# 2 nd Grade Math Curriculum Map

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1 .A.,.M.6,.M.8,.N.5,.N.7 Organizing Data in a Table Working with multiples of 5, 0, and 5 Using Patterns in data tables to make predictions and solve problems. Solving problems involving money. Using a Calendar to measure the passage of time. Finding the value of a collection of nickels, dimes and quarters. Connecting Math to real-world situations: using coins and a calendar Unit : Welcome to Second Grade Lesson : Hundreds of Coins.S.,.M.6,.M.8,.N.5,.N.7 Establishing social norms for cooperation and discourse. Collecting and organizing data in a table. Making and interpreting bar graphs. Using data to solve problems. Solving problems in more than one way. Collecting mathematics to real-world events: collecting data on students birth months. Unit : Welcome to Second Grade Lesson: Birth Months.N.5,.N.7 Using strategies to add and subtract. Solving problems in more than one way. Adding and Subtracting using manipulatives and pictures. Explaining problem-solving strategies. Exploring different types of addition strategies. Unit : Welcome to Second Grade Lesson : Animals Galore Page of 8 Rondout Valley Central School District Last Updated June, 005

2 .N.5,.N.7 Writing number sentences. Partitioning numbers into two and three parts. Adding using manipulatives and pictures. Solving addition problems and explaining strategies. Solving problems involving money. Solving problems in more than one way. Exploring different types of addition problems. Unit : Welcome to Second Grade Lesson : Animal Trading Cards DPP Item I- Happy Birthday. M.6,.M.8, N.5,.N.7 Using math fact strategies to add. Explaining addition strategies. Writing addition and subtraction number sentences. Representing numbers up to fifteen using ten frames. Unit : Welcome to Second Grade Lesson 5: Addition Facts Strategies DPP Item O- More Animals M.6,.M.8,.N.5,.N.7 Finding more than one way to describe patterns in designs. Adding using manipulatives and pictures. Writing number sentences for addition situations. Connecting geometry and arithmetic. Unit : Exploring Numbers Lesson : Tile Designs Miko s Tile Design Activity Page M.6,.M.8.N.5,.N.7 Supplemental Lesson: Practice doing the 00 chart game with Just +, -, +0, -0 (they did this in st grade) before moving to Lesson with +9 and - Page of 8 Rondout Valley Central School District Last Updated June, 005

3 .N8,.N.,.A.,.A.,.N.,.N.5,.N.9,.N.,.N.6 Identifying, describing, and using patterns on the 00 Chart Skip counting by twos, fives, and tens. Identifying even and odd numbers Adding and subtracting using the 00 chart. Unit : Exploring Numbers Lesson : Exploring the 00 Chart.S.,.N.,.N.,.N.9,.A. Collecting, organizing, graphing, and analyzing data. Solving problems in more than one way. Using data to solve problems and make predictions. Interpreting bar graphs. Unit : Exploring Numbers Lesson : My Favorite Mr. Hart s Class Activity Pages.M.6, M.8,.N,.N.,.N.5,.N.7,.N.6 Subtracting using counters Using the strategies of counting up. Counting back, and using related addition facts to solve subtraction problems. Explaining subtraction strategies. Solving problems in more than one way. Exploring different types of subtraction problems. Unit : Exploring Numbers Lesson 5: Subtraction Facts More Fun at the Carnival.S.,.G.,.N. Sorting and classifying buttons. Communication sorting strategies. Unit : Buttons Lesson : All Sorts Of Buttons How Would You Sort Them? Activity Page Page of 8 Rondout Valley Central School District Last Updated June, 005

4 M.6, M.8, N5,.N.7,.S..S.,.S.5,.N.5,.N.6,.N. Estimation the number of objects in a group. Grouping and counting objects. Collecting and organizing data in a table. Making and interpreting bar graphs. Using data to make predictions and solve problems. Unit : Buttons Lesson : A Handful of Buttons.S.,.G. Sorting objects by size. Collecting and recording data in a table. Making and interpreting bar graphs. Unit : Buttons Lesson : Button Sizer.N.5,.N.7 Developing fluency with the addition facts. Practicing the addition facts using flash cards. Exploring the relationship between addition and subtraction. Unit : Buttons Lesson : Addition With Triangle Flash Cards N.5,.N.7,.S.,.S.,.S.5,.M.,.M.,.M.0 Measuring height and arm span using a nonstandard unit of measure (links). Making and interpreting bar graphs. Using patterns in data to make predictions. Collecting and organizing data in a table. Connecting mathematics and science to realworld events: measuring arm spans and heights. Unit : Working With Data Lesson :High Wide and Handsome.S.,. S.,.S.5,.M. Determining an appropriate scale for a graph. Making and interpreting bar graphs. Unit : Working With Data Lesson : Are They Related? Are They Related? Page of 8 Rondout Valley Central School District Last Updated June, 005

