Grade 4 Mathematics

4.1.1  By the end of the fourth grade, students will demonstrate place value of whole numbers through the millions and decimals to the hundredth place. (Read and write numerals [in digits and words] through the millions place and decimals to the hundredths place; round whole numbers to the nearest named place, such as rounding1,234 to the nearest hundred would be 1,200.)

4.1.2  By the end of the fourth grade, students will write and illustrate equivalences of whole numbers in expanded form, decimals, and fractions. (Write numbers in expanded form, such as 432= 400 + 30 + 2; represent equivalent fractions with denominators of 2, 4, 5, 8 and 10 [1/2 = 2/4] using concrete objects; write equivalent fractions with decimals [.4 = .40]; write decimals as fractions using denominators of 10 and 100 [.68 = 68/100].)

4.1.3  By the end of the fourth grade, students will describe and apply relationships between whole numbers, decimals, and fractions by order, comparison, and operation. (Order and compare whole numbers, common fractions, and decimals using the symbols <, >, and =; illustrate mathematical concepts by using objects and drawing pictures or diagrams [subtraction as the opposite of addition and multiplication as repeated addition]; solve and check a mathematical problem by using related facts.)

4.1.4  By the end of the fourth grade, students will identify examples of positive and negative numbers and zero. (For distances to the right or left of zero on a number line

4.1.5  By the end of the fourth grade, the students will make change and count out in amounts up to $20.00. (Count back change from purchase price to amount given using fewest coins possible; calculate change through subtraction and choose correct bills and coins to make this amount.)

4.2.1 By the end of the fourth grade, the students will estimate, add, subtract, multiply, and divide whole numbers without and with calculators and solve word problems.(Demonstrate with accuracy and reasonable speed the basic facts of addition [1-20], subtraction [1-20], multiplication [1-144], and division [1-44]; add and subtract accurately five-digit numbers including columns of numbers; multiply up to a three-digit number by a two-digit number; divide up to a three-digit number by a one-digit divisor; choose correct operation and solve word problems.)

4.2.2 By the end of the fourth grade, the students will estimate, add, and subtract decimals without and with calculators and solve word problems.(Add and subtract decimals to the hundredths place.)

4.2.3  By the end of the fourth grade, the students will estimate, add, and subtract fractions with like denominators without calculators and solve word problems. (Solve problems involving fractions of halves, fourths, and eighths using the operations of addition and subtraction.)

4.3.1  By the end of the fourth grade, students will estimate, measure, and solve word problems using metric units for linear measure, area, mass/weight, capacity and temperature. (Use the appropriate units of measurement; estimate and accurately measure length to the nearest meter or centimeter and calculate area; estimate and accurately measure mass/weight to the nearest gram; estimate and accurately measure capacity to the nearest milliliter; measure and read temperature accurately to the nearest degree using Celsius thermometer.)

4.3.2  By the end of the fourth grade, the students will estimate, measure, and solve word problems using standard units for linear measure, area, mass/weight, capacity, and temperature. (Use appropriate units of measurement; estimate and accurately measure length to the nearest yard, foot, inch, and quarter inch and calculate area; estimate and accurately measure mass/weight to the nearest ounce and pound; estimate and accurately measure capacity to the nearest fluid ounce; measure and read temperature accurately to the nearest degree using Fahrenheit thermometer.)

4.3.3  By the end of the fourth grade, students will tell and write correct time to the minute using an analog clock.  (Set an analog clock to a given time; state time in different ways [8:35, 35 minutes after 8:00, or 25 minutes until 9:00]; identify time of day [a.m., p.m., noon, and midnight].)

4.3.4  By the end of the fourth grade, the students will measure and determine the perimeter of a many ˆsided figure without a formula using standard and metric units of measure.

4.4.1  By the end of the fourth grade, the students will identify, describe, and create two- and three-dimensional geometric shapes.

4.4.2  By the end of the fourth grade, students will identify and draw points, lines, line segments, rays and angles.

4.4.3  By the end of the fourth grade, students will identify, analyze, and compare two-dimensional geometric figures using congruency, symmetry, similarity, and simple transformations.

4.5.1  By the end of the fourth grade, students will collect, organize, record, and interpret data and describe the findings. (Collect, organize, and interpret data in line plots, tables, charts, and graphs [pie graphs, bar graphs, and pictographs]; draw valid conclusions from displayed data; investigate and record patterns in a simple probability situation in an organized way.)

4.6.1  By the end of the fourth grade, students will use and interpret variables and mathematical symbols to write and solve one-step equations. (Use letters, boxes, or other symbols to stand for any number, measured quantity, or object in  simple situations to demonstrate the beginning concept of a variable and writing formulas; identify and use various indicators of multiplication (parentheses, X, * ) and division (/, C   , / ).

    4.6.2  By the end of the fourth grade, students will identify, describe, and extend arithmetic patterns, using concrete materials and tables. (Use Input/Output or function box to identify and extend patterns.)

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