| Curriculum Map 2006-2007 | |||
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The Dwight School |
| Content | Purpose/ Objectives | Activities/ Assessments | Resources | ||
| PLACE VALUE; ADDITION AND SUBTRACTION (Week 1, 3 Weeks) |
Whole number place value Estimation Mental Math: addition and subtraction Rounding Money Addition and Subtraction of Whole Numbers Problem Solving |
-To use place value to count and write whole numbers through millions -Using tens, number lines, and comparing and ordering to estimate -Rounding from tens to greater numbers -Finding patterns in money -Counting and comparing money amounts to make change and find equivalent money amounts -Understanding Properties and Rules of Addition and Subtraction -Adding and subtracting numbers through millions, particular focus on borrowing and carrying numbers and the zeros in subtraction -To use basic fact patterns to add and subtract mentally -Problem Solving by: guess and check; choose a computation method; drawing a picture |
Homework: Chapter One and Chapter 2 Math Central Practice Book exercises; Another Look exercises; Enrichment exercises Classwork: Chapter One and Chapter 2 Math Central textbook Visual experiences with place value: play money, organizing objects in groups of ten Math tests on each chapter: use of large numbers, understanding of place value, ability to compare and order numbers, confidence and flexibility in handling money, mental math ease and agility, capability with problem solving by choosing a strategy to solve Group work for problem solving |
Math Central textbook, practice book, reteaching, and enrichment |
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| GEOMETRY (Week 4, 4 Weeks) |
Flips; Turns; Slides Angles Symmetry Quadrilaterals and other Polygons Area Congruence and Similarity Volume |
-To explore geometric patterns including flips, turns, and slides -To classify and name angles, lines, line segments, and polygons -To explore symmetry, congruence, and similarity in plane figures -To use ordered pairs to plot points on a coordinate grid -To find the area of a figure by counting squares or multiplying -To classify and name geometric solids -To find the voume of a figure by counting cubes or multiplying -To use problem-solving strategies: Act it Out and review Sept. strategies |
Homework: Chapter Five Math Central Practice Book exercises; Another Look exercises; Enrichment exercises Classwork: Chapter Five Math Central textbook Math Test on Chapter Five: shape identification, perceptual skills and ability to visualize, operations for area and volume, problem solving strategies and accuracy Group work for problem solving Architecture Design Assessment: Teacher Rubric and Student Questionnaire for incorporation of geometric shapes and concepts |
Math Central textbook, practice book, reteaching, and enrichment; Math manipulatives for work with polygons and solids; grid paper for symmetry, area |
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| COLLECTING, ORGANIZING, AND USING DATA (Week 8, 5 Weeks) |
Collecting and Recording Data and Developing a Survey Organizing and Interpreting Data in a variety of graphs: bar, line, circle, pictograph, line plot Making Predictions Comparing Probabilities Problem Solving Strategies |
- To collect, record, and interpret data in tables and graphs -To construct bar graphs, pictographs, line graphs, and circle graphs -To find the probability of a single event -To use the language of probability to compare outcomes and make predictions -Providing real-world data opportunities for students to make their own tables and graphs to interpret data -To use mental math strategies to add and subtract -To use problem solving strategies: Make a List and previously learned strategies |
Homework: Chapter Three Math Central Practice Book exercises; Another Look exercises; Enrichment exercises Classwork: Chapter Three Math Central textbook Weather Unit Activity connection: Graphing Weather data collected over week-long period Physical Health Activity connection: Collecting Data and graphing pulse rate through different physical activities Math test on chapter material: constructing and interpreting graphs-finding points and labeling axes and title; problem solving; probability scenarios Group work for problem solving |
Math Central textbook, practice book, reteaching, and enrichment; grid paper for graph work; spinners for probability |
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| MULTIPLICATION AND DIVISION (Week 13, 3 Weeks) |
