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Newburgh Enlarged City School District Math Grade 3 Curriculum Mapping 2010-2011 Revised August 30, 2010 Assessment Content (What Students Should Skills (What Students Perf. Essential Questions (Evidence) Know) Should Be Able To Do) Indicators Resources PRE What characteristics Number Sense and Operations Skip count by 25’s, 50’s, 3.N.1 Hands on Standards: MAY-JUNE Quizzes/Tests 100’s, 1,000 Number Sense and makes a number odd or even? Skip Counting by 25’s, 50’s, and Operations Sept 2010 100’s Read and write whole 3.N.2 Lesson 1 – pg. 16 How can strategies Use Hands on numbers to 1,000 Lesson 2 – pg. 18 using numbers help us Standards Understand Place Value: Hundreds, Tens, and Ones 3.N.3 Lesson 2 – pg. 160 in solving real world Assessments Compare and order numbers to 1,000 Lesson 3 – pg. 162 problems? as Appropriate Comparing and ordering whole Lesson 8 – pg. 172 How does mathematics numbers Understand the place value 3.N.4 help us to collect, structure of the base ten display, analyze and Identify even and odd numbers number system: Coach Workbooks interpret data? 10 ones = 1 ten Statistics and Probability 10 tens = 1 hundred Supplemental Materials How can mathematics 10 hundreds = 1 thousand be used to model real Construct: Frequency Tables Math Websites world situations? Pictographs and Bar Graphs Use a variety of strategies to 3.N.5 Interpreting Pictographs and Bar compose and decompose Process Vocabulary Graphs three-digit numbers Analyze Math Man by Timothy Approach Content Vocabulary Identify odd and even 3.N.16 Bush Collaborate Bar graph numbers Concrete rep. Compare Mission Addition by Discuss Conclusion Construct a frequency table to Loreen Leady Examine Data, represent a collection of data 3.S.3 Explore Digits Graphical rep. Even numbers Identify the parts of 3.S.4 Grid Expanded form pictographs and bar graphs Identify Frequency table Interpret Graph key Display data in pictographs 3.S.5 Invalid approach Hundreds chart and bar graphs Irrelevant info. Hundreds place Oral Rep. Number line State the relationships 3.S.6 Pictorial Rep. Odd number between pictographs and bar Problem Solving Ones place graphs Strategies Order 3.S.7 Chart Pictograph Read and interpret data in bar Diagram Place Value graphs and pictographs Organized List Prediction Table Picture Probability Tens Place Formulate conclusions and 3.S.8 Proc. Of Elimination Skip count Three digit Number make predicts from graphs Survey Whole number 1 Newburgh Enlarged City School District Math Grade 3 Curriculum Mapping 2010-2011 Revised August 30, 2010 Assessment (Content (What Students Skills (What Students Perf. Essential Questions (Evidence) Should Know) Should Be Able To Do) Indicators Resources Oct. What strategies can Quizzes/Tests Number Sense and Operations- Use and explain the 3.N.6 Hands on Standards: 2010 we use to add and con’t commutative property of Number Sense and subtract numbers? addition Operations Lesson 5 – pg. 114 What characteristics Understand and use the 3.N.9 Lesson – 7 – pg. 118 makes a number odd Properties of Addition associative property of Lesson 3 – pg. 120 or even? addition Process Vocabulary Subtraction with regrouping Coach Workbooks Continued Use a variety of strategies 3.N.18 Problem solving strategies to add and subtract three Supplemental Trial and Error digit numbers (with and Materials Use Manipulatives Adding and subtract whole without re-grouping) Real World Situations numbers Math Websites Recognize Develop strategies for 3.N.24 Relevant info Choosing operations to solve selecting the appropriate Understand problems computational and Subtraction Action by Valid Approach Verify operational method in Loreen Leedy Written Rep. problem solving situations Argument Betcha! By Stuart Explain Develop an understanding 3.N.17 Murphy Investigate Content Vocabulary of the properties of Justify odd/even numbers as a Make Conjectures Associative property result of addition or Mathematical Commutative property of addition subtraction Statement Difference Reasonableness Doubling True/false Number sentence Answer Operational method Clarify Operation Week of Explain Property October Verbal Benchmark Regrouping 25-2930 Written Assessment #1 Relating facts 2010 Apply (Sept. Early Oct Subtract Compare Topics) Subtraction Connect Sum Contrast Value Recognize 2 Newburgh Enlarged City School District Math Grade 3 Curriculum Mapping 2010-2011 Revised August 30, 2010 Essential Assessment Content (What Students Should Skills (What Students Perf. Questions (Evidence) Know) Should Be Able To Do) Indicators Resources Nov 2010 How does Quizzes/Tests Number Sense and Operations- Estimate numbers up to 3.N.25 Hands on Standards: mathematics help cont 500. Number Sense and us to make Operations comparisons? Rounding to