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LAS CRUCES PUBLIC SCHOOLS 4th Grade Content Map Mathematics Italicized standards represent content that is being reinforced or previewed August/Sept October November December January February March April NM SBA May Expectations Strand: Number and Operations Standard: Students will understand numerical concepts and mathematical operations Exhibit an Demonstrate an Add and Use visual Understand understanding of understanding Choose Extend the uses subtract models and other numbers, ways the place-value of and the computational of whole numbers fractions with strategies to of representing structure of the ability to use: methods based to the addition common and recognize and numbers, base-ten number (a) standard on and subtraction of uncommon generate relationships system by algorithms for understanding simple decimals denominators equivalents of among reading, the addition and the base-ten (positive numbers using a variety commonly used numbers, and modeling, writing, subtraction of number system, to two places). of strategies to fractions and number and interpreting multi-digit properties of (a) recognize mixed numbers systems. whole numbers up numbers, and multiplication Use strategies to and generate (halves, thirds, to 100,000; to (b) standard and division, estimate equivalent fourths, sixths, Understand the compare and algorithms for and number computations decimal forms eighths, tenths meaning of order the numbers multiplication relationships. involving fractions of commonly operations and by; (a) and division of and decimals. used fractions how they relate recognizing multi-digit (b) identify the Identify fractions to one another. equivalent numbers by numbers less as parts of unit representations one-digit than zero by wholes, as parts Compute for the same number (year extending the of groups, and as fluently and number and long). number line and locations on make generating them using negative number lines by; reasonable by decomposing Solve simple numbers (a) using visual estimates. and combining multiplication through familiar models and other numbers and (b) and division applications strategies to identifying the problems (e.g., compare and numbers less than temperature, order commonly 0 by extending the Identify and use money) used fractions, (b) number line and the relationship using models to using negative between show how whole numbers through multiplication numbers and familiar and division to decimals (to the applications solve problems. hundredths place) relate to simple Recognize Demonstrate fractions, (c) ) classes of the concept of identifying numbers and distributivity of different apply these multiplication interpretations of concepts in over addition fractions that problem-solving and subtraction include (i) division situations. (year (year long) of whole numbers long) by whole numbers, (ii) Select and use Demonstrate ratio. (iii) appropriate multiplication equivalence (iv) operations combinations ordering of including addition through 12 x 12 fractions, and (v) and subtraction to and related parts of a whole solve problems. division facts, or parts of a set (year long) and use them to (year long). solve problems Demonstrate mentally and Extend the uses commutative, compute related of whole numbers associative, problems. (year to the addition identity, and zero long) and subtraction of properties of simple decimals Use a variety of (positive numbers operations on models to show to two places). whole numbers an (year long) understanding Use strategies to of multiplication estimate and division of computations Add and subtract whole numbers involving fractions up to two triple and decimals. digits numbers Choose accurately and computational efficiently. (year methods based long). on understanding Demonstrate an the base-ten understanding of number system, and the ability to properties of use: (a) standard multiplication algorithms for the and division, addition and and number subtraction of relationships. multi-digit numbers. (year long) Use a variety of strategies (e.g., rounding and regrouping) to estimate the results of whole number computations and judge the reasonableness of the answers. (year long) Students should be able to add and subtract mentally numbers 0-20 and know multiplication facts to 12 x 12. Resources: Mad Minutes, Multiplication Charts, Frequent Practice, Flash Masters, District Website for Homework, Software on School Servers, and other resources available at individual school sites. Strand: Algebra Standard: Students will understand algebraic concepts and applications. Use and interpret Determine the Model problem Understand variables, value of situations with patterns, mathematical variables in objects and use relations, and symbols, and missing part representation functions. properties to write problems such as and simplify pictures, Represent and expressions and Represent graphs, tables, analyze sentences by (a) simple and equations mathematical using letters, functional to draw situations and boxes, or other relationships by conclusions structures using symbols to stand (a) solving . algebraic for any number in simple symbols. simple problems Represent expressions or involving a simple Use equations (e.g., functional functional mathematical demonstrate the relationship relationships; models to concept of a between two (a) solve simple represent and variable), (b) quantities, and problems understand interpret and (b) extending involving a quantitative evaluate and recognizing functional relationships. mathematical a linear pattern relationship expressions using by its rules. between two Analyze change parentheses, and quantities,(b) in various (c) use and Develop simple extend and contexts. interpret formulas formulas in recognize a to (a) answer exploring linear pattern by questions about quantities and its rules ( A quantities and their form of their relationships relationships graphing. (year long). (e.g., A = L X Introduce with W). Supplemental Explore the uses Material of properties Use and y=x+3) (commutative, interpret distributive, formulas (e.g., associative) in the Area = Length computation of X Width) to whole numbers. answer questions about Identify symbols quantities and and letters that their represent the relationships concept of a variable as an Solve problems unknown quantity involving proportional Determine the relationships value of variables including unit in simple pricing equations Describe Express relationships of mathematical quantities in the relationships form of using equations. mathematical (year long) expressions, equations, or Demonstrate how inequalities. change in one variable can relate to change in a second variable (e.g., input-output machines, data tables). Introduce in August with supplemental materials (year long) Strand: Geometry Standard: Students will understand geometric concepts and applications. Use geometric Describe and Classify two- Predict and Identify, Analyze models, such as compare the dimensional describe the describe, and characteristics number lines, and attributes of shapes according results of classify two- and properties computer plane and solid to their properties sliding, flipping, dimensional of two- and simulations to geometric and develop and turning two- shapes and three- investigate figures to show definitions of dimensional three- dimensional number relationships classes like shapes.(Must dimensional geometric relationships (e.g., and solve triangles by; (a) use figures by their shapes and patterns). (year problems by (a) visualizing, Supplemental properties. develop long) identifying, describing, and Materials) mathematical describing, and (b) interpreting Identify, arguments classifying two-dimensional Identify, compare, and about geometric polygons, (b) representations of compare, and analyze relationships. identifying lines three-dimensional analyze attributes of of symmetry in objects (year attributes of two- and three- Specify two- long) two- and three- dimensional locations and dimensional dimensional shapes and describe spatial shapes, (c) shapes and develop relationships exploring Identify, compare, develop vocabulary to using attributes of and analyze vocabulary to describe the coordinate quadrilaterals, attributes of two- describe the attributes by; geometry and (d) identifying and three- attributes by; (a) building, other right angles, dimensional (a) building, drawing, representational and (e) shapes and drawing, creating, and systems. identifying, develop creating, and describing describing, and vocabulary to describing geometric Apply classifying describe the geometric objects, (b) transformations common three- attributes by; (a) objects, (b) identifying lines and use dimensional building, drawing, identifying lines that are parallel symmetry to geometric creating, and that are parallel or analyze objects. describing or perpendicular, mathematical geometric perpendicular, and (c) situations. Use ordered objects, (b) and (c) identifying and pairs to graph, identifying lines identifying and comparing Use locate specific that are parallel comparing congruent and visualization, points, create or perpendicular, congruent and similar figures. spatial path, and and (c) identifying similar figures. reasoning, and measure and comparing Classify two- geometric distances within congruent and Explore and three- modeling to a coordinate similar figures. relationships dimensional solve problems. grid system. involving shapes (year long) Make and test perimeter and according to (Will need to conjectures about area by; (a) their properties use geometric measuring the and develop Supplemental properties and area of definitions of Materials) relationships and rectangular classes like develop logical shapes and triangles and Use geometric arguments to using pyramids by; (a) models, such justify appropriate visualizing, as number conclusions units, (b) describing, and lines, arrays, recognizing that making models and computer Describe location area can have of geometric simulations to and movement the same solids in terms investigate using common perimeter but of the number number language and different areas of faces, edges, relationships geometric and vice versa, and vertices , (e.g., patterns). vocabulary. and (c) using and (b) (year long) models and interpreting two- Use ordered pairs formulas to dimensional Use geometric to graph, locate, solve problems representations models to solve identify points, involving of three- problems in and