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  • Mathematics // Multiplication & Division

    Decimal place value

    Multiply one-digit numbers with up to two decimal places by whole numbers (e.g. 3.47 × 6)

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Division with Decimals

    Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Multi-step problems: choosing operations

    Solve problems involving addition, subtraction, multiplication, and division, deciding which operations and methods to use and why; solve multi-step problems in…

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Multiplying and dividing (age 10+)

    Multiply and divide numbers by 10, 100, and 1000 giving answers up to three decimal places, understanding that digits shift position in the place-value chart

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Mental calculation strategies

    Perform mental calculations including with mixed operations and large numbers, using strategies such as partitioning, compensation, and derived facts

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Dividing by two-digit numbers

    Divide numbers up to 4 digits by a two-digit number using formal written short division where appropriate, interpreting remainders according to context

    Ages 10 to 11Method
  • Mathematics // Multiplication & Division

    Sign Rules for Multiplication

    Multiply and divide with positive and negative integers and rational numbers, understanding the rules for the sign of the product or quotient

    Ages 11 to 13Method
  • Mathematics // Number Representation & Place Value

    Reading and writing numbers to 20

    Read and write numerals from 0 to 20

    Ages 5 to 6Method
  • Mathematics // Number Representation & Place Value

    Reading and writing numbers to 100

    Read and write numerals from 0 to 100

    Ages 5 to 6Method
  • Mathematics // Number Representation & Place Value

    Comparing and ordering numbers

    Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding

    Ages 6 to 7Method
  • Mathematics // Number Representation & Place Value

    10 More or 10 Less

    Mentally find 10 more or 10 less than a given two-digit number without counting

    Ages 6 to 7Method
  • Mathematics // Number Representation & Place Value

    Reading and writing numbers to 120

    Count to 120 starting at any number less than 120; read and write numerals to 120

    Ages 6 to 7Method
  • Mathematics // Number Representation & Place Value

    Ordering Numbers to 1000

    Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding

    Ages 7 to 8Method
  • Mathematics // Number Representation & Place Value

    Reading and writing numbers to 1000

    Read and write numbers to 1000 in numerals, number names, and expanded form

    Ages 7 to 8Method
  • Mathematics // Number Representation & Place Value

    10 or 100 More or Less

    Find 10 or 100 more or less than a given number up to 1000

    Ages 7 to 8Method
  • Mathematics // Number Representation & Place Value

    Comparing Large Numbers

    Order and compare numbers beyond 1000

    Ages 8 to 9Method
  • Mathematics // Number Representation & Place Value

    Rounding to 10, 100, 1000

    Round any number to the nearest 10, 100, or 1000

    Ages 8 to 9Method
  • Mathematics // Number Representation & Place Value

    1000 More or Less

    Find 1000 more or less than a given number

    Ages 8 to 9Method
  • Mathematics // Number Representation & Place Value

    Reading and writing numbers (age 9+)

    Read, write, order, and compare whole numbers up to at least 1,000,000 using base-ten numerals, number names, expanded form, and place-value understanding

    Ages 9 to 10Method
  • Mathematics // Number Representation & Place Value

    Rounding Large Numbers

    Round any whole number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000, or 100,000 using place-value understanding

    Ages 9 to 10Method
  • Mathematics // Number Representation & Place Value

    Working with Large Numbers

    Solve number and practical problems involving reading, writing, ordering, comparing, and rounding whole numbers up to 1,000,000

    Ages 9 to 10Method
  • Mathematics // Number Representation & Place Value

    Counting forwards and backwards (age 9+)

    Count forwards and backwards in steps of powers of 10 (10, 100, 1000, 10,000, 100,000) for any given number up to 1,000,000

    Ages 9 to 10Method
  • Mathematics // Number Representation & Place Value

    Reading and writing numbers (age 10+)

    Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form; compare using >, =, < based on place-value meaning

    Ages 10 to 11Method
  • Mathematics // Number Representation & Place Value

    Numbers to Ten Million

    Solve number and practical problems involving reading, writing, ordering, comparing, rounding, and negative numbers up to 10,000,000

    Ages 10 to 11Method