the nearest 10 or 100 Recognize real world 3.N.26 Lesson 2 – pg. 18 situations in which an Lesson 4 – pg.22 How can patterns Estimating to check if answers are estimate (rounding) is Lesson – 1 – 106 help in problem reasonable more appropriate Lesson 2 – pg. 108 solving? Lesson 4 – pg.112 Check reasonableness of 3.N.27 Algebra an answer by using Coach Workbooks Process estimation Vocabulary Supplemental Continued Comparing whole numbers using Use the symbols <, >, = 3.A.1 Materials Understand symbols (with and without the use Construct of a number line) to Math Websites Differences Numeric and geometric patterns compare whole numbers Similarities Types of reps Describe and extend 3.A.2 Charts numeric (+, -) and Equation geometric patterns Graph Model Symbol Table Content Vocabulary Verbal Compare Language Equal to (=) Written Estimate Language Geometric pattern Greater than (>) Less than (<) Mental math ** Process Number line Vocabulary Numeric expression should be Numeric pattern ongoing Pattern throughout the Rounding year Whole numbers 3 Newburgh Enlarged City School District Math Grade 3 Curriculum Mapping 2010-2011 Revised August 30, 2010 Essential Assessment Content (What Students Skills (What Students Should Perf Questions (Evidence) Should Know) Be Able To Do) Indicators Resources Dec 2010 How do we sort and Quizzes/Tests Geometry Define and use correct 3.G.1 Hands on Standards: classify shapes? terminology when referring to Geometry Two-Dimensional Figures shapes (circle, triangle, square, Lesson – 1 – 66 What gives a shape Three-Dimensional Figures rectangle, rhombus, trapezoid, Lesson 8 – pg. 80 a certain name? Symmetry and hexagon) Lesson 4 – pg.72 Lesson 9 – pg. 82 How different can a Content Vocabulary Identify congruent and similar 3.G.2 shape look and still Angle figures Coach Workbooks fit in a category? Attribute Circle Name, describe, compare, and 3.G.3 Supplemental How are shapes Closed figure sort three-dimensional shapes: Materials related to other Cube cube, cylinder, sphere, prism, shapes and why? Cylinder and cone Math Websites Edge Face Identify the faces on a three- 3.G.4 Geometric figure dimensional shape as two- Hands on Hexagon dimensional shapes Standards Length Assessments Line of symmetry Identify and construct lines of 3.G.5 Geometry Open figure symmetry ** Process Post-test Plane figure Vocabulary Polygon should be ongoing Prism throughout the Ray year Rectangle Rhombus Shape Side Solid figure Sphere Square Trapezoid Three dimensional figure Triangle Two dimensional figure Vertices 4 Newburgh Enlarged City School District Math Grade 3 Curriculum Mapping 2010-2011 Revised August 30, 2010 Assessment Content (What Students Skills (What Students Should Perf. Essential Questions (Evidence) Should Know) Be Able To Do) Indicators Resources Jan-Feb. How are factors and Quizzes/Tests Number Sense and Use and explain the Hands on Standards: 2011 products related? Operations -con’t Commutative Property of 3.N.6 Number Sense and How can strategies Multiplication Operations using numbers help Models for multiplication us in solving real Use 1 as the identity element Lesson – 6 – 116 world problems? Fluency of multiplication for multiplication 3.N.7 Lessons - 6, 7 and division facts Lessons - 5, 9 How do patterns help Use the zero property of Lessons - 11, 12 us with multiplication 3.N.8 multiplication? Coach Workbooks Develop fluency with single- How are addition and digit multiplication facts 3.N.19 Supplemental Materials multiplication related? Content Vocabulary Use a variety of strategies to Math Websites Array solve multiplication problems 3.N.20 Commutative Proper of with factors up to 12x12 Multiplication Pigs in the Pantry by Amy Denominator Use the area model, tables, Axelrod Divide patterns, arrays, and doubling 3.N.21 Division to provide meaning for Dividend multiplication The Lunch Line by Karen Divisor Berman Nagel Identity element for Demonstrate fluency and apply multiplication single-digit division facts 3.N.22 Multiple 2x2 Boo by Loreen Leedy Multiplication Use tables, patterns, halving, Multiply and manipulatives to provide 3.N.23 Multiplying by Ann Montague- Product meaning for division. Smith Quotient Week of Benchmark Set of objects Dividing by Ann Montague- Jan. 10-14 Assessment Zero property of Smith 2011 #2 multiplication (Oct., Nov., Dec. Topics) 5 Newburgh Enlarged City School District Math Grade 3 Curriculum Mapping 2010-2011 Revised August 30, 2010 Assessment Content (What Students Skills (What Students Should Be Perf. Essential Questions (Evidence) Should Know) Able To Do) Indicators Resources March How does Quizzes/Tests Fractions Develop an understanding of 3.N.10 Hands on Standards: 2011 mathematics help us to fractions as part of a whole unit Number Sense and make comparisons? Hands on Models for