5 ..,.M.0,.N. Estimating length. Measuring using nonstandard units. Reporting length using numbers and units. Unit : Working With Data Lesson : When Close is Good Enough DPP Item M- Addition Facts Quiz: Group B Could Be or Crazy Activity Page.N.8, N,.N5, N.7,.M.,.M.,.M.0 Investigating number relationships: placing numbers in intervals Developing number sense for numbers up to 00. Estimating length Measuring length using nonstandard units Grouping and counting objects by tens and ones Unit 5: Going to Great Lengths Lesson : The Long and Short of It Interval.A.,.M.,.N.5,.N.9 Representing numbers using a number line Comparing and ordering numbers using a number line Unit 5: Going to Great Lengths Lesson : Exploring The Number Line Larger than Smaller than My Own Number Line.N.8,.N..M.,.M.0 Estimating length Measuring length in centimeters and meters Unit 5: Going to Great Lengths Lesson : Centimeters and Meters Centimeter Meter Standard unit of measurement Tony at the Ballpark Page 5 of 8 Rondout Valley Central School District Last Updated June, 005

6 .M.6,.M.8.S.,.S.,.S.5,.M.0,.N.9 Collecting, organizing, and analyzing data in an investigation Estimating distances Measuring length in centimeters Identifying the median of three numbers Recognizing the role of a fixed variable in an investigation Connecting mathematics and science to real life events Unit 5: Going to Great Lengths Lesson : Rolling Along in Centimeters Franco s Data.5,.N.7,.N.6,.N.7,.N., Estimating the number of objects in a group. Grouping and counting a collection of objects by ones, tens, and hundreds. Representing numbers using connecting cubes, place value mats, and place value recording sheets. Unit 6: Putting Numbers in Their Places Lesson : Pasta Place Value Hundreds Ones Place value Tens.M.6,.N.5,.N.7.M.9,.N.5,.N6,.N.7,.N. Grouping and counting by ones, tens, and hundreds. Representing two-and three-digit numbers using connecting cubes, base-ten pieces, place value charts, and symbols. Unit 6: Putting Numbers in Their Places Lesson : Every Number Has Its Place Base-ten pieces Bit Flat Place value Skinny What s Another Way?.S.,.N.5,.N.6,.N. Exploring the idea that the position of a digit determines its value. Representing three-digit numbers using baseten pieces, place value charts, and symbols. Unit 6: Putting Numbers in Their Places Lesson : Take Your Places Please Page 6 of 8 Rondout Valley Central School District Last Updated June, 005

7 Exploring volumes of different-shaped containers. Measuring volume using nonstandard units. Representing the elements of a laboratory investigation in a drawing. Collecting, organizing, graphing, and analyzing data. Applying grouping and counting skills. Solving addition and subtraction problems involving volume. Unit 6: Putting Numbers in Their Places Lesson 5: Marshmallows and Containers Volume DPP Item R- Addition Facts Quiz: Group D.M.6,.M.8.M. Using connecting cubes to build -dimensional shapes. Recognizing when two -dimentional shapes are the same. Drawing simple cube models. Unit 7: Building With Cubes Lesson : Cubes and Plans Cube model Same model.n.8,.n..m.9 Measuring volume by counting cubic units. Translating between models and cube model plans. Writing number sentences to express the volume of cube models. Unit 7: Building With Cubes Lesson : Cube Model Plans Cube model plan Cubic units Height Volume.M.6,.M.8.N.6 Translating between a cube model and its cube model plan. Finding the volume of a cube model in cubic units. Communication mathematical concepts in writing. Unit 7: Building With Cubes Lesson : Architects in Cubeland Memo What s the Volume? Page 7 of 8 Rondout Valley Central School District Last Updated June, 005

