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1 1 of 5 9/22/ :03 AM Map: Pearson's Math Grade Type: Projected Grade Level: 4 School Year: Author: Jessica Parrella District/Building: Minisink Valley CSD/Intermediate School Created: 10/02/2008 Last Updated: 10/02/2008 This map copied from: Pearson's Math Grade by Florence D'Angelo << Refresh Map Content << Printable Version How does placement of a digit affect its value in a number up to the millions? Place Value and Money *write to the *reading and writing through millions period *identify place value patterns *compare and order *round *make change *evaluate appropriateness of answers Chapter test (form A or B, or MST3-4.N.4 MST3-4.N.5 MST3-4.N.3 MST3-4.N.26 MST3-4.N.1 MST3-4.N.2 MST3-4.N.3 MST3-4.M.8 How can you add and subtract four-digit whole and use variables to solve addition and subtraction problems? Adding and subtracting whole and money *compute sums and differences mentally *estimate sums and differences *compare over- and underestimates *adding whole and money *finding sums with column addition *subtract whole and money *choosing a computation method *finding patterns in addition and subtraction *translating words to *matching words and number *evaluating *solving addition/subtraction equations MST3-4.A.1 MST3-4.A.5 MST3-4.N.14 What strategies can be implemented to write, evaluate, and solve multiplication and division equations? Multiplication and division concepts and facts *evaluate meanings for multiplication *Identify patterns to find products using various *create tables to solve *recognize different representations of division *read and write multiplication and division word stories *solve multiple-step word problems *write and evaluate *locate the rule presented in a table *create and complete input/output tables *solve multiplication and division equations Chapter Test ( Form A or B or ExamView) MST3-4.A.5 MST3-4.N.16 MST3-4.N.13 MST3-4.N.17 MST3-4.N.13 What types of representations and interpretations can be used to display data and graphs by using central tendencies and range? Time, data, and graphs *determine elapsed time *write comparison statements *determine past and future dates using calendars *read, interpret, and create pictographs, line plots, line graphs, and bar graphs *graphing ordered pairs *interpret data displayed in tables and tally charts to solve problems *determine median, mode, and range MST3-4.M.9 MST3-4.M.10 MST3-4.S.1 MST3-4.S.5 MST3-4.S.6 MST3-4.S.2 MST3-4.S.4

2 2 of 5 9/22/ :03 AM How can students develop multiplying a multi-digit number by a 1-digit number and multiply 3-digit factors? Multiplying by one-digit *multiply by tens, hundreds, or *round and estimate products *mentally multiply two-digit by one-digit *make arrays with place value blocks to find products *multiply two- and three-digit by one-digit *solve using various strategies *identify appropriate computation methods *calculate products involving amounts of money *demonstrate an understanding of commutative and associative properties MST3-4.N.1 MST3-4.N.6 MST3-4.N.18 MST3-4.N.20 How do you use a variety of strategies to multiply a 2- or 3-digit number by a 2-digit number? Multiplying by a two-digit number *mentally multiply any two-digit number by a multiple of tens, hundreds, or *estimate products of larger *create an organized list of information in a problem *choose an appropriate computation method to deduce a product *compute and estimate products involving money amounts MST3-4.N.19 How does the knowledge of basic one-step division help to master two-step division with one- or two-digit division? Dividing *divide multiples of ten using zero principle *estimate quotients *determine and define remainders *compute equations with two-digit quotients using manipulatives *interpret remainders in problem solving situations *coorelate algebraic number sentences to *determine whether one number is divisible by another using divisibility rules *estimate quotients with two-digit divisors using compatible and rounding How do you identify solid figures and the plane figures that are embedded within them? How do you use formulas to find area, perimeter, and volume? Geometry and Measurement *determine different dimensions of plain and solid figures *identify and classify polygons *classify triangles and quadrilaterals by sides and angles *Identify congruent figures based on characteristics *determine translation, reflection, or rotation of a figure *create symmetrical figures *determine lines of symmetry *determine & construct similar figures *describe similarities and differences in geometric figures *deduce perimeter and area of polygons using a variety of strategies MST3-4.G.2 MST3-4.G.3 MST3-4.G.1 MST3-4.G.5 MST3-4.G.6 MST3-4.G.7 MST3-4.G.8 MST3-4.G.1 How do you compare and order? Fraction Concepts *compare and order using greater than, less than and equal What logical reasoning strategies can be used to estimate, measure, draw and compare and units? Fraction operations and Customary Measurement * use logical reasoning to make conclusions * estimate and measure length using appropriate customary units * measure and draw lengths to the nearest one half, one MST3-4.M.1 MST3-4.M.2 MST3-4.M.3

3 3 of 5 9/22/ :03 AM quarter and one eighth * compare using of length capacity and weight * determine whether to estimate or give exact answer with given information * review and apply key concepts, skills and strategies to real world problems How do you measure metric length, capacity and mass? Metric measurement * solve a variety of leveled * estimate and measure length, capacity and mass in metric units * compare units of length capacity and mass to equivalent units * write to explain a prediction when solving * read temperatures above and below zero using fahrenheit and celcius * apply key concepts, skills and previously learned strategies MST3-4.S.5 MST3-4.M.1 MST3-4.M.3 MST3-4.M.4 MST3-4.M.5 MST3-4.M.6 MST3-4.M.7 What strategies are used to solve with missing or extra information? Graphing and Probability * translating words to equations * identify extra or missing information * work backwards to solve How does placement of a digit affect its value in a number up to the millions? Place value and money * estimate totals made up of large * identify money amounts in dollars, pennies, dimes, ones, tenths and hundreths * finding money amounts using the fewest number of coins * draw decimals using grids How do you use a variety of strategies to multiply a 2- or 3-digit number by a 2-digit number? Multiplying by 2-digit * use arrays to find products involving 2 digit factors * multiply 2-digit factors * multiply 2 digit by 3 digit MST3-4.N.19 How does the knowledge of basic one-step division help to master two-step division with one- or two-digit division? Dividing * divide 3 digit by 1 digit * divide with zero in the quotient * compute and estimate quotients involving money amounts * find the average of a set of How do you identify solid figures and the plane figures that are embedded within them? How do you use formulas to find area, perimeter, and volume? Geometry and Measurement * given lines, parts of lines and angles identify the important geometric terms * count cubic units or apply a formula to find the volume MST3-4.G.2 How do you apply fraction concepts? Fraction Concepts * identify and draw * identify fractional parts of sets * locate and name on a number line * estimate on a number line * draw pictures for problem solving * identify and find equivalent * write in simplest form * compare with common denominators * read and write mixed and improper MST3-4.N.7 MST3-4.N.9 MST3-4.S.6

4 4 of 5 9/22/ :03 AM * compare mixed * read a circle graph * explain estimates What logical reasoning strategies can be used to estimate, measure, draw and compare and units? Fraction operations and * estimate fraction sums * add and subtract with like and unlike denominators * choose the appropriate customary unit of capacity * estimate and measure capacity MST3-4.N.23 How do you add and subtract decimals? Decimals and metric measurement * find decimals and equivalent * write decimals in tenths and hundreths * write, compare and order decimals * round decimals * estimate decimals, sums and differences * use grids to display decimal operations * add, subtract, and estimate decimal mixed and whole MST3-4.N.10 MST3-4.N.12 How can probability be written as a fraction and be used for making predictions? Graphing and Probability * list probability of an event * make predictions based on probability Key to Standards used in this Map MST3-4.N.1 [2 occurrences] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Systems] - Performance Indicator 4.N.1 - skip count by 