Mathematics, mapped

109 claims across 5 strands · 126 of 153 skills in grades 1–3 appear here

Pick a skill to light what it rests on.

Algebraic reasoning

  1. 2.7.B rests on 1.5.C stepping by a hundred works the way stepping by ten does once the columns are visible
  2. 1.5.F rests on 1.5.E an unknown is findable once the equal sign means both sides come to the same value
  3. 2.7.C rests on 1.5.F an unknown anywhere in the sentence is the grade 1 equation work inside a story
  4. 2.7.C rests on 1.5.D an unknown inside a story needs the story written as an equation first
  5. 1.5.B leans on 1.5.A counting in twos and fives is its own sequence, and reciting every number in between makes it feel familiar
  6. 2.7.A leans on 1.5.B pairing a pile off answers even or odd on its own, and counting the pairs in twos speeds it up
  7. 3.5.D rests on 2.7.C solving for a missing factor is the missing-term work moved onto a different operation
  8. 2.7.B rests on 2.2.A from another strand this expectation names place value itself, and a hundred more is a change in one column
  9. 1.2.D rests on 1.5.A from another strand naming a number greater than 87 is reciting forward from it and stopping wherever you like
  10. 2.4.B leans on 1.5.G from another strand rearranging addends to make the arithmetic easier is the properties work from the year before
  11. 1.5.D rests on 1.3.B from another strand the number sentence for a story comes after the story is solvable with objects
  12. 1.4.C rests on 1.5.B from another strand counting a row of nickels is skip counting with coins in place of objects
  13. 2.6.A leans on 1.5.B from another strand counting in fives is one way to total equal sets, and laying the sets out is another
  14. 3.4.I leans on 2.7.A from another strand a last-digit rule and a pile of objects paired off answer the same question two different ways
  15. 3.5.B leans on 3.4.E from another strand a strip diagram is one more way of drawing the equal groups the fact work makes familiar
  16. 3.5.D rests on 3.4.J from another strand a missing factor takes multiplication and division as two views of one fact
  17. 3.5.A rests on 2.4.C from another strand an equation for a two-step problem comes after the within-1,000 work is solvable
  18. 3.5.C leans on 3.4.E from another strand reading 3 x 24 as a comparison leans on multiplication already meaning equal groups
  19. 3.7.B leans on 2.7.C from another strand a missing side is the unknown-term reading with a perimeter standing in for the total

Data analysis

  1. 1.8.B rests on 1.8.A drawing a graph comes after the data is sorted into categories
  2. 1.8.C leans on 1.8.B having drawn the bars is a fast way to learn what a reader is meant to take off them
  3. 2.10.A leans on 1.8.B drawing a bar is one good way to see what its length stands for, and being told is another
  4. 2.10.B rests on 1.8.B four categories with intervals is the picture-graph work with more in it
  5. 2.10.C rests on 2.10.A reading a value off a chart needs the bar length or picture count to mean something
  6. 2.10.D rests on 2.10.C a conclusion comes after the plain questions are answerable
  7. 2.10.D rests on 1.8.C making a prediction extends the conclusion-drawing the year before asks for
  8. 3.8.A rests on 2.10.B a scaled interval is the interval-of-one-or-more work with bigger steps
  9. 3.8.B rests on 3.8.A a two-step question needs the scaled display to be readable first
  10. 3.8.B rests on 2.10.C solving from a scaled graph is the interval-of-one work with a multiplier in it
  11. 2.10.C rests on 1.3.F from another strand writing a question about a graph is the compose-a-situation work with the numbers read off