describe perimeter and dimensional other areas of paths in the first area of objects (year mathematics quadrant of the rectangles and long) (e.g., using coordinate plane squares arrays as (Must use models of Supplemental Describe multiplication or Materials ) location and area). movement Use a variety of using common methods for language and measuring geometric distances vocabulary between locations on a grid. (Use mapping supplements) Create and describe rotational designs using language of transformational symmetry. Describe a motion or set of motions that will show that two shapes are congruent. Develop and use mental images of geometric shapes to solve problems Describe location and movement using common language and geometric vocabulary Strand: Measurement Standard: Students will understand measurement systems and applications. Use appropriate Demonstrate Find the area of Estimate Develop Understand units and tools understanding rectangles using perimeters, formulas to measurable to estimate, that appropriate tools areas of determine the attributes of measure, and measurements rectangles, surface area objects and the solve problems are Select the triangles, and and volume of units, systems, (e.g., length, approximations, appropriate type irregular shapes rectangular and process of area, weight). investigate of unit for solids. measurement. differences in measuring Find the area of Identify units and their perimeter and rectangles, Apply properties (e.g., effect on size of an angle. related triangles appropriate length, area, precision, and and techniques, weight, volume) consider the Understand the parallelograms. tools, and and select the degree of need for formulas to appropriate accuracy for measuring with Estimate, determine type of unit for different standard units measure, and measurements. measuring each situations. and become solve problems property. familiar with the involving length, standard units in area, mass, Select and use customary and time, and appropriate metric system temperature measurement (year long) using tools (ruler, appropriate yardstick, meter Identify the standard units stick). inverse and tools. relationship (Mass, Demonstrate between the size Temperature, understanding of the units and and Time need to the need for the number of to be measuring with units. supplemented) units and become familiar Develop, Identify with standard understand, and common units in the U.S. use formulas to measurements customary find the area of of turns (e.g., system. rectangles and 360 degrees in related triangles one turn, 90 Develop and degrees in a formulas to parallelograms. quarter-turn). determine the surface area of Carry out simple Use tools to rectangular conversions measure angles solids. within a system of (e.g., protractor, measurement compass) (Must supplement) Strand: Data Analysis and Probability Standard: Students will understand how to formulate questions, analyze data, and determine probabilities. Organize, Represent data Formulate Organize, represent, and using tables questions that represent, and interpret and graphs can be interpret numerical and (e.g., line plots, addressed with numerical and categorical data bar graphs, and data and categorical data and clearly line graphs). collect, and clearly communicate organize, and communicate findings by; (a) Analyze data display relevant findings by; (a) choosing and displayed in a data to answer choosing and constructing variety of them. constructing representations formats to representations that are make Select and use that are appropriate for reasonable appropriate appropriate for the data set, inferences and statistical the data set, and and (b) predictions, methods to (b) recognizing recognizing the answer analyze data. the differences in differences in questions, and representing representing make Develop and categorical and categorical and decisions. evaluate numerical data. numerical data. inferences and Design predictions that Compare and Compare and investigations are based on describe related describe related and represent data. data sets. data sets. data using tables and Use the concepts Use the graphs of median, mode, concepts of maximum, median, mode, Use data minimum, and maximum, analysis to range and draw minimum, and make conclusions about range and draw reasonable a data set. conclusions inferences/predi about a data ctions and to Demonstrate how set. develop change in one convincing variable can arguments from relate to change Describe events data described in a second as “likely”, in a variety of variable (e.g., “unlikely”, or formats input-output “impossible” machines, data and quantify Propose and tables). simple justify probability conclusions situations by (a) and prediction representing all based on data. possible outcomes for a Developing simple convincing probability arguments from situation in an data displayed organized way in a variety of and (b) formats. expressing outcomes of experimental probability situations verbally and numerically (e.g., three out of four, ¾). List all possible combinations of objects from three sets. (Must be Supplemented)

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posted: | 9/2/2011 |

language: | Spanish |

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