: How can you use systems of equations to solve real-world problems? Module Planning Pacing Student Content Essential Question Periods Page(s) ½ Are You Ready? 200 ½ 3 2 2 ½ ½ 1 1 1 Reading Start-Up 7. MS 210Q.EE. Jablow 7th Grade Page 7 .Go Math 7th Grade Curriculum 2014-2015 Unit 3: Expressions. G.2 Post-Assessment Standard 8.Elizabeth Blackwell. MS 210Q.1 How can you use scale drawings to solve 3 Similar Shapes and Scale 237-242 problems? Drawings 8.4 Post-Assessment Standard Ready to Go On? ½ 259 (Question 1 only) Module 8 Post-Assessment Standard Assessment Readiness Adapted from Houghton Mifflin Hardcourt’s Go Math by B. Jablow Pacing: 4 Periods CCLS Mathematical Practice 7.Go Math 7th Grade Curriculum 2014-2015 Unit 4: Geometry Module 8: Modeling Geometric Figures Module Essential Question: How can you use proportions to solve real-world problems? Module Planning Pacing Student Content Essential Question Periods Page(s) Vocabulary Preview Post-Assessment Standard ½ Are You Ready? 234 Reading Start-Up 8.3 Post-Assessment Standard 8.1 Practice 4 Date: Jan 16-21 Vocabulary • • scale drawing scale 7th Grade Page 8 . Area. Jablow 7th Grade Page 9 .3 9. MS 210Q.Go Math 7th Grade Curriculum 2014-2015 Unit 4: Geometry Module 9: Circumference.4 Practice 7 271-276 How do you find the area of a circle? 7.Elizabeth Blackwell.1 Circumference 265-270 How do you find and use the circumference of a circle? 7. & 8) Unit 4 Performance Task Unit 4 Assessment Readiness (Omit Questions 1.G. 13.5 Ready to Go On? (Questions 1 & 2 only) Module 9 Assessment Readiness (omit Questions 3. 12. 15) Date: Jan 22-28 Vocabulary • • • • • • • • area perimeter circumference diameter radius radius diameter circumference Post-Assessment Standard Post-Assessment Standard Post-Assessment Standard 295 296 Post-Assessment Standard Unit 4 Assessment Adapted from Houghton Mifflin Hardcourt’s Go Math by B. 4.G.5 9. 7. 5.4 Practice 4 3 ½ ½ 1 9. and Volume Module Essential Question: How can you apply geometry concepts to solve real-world problems? Module Planning Pacing Student Content Essential Question Periods Page(s) ½ Are You Ready? 262 Pacing: 9 Periods CCLS Mathematical Practice ½ Reading Start-Up 263 2 9. 8.2 Area of Circles 9. 2c 7.Elizabeth Blackwell.Go Math 7th Grade Curriculum 2014-2015 Unit 5: Statistics Module 10: Random Samples and Populations Pacing: 11 Periods Module Essential Question: How can you use random samples and populations to solve real-world problems? Module Planning Pacing Student Content Essential Question CCLS Periods Page(s) ¼ Vocabulary Preview 306 ½ Are You Ready? 308 Mathematical Practice ¼ Reading Start-Up 309 3 10.1 Practice 4 323-328 How can you generate and use random samples to represent a population? 7. MS 210Q.SP.Feb 6 Vocabulary • • • • • • random sample population sample box plot dot plot random integer • • • • • • • • • • • • • • • • • box plot data dot plot interquartile range lower quartile median spread survey upper quartile biased sample population random sample sample population sample random sample biased sample 329 330 Adapted from Houghton Mifflin Hardcourt’s Go Math by B.SP.2 Making Inferences from a Random Sample 10.SP.1 Practice 6 317-322 How can you use a sample to gain information about a population? 7.2 Practice 5 3 3 ½ ½ 10. Jablow 7th Grade Page 10 .3 Generating Random Samples Ready to Go On? Module 10 Assessment Readiness Date: Jan 29.RP.2 7.SP.1 Populations and Samples 311-316 How can you use a sample to gain information about a population? 7. Go Math 7th Grade Curriculum 2014-2015 Unit 5: Statistics Module 11: Analyzing and Comparing Data Module Essential Question: How can you solve real-world problems by analyzing and comparing data? Module Planning Pacing Student Content Essential Question Periods Page(s) ½ Are You Ready? 