Geometry and measurement

  1. 1.6.H rests on 1.6.G telling a real half from a near one comes after cutting fair shares yourself
  2. 2.8.A rests on 1.6.C building a shape to a specification takes being able to make the shapes at all
  3. 2.8.B rests on 1.6.E sorting solids works on solids the year before has already named
  4. 1.6.B rests on 1.6.A telling which attributes define a shape comes out of having sorted by attribute
  5. 1.6.D leans on 1.6.B the formal names sit better once attributes are sorted, though children name shapes long earlier
  6. 2.8.C rests on 1.6.D sorting by side count works on shapes that already have names and attributes
  7. 2.8.D rests on 1.6.F composing to a given property is the joining work that made target shapes
  8. 2.8.E leans on 2.8.D cutting a rectangle into triangles and building one out of triangles are the same seam seen twice
  9. 3.6.A rests on 2.8.B sorting figures and solids together comes after the solids are sorted on their own
  10. 3.6.A rests on 2.8.C adding the flat figures takes the polygon sorting as already in hand
  11. 3.6.B rests on 3.6.A picking the quadrilaterals out needs sorting by attribute to be second nature
  12. 3.6.C rests on 2.9.F multiplying rows by columns comes after a rectangle is covered and counted by hand
  13. 3.6.D rests on 3.6.C adding areas together takes one rectangle on its own as already findable
  14. 3.6.D rests on 2.8.E breaking a composite into rectangles is the decomposing work with area attached
  15. 3.6.E leans on 3.6.D knowing areas add is what lets four equal parts of one figure be checked against four of another
  16. 1.7.C rests on 1.7.B comparing two unit sizes works on a length that is already a count of same-size units
  17. 1.7.D rests on 1.7.B a length said as a number and a unit takes the unit as the thing being counted
  18. 2.9.A leans on 1.7.A a ruler laid along a table is where the idea of a fixed unit tends to turn up first
  19. 2.9.B rests on 1.7.C the inverse relationship is what the two-unit comparison shows, stated as a rule
  20. 2.9.D rests on 2.9.A reading a ruler works on a standard unit that is already familiar
  21. 2.9.D rests on 1.7.D reading to the nearest mark is whole-unit reporting with a scale printed on it
  22. 2.9.E rests on 2.9.D estimating comes after enough lengths are measured to have a sense of the size
  23. 3.7.B leans on 2.9.D the sides often arrive as numbers in the problem, and measuring them is the other way in
  24. 3.7.D leans on 3.7.E deciding whether to weigh the flour or measure it out is easier once both have been tried
  25. 2.9.G rests on 1.7.E minutes come after the hour and the half hour are readable on a face
  26. 3.7.C rests on 2.9.G adding two intervals takes the clock as already readable to the minute
  27. 2.9.A rests on 1.7.B an inch is still a unit laid end to end with no gaps, and a standard one
  28. 2.9.F rests on 1.7.B covering a rectangle with no gaps or overlaps is the end-to-end unit iteration turned sideways
  29. 2.6.B leans on 1.6.G from another strand sharing a set out evenly is the fair-shares idea applied to a count rather than a shape
  30. 2.3.A rests on 1.6.G from another strand eighths are the fair-shares work from the year before, cut once more
  31. 2.3.D rests on 1.6.H from another strand sorting examples from non-examples is the halves-and-fourths judgement with eighths added
  32. 3.3.A leans on 2.9.C from another strand putting a fraction on a number line leans on the line already carrying distances
  33. 3.7.A rests on 3.3.A from another strand a fraction as a distance from zero takes it as already a point on the line
  34. 3.6.C rests on 3.4.D from another strand seeing a rectangle as rows of squares is the array work in a different picture
  35. 3.6.E rests on 3.3.C from another strand calling one of four equal parts a fourth of the whole is the unit fraction doing the naming
  36. 2.9.C leans on 2.2.E from another strand reading a distance on a line leans on the number already having a place on it
  37. 3.7.B rests on 2.4.B from another strand finding a missing side runs on two-digit addition and subtraction being reliable
  38. 3.7.B leans on 2.7.C from another strand a missing side is the unknown-term reading with a perimeter standing in for the total