8 Constructing models from -dimensional drawings. Matching cube model plans with the appropriate -dimensional drawings. Writing number sentences to calculate the volume of -dimensional figures. Unit 7: Building With Cubes Lesson : D Building Plans -dimensional drawing Matching Plans with Models Matching Plans with Models.M.9,.N. Building models with plans and a specified number of cubes. Using data from a cube model s floor plan, height, and volume to solve a problem. Solving problems that have multiple solutions. Unit 7: Building With Cubes Lesson 5: Cube Model Problems Floor plan DPP Item M- Addition Facts Quiz: Group E Give Me a Clue Activity Page.N.5, N.7,.M.,. M.5,.M.9,.N.,.N.6 Zeroing the two-pan balance. Comparing an ordering the mass of objects using a two-pan balance. Exploring the idea that mass depends on the material as well as the size of an object. Unit 8: Multiple Masses Lesson : Putting Masses in Order Two-pan balance Mass Analyzing the Masses of Two Blocks.M.,. M5 Measuring the mass of objects in grams using a two-pan balance and standard masses. Solving computation problems involving mass. Collecting and organizing data. Making and interpreting a bar graph. Connecting mathematics and science to realworld situations: measuring mass. Unit 8: Multiple Masses Lesson : Measuring Mass Gram DPP Item I- Addition Facts Quiz: Group F Page 8 of 8 Rondout Valley Central School District Last Updated June, 005

9 .M.6,.M.8,.N.8,.N.7,.M.0,.N.6,.N.7,.N6. Estimating the number of objects in a set Estimating sums Using estimation to determine the reasonableness of an answer Unit9: Ways of Adding Larger Numbers Lesson : In The Ballpark Benchmark Estimation Number sense Reasonablene ss.s.,.n.6,.n.7,.n.6 Communicating solution strategies for adding multidigit numbers Developing mental math strategies Unit 9: Ways of Adding Larger Numbers Lesson : An Addition Seminar Seminar.M.9,.N.6,.N.6 Exploring addition through the use of base-ten pieces Estimating sums Unit 9: Ways of Adding Larger Numbers Lesson : Exploring With Base Ten Pieces Building Addition Problems Page 9 of 8 Rondout Valley Central School District Last Updated June, 005

10 .M.5,.N.6 Translating between representations of addition (base-ten pieces and symbols) Solving problems in more than one way Understanding place value Unit 9: Ways of Adding Larger Numbers Lesson 5: Adding With Pencil and Paper Regrouping.N.8,.N..M.7,. N.6 Solving addition problems using calculators Estimating sums using benchmark numbers Using estimation to determine the reasonableness of results Unit 9: Ways of Adding Larger Numbers Lesson 6: Snack Shop Addition DPP Item P Addition Facts Quiz: Group G Many Ways to Solve a Problem.M.9, Supplemental on Unit Telling Time.M.6,.M.7,.M.8 Supplemental unit on Money Skills.M., M.5 Reading and interpreting a variety of scales. Unit 0: Exploring Volume Lesson : Reading Scales Cubic centimeter Graduated Cylinder Milliliter Mph (miles per hour) Scale Speedometer Units of measurement Understanding Scales Activity Page Page 0 of 8 Rondout Valley Central School District Last Updated June, 005

11 Unit 0: Exploring Volume Lesson : Reading Graduated Cylinders Reading graduated cylinders. Understanding what a meniscus is an how to read it. Meniscus.N.5,.N.7 Reading graduated cylinders. Filling a graduated cylinder to given level. Unit 0: Exploring Volume Lesson : Filling Graduated Cylinders DPP Item E Addition Facts.M.6,.M.8.N.8,.N.,.N.9 Measuring volume using cubic centimeters. Measuring volume by displacement using a graduated cylinder. Collecting, organizing, graphing, and analyzing data. Comparing strategies for finding the volume of objects. Unit 0: Exploring Volume Lesson : Measuring Volume Volume DPP Item K- Addition Facts Inventory: Groups A, B, C, and D Volume Math Check Activity Page Room for Ripley Activity Page Page of 8 Rondout Valley Central School District Last Updated June, 005

