Scope and Sequence 6 th PAP Grade Created Fall 2013 1 st 9 weeks School Procedures I. Decimals and Integer Introduction - 10 days 6.12B 6.13A Invented Strategies Teacher strategies p. 42 Student lessons are discovery Van DeWalle p. 42 Blackline Masters 6.1C Integers Absolute value, real world, place on a number line Comparing, Ordering, Representing and Estimating Decimals and Whole Numbers Estimate with Whole Numbers 1-2 Review operations 11-1 See Exploration p. 602 Adapted version of Big Blank Number Line 1-1 Teacher talk: Line up place values, NOT numbers. LAB Model Decimals p.106 using 10 x 10 grids Representing, Comparing, and Ordering 3-1 Decimals Estimating Decimals 3-2 LAB Explore Decimal Addition and p. 116 Using 10 x 10 grids Subtraction Adding and Subtracting Decimals 3-3 Review/TEST/Analyze II. Number Theory - 16 days 6.11B6. 11C 6.2E 6. 12A Alien Invasion How to write exponents Laying the Foundation p. 74 Reference 1-3 Order of Operation 1-4 include exponents Factors and Prime Factorization 4-2 Use Factor Trees/Upside Down Division. Use both methods on page 170. Greatest Common Factor, 4-3 Use Upside Down Division Least Common Multiple LAB Generate Equivalent Decimals and p. 180 ½ day using 10 x 10 grids Fractions Decimals and Fractions 4-4 1 ½ days Friendly Fractions Best Match Van De Walle p. 116 Activity 4.7 LAB Model Equivalent Fractions P. 185 should take ½ day using pattern blocks 4 days Equivalent Fractions 4-5 Use upside down division LAB Explore Equivalent Fraction p. 190 Measurement Mixed Numbers and Improper Fractions 4-6
6. 12A Compare and Ordering Fractions Use benchmark fractions Review/TEST/Analyze 4-7 III. Fraction Operations - 1 6.1D 6.1F 6.1F 2 nd NINE WEEKS Model Adding and Subtracting fractions 4-8 w/like Denominators Estimating Fraction Sums and Differences 4-9 Identify Common Multiples LAB Model Addition and Subtraction of Fractions Adding and Subtracting with Unlike Denominators 5-1 and 4-3 (LCM) Relate to GCF Represent as a Venn Diagram using unifix cubes activity in curriculum 5-2 Refer to 4-9 Adding and Subtracting Mixed Numbers 5-3 LAB Regroup to Subtract Fractions using Cuisenaire rods activity in curriculum Regrouping to Subtract Mixed Numbers 5-4 2 nd 9 weeks ½ days are floater days IV. Proportional Relationships and Understanding Percents - 15 days 6.2C What are Proportions? Ctreated Material in curriculum 6.3B LAB Model Percents p. 380 using 10 x 10 grids Percents 7-7 6.3B Percents, Decimals, and Fractions 7-8 6.2C 6.2C 6.2C 6.2C 6.2C Ratios and Rates 7-1 Use definition of rate p. 353 Using Tables to Explore Equivalent Ratios and 7-2 Rates Proportions 7-3 Look Alike Rectangles Van De Walle p. 160 masters #5 and 6 Similar Figures 7-4, 7-5, 7-6 Indirect Measurement Scale Drawings and Maps Cereal Math Laying the Foundation p. 160
V. Probability - 6 days 6.9A 6.11B 6.11C Introduction to Probability Counting Methods and Sample Spaces 12-1 Connect percent, decimal, and fractions to probability 12-3 Also see 12-5 6.9B 6.9B 6.9B Theoretical Probability ( Check for complement) Experimental Probability ( Check for complement) Fair or Unfair? Activity 12.1 Quiz 12-4 Discuss Law of Large Numbers Show a penny 2 sides 12-2 Do class experiment with penny Van De Walle p. 350 P. 686 extend problem #9 to include student drawing all possible outcomes with a tree diagram VI. Collecting and Displaying Data - 14 days 6.7A LAB Collect Data to Explore Mean P. 297 Van de Walle p. 313 - Activity 11.2 See p. 315 for balance point explanation. Mean, Median, Mode, and Range 6-2 Also see application problems 6-3 Extend