WALPOLE PUBLIC SCHOOLS
MATHEMATICS
GRADES K-5
Curriculum Summary
These curriculum summaries have been developed by teachers and administrators to serve as another way of communicating with parents. They highlight the core curriculum and expectations for student learning at each grade level.
The curriculum summaries describe what most students at a grade level are expected to know and be able to do by the end of the school year. They also reflect the goals of the various Massachusetts Curriculum Frameworks. It is important to note that although children may learn and grow at different rates and through varied styles, all should make regular progress.
While we have high expectations for all students and encourage each student to work to their capacity, parents and teachers recognize that some students have more difficulty in school. Others will progress more rapidly and move well beyond these core expectations. It is the joint responsibility of school and home to provide support, challenge, and encouragement for all students.
Grade K
Students will
count to 100 by ones and tens.
count forward given any number in a set.
write numbers from 0-20.
count objects demonstrating one to one correspondence between object and number.
identify the last number counted in a set represents the total.
count to answer “how many?” 0-20.
compare number of objects between two groups (0-10); greater than, less than or equal to.
compare two numbers in a set- 1-10.
represent with objects, fingers, mental images, drawings, sounds that addition is putting together and adding to and subtraction is taking apart and taking from.
fluently add and subtract within 5.
solve addition and subtraction word problems within 10- using objects or drawings.
identify number families (5=2+3, 5=3+2, 5=1+4, 5=4+1, etc.) with numbers 1-10.
for any number 1-9, add to make 10, i.e. 2+8, 6+4, etc.
understand that number 11-19 are composed of a group of ten and some ones.
describe length and weight of objects.
compare measurable attributes of objects to find out more/less, taller, shorter, etc.
sort objects by common attribute- count and compare.
identify two dimensional and three dimensional shapes.
describe relative positions of objects (above, below, behind, beside, next to, in front of).
create and compose shapes.
Grade 1
Students will
Numbers and Operations in Base Ten
count, read, write, and represent numbers up to 120.
understand place value in our base ten number system.
compare two digit numbers.
use place value and properties of operations to add or subtract.
Operations and Algebraic Thinking
apply problem solving strategies using addition and subtraction with numbers up to 20.
demonstrate fluency for addition and subtraction within 10.
add and subtract within 20, composing and decomposing numbers using 10 as a landmark number.
write and solve number sentences involving addition and subtraction within 20.
Measurement and Data
organize, represent, and interpret data on a graph or chart.
identify equal shares with fractions e.g. ½, ¼.
tells time to the hour and half hour.
calculate the value of all US coins and makes exchanges, i.e. 2 nickels equals 1 dime.
measure and compare the length of an object using nonstandard units.
Geometry
describe attributes of two and three dimensional shapes .
Grade 2
Students will
count within 1000, skip count by 5s, 10s and 100s.
understand place value and the base ten number system to 1000.
compare three digit numbers using >, <, and =.
fluently add and subtract within 20 using mental strategies.
determine odd and even numbers within 20, write an equation to express an even number.
use addition to find the total in a rectangular array with up to 5 rows and 5 columns.
add and subtract within 100 to solve one and two step word problems.
fluently add and subtract within 100 using place value and properties of operations.
mentally add or subtract 10 or 100 to any given number 100-900.
measure and estimate length of objects using rulers, meter sticks, measuring tapes to the nearest inch, foot, centimeter, and meter.
tell and write time from analog and digital clocks to the nearest five minutes using a.m. and p.m., know how many seconds in a minute, minutes in an hour, hours in a day, days in a week, a month, a year, and weeks in month and year.
solve words problems with money using $ and ¢ accurately.
show measurements on a line plot.
draw a picture graph and a bar graph to represent data with up to four categories.
identify triangles, quadrilaterals, pentagons, hexagons by number of angles and three dimensional shapes by number of faces.
partition a rectangle into equal rows and columns of squares to find area.
partition circles and rectangles into equal shares.
