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Mathematics // Addition & Subtraction
Number bonds to 9Find the number that makes 10 when added to a given number from 1 to 9 (number bonds to 10)
Ages 4 to 6MethodMathematics // Addition & Subtraction
Addition and subtraction word problemsSolve addition and subtraction word problems within 10 using objects or drawings
Ages 4 to 6MethodMathematics // Addition & Subtraction
Fluent adding and subtracting within 5Fluently add and subtract within 5
Ages 5 to 6MethodMathematics // Addition & Subtraction
Number bondsRecall number bonds (addition and related subtraction facts) within 20
Ages 5 to 6MethodMathematics // Addition & Subtraction
Adding and subtractingAdd and subtract one-digit and two-digit numbers to 20, including zero
Ages 5 to 6MethodMathematics // Addition & Subtraction
Early Word ProblemsSolve one-step word problems involving addition and subtraction to 20, including missing-number problems
Ages 5 to 7MethodMathematics // Addition & Subtraction
Addition and subtraction within 20Add and subtract within 20 using strategies such as making ten, decomposing a number leading to ten, and using known facts
Ages 6 to 7MethodMathematics // Addition & Subtraction
Fluent adding and subtracting within 10Fluently add and subtract within 10
Ages 6 to 7MethodMathematics // Addition & Subtraction
Adding within 100Add within 100 using strategies based on place value, including adding a two-digit and one-digit number, and a two-digit and a multiple of 10
Ages 6 to 7MethodMathematics // Addition & Subtraction
Mental and written addition and subtractionSolve addition and subtraction problems using mental and written methods, including problems involving numbers, quantities, and measures
Ages 6 to 7MethodMathematics // Addition & Subtraction
Adding two two-digit numbersAdd and subtract two two-digit numbers using concrete objects, pictorial representations, and mental methods
Ages 6 to 7MethodMathematics // Addition & Subtraction
Mental addition and subtraction (age 6+)Add and subtract a two-digit number and ones mentally and using concrete/pictorial representations
Ages 6 to 7MethodMathematics // Addition & Subtraction
Unknown in Addition & SubtractionDetermine the unknown whole number in an addition or subtraction equation relating three whole numbers
Ages 6 to 7MethodMathematics // Addition & Subtraction
Fluent addition and subtractionRecall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100
Ages 6 to 7MethodMathematics // Addition & Subtraction
Adding and subtracting tens mentallyAdd and subtract a two-digit number and tens mentally and using concrete/pictorial representations
Ages 6 to 7MethodMathematics // Addition & Subtraction
Subtracting multiples of 10Subtract multiples of 10 (10–90) from multiples of 10 using place value strategies
Ages 6 to 7MethodMathematics // Addition & Subtraction
Adding Three Small NumbersAdd three one-digit numbers using strategies including looking for pairs that make 10
Ages 6 to 7MethodMathematics // Addition & Subtraction
Addition and subtraction strategiesUse counting on and counting back as strategies for addition and subtraction
Ages 6 to 7MethodMathematics // 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
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 8Method