Standards+and+Pacing

We have two sets of standards we need to make sure the kids understand and can use this year, as Virginia adopted new standards in 2009. They will be tested in Spring 2012. Thus, our list of standards shows both the old standards, which the kids need to know as well as the new ones.

=Measurement (tested 2011-12) =
 * 1st Quarter: **

Focus: Perimeter, Area, Volume, and Equivalent Measures
5.8 The student will a) find perimeter, area, and volume in standard units of measure; b) differentiate among perimeter, area, and volume and identify whether the application of the concept of perimeter, area, or volume is appropriate for a given situation; c) identify equivalent measurements within the metric system; d) estimate and then measure to solve problems, using U.S. Customary and metric units; and e) choose an appropriate unit of measure for a given situation involving measurement using U.S. Customary and metric units. 5.9 The student will identify and describe the diameter, radius, chord, and circumference of a circle. 5.10 The student will determine an amount of elapsed time in hours and minutes within a 24-hour period. 5.11 The student will measure right, acute, obtuse, and straight angles. =Measurement (previous standards) = 5.8 The student will describe and determine the perimeter of a polygon and the area of a square, rectangle, and right triangle, given the appropriate measures. 5.9 The student will identify and describe the diameter, radius, chord, and circumference of a circle. 5.10 The student will differentiate between perimeter, area, and volume and identify whether the application of the concept of perimeter, area, or volume is appropriate for a given situation. 5.11 The student will choose an appropriate measuring device and unit of measure to solve problems involving measurement of a) length — part of an inch (1/2, 1/4, and 1/8), inches, feet, yards, miles, millimeters, centimeters, meters, and kilometers; b) weight/mass — ounces, pounds, tons, grams, and kilograms; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">c) liquid volume — cups, pints, quarts, gallons, milliliters, and liters; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">d) area — square units; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">e) temperature — Celsius and Fahrenheit units. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Problems also will include estimating the conversion of Celsius and Fahrenheit units relative to familiar situations (water freezes at 0°C and 32°F, water boils at 100°C and 212°F, normal body temperature is about 37°C and 98.6°F). <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.12 The student will determine an amount of elapsed time in hours and minutes within a 24-hour period. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.13 The student will measure and draw right, acute, and obtuse angles and triangles, using appropriate tools.

=<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 15px;">Geometry (tested 2011-12) =
 * <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 16px;">2nd Quarter: **

<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 11px;">Focus: Classification and Subdividing
<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">5.12 The student will classify <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">a) angles as right, acute, obtuse, or straight; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">b) triangles as right, acute, obtuse, equilateral, scalene, or isosceles. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">5.13 The student, using plane figures (square, rectangle, triangle, parallelogram, rhombus, and trapezoid), will <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">a) develop definitions of these plane figures; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">b) investigate and describe the results of combining and subdividing plane figures. =<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 15px;">Geometry (previous standards) = <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">5.14 The student will classify angles and triangles as right, acute, or obtuse. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">5.15 The student, using two-dimensional (plane) figures (square, rectangle, triangle, parallelogram, rhombus, kite, and trapezoid) will <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">a) recognize, identify, describe, and analyze their properties in order to develop definitions of these figures; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">b) identify and explore congruent, noncongruent, and similar figures; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">c) investigate and describe the results of combining and subdividing shapes; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">d) identify and describe a line of symmetry; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">e) recognize the images of figures resulting from geometric transformations such as translation (slide), reflection (flip), or rotation (turn). <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 10px;">5.16 The student will identify, compare, and analyze properties of three-dimensional (solid) geometric shapes (cylinder, cone, cube, square pyramid, and rectangular prism).

=<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Number and Number Sense (tested 2011-12) =
 * <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 16px;">3rd Quarter: **

<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Focus: Prime and Composite Numbers and Rounding Decimals
<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.1 The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.2 The student will <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">a) recognize and name fractions in their equivalent decimal form and vice versa; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">b) compare and order fractions and decimals in a given set from least to greatest and greatest to least. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.3 The student will <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">a) identify and describe the characteristics of prime and composite numbers; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">b) identify and describe the characteristics of even and odd numbers.