12 .N.5,.N.7 Solving computational problems involving volume. Communicating solutions and solution strategies verbally and in writing. Unit 0: Exploring Volume Lesson 5: Problem Solving With Volume DPP Item M- Addition Facts Inventory: Groups E, F, and G.N.7 Using Triangle Flash Cards to develop fluency with the subtraction facts. Using fact families to learn subtraction facts. Unit : Ways of Subtracting Larger Numbers Lesson : Subtraction With Triangle Flash Cards Fact family Related Subtraction fact.n.,.n.7,. N.6 Exploring and describing strategies for subtracting two-digit numbers. Unit : Ways of Subtracting Larger Numbers Lesson : Subtraction Seminar.N.7,.N.6 Representing subtraction using base-ten pieces. Subtracting two-digit numbers using base-ten pieces. Understanding place value. Estimating differences. Solving problems in more than one way. Unit : Ways of Subtracting Larger Numbers Lesson : Base Ten Subtraction Difference DPP Item K-Is It Reasonable? Ways to Subtract.N.7,. M.7,.M.9,.N.,. N.6 Solving two-digit subtraction problems using bas-ten pieces and paper and pencil. Translating between representations of subtraction problems (base-ten pieces and symbols). Understanding place value. Solving problems in more than one way. Unit : Ways of Subtracting Larger Numbers Lesson 5: Paper and Pencil Subtraction Many Ways to Find the Answer Page of 8 Rondout Valley Central School District Last Updated June, 005

13 .N.7,. N.0 Representing fractions using paper folding, words, and symbols. Comparing and ordering halves, thirds, and fourths. Partitioning shapes into halves, thirds, and fourths. Unit : Fractions: The Whole Idea Lesson: Folding Fractions Fourth Fraction Half Third.M6,.N.8,.N.7,.G.,.N.9 Exploring addition of fractions. Translating between different representations of fractions. Unit : Fractions: The Whole Idea Lesson : Fraction Puzzles Puzzle Proof.N.7,. G. Recognizing multiple representations of the same fraction. Comparing and ordering fractions. Unit : Fractions: The Whole Idea Lesson : Fraction Games DPP Item M- Subtraction Facts Quiz ; Group D DPP Item N- Subtraction Facts Quiz : Group D How Are All These Alike?.N.7 Supplemental Fraction Lessons Needed.N.7,.N.0,.N. Dividing a set of objects into equal-size groups and counting leftovers (remainders). Represent division problems using manipulatives and pictures. Solving division problems using manipulatives and pictures and explaining the reasoning. Unit : Grouping, Sharing, and Leftovers Lesson : Grouping Numbers With Remainders Leftover Remainder Page of 8 Rondout Valley Central School District Last Updated June, 005

14 .N.7,.N.,.N.0.N. Solving multiplication and division problems using manipulatives and pictures. Representing multiplication and division problems with manipulatives and pictures. Communicating solution strategies. Unit : Grouping, Sharing, and Leftovers Lesson : In The Zoo Kitchen Zoo Kitchen Problems.N.7,.M.8,.N.,.N.,.N.0,.N. Exploring the relationship between repeated addition and multiplication. Writing multiplication sentences. Communicating solution strategies. Solving multiplication, addition, and subtraction problems. Unit : Grouping, Sharing, and Leftovers Lesson : Zoo Stickers and Stamps Product Row DPP Item H- Zoo Stickers.N.7,.N.,.N.,.N.9,.N.0,.N. Representing division problems using manipulatives, pictures, and words. Solving division problems using manipulatives and pictures and explaining reasoning. Interpreting remainders. Unit : Grouping, Sharing, and Leftovers Lesson 5: Zoo Lunches Leftover Remainder.N.7,.N.,.N.0,.N. Creating, illustrating, and solving multiplication and division problems. Unit : Grouping, Sharing, and Leftovers Lesson 6: Writing and Solving Problems (OPTIONAL) DPP Item M- Subtraction Facts Quiz: Group B DPP Item N- Subtraction Facts Quiz: Group B Page of 8 Rondout Valley Central School District Last Updated June, 005