fractions and as parts of a collection Operations Standards Lesson 16 Assessments Representing and Use manipulatives, visual 3.N.11 Number Sense naming models, and illustrations to Coach Workbooks and Operations unit fractions name and represent unit fractions Supplemental Materials (1/2,1/3,1/4,1/5,1/6,and1/10) as part of a whole or a set of Math Websites objects Understand and recognize the 3.N.12 meaning of numerator and ** Process denominator in the symbolic Vocabulary form of a fraction should be ongoing throughout the Recognize fractional numbers 3.N.13 year as equal parts of a whole Content Vocabulary Week of Benchmark Factor March Assessment Fraction 14-18 #3 Halving 2011 (Jan., Feb. Numerator Topics) Unit Fraction 6 Newburgh Enlarged City School District Math Grade 3 Curriculum Mapping 2010-2011 Revised August 30, 2010 Essential Assessment Content (What Students Should Skills (What Students Should Be Perf. Questions (Evidence) Know) Able To Do) Indicators Resources April How does Quizzes/Tests Measurement Relate unit fractions to the face 3.M.8 Hands on Standards: 2010 mathematics help of the clock: Whole = 60 Measurement us to make Measure, compare and read minutes, ½=30 minutes, ¼=15 Lesson – 1 – pg. 134 comparisons? Hands on units of measure for: minutes Lesson 3 – pg.138 Standards Time Lesson 10- pg. 152 Assessments Tell time to the minute, using 3.M.9 When is Measurement Counting coins and dollars digital and analog clocks estimation Post- Test appropriate? Length Count and represent combined 3.M.7 coins and dollars, using Weight currency symbols ($0.00) What tools do we use to measure: Capacity Select tools and units 3.M.1 Coach Workbooks length (customary) appropriate for the weight Estimating measurements length measured Supplemental Materials capacity time Reasonableness of Use a ruler/yardstick to measure 3.M.2 Math Websites measurement to the nearest standard unit Review for NYS (whole and ½ inches, whole Grade 3 Math feet, and whole yards Assessment Measure objects, using ounces 3.M.3 and pounds Recognize capacity as an 3.M.4 attribute that can be measured Content Vocabulary May 11- NYS Grade 3 Compare capacities (e.g., Which 3.M.5 May 13 ** Process Assessment Mass, pound, ounce, cup, contains more? Which contains 2011 Vocabulary gallon, pint, quart, capacity, less?) should be inch, foot, yard, customary ongoing measurement system, standard Measure capacity, using cups, 3.M.6 throughout the and nonstandard measure, pints, quarts, and gallons year currency, currency symbols, coin Select and use standard 3.M.10 (customary) and non-standard units to estimate measurements 7 Newburgh Enlarged City School District Math Grade 3 Curriculum Mapping 2010-2011 Revised August 30, 2010 Essential Assessment Skills (What Students Perf Questions (Evidence) Content (What Students Should Know) Should Be Able To Do) Indicators Resources May/June How are factors, Quizzes /Tests Number Sense and Operations Explore equivalent fractions 3.N.14 Hands on Standards: 2011 multiples, (1/2, 1/3, 1/4) Algebra and divisors, and Hands on Exploring Equivalent Fractions Probability and products related? Standards Statistics Assessments Comparing and Ordering Unit Fractions Compare and order unit 3.N.15 Lesson 17 – pg. 48 How can Algebra and on a Number Line fractions (1/2, 1/3, 1/4) and Lesson 18 – pg. 50 mathematics be Probability and find their approximate used to model Statistics Algebra locations on a number line real world Post- Test situations? Comparing Fractions Using Symbols Use the symbols <, >, = 3.A.1 Coach Workbooks (with an d without the use of Geometry a number line) to compare Supplemental How does whole numbers and unit Materials mathematics help Congruent and Similar Figures fractions (1/2, 1/3, 1/4, 1/5, us to make 1/6, and 1/10) Math Websites comparisons? Statistics and Probability Collecting and Recording Data in Tables Formulate questions about 3.S.1 How does themselves and their mathematics help surroundings us to collect, display, analyze Fraction Fun by D.A. and interpret Collect data using 3.S.2 Adler data? observation and surveys, and record appropriately ** Process Vocabulary should be Content Vocabulary ongoing Similar figures, congruent throughout the Equivalent fractions year 8 Newburgh Enlarged City School District Math Grade 3 Curriculum Mapping 2010-2011 Revised August 30, 2010 Essential question - What we want students to think about relative to a content area. Assessments focus upon comprehension, knowledge, evaluation, synthesis, analysis and application. Assessment Evidence - Samples of ways that student learning can be measured Performance Indicator - NYSED defined descriptions of student achievement Assessment will include reference to Bloom's Verbs and Matching Assessment Types Item Maps Specific reference date of benchmarks 9