NS Kindergarten 1 Grade 2 Grade 3 Grade 4 Grade 5 A Know the number and the count sequence. Understand and use numbers up to 120. to 100 by ones and tens. Count to 120, starting at any number less than 120. Count forward beginning from a given number between 1 and 20. Read and write numerals and represent a number of objects with a written numeral. Count backward from a given number between 10 and 1. Count backward from a given number between 20 and 1. Read and write numerals and represent a number of objects from 0 to 20. Count by 5s to 100 starting at any multiple of five. NS Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 B Understand the relationship between numbers and quantities; connect counting to cardinality.
Kindergarten Grade 1 2 Grade 3 Grade 4 Grade 5 A Work with numbers 11 – 19 to gain foundations for place value. Understand place value of two-digit numbers. Understand place value of three digit numbers. Use place value understanding and properties of operations to perform multi-digit arithmetic. Use place value understanding and properties of operations to perform multi-digit arithmetic with numbers up to one million. Use place value system understanding to perform operations with multi-digit whole numbers to billions and decimals to thousandths. Compose and decompose numbers from 11 to 19 into sets of tens with additional ones. Understand that 10 can be thought of as a bundle of 10 ones – called a “ten”. Understand three-digit numbers are composed of hundreds, tens and ones. Round whole numbers to the nearest 10 or 100. Round multi-digit whole numbers to any place. Read, write and identify numbers from billions to thousandths using number names, base ten numerals and expanded form. Understand two-digit numbers are composed of ten(s) and one(s). Understand that 100 can be thought of as 10 tens – called a “hundred”. Read, and identify whole numbers within 100,000 using base ten numerals, number names and expanded form. Read, and identify multi-digit whole numbers up to one million using number names, base ten numerals and expanded form. Compare two numbers from billions to thousandths using the symbols >, = or <, and justify the solution. Compare two two-digit numbers using the symbols >, = or <. Count within 1000 by 1s, 10s and 100s starting with any number. Demonstrate fluency with addition and subtraction within 1000. Compare two multi-digit numbers using the symbols >, = or <, and justify the solution. Understand that in a multi-digit number, a digit represents 1/10 times what it would represents in the place to its left. by 10s to 120 starting at any number. Read and write numbers to 1000 using number names, base-ten numerals and expanded form. Multiply whole numbers by multiples of 10 in the range 10-90. Understand that in a multi-digit whole number, a digit represents 10 times what it would Evaluate the value of powers of 10 and understand the relationship to the place value system.
Kindergarten 1 Grade 2 Grade 3 Grade 4 Grade 5 B Understand and apply properties of operations and the relationship between addition and subtraction. Develop foundations for multiplication and division. Understand properties of multiplication and the relationship between multiplication and division. Work with factors and multiples. Write and interpret numerical expressions. Use properties as strategies to add and subtract. Determine if a set of objects has an odd or even number of members. Count by 2s to 100 starting with any even number. Express even numbers as pairings/groups of 2, and write an expression to represent the number using addends of 2. Express even numbers as composed of equal groups and write an expression to represent the number with 2 equal addends. Apply properties of operations as strategies to multiply and divide. Recognize that a number is a multiple of each of its factors and find the multiples for a given whole number. Write, evaluate and interpret numeric expressions using the order of operations.
Add and subtract within 20. Multiply and divide with numbers and results within 100 using strategies such as the relationship between multiplication and division or properties of operations. Know all products of two one-digit numbers. Generate a number pattern that follows a given rule. Solve and justify problems involving variables, whole numbers, fractions and decimals.
Kindergarten Grade 1 Grade 2 3 Grade 4 Grade 5 Reason with shapes and their attributes. Reason with shapes and their attributes. Reason with shapes and their attributes. Reason with shapes and their attributes. Classify 2-dimensional shapes by properties of their lines and angles. Classify two- and geometric shapes. Describe several measureable attributes of objects. Distinguish between defining attributes versus non-defining attributes; build and draw shapes that possess defining attributes. Recognize and draw shapes having specified attributes, such as a given number of angles or sides. Identify triangles, quadrilaterals, pentagons, hexagons, circles and cubes. Identify the faces of three-dimensional objects. Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category. Draw and identify points, lines, line segments, rays, angles, perpendicular lines and parallel lines. Understand that attributes belonging to a category of figures also belong to all subcategories. Compare the measurable attributes of two objects. Compose and decompose two- and shapes to build an understanding of part-whole relationships and the properties of the original and composite shapes. Partition a rectangle into rows and columns of same-size squares and count to find the total number of squares. Distinguish rhombuses and rectangles as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to subcategories. Classify two-dimensional shapes by their sides and/or angles. Classify figures in a hierarchy based on properties.
