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Grade 4 Mathematics Content Whole Numbers Using benchmark numbers in estimation Place value through ten thousands Read, write, compare, and order numbers through ten thousands Round numbers less than 1,000 to nearest tens and hundreds Whole Number Operations (addition, subtraction, multiplication, division) Associative properties Basic facts Estimation of sums, differences, products, quotients Additions and subtraction using up to four digit numbers, with regrouping Subtraction across zeroes Multiplication by multiples of ten and by 1 and 2-digit factors Division by 1 digit divisors, with and without remainders Algebra and Functions Writing number sentences Writing and evaluating numerical expressions, using variables Using parentheses Fractions Reading, writing, comparing, ordering, and locating on a number line Equivalent fractions using mauipulatives Addition and subtraction of fractions with like denominators Decimals Measurement Express decimals as an equivalent form of fractions Reading and writing decimals through hundredths Comparing and ordering decimals Adding and subtracting decimals Data and Graphing Measuring to the nearest standard unit (1/2 and ¼ inches, whole feet, whole yards, whole centimeters, and whole meters) Customary and metric units of measure Choosing appropriate units Linear measure, capacity, mass, temperature Perimeter, area and volume Collecting, organizing, and displaying data Bar and graphs Comparing graphs Problem Solving (strategies used apply to all units) Time Reading and using clocks, schedules and calendars Calculate elapsed time Money Addition, subtraction, multiplication, and division (related to decimals) Generating equivalent amounts using various coins Make change Geometry Lines, rays, angles, points, and line segments Intersecting, perpendicular and parallel lines Angles (acute, obtuse, right, and straight) Identify and classify polygons Classify quadrilaterals Pattern blocks Solid figures – face, edge, vertex for solid figures Make a table, model, graph Estimate or find exact answers Draw conclusions Sequence information Choose the operation Work backward Write an equation Solve a simpler problem Predict and test Find a pattern Draw a diagram New York State Education Department Learning Standard for Mathematics Students will understand the concepts of and become proficient with the skills of mathematics; communicate and reason mathematically; become problem solvers by using appropriate tools and strategies through the integrated study of number sense and operations, algebra, geometry, measurement, and statistics and probability. Content Strands Strand 1: Number Sense and Operations Definition Example Students will understand numbers, multiple ways of representing numbers, 1. Verbally count by 1’s to 20. relationships among numbers, and number systems; understand meanings 2. Solve proportions using equivalent fractions. of operations and procedures, and how they relate to one another; compute accurately and make reasonable estimates. Strand 2: Algebra Students will represent and analyze algebraically a wide variety of problem solving situations; perform algebraic procedures accurately; recognize, use, and represent patterns, relations, and functions algebraically. 1. Use a variety of manipulative materials to create patterns using attributes of color, size, or shape. 2. Solve simple one-step equations using basic whole number facts. Strand 3: Geometry Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes; identify and justify geometric relationships, formally and informally; apply transformations and symmetry to analyze problem solving situations; apply coordinate geometry to analyze problem solving situations. 1. Identify and appropriately name twodimensional shapes: circle, square, rectangle, and triangle (both regular and irregular). 2. Classify angles as acute, obtuse, right and straight. Strand 4: Measurement Students will determine what can be measured and how, using appropriate methods and formulas; use units to give meaning to measurements; understand that all measurement contains error and be able to determine its significance; develop strategies for estimating measurements. 1. Compare the length of two objects by representing each length with string or a paper strip. 2. Identify radius, diameter, chords, and central angles of a circle. Strand 5: Statistics and Probability Students will collect, organize, display, and analyze data; make predictions that are based upon data analysis; understand and apply concepts of probability. 1. Display data in bar graphs using concrete objects with intervals of one. 2. Calculate the mean for a given set of data and use it to describe a set of data. S:\Ci\MS Word\Math\New Parent Handouts 2005\Gd.2. Parent Handout.doc 1. Example for Primary Instruction. 2. Example for Intermediate Instruction.