Understanding Multiplication Multiplication Patterns Understanding Division Division Patterns Properties and Rules of Mult. and Div. Basic Facts for Mult. and Div. Multiples Factors Multiplying and Dividing by Multiple-Digit Numbers |
-To write and model basic multiplication facts -To write and model basic division facts -To write related multiplication and division sentences -To use properties and rules for multiplication and division -To use number patterns to find multiples and common multiples -To use number patterns to find factors and common factors -Problem Solving strategies: Make A Table and previously learned strategies -To practice for mental math ease multiplication and division facts 0-12 -To begin to develop knowledge of multiple digit multiplication and long-division |
Homework: Chapter Four Math Central Practice Book exercises; Another Look exercises; Enrichment exercises Classwork: Chapter Four Math Central textbook Timed Quick Quizzes: 5s&10s; 2s&4s&8s; 3s&6s; 7s&9s; 11s&12s Student-made Flashcards (1-12) Math Test on Chapter: mental math with mult. and div. facts (1-12); meaning of mult. and div. through arrays; factors & multiples; finding common factors and mutiples from a set of numbers; problem solving Group work for problem solving |
Math Central textbook, practice book, reteaching, and enrichment Student-made flashcards Arrays |
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| MULT./ DIV. OF MULTIPLE-DIGIT NUMBERS; FRACTIONS (Week 16, 4 Weeks) |
Estimating Products Multiplying By 1-Digit Numbers Multiplying Money Understanding Remainders Dividing By 1-Digit Numbers Long-Division Zeros in Quotients Dividing Money Finding Averages Multiplying 2-digit and 3-digit numbers Dividing 2-digit and 3-digit numbers Fraction Concepts |
MULTIPLICATION AND DIVISION -To estimate products and quotients -To multiply 2- and 3- digit numbers by 1-digit and 2-digit numbers -Multipying and Dividing Money - To divide through grouping and long-division -Averages: Mean , Median and Mode -Problem Solving Strategies: Guess and Check and previously learned strategies FRACTIONS -Fractions and Equivalence -Simplest Form of Fractions |
Homework: (MULTIPLICATION/ DIVISION BY 1-DIGIT) Chapter Six, Seven, (MULTIPLICATION/ DIVISION BY 2- and 3-DIGIT) Eleven, Twelve, and begin (FRACTIONS) Chapter Eight Math Central Practice Book exercises; Another Look exercises; Enrichment exercises Classwork: Chapters in textbook Group work for problem solving Unit Test: Multiplication and Division with Multiple-Digit Numbers; Problem Solving |
Math Central textbook, practice book, reteaching, and enrichment Arrays Key to Fractions Book One by Steven Rasmussen |
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| OPERATIONS WITH FRACTIONS (Week 20, 4 Weeks) |
FRACTIONS equivalent fractions simplest form ordering and comparing greatest common factor exploring fractional parts of a number patterns multiplying and dividing fractions begin adding and subtracting fractions |
-To write a fraction for part of a region -To investigate equivalence using models and arithmetic -To recognize fractions in simplest form and simply by dividing -To use models, number lines, and arithmetic to compare and order fractions -To compare fractions with like and unlike denominators -To use manipulatives and models to find the fractional part of a number -To find the greatest common factor between fractions for simplifying and multiplying fractions with ease -To multiply and divide fractions using arithmetic and models -To begin to add and subtract fractions with models |
Homework: Chapter Eight Math Central Practice Book exercises; Another Look exercises; Enrichment exercises; packet pages in Steve Rasmussen texts Classwork: Chapters in textbook; lessons following Steve Rasmussen packets; equivalent fraction game Group work for problem solving Unit Tests: fraction concepts/ multiplying and dividing fractions |
Math Central textbook, practice book, reteaching, and enrichment manipulatives Key to Fractions Book One & Book Two (begin book 3) by Steven Rasmussen |
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| ADDING AND SUBTRACTING FRACTIONS/ MIXED NUMBERS (Week 24, 3 Weeks) |
FRACTIONS Adding and Subtracting Fractions Lowest Common Denominator Mixed Numbers Fraction-Based Word Problems |
-To use prior knowledge to understand the concept of adding and subtracting fractions -To investigate adding and subtracting fractions with unlike denominators -To decide whether to use mental math, pencil and paper arithmetic, or a picture to solve fraction-based word problems -To identify mixed numbers -To add and subtract mixed numbers -To find equivalent improper fractions from mixed numbers and vice versa -To rename sums and differences in simplest form |
