MATHEMATICS STANDARDS OF LEARNING
Math K.8 The student will identify the instruments used to measure length (ruler), weight (scale), time (clock: digital and analog, calendar: day, month, and season), and temperature (thermometer).
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math K.10 The student will compare two objects or events, using direct comparisons or nonstandard units of measure, according to one or more of the following attributes: length (shorter, longer), height (taller, shorter), weight (heavier, lighter), temperature (hotter, colder). Examples of nonstandard units include foot length, hand span, new pencil, paper clip, block, etc.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math K.11 The student will identify, describe, and draw two-dimensional (plane) geometric figures (circle, triangle, square, and rectangle).
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math K.12 The student will identify representations of plane geometric figures (circle, triangle, square, and rectangle), regardless of their position and orientation in space.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math K.14 The student will gather data relating to familiar experiences by counting and tallying.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math K.15 The student will display objects and information, using object graphs, pictorial graphs and tables.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math K.17 The student will sort and classify objects according to similar attributes (size, shape, and color).
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 1.1 The student will count objects in a given set containing between 1 and 100 objects and write the corresponding numeral.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 1.5 The student will identify the ordinal positions first through tenth, using an ordered set of objects.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 1.12 The student will use nonstandard units to measure length and weight.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 1.16 The student will draw, describe and sort plane geometric figures (triangle, square, rectangle, and circle) according to number of sides, corners, and square corners.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 1.17 The student will identify and describe objects in his/her environment that depict plane geometric figures (triangle, rectangle, square, and circle).
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 1.19 The student will interpret information displayed in a picture or object graph, using the vocabulary more, less, fewer, greater than, less than, and equal to.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 1.20 The student will sort and classify concrete objects according to one or more attributes, including color, size, shape, and thickness.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 2.11 The student will a) count and compare a collection of pennies, nickels, dimes and quarters whose total value is $2.00 or less; and b) identify the correct usage of the cent symbol, dollar symbol, and decimal point.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 2.12 The student will estimate and then use a ruler to make linear measurements to the nearest centimeter and inch, including measuring the distance around a polygon in order to determine perimeter.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 2.17 The student will use actual measuring devices to compare metric and U.S. Customary units (cups, pints, quarts, gallons, and liters) for measuring liquid volume, using the concepts of more, less, and equivalent.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 2.22 The student will compare and contrast plane and solid geometric shapes (circle/sphere, square/cube, and rectangule/rectangular solid).
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 2.23 The student will read, construct, and interpret a simple picture and bar graph.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 3.7 The student will read and write decimals expressed as tenths and hundredths, using concrete materials and models.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 3.3 The student will compare two whole numbers between 0 and 9,999, using symbols (>, <, or =) and words (greater than, less than, or equal to).
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 3.8 The student will solve problems involving the sum or difference of two whole numbers, each 9,999 or less, with or without regrouping, using various computational methods, including calculators, paper and pencil, mental computation, and estimation.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 3.13 The student will determine by counting the value of a collection of bills and coins whose total value is $5.00 or less, compare the value of the coins or bills, and make change.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 3.14 The student will estimate and then use actual measuring devices with metric and U.S. Customary units to measure length, liquid volume, and weight/mass.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 3.16 The student will identify equivalent periods of time, including relationships among days, months, and years, as well as minutes and hours.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 3.21 The student, given grid paper, will a) collect and organize data on a given topic of his/her choice, using observations, measurements, surveys, or experiments; and b) construct a line plot, a picture graph, or a bar graph to represent the results. Each graph will include an appropriate title and key.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 3.22 The student will read and interpret data represented in line plots, bar graphs, and picture graphs and write a sentence analyzing the data.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 3.24 The student will recognize and describe a variety of patterns formed using concrete objects, numbers, tables, and pictures, and extend the pattern, using the same or different forms (concrete objects, numbers, table, and pictures).
