Roanoke County Public Schools K-5 Mathematics Vertical Articulation
Roanoke County Public Schools K-5 Mathematics Vertical ArticulationNumber and Number Sense
K / 1 / 2 / 3 / 4 / 5
K.1
Count orally, read, write, and represent the whole numbers 0 through 20. / 1.1
Count orally, write, in and out of sequence for whole numbers 0 to 110. / 2.2
Count forward by 2s, 5s, and 10s to 120 starting at multiples of 2s, 5s, and 10s.
K.2
Compare/describe sets of ≤ 10 using more, fewer, or same. Compare/order from least to greatest and greatest to least. / 1.2
Group up to 110 objects into 10s and 1s and write the number. Compare sets of ≤110 using greater than, less than, or equal to. Order least to greatest and greatest to least. / 2.1
Read, write, and identify place and value of digits in 3-digit numbers. Identify the number that is 10 more, 10 less, 100 more, and 100 less than numbers up to 999. Compare/order numbers ≤999. Round 2-digit numbers to the nearest 10. / 3.1
Read, write, and identify place and value of digits in 6-digit numbers. Round whole numbers ≤9,999 to the nearest ten, hundred, and thousand. Compare/order whole numbers ≤9,999. / 4.1
Read, write, and identify place and value of digits in 9-digit numbers. Compare and order whole numbers through millions. Round whole numbers through millions to the nearest thousand, ten thousand, and hundred thousand.
4.3
Read, write, represent, identify, compare, and order decimals through the thousandths. Round decimals to the nearest whole number. Write decimal and fraction equivalents. / 5.1
Round decimals through the thousandths to nearest whole number, tenth, or hundredth.
K.3
Count forward orally from 0 to 100 by 1s and 10s. Count backwards orally by 1s when given any whole number between 1 and 10. Determine the next number after a given number ≤100. Identify the number before a given number ≤10. / 1.1
Count backward orally between 1 and 30, count forward by 1s, 2s, 5s, and 10s up to 110. / 2.2
Count backwards from 120. Recognize even and odd numbers. / 5.3
Identify and describe prime and composite numbers and even and odd numbers.
1.3
Given a set of 10 objects write the ordinal position 1st-10th. / 2.3
Given a set of 20 objects write the ordinal position 1st-20th.
K.5
Investigate and describe fractions involving two equal sharers. / 1.4
Investigate and describe fractions with 2 or 4 sharers and identify fractions of halves and fourths. / 2.4
Name, write, represent (with models and symbols), and compare fractions of halves, fourths, eighths, thirds, and sixths. / 3.2
Name, write, and represent fractions and mixed numbers with models and symbols. Compare fractions with like and unlike denominators using words and symbols (>,<,=,≠). / 4.2
Compare and order fractions and mixed numbers. Represent equivalent fractions. Identify that a fraction is a division statement. / 5.2
Represent and identify equivalencies with fractions and decimals (with and without models). Compare and order fractions, mixed numbers, and/or decimals, in a given set, from least to greatest and greatest to least.
K.4
Recognize and describe part-whole relationships up to 5. Investigate and describe part-whole relationships up to 10.(See Computation and Estimation Strand)
1.5
Find and explain a reasonable order of magnitude given 3 quantities: 1, 2, and 3-digit numbers.
Computation and Estimation
K / 1 / 2 / 3 / 4 / 5
K.6
Model and solve single-step problems with sums up to 10 and differences within 10. / 1.6
Create and solve single-step problems using addition and subtraction within 20.
K.4
Recognize and describe part-whole relationships up to 5. Investigate and describe part-whole relationships up to 10.
(From Number and Number Sense Strand) / 1.7
Part-whole relationships for numbers up to 10, fluency with addition and subtraction within 10. / 2.5
Recognize and use addition and subtraction to solve single-step problems within 20. Demonstrate fluency with addition and subtraction within 20.
2.6
Estimate sum and differences. Create and solve single-step and 2-step problems involving addition and subtraction of up to two digit numbers. / 3.3
Create and solve single and multi-step problems involving sums or differences of numbers ≤9,999. / 4.4b,d
Estimate and determine sums, differences, and products of whole numbers. Create and solve multi-step problems involving addition, subtraction, and multiplication and single-step division problems. / 5.4
Create and solve single and multi-step problems involving addition, subtraction, multiplication, and division.