15 .N.7,.G.,.G. Constructing proportional models (skeletal outlines) of the pattern block shapes. Comparing and contrasting properties of pattern block shapes. Describing shapes using their properties (number of sides, types of corners, lengths of sides). Unit 5: Geometry in Motion Lesson : Getting To Know Shapes Corners Hexagon Parallel Rectangle Rhombus Right angle Sides Square Trapezoid Triangle.N.7,.G.,.G. Sorting two-dimensional shapes using their properties. Identifying and describing two-dimensional shapes using their properties. Unit 5: Geometry in Motion Lesson : Getting To Know More About Shapes Journal Prompt.N.7,.N.,.G.,.G.5 Using slides, flips, and turns to move shapes. Unit 5: Geometry in Motion Lesson : Prof. Peabody Visits Flatville Flips Slides Turns DPP Item E- Addition Kiddie Rectangle Visits Grandma.N.7,.G.,.G.,.G.,.G.,.G.5,.G.6 Exploring slides, flips, and turns using pattern blocks. Exploring line symmetry and turn (rotational) symmetry. Unit 5: Geometry in Motion Lesson : Symmetry Line symmetry Turn (rotational) symmetry Page 5 of 8 Rondout Valley Central School District Last Updated June, 005

16 .N.7,.N.9,.G.,.G.,.G.,.G.,.G.5,.G.6 Using slides, flips, and turns to design geometric quilt blocks. Unit 5: Geometry in Motion Lesson 5: Quilt Blocks DPP Item J- Subtraction Facts Quiz: Group E.N.7,.N.,.M.,.M. Measuring area using nonstandard units. Measuring area in square centimeters. Reporting area measurements using a number and a unit. Unit 6: Measuring Area Lesson : Introducing Area Measurement Area Square centimeters (sq cm) Counting Square Centimeters.N.7,.N.5,.G. Measuring area in square centimeters using halves and fourths. Finding more than one shape with a given area. Reporting area measurements using a number and a unit (sq cm). Unit6: Measuring Area Lesson : Counting out Areas Unit DPP Item D- Pennies.N.7,.M.,.M. Measuring length, width, and area using centimeters and square centimeters. Reporting length and area measurements using a number and a unit (cm or sq cm). Unit6: Measuring Area Lesson : Length, Width, and Area Area Length Width.N.7,.N.,.G. Recognizing that different shapes can have the same area. Measuring area by counting whole and fractional parts of square centimeters. Reporting area measurements using a number and a unit (sq cm). Unit6: Measuring Area Lesson : Area Riddles (Optional) Area Questions Page 6 of 8 Rondout Valley Central School District Last Updated June, 005

17 .N.7,.N.5,.A.,.G. Measuring area using nonstandard units. Measuring area by counting whole and half square units. Recognizing that different shapes can have the same area. Reporting area measurements using a number and a unit (square units). Unit 6: Measuring Area Lesson 5: Area an the Geoboard Square Unit DPP Item K- Subtraction Facts Quiz: Group F More Geoboard Puzzles s.n.7,.m.,.g.,.n. Describing the location of objects relative to Mr. Origin using direction (left or right) and distance on a number line. Locating objects on a map using direction (left or right) and distance. Measuring length in centimeters. Unit 8: Mapping the Rainforest Lesson : Meet My. Origin and the Origin Map Above Axis Back Below Front Left Origin (reference point) Right Where Are They? Activity Page.N.7,.S. Translating between a map and the actual setting. Understanding relative size and relative position on a map. Placing objects on a map using direction (left or right, front or back). Making, reading, and interpreting maps. Connecting mathematics and real world situations: making a map. Unit 8: Mapping the Rain Forest Lesson : Mapping Our World Page 7 of 8 Rondout Valley Central School District Last Updated June, 005

18 .N.7,.M. Making a map consisting of two perpendicular axes. Using direction and distance to locate objects relative to Mr. Origin. Measuring length in centimeters. Unit 8: Mapping the Rain Forest Lesson : Rain Forest Trails Front/Back Axis Left/Right Axis.N.7,.S.,.M. Describing the location of an object relative to Mr. Origin using direction (left or right, front or back) and distance. Measuring length in centimeters. Making, reading, and interpreting maps. Adding and subtracting multidigit numbers. Unit 8: Mapping the Rainforest Lesson : Mr. Origin Left/Right or Front/Back Map scale Mr. Origin Map and Data Tables Activity Pages End of the Year Assessment: See Unit 0 Page 8 of 8 Rondout Valley Central School District Last Updated June, 005

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