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.1 The student will a) identify (orally and in writing) the place value for each digit in a whole number expressed through millions; b) compare two whole numbers expressed through millions, using symbols (>, <, or =); and c) round whole numbers expressed through millions to the nearest thousand, ten thousand, and hundred thousand.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.2 The student will a) identify, model, and compare rational numbers (fractions and mixed numbers), using concrete objects and pictures; b) represent equivalent fractions; and c) relate fractions to decimals, using concrete objects.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.5 The student will estimate whole-number sums and differences and describe the method of estimation. Students will refine estimates, using terms such as closer to, between, and a little more than.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.6 The student will add and subtract whole numbers written in vertical and horizontal form, choosing appropriately between paper and pencil methods and calculators.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.7 The student will find the product of two whole numbers when one factor has two digits or fewer and the other factor has three digits or fewer, using estimation and paper and pencil. For larger products (a two-digit numeral times a three-digit numeral), estimation and calculators will be used.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.10 The student will a) estimate and measure weight/mass using actual measuring devices and describe the results in U.S. Customary/metric units as appropriate, including ounces, pounds, grams, and kilograms; b) identify equivalent measurements between units within the U.S. Customary system (ounces and pounds) and between units within the metric system (grams and kilograms); and c) estimate the conversion of ounces and grams and pounds and kilograms, using approximate comparisons. The intent of this standard is for students to make “ballpark” comparisons and not to memorize conversion factors between U.S. and metric units.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.11 The student will a) estimate and measure length, using actual measuring devices, and describe the results in both metric and U.S. Customary units; b) identify equivalent measurements between units within the U.S. Customary system and between units in the metric system; and c) estimate the conversion of inches and centimeters, yards and meters, and miles and kilometers, using approximate comparisons. The intent of this standard is for students to make “ballpark” comparisons and not to memorize conversion factors between U.S. and metric units.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.12 The student will a) estimate and measure liquid volume, using actual measuring devices and using metric and U.S. Customary units; b) identify equivalent measurements between units within the U.S. Customary system and between units within the metric system; and c) estimate the conversion of quarts and liters, using approximate comparisons. The intent of this standard is for students to make “ballpark” comparisons and not to memorize conversion factors between U.S. and metric units.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.13 The student will a) identify and describe situations representing the use of perimeter and area; and b) use measuring devices to find perimeter in both standard and nonstandard units of measure.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.14 The student will investigate and describe the relationships between and among points, lines, line segments, and rays.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.15 The student will a) identify and draw representations of points, lines, line segments, rays, and angles, using a straightedge or ruler; and b) describe the path of shortest distance between two points on a flat surface.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 4.20 The student will collect, organize, and display data in line and bar graphs with scale increments of one or greater than one and use the display to interpret the results, draw conclusions, and make predictions.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 5.1 The student will a) read, write, and identify the place values of decimals through thousandths; b) round decimal numbers to the nearest tenth or hundredth; and c) compare the values of two decimals through thousandths, using the symbols >, <, or =.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 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.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 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.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 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.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 5.9 The student will identify and describe the diameter, radius, chord, and circumference of a circle.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 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.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 5.11 The student will choose an appropriate measuring device and unit of measure to solve problems involving measurement of a) length, b) weight/mass, c) liquid volume,
d) area, and e) temperature. Problems also will include estimating the conversion of Celsius and Fahrenheit units relative to familiar situations.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 5.18 The student will, given a problem situation, collect, organize, and display a set of numerical data in a variety of forms, using bar graphs, stem-and-leaf plots, and line graphs, to draw conclusions and make predictions.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 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.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.1 The student will identify representations of a given percent and describe orally and in writing the equivalence relationship between fractions, decimals, and percents.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.2 The student will describe and compare two sets of data, using ratios, and will use appropriate notations, such as a/b, a to b, and a:b.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.4 The student will compare and order whole numbers, fractions, and decimals, using concrete materials, drawings or pictures, and mathematical symbols.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.6 The student will a) solve problems that involve addition, subtraction, multiplication, and/or division with fractions and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less and express their answers in simplest form; and b) find the quotient, given a dividend expressed as a decimal through thousandths and a divisor expressed as a decimal to thousandths with exactly one non-zero digit.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.7 The student will use estimation strategies to solve multistep practical problems involving whole numbers, decimals, and fractions (rational numbers).