1,000 s [Grade 4] MST3-4.N.2 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Systems] - Performance Indicator 4.N.2 - read and write whole to 10,000 [Grade 4] MST3-4.N.3 [2 occurrences] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Systems] - Performance Indicator 4.N.3 - compare and order to 10,000 [Grade 4] MST3-4.N.4 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Systems] - Performance Indicator 4.N.4 - understand the place value structure of the base ten number system: 10 ones = 1 ten, 10 tens = 1 hundred, 10 hundreds = 1 thousand, 10 = 1 ten thousand [Grade 4] MST3-4.N.5 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Systems] - Performance Indicator 4.N.5 - recognize equivalent representations for up to four digits and generate them by decomposing and composing [Grade 4] MST3-4.N.6 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Systems] - Performance Indicator 4.N.6 - understand, use, and explain the associative property of multiplication [Grade 4] MST3-4.N.7 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Systems] - Performance Indicator 4.N.7 - develop an understanding of as locations on number lines and as divisions of whole [Grade 4] MST3-4.N.9 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Systems] - Performance Indicator 4.N.9 - use concrete materials and visual models to compare and order unit or with the same denominator (with and without the use of a number line) [Grade 4] MST3-4.N.10 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Systems] - Performance Indicator 4.N.10 - develop an understanding of decimals as part of a whole [Grade 4] [3 occurrences] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Systems] - Performance Indicator 4.N.11 - read and write decimals to hundredths, using money as a context [Grade 4] MST3-4.N.12 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Systems] - Performance Indicator 4.N.12 - use concrete materials and visual models to compare and order decimals (less than 1) to the hundredths place in the context of money [Grade 4] MST3-4.N.13 [2 occurrences] - MST Standard 3 - Number Sense and Operations Strand - Students will understand, multiple ways of representing, relationships among, and number systems. [Number Theory] - Performance Indicator 4.N.13 - develop an understanding of the properties of odd/even as a result of multiplication [Grade 4] MST3-4.N.14 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand meanings of operations and procedures, and how they relate to one another. [Operations] - Performance Indicator 4.N.14 - use a variety of strategies to add and subtract up to 10,000 [Grade 4] [12 occurrences] - MST Standard 3 - Number Sense and Operations Strand - Students will understand meanings of operations and procedures, and how they relate to one another. [Operations] - Performance Indicator 4.N.15 - select appropriate computational and operational methods to solve problems [Grade 4] MST3-4.N.16 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand meanings of operations and procedures, and how they relate to one another. [Operations] - Performance Indicator 4.N.16 - understand various meanings of multiplication and division [Grade 4] MST3-4.N.17 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand meanings of operations and procedures, and how they relate to one another. [Operations] - Performance Indicator 4.N.17 - use multiplication and division as inverse operations to solve problems [Grade 4] MST3-4.N.18 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand meanings of operations and procedures, and how they relate to one another. [Operations] - Performance Indicator 4.N.18 - use a variety of strategies to multiply two-digit by one-digit (with and without regrouping) [Grade 4] MST3-4.N.19 [2 occurrences] - MST Standard 3 - Number Sense and Operations Strand - Students will understand meanings of operations and procedures, and how they relate to one another. [Operations] - Performance Indicator 4.N.19 - use a variety of strategies to multiply two-digit by two-digit (with and without regrouping) [Grade 4]