Mean, Median, Mode, and Range Ordered pairs Review for First Semester Exam Van De Walle p. 331 - Toying with the Measures Warm Up with 11.6 Elaborate with one of 11.8, 11.9, 11.10 Need masters #7 6-6 Battleship See 11-3 Suggested Topics: Fraction/Decimal/Percent c/o fractions/decimal Regrouping Predict outcomes Proportions Similar figures LCM/GCF 4 days First Semester Exams :.3 rd 9 weeks Collecting and Displaying Data (continued) 6.11B 6.10C Bar Graphs, Line Plots, Frequency Table, Histograms Line Graph 6-4 6-5 Stem-and-Leaf 6-9 6-7 Include technology Box Plot (Box and Whiskers Plot) 7 th grade book 7-5 Create Circle Graphs Teacher made Or See p. 524 M&M Lab Choosing an Appropriate Display Misleading Graphs Review, Test, Analyze 6-10 6-8
VII. Geometric Relationships - 18 days ½ day floater day 6.6A 6.8C Measuring and Classifying Angles 8-2, 8-3 Protractor practice Mirror Activity Angle Relationship 8-3 6.6A 6.6B Triangles Classifying Van de Walle p. 197 Activity 7.4 Need masters #20 6.6B 6.6A 6.6B 6.8C 6.6C 6.6C 6.8D Quadrilaterals Consecutive angles are supplementary Van de Walle Activity 7.5 p. 198 OMIT diagonal part BLM #21 24 Finding Angle Measures in Polygons 9-6 See Mirror Activity (8-2,8-3,8-4) Practice protractor use. Perimeter Small Square Tables from Super Source - Color Tiles p. 58 9-7 Review LAB Explore Circumference p. 518 Laying Foundations Finding Pi Texteam Finding Pi Circles and Circumference 9-8 Use Problem Solving materials** only estimate Use 3 NOT 3.14 Time and Temperature 9-5 Understanding Customary Units of Measure Converting Customary Units Understanding Metric Units of Measure Converting Metric Units VIII. Patterns, Variables and Expressions - 2s 9-1 9-3 9-2 9-4 Transition from King Henry to proportions. 6.1C Integers Operations Use curriculum explanation 8 days (+, -, x, ) LAB p. 616, 621 Reference for problems 11-4 to 11-7 Introduce Patterns and Functions Van de Walle p. 299 301 6.4B 6.4B Interpreting Rate Graphs Translate Between Words and Math 6.4B Translating between Tables and Expressions Patterns and Functions 6.5 Formulate equations formulate equations from problem situations described by linear relationships Activity 10.5 ***Use CBR*** See Alg. Teacher Laying the Foundations p. 50-51 Process Columns Function Friday - Materials Day one - #13, 14, 15, 16 Day two - #11, 29, 31, 33 and #21 28 if time***use CBR*** Teacher created handout by using Holt Problem Solving for 2-4, 2-6, 2-7, and 2-8. DO NOT place operations together, but scramble problems. State ELA TAKS test - District SIM Test/AMA - Analyze Test - integrated in lessons
4 th 9 weeks IX. Measurement: Area and Volume - 1 6.4B Function connection to geometry Van de Walle p. 304 Activity 10.9 Areas of Squares, Rectangles, Day 1 Formula Foldables in curriculum Parallelograms, Triangles and Trapezoids Day 2-10-2 6.11B Day 3 - Application LAB Explore Area of Circles p. 557 Area of Circles 10-5 Use 3 NOT 3.14 Area of Composite Figures 10-3 Volume of Prisms (Rect Prisms Before STAAR/Pyramids and Triangular Prisms After STAAR) After STAAR test 10-7 Use cubes, rectangular prisms. See Math Chart on TAKS STAAR Test - Review - 8 days Problem need to be STAAR like problems. STAAR testing - 4 days X. Readiness for 7 th Grade 14 days 6.3A 6.4B 6.3E 6.3G Used Multiply Fractions and Decimals 6.3A 6.4B 6.3E 6.3G Divide Fractions and Decimals 6.3F Integer Operations Review +/-/x/ 6.7B 6.7C 6.7B 6.7C Equations with Algebra Tiles Formulate & Solve Equations and Inequalitieswith Integers Review /Test/ Analyze Unit Test #8 (MUT) Review for Final Exam 4 days Final Exams -