Recognize two- and shapes from different perspectives and orientations. Partition circles and rectangles into two, three or four equal shares, and describe the shares and the whole. Demonstrate that equal shares of identical wholes need not have the same shape. Partition shapes into parts with equal areas, and express the area of each part as a unit fraction of the whole. Construct lines of symmetry for a figure. Analyze and describe the properties of prisms and pyramids. Partition circles and rectangles into two or four shares, and describe the shares and the wholes verbally. Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 B Work with time and money. Measure lengths in Measure and estimate lengths in standard units. Solve problems involving the measurement of time, liquid volumes and weights of objects. Understand the concepts of and measure angles. Understand and compute volume.
Demonstrate an understanding of concepts of time and devices that measure time. Order three or more objects by length. Measure the length of an object by selecting and using appropriate tools. Tell and write time to the nearest minute. Identify and estimate angles and measure. Understand the concept of volume and recognize that volume is measured in cubic units. Describe a cube with edge length 1 unit as a “unit cube” and is said to have “one cubic unit” of volume and can be used to measure volume. Understand that the volume of a right rectangular prism can be found by stacking multiple layers of the base. Name the days of the week. Compare the lengths of two objects indirectly by a third object. Analyze the results of measuring the same object with different units. Estimate time intervals in minutes. Draw and measure angles in whole-number degrees using a protractor. Apply the formulas V = l × w × h and V = B × h for volume of right rectangular prisms with whole-number edge lengths. Identify pennies, nickels, dimes and quarters. Demonstrate the ability to measure length or distance using objects. Estimate lengths using units of inches, feet, yards, centimeters and meters. problems involving addition and subtraction of minutes. Measure to determine how much longer one object is than another. Measure or estimate length, liquid volume and weight of objects.
Use the four operations to solve problems involving lengths, liquid volumes or weights given in the same units. Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 C Analyze squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders and spheres. Work with time and money. Relate addition and subtraction to length. Understand concepts of area. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. Graph points on the Cartesian coordinate plane within the first quadrant to solve problems.
Draw or model simple two-dimensional shapes. Multiply whole-number side lengths to solve problems involving the area of rectangles. Compose simple shapes to form larger shapes using manipulatives. Find rectangular arrangements that can be formed for a area. Decompose a rectangle into smaller rectangles to find the area of the original rectangle. Kindergarten Grade 1 2 Grade 3 Grade 4 Grade 5 D Work with time and money. Understand concepts of perimeter. Solve problems involving measurement and conversions within a measurement system. Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. Solve problems involving perimeters of polygons. Convert measurements of capacity, length and weight within a given measurement system. Describe a time shown on a digital clock as representing hours and minutes, and relate a time shown on a digital clock to the same time on an analog clock. Understand that rectangles can have equal perimeters but different areas, or rectangles can have equal areas but different perimeters. Solve multi-step problems that require measurement conversions.
DS Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 A Classify objects and the number of objects in each category. Represent and interpret data. Represent and interpret data. Represent and analyze data. Represent and analyze data. Represent and analyze data. Classify objects into given categories; count the number of objects in each category. Collect, organize and represent data with up to three categories. Create a line plot to represent a set of numeric data, given a horizontal scale marked in whole numbers. Create frequency tables, scaled picture graphs and bar graphs to represent a data set with several categories. Create a frequency table and/or line plot to display measurement data. Create a line graph to represent a data set, and analyze the data to answer questions and solve problems. Compare category counts using appropriate language. Draw conclusions from object graphs, picture graphs, T-charts and tallies. Generate measurement data to the nearest whole unit, and display the data in a line plot. Solve one- and two-step problems using information presented in bar and/or picture graphs. problems involving addition and subtraction by using information presented in a data display. Create a line plot to represent a given or generated data set, and analyze the data to answer questions and solve problems, recognizing the outliers and generating the median. Draw a picture graph or a bar graph to represent a data set with up to four categories. Create a line plot to represent data. Analyze the data in a frequency table, line plot, bar graph or picture graph. problems using information presented in line plots, picture graphs and bar graphs. Use data shown in a line plot to answer questions. Draw conclusions from line plots, picture graphs and bar graphs.