5 5 of 5 9/22/ :03 AM MST3-4.N.20 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand meanings of operations and procedures, and how they relate to one another. [Operations] - Performance Indicator 4.N.20 - develop fluency in multiplying and dividing multiples of 10 and 100 up to 1,000 [Grade 4] MST3-4.N.23 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will understand meanings of operations and procedures, and how they relate to one another. [Operations] - Performance Indicator 4.N.23 - add and subtract proper with common denominators [Grade 4] [3 occurrences] - MST Standard 3 - Number Sense and Operations Strand - Students will understand meanings of operations and procedures, and how they relate to one another. [Operations] - Performance Indicator 4.N.24 - express decimals as an equivalent form of to tenths and hundredths [Grade 4] MST3-4.N.26 [1 occurrence] - MST Standard 3 - Number Sense and Operations Strand - Students will compute accurately and make reasonable estimates. [Estimation] - Performance Indicator 4.N.26 - round less than 1,000 to the nearest tens and hundreds [Grade 4] [4 occurrences] - MST Standard 3 - Number Sense and Operations Strand - Students will compute accurately and make reasonable estimates. [Estimation] - Performance Indicator 4.N.27 - check reasonableness of an answer by using estimation [Grade 4] MST3-4.A.1 [1 occurrence] - MST Standard 3 - Algebra Strand - Students will represent and analyze algebraically a wide variety of problem solving situations. [Variables and Expressions] - Performance Indicator 4.A.1 - evaluate and express relationships using open sentences with one operation [Grade 4] [4 occurrences] - MST Standard 3 - Algebra Strand - Students will perform algebraic procedures accurately. [Equations and Inequalities] - Performance Indicator 4.A.2 - use the symbols <, >, =, and? (with and without the use of a number line) to compare whole and unit and decimals (up to hundredths) [Grade 4] [3 occurrences] - MST Standard 3 - Algebra Strand - Students will perform algebraic procedures accurately. [Equations and Inequalities] - Performance Indicator 4.A.3 - find the value or values that will make an open sentence true, if it contains < or > [Grade 4] [6 occurrences] - MST Standard 3 - Algebra Strand - Students will recognize, use, and represent algebraically patterns, relations, and functions. [Patterns, Relations and Functions] - Performance Indicator 4.A.4 - describe, extend, and make generalizations about numeric and geometric patterns [Grade 4] MST3-4.A.5 [2 occurrences] - MST Standard 3 - Algebra Strand - Students will recognize, use, and represent algebraically patterns, relations, and functions. [Patterns, Relations and Functions] - Performance Indicator 4.A.5 - analyze a pattern or a whole-number function and state the rule, given a table or an input/output box [Grade 4] MST3-4.G.1 [2 occurrences] - MST Standard 3 - Geometry Strand - Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes. [Shapes] - Performance Indicator 4.G.1 - identify and name polygons, recognizing that their names are related to the number of sides and angles (triangle, quadrilateral, pentagon, hexagon, and octagon) [Grade 4] MST3-4.G.2 [2 occurrences] - MST Standard 3 - Geometry Strand - Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes. [Shapes] - Performance Indicator 4.G.2 - identify points and line segments when drawing a plane figure [Grade 4] MST3-4.G.3 [1 occurrence] - MST Standard 3 - Geometry Strand - Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes. [Shapes] - Performance Indicator 4.G.3 - find perimeter of polygons by adding sides [Grade 4] MST3-4.G.5 [1 occurrence] - MST Standard 3 - Geometry Strand - Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes. [Shapes] - Performance Indicator 4.G.5 - define and identify vertices, faces, and edges of three-dimensional shapes [Grade 4] MST3-4.G.6 [1 occurrence] - MST Standard 3 - Geometry Strand - Students will identify and justify geometric relationships, formally and informally. [Geometric Relationships] - Performance Indicator 4.G.6 - draw and identify intersecting, perpendicular, and parallel lines [Grade 4] MST3-4.G.7 [1 occurrence] - MST Standard 3 - Geometry Strand - Students will identify and justify geometric relationships, formally and informally. [Geometric Relationships] - Performance Indicator 4.G.7 - identify points and rays when drawing angles [Grade 4] MST3-4.G.8 [1 occurrence] - MST Standard 3 - Geometry Strand - Students will identify and justify geometric relationships, formally and informally. [Geometric Relationships] - Performance Indicator 4.G.8 - classify angles as acute, obtuse, right, and straight [Grade 4] MST3-4.M.1 [2 occurrences] - MST Standard 3 - Measurement Strand - Students will determine what can be measured and how, using appropriate methods and formulas. [Units of Measurement] - Performance Indicator 4.M.1 - select tools and units (customary and metric) appropriate for the length measured [Grade 4] MST3-4.M.2 [1 occurrence] - MST Standard 3 - Measurement Strand - Students will determine what can be measured and how, using appropriate methods and formulas. [Units of Measurement] - Performance Indicator 4.M.2 - use a ruler to measure to the nearest standard unit [Grade 4] MST3-4.M.3 [2 occurrences] - MST Standard 3 - Measurement Strand - Students will determine what can be measured and how, using appropriate methods and formulas. [Units of Measurement] - Performance Indicator 4.M.3 - know and understand equivalent standard units of length [Grade 4] MST3-4.M.4 [1 occurrence] - MST Standard 3 - Measurement Strand - Students will determine what can be measured and how, using appropriate methods and formulas. [Units of Measurement] - Performance Indicator 4.M.4 - select tools and units appropriate to the mass of the object being measured (grams and kilograms) [Grade 4] MST3-4.M.5 [1 occurrence] - MST Standard 3 - Measurement Strand - Students will determine what can be measured and how, using appropriate methods and formulas. [Units of Measurement] - Performance Indicator 4.M.5 - measure mass, using grams [Grade 4] MST3-4.M.6 [1 occurrence] - MST Standard 3 - Measurement Strand - Students will determine what can be measured and how, using appropriate methods and formulas. [Units of Measurement] - Performance Indicator 4.M.6 - select tools and units appropriate to the capacity being measured (milliliters and liters) [Grade 4] MST3-4.M.7 [1 occurrence] - MST Standard 3 - Measurement Strand - Students will determine what can be measured and how, using appropriate methods and formulas. [Units of Measurement] - Performance Indicator 4.M.7 - measure capacity, using milliliters and liters [Grade 4] MST3-4.M.8 [1 occurrence] - MST Standard 3 - Measurement Strand - Students will use units to give meaning to measurements. [Units] - Performance Indicator 4.M.8 - make change, using combined coins and dollar amounts [Grade 4] MST3-4.M.9 [1 occurrence] - MST Standard 3 - Measurement Strand - Students will use units to give meaning to measurements. [Units] - Performance Indicator 4.M.9 - calculate elapsed time in hours and half hours, not crossing a.m./p.m. [Grade 4] MST3-4.M.10 [1 occurrence] - MST Standard 3 - Measurement Strand - Students will use units to give meaning to measurements. [Units] - Performance Indicator 4.M.10 - calculate elapsed time in days and weeks, using a calendar [Grade 4] MST3-4.S.1 [1 occurrence] - MST Standard 3 - Statistics and Probability Strand - Students will collect, organize, display, and analyze data. [Collection of Data] - Performance Indicator 4.S.1 - design investigations to address a question from given data [Grade 4] MST3-4.S.2 [1 occurrence] - MST Standard 3 - Statistics and Probability Strand - Students will collect, organize, display, and analyze data. [Collection of Data] - Performance Indicator 4.S.2 - collect data using observations, surveys, and experiments and record appropriately [Grade 4] [4 occurrences] - MST Standard 3 - Statistics and Probability Strand - Students will collect, organize, display, and analyze data. [Organization and Display of Data] - Performance Indicator 4.S.3 - represent data using tables, bar graphs, and pictographs [Grade 4] MST3-4.S.4 [1 occurrence] - MST Standard 3 - Statistics and Probability Strand - Students will collect, organize, display, and analyze data. [Analysis of Data] - Performance Indicator 4.S.4 - read and interpret line graphs [Grade 4] MST3-4.S.5 [2 occurrences] - MST Standard 3 - Statistics and Probability Strand - Students will make predictions that are based upon data analysis. [Predictions from Data] - Performance Indicator 4.S.5 - develop and make predictions that are based on data [Grade 4] MST3-4.S.6 [2 occurrences] - MST Standard 3 - Statistics and Probability Strand - Students will make predictions that are based upon data analysis. [Predictions from Data] - Performance Indicator 4.S.6 - formulate conclusions and make predictions from graphs [Grade 4]