<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">**Number and Number Sense (previous standards) 110)OL STATEMENT ** <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.1 The student will <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">a) read, write, and identify the place values of decimals through thousandths; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">b) round decimal numbers to the nearest tenth or hundredth; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">c) compare the values of two decimals through thousandths, using the symbols >, <, <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">or =. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.2 The student will <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">a) recognize and name commonly used fractions (halves, fourths, fifths, eighths, and tenths) in their equivalent decimal form and vice versa; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">b) order a given set of fractions and decimals from least to greatest. Fractions will include like and unlike denominators limited to 12 or less, and mixed numbers.

=<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">__Computation and Estimation__ =

=<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Computation and Estimation (2011-12) =

<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Focus: Multistep Applications and Order of Operations
<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.4 The student will create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division with and without remainders of whole numbers. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.5 The student will <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">a) find the sum, difference, product, and quotient of two numbers expressed as decimals through thousandths (divisors with only one nonzero digit); and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">b) create and solve single-step and multistep practical problems involving decimals. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.6 The student will solve single-step and multistep practical problems involving addition and subtraction with fractions and mixed numbers and express answers in simplest form. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.7 The student will evaluate whole number numerical expressions, using the order of operations limited to parentheses, addition, subtraction, multiplication, and division. =<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Computation and Estimation (2010) = <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.3 The student will create and solve problems involving addition, subtraction, multiplication, and division of whole numbers, using paper and pencil, estimation, mental computation, and calculators. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.4 The student will find the sum, difference, and product of two numbers expressed as decimals through thousandths, using an appropriate method of calculation, including paper and pencil, estimation, mental computation, and calculators. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.5 The student, given a dividend of four digits or fewer and a divisor of two digits or fewer, will find the quotient and remainder. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.6 The student, given a dividend expressed as a decimal through thousandths and a single-digit divisor, will find the quotient. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.7 The student will add and subtract with fractions and mixed numbers, with and without regrouping, and express answers in simplest form. Problems will include like and unlike denominators limited to 12 or less.

=<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif;"> = =<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Probability and Statistics (tested 2011-12) =
 * <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 16px;">4th Quarter: **

<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Focus: Outcomes and Measures of Center
<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.14 The student will make predictions and determine the probability of an outcome by constructing a sample space. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.15 The student, given a problem situation, will collect, organize, and interpret data in a variety of forms, using stem-and-leaf plots and line graphs. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.16 The student will <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">a) describe mean, median, and mode as measures of center; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">b) describe mean as fair share; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">c) find the mean, median, mode, and range of a set of data; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">d) describe the range of a set of data as a measure of variation. =<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Probability and Statistics (previous standards) = <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.17 The student will <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">a) solve problems involving the probability of a single event by using tree diagrams or by constructing a sample space representing all possible results; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">b) predict the probability of outcomes of simple experiments, representing it with fractions or decimals from 0 to 1, and test the prediction; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">c) create a problem statement involving probability and based on information from a given problem situation. Students will not be required to solve the created problem statement. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.18 now 5.15 <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.19 now 5.16 = = =<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Patterns, Functions, and Algebra (tested 2011-12) =

<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Focus: Equations and Properties
<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.17 The student will describe the relationship found in a number pattern and express the relationship. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.18 The student will <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">a) investigate and describe the concept of variable; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">b) write an open sentence to represent a given mathematical relationship, using a variable; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">c) model one-step linear equations in one variable, using addition and subtraction; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">d) create a problem situation based on a given open sentence, using a single variable. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.19 The student will investigate and recognize the distributive property of multiplication over addition. =<span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">Patterns, Functions, and Algebra (previous standards) = <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.20 The student will analyze the structure of numerical and geometric patterns (how they change or grow) and express the relationship, using words, tables, graphs, or a mathematical sentence. Concrete materials and calculators will be used. <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.21 The student will <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">a) now 5.18a; <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">b) use a variable expression to represent a given verbal quantitative expression involving one operation ; and <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">c) now 5.18b <span style="font-family: 'Trebuchet MS',Helvetica,sans-serif; font-size: 80%;">5.22 now 5.18d