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Mathematics // Multiplication & Division
Multiply & Add ProblemsSolve problems involving multiplying and adding, including using the distributive law, integer scaling problems, and harder correspondence problems
Ages 8 to 9MethodMathematics // Multiplication & Division
Multiplying by TensMultiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations
Ages 8 to 9MethodMathematics // Multiplication & Division
Mental multiplication and divisionUse place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1, dividing by 1, and multiplying together three…
Ages 8 to 9MethodMathematics // Multiplication & Division
Multiplication and Division Word ProblemsUse multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities
Ages 8 to 9MethodMathematics // Multiplication & Division
Unknown in Multiplication & DivisionDetermine the unknown whole number in a multiplication or division equation relating three whole numbers (e.g. 8 × ? = 48, ? × 6 = 42)
Ages 8 to 9MethodMathematics // Multiplication & Division
Long multiplicationMultiply a whole number of up to four digits by a one-digit number, and multiply two two-digit numbers, using formal written methods including long…
Ages 9 to 10MethodMathematics // Multiplication & Division
Division with remaindersSolve multi-step word problems using the four operations with whole numbers, including interpreting remainders in context; represent with equations using a…
Ages 9 to 10MethodMathematics // Multiplication & Division
Short division with remaindersDivide numbers up to four digits by a one-digit number using short division (and place-value/array strategies); interpret remainders appropriately for the…
Ages 9 to 10MethodMathematics // Multiplication & Division
Multiplying and dividingMultiply and divide whole numbers and those involving decimals by 10, 100, and 1000
Ages 9 to 10MethodMathematics // Multiplication & Division
Shape patternsGenerate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they…
Ages 9 to 10MethodMathematics // Multiplication & Division
Understanding fractionsSolve problems involving scaling by simple fractions and problems involving simple rates
Ages 9 to 10MethodMathematics // Multiplication & Division
Factors, multiples, and primes (age 9+)Solve problems involving multiplication and division using knowledge of factors, multiples, squares, and cubes
Ages 9 to 10MethodMathematics // Multiplication & Division
Mental multiplication and division (age 9+)Multiply and divide numbers mentally drawing upon known facts, including related facts and place-value adjustments
Ages 9 to 10MethodMathematics // Multiplication & Division
Multiplicative ComparisonSolve word problems involving multiplicative comparison using drawings and equations with a symbol for the unknown number
Ages 9 to 10MethodMathematics // Number Representation & Place Value
Ordering Numbers to 1000Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding
Ages 7 to 8MethodMathematics // Number Representation & Place Value
Reading and writing numbers to 1000Read and write numbers to 1000 in numerals, number names, and expanded form
Ages 7 to 8MethodMathematics // Number Representation & Place Value
10 or 100 More or LessFind 10 or 100 more or less than a given number up to 1000
Ages 7 to 8MethodMathematics // Number Representation & Place Value
Comparing Large NumbersOrder and compare numbers beyond 1000
Ages 8 to 9MethodMathematics // Number Representation & Place Value
Rounding to 10, 100, 1000Round any number to the nearest 10, 100, or 1000
Ages 8 to 9MethodMathematics // Number Representation & Place Value
1000 More or LessFind 1000 more or less than a given number
Ages 8 to 9MethodMathematics // 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 10MethodMathematics // Number Representation & Place Value
Rounding Large NumbersRound 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 10MethodMathematics // Number Representation & Place Value
Working with Large NumbersSolve number and practical problems involving reading, writing, ordering, comparing, and rounding whole numbers up to 1,000,000
Ages 9 to 10MethodMathematics // 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