332 ½ 3 3 3 ½ ½ 1 1 1 Reading Start-Up 11.SP. MS 210Q.SP.SP.SP.2 Comparing Data Displayed in Box Plots 11.3 Using Statistical Measures to Compare Populations Ready to Go On? Module 11 Assessment Readiness Unit 5 Performance Task Unit 4 Assessment Readiness Pacing: 14 Periods CCLS Date: Feb 9-27 Mathematical Practice Vocabulary • • • • • • • • • 333 335-340 How do you compare two sets of data displayed in dot plots? 7.3 Practice 2 347-352 How can you use statistical measures to compare populations? 7.4 Practice 6 data interquartile range mean measure of center median survey box plot dot plot mean absolute deviation (MAD) 353 354 358 359-360 Unit 4 Assessment Adapted from Houghton Mifflin Hardcourt’s Go Math by B.4 Practice 7 341-346 How do you compare two sets of data displayed in box plots? 7. Jablow 7th Grade Page 11 .1 Comparing Data Displayed in Dot Plots 11.3 7.Elizabeth Blackwell. 5 7. Jablow Date: Mar 2-13 Vocabulary • • • • • • • experiment complement trial simulation probability simple event sample space • • • • • • • • • • • • • • • • • • • • • • • • data observation percent ratio complement compound event event experiment experimental probability outcome probability simple event simulation trial experiment trial outcome event probability sample space complement experimental probability simple event simulation 7th Grade Page 12 .Go Math 7th Grade Curriculum 2014-2015 Unit 6:: Probability Module 12: Experimental Probability Module Essential Question: How can you use experimental probability to solve real-world problems? Module Planning Pacing Student Content Essential Question Periods Page(s) ¼ Vocabulary Preview 362 ½ Are You Ready? 364 Pacing: 13 Periods CCLS Mathematical Practice ¼ Reading Start-Up 365 3 12.SP.SP.7b Practice 4 Adapted from Houghton Mifflin Hardcourt’s Go Math by B.SP.2 Experimental Probability of Simple Events 375-380 How do you find the experimental probability of a simple event? 7.SP.6 7.7a Practice 6 3 12.1 Probability 367-374 How can you describe the likelihood of an event? 7. MS 210Q.Elizabeth Blackwell. 8a 7.8c Practice 2 387-392 How do you make predictions using experimental probability? 7. MS 210Q.SP.SP.SP.3 Experimental Probability of Compound Events 12.SP.Elizabeth Blackwell.8b 7.SP.6 Practice 4 • compound event 393 394 Adapted from Houghton Mifflin Hardcourt’s Go Math by B. Jablow 7th Grade Page 13 .4 Making Predictions with Experimental Probability Ready to Go On? Module 12 Assessment Readiness 381-386 How do you find the experimental probability of a compound event? 7.Go Math 7th Grade Curriculum 2014-2015 3 2 ½ ½ 12.8 7. 7a 7.Elizabeth Blackwell. MS 210Q.SP.SP.8c 7.4 Using Technology to Conduct a Simulation Ready to Go On? Module 13 Assessment Readiness Unit 6 Performance Task Unit 6 Assessment Readiness Mathematical Practice 397 399-404 How do you find the theoretical probability of a simple event? 7.SP.8a 7.SP.6 7.SP.3 Making Predictions with Theoretical Probability 13.8 Practice 5 Date: Mar 16-31 Vocabulary • • • • • • • • complement compound event event experiment outcome simple event probability theoretical probability • theoretical probability 423 424 428 429-430 Unit 6 Assessment Adapted from Houghton Mifflin Hardcourt’s Go Math by B.SP.1 Theoretical Probability of Simple Events 13.2 Theoretical Probability of Compound Events 13.8 7.SP.8b Practice 2 411-416 How do you make predictions using theoretical probability? 7.6 Practice 7 405-410 How do you find the theoretical probability of a compound event? 