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Edison School District |
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Developing a desire for lifelong learning |
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By the end of fourth grade students understand large numbers and addition, subtraction, multiplication and division of whole numbers. They describe and compare simple fractions and decimals. They understand the properties of and the relationships between geometric figures. They collect, represent and analyze data to answer questions. Number Sense Þ Students understand place value of numbers and use concepts of negative numbers Þ Read and write numbers in the millions Þ Order and compare numbers and decimals to two decimal places Þ Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand or hundred thousand Þ Understand fractions in a variety of ways Þ Write tenths and hundredths as decimals and fractions Þ Write the fraction represented by a drawing Þ Use negative numbers accurately Þ Estimate and compute the sum or difference of whole numbers and decimals to two places Þ Accurately round two place decimals to one decimal or the nearest whole number Þ Solve addition, subtraction, multiplication and division problems, including the addition and subtraction of negative numbers Þ Solve multiplication problems with multi-digit numbers by two-digit numbers
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Þ Solve problems involving division of multi-digit numbers by one-digit numbers Þ Know how to factor small numbers Þ Know that numbers such as 2, 3, 5, 7, 11 do not have any factors except 1 and themselves and that such numbers are called prime numbers Algebra & Functions Þ Students use and interpret variables, mathematical symbols and properties to write and simplify expressions and sentences Þ Use letters, boxes or other symbols to stand for any number in simple equations Þ Solve mathematical expressions that use parentheses Þ Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations Þ Use and interpret formulas (example: Area = length times width or A = lw) Þ Understand that an equation such a y = 3x + 5 is a way to determine a second number when a first number is given Þ Know how to manipulate equations Þ Know and understand that equals added or multiplied by equals are equal Measurement & Geometry Þ Students understand perimeter and area Þ Measure the area of rectangular shapes using square centimeter, square meter, square kilometer, square inches, square yard, square mile Þ Recognize that the rectangles having the same area can have different perimeters Þ Understand that the same number can be the perimeter of different rectangles, each having a different area Þ Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares Þ Use two-dimensional coordinate grids to represent points, graph lines and simple figures Þ Draw points on graph paper Þ Understand line segments Þ Understand plane and solid geometric objects Þ Identify lines that are parallel and perpendicular
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Þ Identify the radius and diameter of a circle Þ Identify congruent figures Þ Identify figures with symmetry Þ Know the definitions of right angle, acute angle and obtuse angle. Þ Visualize, describe and represent geometric solids (example: prisms, pyramids, etc.) in terms of the number and shape of faces, edges and vertices Þ Know the definitions of different triangles and identify their features Þ Know the definition of different quadrilaterals Statistics, Data Analysis & Probability Þ Students organize, represent and interpret data and clearly communicate their findings Þ Formulate survey questions, systematically collect and represent data on a number line and coordinate graphs, tables and charts Þ Identify the mode(s) for sets of categorical data and the mode(s) median Þ Interpret one- and two-variable data graphs to answer questions about a situation Þ Make predictions for simple probability situations Þ Use estimation to verify the reasonableness of an answer Þ Apply strategies and results from simpler problems to more complex problems Þ Use a variety of methods such as words, numbers, symbols, charts, graphs, tables, diagrams and models to explain mathematical reasoning Þ Express the solution clearly and logically Þ Make precise calculations and check the validity of the results Þ Move beyond a particular problem by generalizing to other situations
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