Homework: Chapter Nine Math Central Practice Book exercises; Another Look exercises; Enrichment exercises; packet pages in Steve Rasmussen texts Classwork: Chapters in textbook; lessons following Steve Rasmussen packets; fraction quilt exercise Group work for problem solving Unit Tests: adding and subtracting fractions/ mixed numbers |
Math Central textbook, practice book, reteaching, and enrichment manipulatives Key to Fractions Book Three & Book Four by Steven Rasmussen |
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| DECIMALS AND PERCENTS (Week 27, 3 Weeks) |
DECIMALS Tenths Hundredths Place Value Comparing and Ordering Using Rounding to Estimate Adding Subtracting PERCENTS Concept As decimals As fractions 100% Double and Triple Estimating |
-To write and model decimals in tenths and hundredths -To relate decimals to fractions and mixed numbers -To use place value to count and write decimals in word, table, and standard format -To compare and order decimals through hundredths -To use rounding to estimate decimal and money amounts -To add and subtact up to three decimals through hundredths -To understand and apply the relationship between percents, decimals and fractions -To name double and triple through percents -To estimate in percents |
Homework: Chapter Eleven Math Central Practice Book exercises; Another Look exercises; Enrichment exercises; packet pages in Steve Rasmussen text Classwork: Chapters in textbook; lessons following Steve Rasmussen packets Group work for problem solving Unit Tests: Decimals and percents |
Math Central textbook, practice book, reteaching, and enrichment Percents Concepts by Steven Rasmussen |
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| MEASUREMENT (Week 30, 5 Weeks) |
MEASUREMENT inch, foot, yard, mile perimeter area review capacity cup, pint, quart, gallon ounce, pound, ton centimeter, millimeter, decimeter, meter, kilometer liter, milliliter gram, kilogram temperature elapsed time |
-To estimate and measure length using both metric and customary English units -To find the perimeter of a figure by adding -To review how to find the area of a figure by multiplying -To esimate and measure capacity, weight, or mass using appropriate units -To find equivalence for metric and customary units -To find Fahrenheit or Celsius temperature -To determine elapsed time between two given times -To read a calendar -To solve word problems with measurement situations -To justify why an answer is reasonable |
Homework: Chapter Ten Math Central Practice Book exercises; Another Look exercises; Enrichment exercises; packet pages in Steve Rasmussen text Classwork: Chapters in textbook; lessons following Steve Rasmussen packets Group work for problem solving Unit Test: measurement skills |
Math Central textbook, practice book, reteaching, and enrichment English Measurement Concepts by Steven Rasmussen |
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| MULTIPLICATION AND DIVISION BY TWO-DIGIT NUMBERS (Week 35, 2 Weeks) |
MULTIPLICATION BY TWO-DIGIT/ THREE-DIGIT NUMBERS Estimating Products Multiplying by Multiples of Ten Using Array Diagrams Multiplying Two-Digit Numbers Multiplying Three-Digit Numbers Multiplying Money DIVIDING BY TWO-DIGIT/ THREE-DIGIT NUMBERS (ADVANCED MATERIAL) Estimating Quotients Review One-Digit Divisors Two-Digit Divisors Multiple-Digit Divisors Dividing Money |
MULTIPLICATION -To use patterns to find multiples of 10, 100, and 1000 -To estimate large products -To multiply 2- and 3- digit numbers by 2- and 3- digit numbers -To use array diagrams to help visualize multiplication with 2-digit numbers -To multiply money amounts with proper placement of the decimal point -To use the grouping property to multiply three factors -To use a variety of strategies learned this year to solve word problems DIVISION -To use patterns to divide multiples of 10, 100 and 1000 -To estimate large quotients -To divide two-digit numbers by two-digit numbers -To divide 3- and 4-digit numbers by 2-digit numbers -To divide money |
Homework: Chapter Twelve and Thirteen Math Central Practice Book exercises; Another Look exercises; Enrichment exercises; packet pages in Steve Rasmussen text Classwork: Chapters in textbook; using graph paper for proper place value when multiplying large numbers Group work for problem solving |
Math Central textbook, practice book, reteaching, and enrichment |
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Updated: Friday, January 05, 2007 |
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