3.4
Represent multiplication and division through 10x10. Create and solve single-step problems through 10x10. Demonstrate fluency with multiplication facts of 0,1,2,5,10. Solve single-step problems where one factor is ≤99 and the second is ≤5. / 4.4a,c
Demonstration fluency with multiplication and division facts through 12x12. Estimate and determine quotients of numbers with and without remainders.
4.5a
Determine common multiples and factors including LCM and GCF. / 5.4
Create and solve single and multi-step problems involving addition, subtraction, multiplication, and division.
3.5
Solve problems involving addition and subtraction with proper fractions having like denominators ≤12. / 4.5b,c
Add and subtraction fractions and mixed numbers with like and unlike denominators. Solve single-step problems involving addition and subtraction with fractions and mixed numbers. / 5.6
Solve single and multi-step problems with addition and subtraction with fractions and mixed numbers. Solve single-step problems with multiplication of a whole number ≤12 and a proper fraction with models.
4.6
Add and subtract decimals. Solve single-step and multi-step problems using addition and subtraction with decimals. / 5.5
Estimate and determine the product and quotient of two decimal numbers. Create and solve single-step and multi-step problems with addition, subtraction, and multiplication of decimals. Create and solve single-step problems with division of decimals.
5.7
Simplify whole number expressions using order of operations.
Measurement and Geometry
K / 1 / 2 / 3 / 4 / 5
K.7
Recognize a penny, nickel, dime, and quarter. Identify the number of pennies equal to a nickel, dime, and quarter. / 1.8
Determine the value of a collection of like coins with a sum ≤100 cents. / 2.7
Count and compare a collection of pennies, nickels, dimes, and quarters with a sum ≤$2.00. Use the cent symbol, dollar symbol, and decimal point to write value of money. / 3.6
Determine the value of a collection of coins with sum ≤$5.00. Compare the value of two sets of coins and bills. Make change from ≤$5.00
1.9a
Investigate and tell time to the hour and ½ hour using analog and digital clocks. / 2.9
Tell and write time to the nearest 5 minutes using analog and digital clocks. / 3.9a,b,c
Tell time to the nearest minute using analog and digital clocks. Solve problems with elapsed time in 1-hour increments within 12-hour periods. Identify and solve problems with equivalent periods of time. / 4.9
Solve problems with elapsed time in hours and minutes within a 12-hour period. / 5.11
Solve problems with elapsed time in hours and minutes within a 24-hour period.
K.8
Investigate passage of time by reading and interpreting a calendar. / 1.9b
Investigate passage of time by reading and interpreting a calendar. / 2.10
Determine past/future days of the week. Identify specific days and dates on a calendar. / 3.9c
Identify and solve problems with equivalent periods of time observed on a calendar.
K.9
Compare two objects/events using comparisons of length, height, width, temperature, volume, and time. / 1.10
Use nonstandard units to measure and compare length, weight, and volume. / 2.8
Estimate and measure length to nearest inch and weight to nearest pound. / 3.7
Estimate and measure using US Customary and metric units to find length to the nearest ½ inch, inch, foot, yard, centimeter, and meter. Estimate and measure liquid volume in cups, pints, quarts, gallons, and liters. / 4.8
Estimate, measure, and describe results in US Customary and metric units of length and weight/mass. ID equivalent measures of length, weight/mass, and liquid volume in the US customary system. Solve problems using length, weight/mass, and liquid volume in the US Customary system. / 5.9
Identify equivalent measurements in the metric system. Solve problems using length, mass, and liquid volume using metric units.
3.8
Estimate and measure perimeter of polygons using US Customary and metric units. Count square units to find area. / 4.7
Solve problems involving perimeter and area in US Customary and metric units. / 5.8
Solve problems with perimeter, area, and volume in standard units. Identify when perimeter, area, or volume is appropriate.
