• Math in Focus - Singapore Math

    Chapter titles are in red.  Common core standards for each chapter are included in a bulleted list.  Chapter specific vocabulary is also listed.


    Numbers to 5

    • Identify attributes that are the same and different in a set of objects or pictures
    • Count to 5 and write the numerals for these numbers


    one, two, three, four, five, same, different, blue, red, green, yellow, black, white, big, small, long, short, tall


    Numbers to 10

    • Count from 0 to 10 and write the numerals for these numbers
    • Compare two sets using one-to-one correspondence


    six, seven, eight, nine, ten, one more, one less, the same number


    Order by Size, Length, or Weight

    • Compare and order objects by size, length, and weight through sight and feel


    same size, different size, biggest, middle-sized, smallest, bigger than, taller than, smaller than, shorter than, longest, shortest, heaviest, lightest, heavier, lighter


    Counting and Numbers 0 to 10

    • Use the counting sequence to find one more and one less than a given number


    •  Count to 10 and write the numerals for these numbers


    one more, one less, fewer


    Size and Position

    • Recognize big and small things
    • Use prepositions to describe position


    big, bigger, small, smaller, same size, on top of, under, next to, behind, between, beside, in front of, in back of, inside, outside, before, after


    Numbers 0 – 20

    • Count to 20
    • Compare numbers to 20


    ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen, twenty, more, fewer, greater than, less than


     Solid and Flat Shapes

    • Identify circles, triangles, squares, rectangles and hexagons


    face, edge, corner, big, small, shape pattern, cube, cone, cylinder, sphere, pyramid, circle, triangle, square, rectangle, hexagon


    Numbers to 100

    • Count from 0 to 10 and write numerals for these numbers
    • Compare to sets using one-to-one correspondence


    pairs, twos, fives, tally, ten, twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety, hundred, tens


    Comparing Sets

    • Compare two sets one-to-one to find the difference in the number of objects


    fewer, less, more, most, fewest


    Ordinal Numbers

    • Order small sets using first, second, third, and last


    first, next, last, second, third, before, after


    Calendar Patterns

    • Recognize the names of days of the week and months of the year
    • Recognize the pattern in the days and months


    day, week, Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, today, tomorrow, yesterday, month, year, January, February, March, April, May, June, July, August, September, October, November, December, warmer, cooler


    Counting On and Counting Back

    • Count on to 10; count back from 10



    • Create and extend patterns of shapes 


    repeating pattern, pattern unit


    Number Facts

    • Count numbers to 20 and write the numerals
    • Count on to find how many more are needed


    Length and Height

    • Compare lengths using words such as long, longer, and longest


    long, longer, longest, short, shorter, shortest, tall, taller, tallest


    Classifying and Sorting

    • Sort and classify objects by two or three attributes


    color, shape, size, pattern, same, different, sort


    Addition Stories

    • Write addition sentences for joining situations


    plus, is equal to, number sentence


    Subtraction Stories

    • Write subtraction stories for separating situations
    • Compare two numbers using one-to-one correspondence and write the number sentence


    minus, left, how many more



    • Compare objects of different weights and capacities
    • Compare duration of events


    heavy, heavier, light, lighter, holds more, holds less, hold the same amount, more time, less time



    • Identify penny, nickel, dime, and quarter
    • Understand how to use pennies, nickels, and dimes to purchase objects less than 10 cents


    penny, nickel, dime, quarter, cent, change