Patterns & Reasoning
48 problem types
Generalize a Growing Pattern into a Rule
Complete addition and multiplication tables 3.OA.D.9 · take
Find the rule in a fraction sequence 3.OA.D.93.NF.A.1 · take
Multiplication table folds to equal cells 3.OA.B.53.OA.D.9 · take
Write a growing pattern as an expression 3.OA.D.93.OA.D.8 · take
Find patterns in mixed-number sequences and sum 4.NF.B.34.OA.C.5 · take
Find shape and number rule together 4.OA.C.5 · take
Find the constant skip-count step 4.NBT.A.2 · take
Find the rule of a growing block stack 4.OA.C.54.OA.A.3 · take
Pattern in equations predicts the answer 4.OA.C.53.OA.D.9 · take
Perimeter of the nth figure by rule 4.OA.C.53.MD.D.83.OA.D.9 · adapt
Sum-and-difference rules in a number grid 4.OA.C.53.OA.D.9 · take
Use neighbor differences to find rule 4.OA.C.5 · take
Repeating Cycle Patterns
Weekdays repeat every seven days 2.NBT.A.2 · adapt
Find one tick interval, then read the value 4.NBT.A.2 · adapt
Find shape and color repeats separately 4.OA.C.5 · take
Find the rule of changing clock times 4.OA.C.53.MD.A.1 · take
Locate and compare numbers on a number line 4.NBT.A.2 · adapt
Use the seven-day weekday cycle 4.OA.C.5 · adapt
Divisibility and Remainder Reasoning
Adjust the total to leave no remainder 3.OA.A.33.OA.C.7 · take
Exact division means remainder zero 3.OA.C.73.OA.B.6 · take
Narrow candidates by divisibility conditions 3.OA.B.63.OA.C.7 · take
Numbers divisible by several are common multiples 3.OA.B.63.OA.C.7 · take
Recover the dividend from quotient and remainder 3.OA.B.63.OA.A.4 · take
Remainder must be less than the divisor 3.OA.B.63.OA.C.7 · take
Round the quotient up to carry the remainder 3.OA.A.33.MD.A.2 · adapt
The remainder is always less than the divisor 4.NBT.B.6 · take
Sum of Evenly Spaced Numbers via the Middle
Consecutive integers around a middle value 3.OA.D.93.OA.D.8 · take
Sum consecutive numbers via the middle 3.OA.D.93.NBT.A.22.NBT.A.2 · take
Sum of evenly spaced numbers equals middle times count 3.OA.D.93.OA.C.7 · take
Pair consecutive numbers with constant sum 4.OA.C.53.OA.D.9 · take
Sum a repeating number sequence 4.OA.C.53.OA.A.3 · take
Solve a Table or Graph Step by Step from Clues
Fill the table by solving knowns first 3.MD.B.33.OA.D.8 · take
Solve graph values step by step from clues 3.MD.B.33.OA.A.3 · take
Solve missing data from ratio or sum clues 3.MD.B.33.NF.A.1 · take
Use total and clues to fill missing bars 3.MD.B.34.OA.A.3 · adapt
Fill a table and complete a line graph from clues 5.MD.B.2 · adapt
Two-Category Counts from a Total
Count ways to make an amount with coins 2.MD.C.8 · adapt
Find right and wrong counts from total score 3.OA.D.83.OA.A.3 · take
Guess-and-check a legs problem 3.OA.A.33.OA.D.8 · take
Overlap Reduces the Total
Subtract the overlap from total length 2.MD.B.52.MD.A.4 · adapt
Overlap shrinks the total length 2.MD.B.53.OA.D.8 · adapt
Overlaps are one fewer than the strips 3.MD.D.83.OA.D.8 · adapt
Subtract the overlap when joining fraction lengths 4.NF.B.3 · take
Objects versus Gaps (Fencepost Counting)
Gaps are one fewer than the objects 2.MD.B.5 · adapt
Count posts via length divided by spacing 3.OA.A.33.MD.D.8 · adapt
Objects versus gaps when spacing along a line 3.OA.A.33.OA.D.8 · adapt
Posts versus gaps on lines and loops 3.OA.A.33.MD.D.8 · adapt
Intervals differ on open paths versus closed loops 4.OA.A.34.MD.A.2 · adapt