2.11
Read temperature to the nearest 10 degrees (F) / 3.10
Read temperature to the nearest degree (C and F)
K.10
Identify, describe, compare size, and describe relative location of plane figures (circle, triangle, square, and rectangle). Describe the location of one object in relation to another (above, below, next to) regardless of their position or orientation. / 1.11
Identify, trace, describe, and sort plane figures (circles, triangles, squares, and rectangles) by number of sides, vertices, and angles. Identify, describe, and explain plane figures in different environments regardless of orientation. / 2.13
Identify, describe, compare, and contrast plane and solid figures (circles/spheres, squares/cubes, and rectangles/rectangular prisms). / 4.11
Identify, describe, compare, and contrast plane and solid figures by their characteristics (number of angles, vertices, edges, and shape of faces). / 5.13a
Classify triangles as right, acute, or obtuse and equilateral, isosceles, or scalene.
2.12
Draw a line of symmetry. Identify and create figures with at least one line of symmetry. / 5.14a
Recognize and apply transformations.
3.11
Identify and draw points, lines, line segments, rays, and angles. / 4.10
Identify and describe points, lines, line segments, rays, angles, endpoints, vertices; and intersecting, parallel, and perpendicular lines. / 5.10
Identify and describe diameter, radius, chord, and circumference of circles.
5.12
Classify and measure right, acute, obtuse, and straight angles.
3.12
Define polygon. Identify and name polygons with ≤10 sides. Name the combination and subdivision of polygons with 3 or 4 sides. / 4.12
Classify quadrilaterals as parallelograms, rectangles, squares, rhombi, and trapezoids. / 5.13b
Investigate sum of interior angles in a triangle and determine unknown angle measure.
5.14b
Investigate combining and subdividing polygons.
3.13
Identify and describe congruent and noncongruent figures.
Probability and Statistics
K / 1 / 2 / 3 / 4 / 5
K.11
Collect, organize, and represent data. Read and interpret data in picture graphs, object graphs, and tables. / 1.12
Collect, organize, and represent data using tables, picture graphs, and object graphs. Read and interpret data in tables, picture graphs, and object graphs using more, less, fewer, greater than, less than, and equal to. / 2.15
Collect, organize, and represent data in pictographs and bar graphs. Read and interpret data in pictographs and bar graphs. / 3.15
Collect, organize, represent, read, and interpret data in pictographs or bar graphs. / 4.14
Collect, organize, represent, and interpret data in bar graphs and line graphs. Compare two representations of same data. / 5.16
Represent, interpret, and compare data in line plots and stem-and-leaf plots.
2.14
Use data from probability experiments to predict future outcomes when experiment is repeated. / 3.14
Investigate and describe probability as chance. List possible outcomes for a single event. / 4.13
Determine likelihood of the outcome of a simple event. Represent probability as number between 0 and 1 inclusive. Create a model or problem to represent a given probability. / 5.15
Determine probability of an outcome using sample spaces or Fundamental (Basic) Counting Principal.
5.17
Describe and determine mean, median, and mode as measures of center. Describe mean as fair share. Describe the range of a set of data as a measure of spread of a data set.
K.12
Sort and classify objects according to one attribute. / 1.13
Sort and classify objects according to one or two attributes.
Patterns, Functions, and Algebra
K / 1 / 2 / 3 / 4 / 5
K.13
Identify, describe, extend, create, and transfer repeating patterns. / 1.14
Identify, describe, extend, create, and transfer growing and repeating patterns. / 2.16
Identify, describe, create, extend, and transfer patterns in objects, pictures, and numbers. / 3.16
Identify, describe, create, and extend patterns in objects, pictures, numbers, and tables. / 4.15
Identify, describe, create, and extend patterns in objects, pictures, numbers, and tables. / 5.18
Identify, describe, create, express, and extend number patterns in objects, pictures, numbers, and tables.
1.15
Demonstrate understanding of equality with the equal symbol. / 2.17
Demonstrate understanding of equality with equal and not equal symbols. / 3.17
Create equations to represent equivalent relationships. / 4.16
Recognize and demonstrate meaning of equality in equations. / 5.19
Investigate and describe a variable. Write equations using a variable. Use an expression with a variable to represent a verbal expression of one operation. Create a problem from an equation with a variable and one operation.