Central Bucks School District Elementary Mathematics Curriculum

Mathematics

As new knowledge, tools, and ways of doing and communicating mathematics continue to evolve, the need to understand and be able to use mathematics in everyday life has never been greater. To this end, our elementary math program is built upon the Central Bucks Academic Standards for Math, which are to:

Understand and Apply Concepts Related to Numbers, Number Systems, and Number Relationships.
Understand and Apply Concepts Related to Computation and Estimation.
Understand and Apply Concepts Related to Measurement and Estimation
Apply Mathematical Reasoning to Make Mathematical Connections with Other Disciplines
Select and Communicate Appropriate Problem Solving Strategies
Solve Problems Using Statistics and Data Analysis
Understand and Apply Concepts Related to Probability and Its Role in Making Predictions.
Use Algebraic Methods to Describe Patterns and Functions.
Understand and Apply the Space and Dimensionality Concepts of Geometry.
Understand and Apply Concepts Related to Trigonometry.
Understand and Apply concepts Related to Calculus

Kindergarten	Grade 1	Grade 2	Grade 3	Grade 4	Grade 5	Grade 6

	Kindergarten § Estimate comfortably. § Perform interrupted verbal counting beyond 100. § Count backward from 22 or higher. § Count by 2s beyond 30. § Count by 5s beyond 110. § Count by 10s beyond 110. § Verbally count 20 or more objects in a random arrangement. § Read and write any number, 100 or less. § Recognize many non-computational uses of numbers through daily experiences. § Understand basic meaning of addition and subtraction in real situations. § Perform simple data collection and graphing. § Know the value of a penny, nickel, and dime; recognize a quarter. § Estimate times on an analog clock using only the hour hand. § Make and continue three part patterns. § Recognize and name basic plane and solid figures.
	Grade 1 § Count by 2s to 50 and 5s to 100. § Read and write 2-digit numbers. § Order and compare numbers to 100. § Understand place value for tens and ones. § Find sums and missing addends. § Know addition and subtraction facts to 18. § Add/subtract using a number grid. § Understand meaning of addition and subtraction. § Use symbols +, -, =. § Write and solve addition and subtraction number stories. § Find equivalent names for numbers. § Sort and identify objects by attributes. § Calculate the values of combinations of pennies, nickels, and dimes. § Show money amounts with coins. § Tell time on the hour, and ½ hour. § Measure to the nearest inch. § Apply and explain problem solving strategies. § Exchange pennies for nickels. § Find patterns in +/- facts.
	Grade 2 § Order and compare 2-digit numbers and read up to 4-digit numbers. § Know and express automatically the values of digits in 2-, 3-, and 4-digit numbers. § Know addition/subtraction facts. § Add/subtract with multiples of 10. § Add three 1-digit numbers mentally. § Solve addition/subtraction number stories. § Know multiplication facts. § Multiply numbers with 0 or 1 as a factor. § Solve equal grouping and equal sharing division stories. § Shade and give the name for a specified fractional part of a region. § Find equivalent fractions for given fractions. § Compare fractions less than one. § Tell time to 5-minute intervals. § Compare hour and minute hands. § Identify equivalencies for inches, feet, and yards. § Use a ruler, tape measure, and meter/yardstick correctly. § Read/write money amounts in decimal notation. § Exchange pennies, nickels, dimes, and quarters. § Calculate values of coin and bill combinations. § Demonstrate calendar concepts and skills. § Apply and explain problem solving strategies.
	Grade 3 § Count by 10s, 100s, and 1000s. § Apply place value concepts in 4-digit numbers. § Find equivalent names for numbers. § Read, write, and compare whole numbers up to 5 digits. § Understand the meaning of fractions. § Find equivalent fractions for given fractions. § Solve addition/subtraction multi-digit number stories. § Add/subtract multi-digit numbers. § Understand the concepts of multiplication as arrays and fact families for 0, 1, 2, 5 and 10. § Solve equal grouping and equal sharing number stories. § Find patterns in multiples of 10, 100, and 1000. § Calculate values of combinations of bills and coins; write total in dollar and cents notation. § Measure to the nearest centimeter and ¼ inch, foot, and yard. § Identify basic equivalencies for linear measurement. § Tell time to the nearest minute. § Use the Fahrenheit and Celsius temperature scale. § Identify and use number patterns to solve problems. § Apply and explain problem solving strategies. § Understand and use the language of probability. § Use fractions to record probabilities of events. § Identify right angles, polygons, and lines of symmetry.
	Grade 4 § Understand the function and placement of parentheses in number sentences. § Read and write numerals to hundred-millions; give the value of the digits in numeral to hundred-millions. § Give equivalencies between hundredths (fraction, decimal, percent). § Have a successful strategy for adding/subtracting multi-digit numbers. § Know multiplication, extended multiplication, and division facts. § Understand relationship between multiplication and division. § Solve whole-number division problems. § Solve multiplication and division number stories. § Find equivalent fractions for given fractions. § Identify the whole for fractions and fractional parts of a group. § Round whole numbers to a given place. § Solve multiplication/division problems involving multiples of 10, 100, and 1000. § Apply and explain problem solving strategies. § Name, draw, and label line segments (to the nearest cm. and ¼ inch), lines, and rays. § Name, draw, and label angles, triangles, and quadrangles. § Identify and describe right angles, parallel lines, and line segments. § Display data with a line plot, bar graph, or tally chart. § Use statistical landmarks, maximum, and minimum. § Find area of a figure by counting unit squares and fractions of unit squares inside the figure.
	Grade 5 § Find the factors of a number. § Know place value to billions, trillions. § Know place value to hundredths, thousandths. § Determine whether number sentences are true or false. § Understand the function and placement of parentheses in number sentences. § Convert between fractions, decimals, mixed numbers, and percents. § Find common denominators. § Write and solve number sentences with variables. § Rename numbers written in exponential notation. § Compare, order, add, and subtract integers and fractions. § Round decimals to a given place. § Measure to nearest 1/16 of an inch. § Apply and explain problem solving strategies. § Write algebraic expressions to represent situations. § Use formulas to find areas of rectangles, polygons, circles, and bases of prisms. § Distinguish between circumference and area of a circle. § Understand the concepts of area and volume of a figure. § Plot ordered pairs on a one-quadrant coordinate grid. § Identify and use maximum, minimum, median, mode, and mean for a data set. § Interpret mystery line plots and graphs. § Understand and use tree diagrams to solve problems.
	Grade 6 § Read, write, and compare numbers from thousandths to trillions. § Understand/apply order of operations to evaluate expressions and solve number sentences. § Add, subtract, multiply, and divide integers and decimals. § Use an algorithm to multiply and divide fractions and mixed numbers. § Use an algorithm to add/subtract fractions and mixed numbers with like/unlike denominators. § Convert between fractions, mixed numbers, decimals, and percents. § Write fractions in simplest form. § Find the greatest common factor and least common multiple of two numbers. § Apply the distributive property. § Use a percent circle to construct and interpret circle graphs. § Use rate tables, ratio, and proportion to solve problems. § Apply and explain problem solving strategies. § Understand and use probability concepts. § Write and solve equations that represent problem situations. § Determine the value of a variable and solve for 1- and 2-step equations. § Represent and solve problems using rates with formulas, tables, and graphs. § Evaluate algebraic expressions and formulas. § Apply properties of sums of angle measures of triangles and quadrangles. § Measure and construct angles. § Solve perimeter, circumference, area and volume and capacity problems.

CBSD Mathematics Website

Central Bucks School District
20 Welden Drive Doylestown, PA 18901
(267) 893-2000 Contact Us.