Grade 3
Students will
fluently add and subtract within 1000 using place value strategies and properties of operations.
use place value to round whole numbers to the nearest 10 or 100.
multiply one digit whole numbers by multiples of 10 in the range 10-90 (e.g. 8x50, 9x80).
memorize all products of two one-digit numbers.
fluently multiply and divide within 100.
understand inverse relationship between multiplication and division.
understand commutative, associative, and distributive properties.
explain a whole number product and quotient.
use multiplication and division within 100 to solve word problems.
solve for the unknown number in an equation 15= x 3, 8x=32, 9= ÷4, 12=96÷.
solve two step word problems using the four operations.
identify arithmetic patterns (4 times a number is always even).
understand a fraction is part of a whole number partitioned equally.
represent a fraction on a number line.
identify and generate equivalent fractions.
compare fractions.
express whole numbers as fractions.
tell and write time to the nearest minute, solve word problems involving elapsed time.
measure and estimate liquid volume and mass using grams (g), kilograms (kg), and liters (l).
draw a scaled picture graph and bar graph representing a data set, solve problems using data from scaled graphs.
generate measurement data of length with marked whole numbers, halves, or quarters.
recognize area as an attribute of plane figures and understand concepts of area measurement.
measure areas by counting unit squares.
relate area to the operations of multiplication and addition.
solve real-world and mathematical problems involving perimeter of polygons.
understand that shapes in different categories may share attributes and the shared attributes can define a larger category.
partition shapes into parts with equal areas.
Grade 4
Students will
use the four operations to solve problems.
interpret a multiplication equation as a comparison -42 is 6 times as many as 7.
multiply or divide to solve word problem.
solve multistep word problems with remainders. Interpret remainders and the reasonableness of answers.
distinguish whether a number 1-100 is a prime or composite number.
generate a number or shape pattern that follows a given rule (input-output table).
read and write multi-digit whole number to the 1,000,000 place.
compare two multi-digit numbers.
round multi-digit number to any place value.
fluently add and subtract multi-digit whole numbers using the standard algorithm.
multiply a whole number of up to four digits by a one digit number, multiply two two-digit numbers.
know multiplication facts through 12x12.
find whole number quotients and remainders with up to four digit dividends and one digit divisors.
extend understanding of equivalent fractions.
compare fractions with unlike denominators.
build fractions from unit fractions, e.g. 2/8=1/8+1/8.
add and subtract mixed numbers with like denominators.
solve word problems by adding and subtracting fractions.
apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
understand decimal notations for fractions and compare two decimals.
solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
represent and interpret data.
recognize angles and measure angles.
draw and identify lines (parallel, perpendicular) and angles (right, acute, and obtuse) and classify shapes by properties of their lines and angles.
identify line symmetric figures and draw lines of symmetry.
Grade 5
Students will
write equations for numerical calculations that involve parentheses.
generate two numerical patterns using two rules.
understand the base ten number system including decimal numbers.
read, write, round, and compare decimals to the thousandths.
fluently multiply multi-digit whole numbers using the standard algorithm.
divide whole numbers by two digit divisors illustrate using equations, rectangular arrays, and area models.
add, subtract, multiply, and divide decimals to hundredths.
add and subtract fractions with unlike denominators.
solve word problems involving adding and subtracting of fractions.
solve real-world problems involving multiplication of fractions and mixed numbers.
divide unit fractions, e.g. 1/3 by whole numbers and whole numbers by unit fractions.
solve real world problems involving division by unit fractions.
use positive and negative integers to describe quantities.
convert standard measurement units- 5 cm=.05m.
make a line plot with a data set of measurements in fractions of a unit.
understand concepts of volume and relate volume to multiplication and addition.
graph points on a coordinate plane to solve real-world problems.
classify two dimensional figures into categories based on their properties.
Contacts
Brendan Dearborn, Boyden School Principal
Carrie Ruggiero, Elm Street School Principal
Brian Bemiss, Fisher School Principal
David Barner, Old Post Road School Principal