7.Go Math 7th Grade Curriculum 2014-2015 Unit 6: Probability Module 13: Theoretical Probability and Simulations Pacing: 15 Periods Module Essential Question: How can you use two-way frequency tables to solve real-world problems? Module Planning Pacing Student Content Essential Question CCLS Periods Page(s) ½ Are You Ready? 396 ½ 3 3 2 3 ½ ½ 1 1 1 Reading Start-Up 13. Jablow 7th Grade Page 14 .SP.7a Practice 4 417-422 How do you use technology simulations to estimate probabilities? 7.SP. Jablow 7th Grade Page 15 .Elizabeth Blackwell. Additional and Supporting focus topics NYS Mathematics Assessment is April 22-24 Percent of Test Points Ratios and Proportional 20-30% Relationships The Number System 15-25% Expressions and Equations 30-40% Geometry 5-15% Statistics and Probability 10-20% Cluster Emphasis of Assessment Major Clusters 70-80% Supporting Clusters 10-20% Additional Clusters 5-10% Adapted from Houghton Mifflin Hardcourt’s Go Math by B.Go Math 7th Grade Curriculum 2014-2015 April 1-April 21 Review Major. MS 210Q. G.May 15 Mathematical Practice Vocabulary • • • • • • • • • • • • • • • • • • • • • • congruent angles complementary angles circumference lateral area composite figures angle degree dimension length proportion polygon ratio width adjacent angles complementary angles congruent angles cross section intersection scale scale drawing supplementary angles vertical angles • • intersection cross section Already Completed 243-246 247-250 How can you draw shapes that satisfy given conditions? How can you identify cross sections of threedimensional figures? Adapted from Houghton Mifflin Hardcourt’s Go Math by B. MS 210Q.G. Jablow 7.3 Cross Sections Pacing: 11 Periods CCLS Date: April 27.1 Similar Shapes and Scale Drawings 8.2 7.2 Geometric Drawings 8.Elizabeth Blackwell.3 Practice 5 Practice 4 7th Grade Page 16 .Go Math 7th Grade Curriculum 2014-2015 Unit 4: Geometry Module 8: Modeling Geometric Figures Module Essential Question: How can you use proportions to solve real-world problems? Module Planning Pacing Student Content Essential Question Periods Page(s) ½ Vocabulary Preview 232 ½ Reading Start-Up 235 X 3 2 8. G.Elizabeth Blackwell.5 Practice 2 • • • • • congruent angles vertical angles adjacent angles complementary angles supplementary angles 259 260 Adapted from Houghton Mifflin Hardcourt’s Go Math by B. MS 210Q. Jablow 7th Grade Page 17 .Go Math 7th Grade Curriculum 2014-2015 3 1 1 8.4 Angle Relationships Ready to Go On? (Questions 2-8) Module 8 Assessment Readiness 251-258 How can you use angle relationships to solve problems? 7. 5. 7. 15) Unit 4 Assessment CCLS Date: May 18. Jablow 7th Grade Page 18 .6 Practice 5 7.G.3 Area of Composite Figures 9. 4.6 Practice 7 295 296 301-302 303-304 Adapted from Houghton Mifflin Hardcourt’s Go Math by B. 12.2 Area of Circles 9.G.Go Math 7th Grade Curriculum 2014-2015 Unit 4: Geometry Module 9: Circumference. and Volume Pacing: 12 Periods Module Essential Question: How can you apply geometry concepts to solve real-world problems? Module Planning Pacing Student Content Essential Question Periods Page(s) X X X 2 3 2 1 1 1 1 1 Reading Start-Up 9. 8. MS 210Q.4 Solving Surface Area Problems 9. Area.G.Elizabeth Blackwell.1 Circumference 9.June 12 Mathematical Practice Vocabulary • • • • • • • • • • • • 263 Review New Terms area parallelogram prism rectangle square trapezoid triangle volume circumference composite figure diameter radius Already Completed Already Completed 277-282 283-288 289-294 How do you find the area of composite figures? How can you find the surface area of a figure made up of cubes and prisms? How do you find the volume of a figure made of cubes and prisms? 7. 13. & 8) Unit 4 Performance Task Unit 4 Assessment Readiness (Questions 1.6 Practice 4 7.5 Solving Volume Problems Ready to Go On? (Questions 3-7) Module 9 Assessment Readiness (Questions 3.