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Mathematics // Addition & Subtraction
Fluent adding and subtracting within 100Fluently add and subtract within 100 using strategies based on place value, properties of operations, and the relationship between addition and subtraction
Ages 7 to 8MethodMathematics // Addition & Subtraction
Fluent adding and subtracting within 20Fluently add and subtract within 20 using mental strategies; know from memory all sums of two one-digit numbers
Ages 7 to 8MethodMathematics // Addition & Subtraction
Addition and subtraction within 1000Add and subtract within 1000 using concrete models, drawings, and strategies based on place value; understand composing and decomposing tens and hundreds
Ages 7 to 8MethodMathematics // Addition & Subtraction
Adding and subtracting (age 7+)Add and subtract numbers with up to three digits using formal written methods of columnar addition and subtraction
Ages 7 to 8MethodMathematics // Addition & Subtraction
Estimating by roundingEstimate the answer to a calculation and use inverse operations to check answers; apply to increasingly large numbers using rounding and inverse reasoning
Ages 7 to 9Thinking skillMathematics // Addition & Subtraction
Missing number problems (age 7+)Solve addition and subtraction problems including missing-number problems, using number facts, place value, and more complex methods
Ages 7 to 8MethodMathematics // Addition & Subtraction
Two-Step Word ProblemsSolve one- and two-step word problems within 100 using addition and subtraction, with unknowns in all positions
Ages 7 to 8MethodMathematics // Addition & Subtraction
Addition and subtraction strategies (age 7+)Explain why addition and subtraction strategies work, using place value and the properties of operations
Ages 7 to 8Thinking skillMathematics // Addition & Subtraction
Numbers on a number lineRepresent whole numbers as lengths on a number line and represent sums and differences within 100 on a number line diagram
Ages 7 to 8RepresentationMathematics // Addition & Subtraction
Mental addition and subtraction (age 7+)Mentally add and subtract a three-digit number and ones
Ages 7 to 8MethodMathematics // Addition & Subtraction
Adding numbersAdd up to four two-digit numbers using strategies based on place value and properties of operations
Ages 7 to 8MethodMathematics // Addition & Subtraction
Mentally adding hundreds to 3-digit numbersMentally add and subtract a three-digit number and hundreds
Ages 7 to 8MethodMathematics // Addition & Subtraction
Mentally adding tens to 3-digit numbersMentally add and subtract a three-digit number and tens
Ages 7 to 8MethodMathematics // Addition & Subtraction
Two-Step EquationsSolve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity
Ages 8 to 9MethodMathematics // Addition & Subtraction
Adding and subtracting (age 8+)Add and subtract numbers with up to four digits using formal written methods of columnar addition and subtraction
Ages 8 to 9MethodMathematics // Addition & Subtraction
Two-step addition and subtraction problemsSolve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why
Ages 8 to 9MethodMathematics // Addition & Subtraction
Fluent adding and subtracting within 1000Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and the relationship between addition and…
Ages 8 to 9MethodMathematics // Addition & Subtraction
Adding and subtracting (age 9+)Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
Ages 9 to 10MethodMathematics // Addition & Subtraction
Checking Answers by RoundingUse rounding to check answers to calculations and determine appropriate levels of accuracy in context
Ages 9 to 10Thinking skillMathematics // Addition & Subtraction
Fluent addition and subtraction (age 9+)Fluently add and subtract whole numbers with more than four digits using the standard columnar algorithm
Ages 9 to 10MethodMathematics // Addition & Subtraction
Mental addition and subtraction (age 9+)Add and subtract numbers mentally with increasingly large numbers, using place-value knowledge and derived facts
Ages 9 to 10MethodMathematics // Counting & Cardinality
Skip Counting (4s, 8s, 50s, 100s)Count from 0 in multiples of 4, 8, 50, and 100
Ages 7 to 8MethodMathematics // Counting & Cardinality
Counting Within 1,000Count within 1000, including skip-counting by 5s, 10s, and 100s
Ages 7 to 8Method- Ages 8 to 9Method