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.8 The student will solve multistep consumer-application problems involving fractions and decimals and present data and conclusions in paragraphs, tables, or graphs. Planning a budget will be included.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.9 The student will compare and convert units of measure for length, weight/mass, and volume within the U.S. Customary system and the metric system and estimate conversions between units in each system. The intent of this standard is for students to make “ballpark” comparisons and not to memorize conversion factors between U.S. and metric units.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.10 The student will estimate and then determine length, weight/mass, area, and liquid volume/capacity, using standard and nonstandard units of measure.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.11 The student will determine if a problem situation involving polygons of four or fewer sides represents the application of perimeter or area and apply the appropriate formula.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.12 The student will a) solve problems by finding the circumference and/or area of a circle when given the diameter or radius; and b) derive approximations for pi from measurements for circumference and diameter, using concrete materials or computer models.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.18 The student, given a problem situation, will collect, analyze, display, and interpret data in a variety of graphical methods, including a) line, bar, and circle graphs;
b) stem-and-leaf plots; and c) box-and-whisker plots. Circle graphs will be limited to halves, fourths, and eighths.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.19 The student will describe the mean, median, and mode as measures of central tendency, describe the range, and determine their meaning for a set of data.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 6.21 The student will investigate, describe, and extend numerical and geometric patterns, including triangular numbers, patterns formed by powers of 10, and arithmetic sequences.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 7.2 The student will simplify expressions that contain rational numbers (whole numbers, fractions, and decimals) and positive exponents, using order of operations, mental mathematics, and appropriate tools.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 7.3 The student will identify and apply the following properties of operations with real numbers…
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 7.4 The student will a) solve practical problems using rational numbers (whole numbers, fractions, decimals) and percents; and b) solve consumer-application problems involving tips, discounts, sales tax, and simple interest.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
| #38 Every Drop Counts |
#12 Invasive Species
|
Math 7.5 The student will formulate rules for and solve practical problems involving basic operations (addition, subtraction, multiplication, and division) with integers.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 7.6 The student will use proportions to solve practical problems, which may include scale drawings, that contain rational numbers (whole numbers, fractions, and decimals), and percents.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 7.16 The student will create and solve problems involving the measures of central tendency (mean, median, mode) and the range of a set of data.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 7.17 The student, given a problem situation, will collect, analyze, display, and interpret data, using a variety of graphical methods, including a) frequency distributions; b) line plots; c) histograms; d) stem-and-leaf plots, e) box-and-whisker plots; and f) scattergrams.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 7.18 The student will make inferences, conjectures, and predictions based on the analysis of a set of data.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 7.20 The student will write verbal expressions as algebraic expressions and sentences as equations.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 8.3 The student will solve practical problems involving rational numbers, percents, ratios, and proportions. Problems will be of varying complexities, involving real-life data, such as finding a discount and discount prices and balancing a checkbook.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 8.4 The student will apply the order of operations to evaluate algebraic expressions for given replacement values of the variables. Problems will be limited to positive exponents.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 8.12 The student will make comparisons, predictions, and inferences, using information displayed in frequency distributions; box-and-whisker plots; scattergrams; line, bar, circle, and picture graphs; and histograms.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 8.14 The student will a) describe and represent relations and functions, using tables, graphs, and rules; and b) relate and compare tables, graphs, and rules as different forms of representation for relationships
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 8.15 The student will solve two-step equations and inequalities in one variable, using concrete materials, pictorial representations, and paper and pencil.
| Teaches Concept |
Reinforces Concept |
Connects Concept |
Math 8.17 The student will create and solve problems using proportions, formulas, and functions.
| Teaches Concept |
Reinforces Concept |
Connects Concept |