Number and operations

  1. 1.2.C rests on 1.2.B expanded form writes down the hundreds, tens and ones the number was built out of
  2. 1.2.E rests on 1.2.B comparing by place value works on a number that already comes apart into tens and ones
  3. 1.2.F rests on 1.2.E putting a set in order is comparing two of them, over and over
  4. 1.2.G rests on 1.2.E the symbol is shorthand for a comparison already made in words
  5. 2.2.A rests on 1.2.B composing to 1,200 is the same hundreds-tens-ones move the 120 work sets up
  6. 2.2.B rests on 1.2.C expanded form to 1,200 reads the way it does to 120, with one more column in it
  7. 2.2.D rests on 1.2.G comparing to 1,200 with symbols is the to-100 symbol work over a wider range
  8. 2.2.E rests on 1.2.F placing a number on an open line is the ordering the 120 number lines already ask for
  9. 2.2.F leans on 2.2.E naming the number at a marked point and placing one on a blank line are the same correspondence either way
  10. 3.2.A rests on 2.2.A the ten-thousands column extends the composing the 1,200 work introduces
  11. 3.2.D rests on 2.2.D ordering to 100,000 is the 1,200 comparison with two more places in it
  12. 3.2.C rests on 2.2.E seeing which two multiples a number sits between is the open number line with landmarks on it
  13. 2.2.C rests on 1.2.D generating a greater or lesser number anywhere up to 1,200 is the move the 120 range asks for
  14. 3.2.B leans on 3.2.A the ten-times pattern and the column building explain each other, in either order
  15. 2.2.D rests on 1.2.F ordering to 1,200 is the 120 ordering with another column to sort on
  16. 1.3.D rests on 1.3.C making ten as a strategy takes a ten built out of parts as given
  17. 2.4.A rests on 1.3.D automatic recall comes after the strategies that make the answer findable
  18. 2.4.B leans on 2.4.A a column of two-digit numbers comes apart into single-digit sums a child already knows
  19. 2.4.B rests on 2.2.A an algorithm based on place value works on a number seen as hundreds, tens and ones
  20. 2.4.C rests on 2.4.B solving within 1,000 runs on two-digit strategies that are already reliable
  21. 2.4.C rests on 1.3.B a multi-step word problem is the joining and separating work with bigger numbers in it
  22. 2.4.D leans on 2.4.C posing a situation and solving one feed each other, and inventing is often the way into solving
  23. 2.4.D rests on 1.3.F writing a story for a number sentence is the within-20 version over a wider range
  24. 3.4.A rests on 2.4.C fluency is the same within-1,000 work once the strategies stop needing thought
  25. 3.4.B rests on 3.2.C rounding starts from seeing which two tens or hundreds a number falls between
  26. 1.3.A leans on 1.2.B forty and seven making forty-seven leans on tens and ones, and just as often is how tens and ones get built
  27. 1.3.C leans on 1.2.A composing ten leans on seeing a small arrangement without counting it one at a time
  28. 1.3.E leans on 1.3.D explaining why you took two off the eight leans on having chosen the move rather than been handed it
  29. 1.3.F rests on 1.3.B writing a situation for a number sentence is the word-problem work run the other way
  30. 1.4.C rests on 1.4.A counting a handful takes each coin already having a known value
  31. 2.5.A rests on 1.4.C a collection up to one dollar adds the quarter to the pennies, nickels and dimes already counted
  32. 2.5.B rests on 2.5.A writing an amount in dollars and cents comes after the total is worked out
  33. 2.5.B rests on 1.4.B the dollar sign and the decimal point extend the cent symbol the year before introduces
  34. 3.4.C rests on 2.5.A adding bills to the pile is the up-to-a-dollar counting with larger values in it
  35. 2.6.B leans on 2.6.A joining equal sets and sharing a set out are the same picture read from either end
  36. 3.4.F rests on 3.4.D recall comes after the array has made the answer findable
  37. 3.4.G leans on 3.4.F seven twenty-fours splits into seven twenties and seven fours, and both go faster when they are known
  38. 3.4.G rests on 3.2.A breaking a two-digit factor apart works from seeing it as tens and ones
  39. 3.4.H rests on 2.6.B working out the size of each share is the division situation with a number on the answer
  40. 3.4.J leans on 3.4.F the division facts come with the multiplication ones, and skip counting finds the quotient too
  41. 3.4.K leans on 3.4.F recall is one of the four routes this expectation names, alongside objects, models and properties
  42. 3.4.K rests on 3.4.H a sharing problem needs the size of each group to be workable out
  43. 3.4.D rests on 2.6.A counting six groups of four takes the equal-groups situation as already set out
  44. 3.4.E rests on 3.4.D drawing six by four to show a fact comes after having counted six groups of four objects
  45. 2.3.B rests on 2.3.A noticing that more parts makes each part smaller comes after the parts are made
  46. 2.3.C rests on 2.3.A counting past one whole needs the parts to have names already
  47. 2.3.D leans on 2.3.A spotting a false eighth and cutting a true one grow together, and judging often comes sooner
  48. 3.3.C rests on 2.3.A naming one part of a whole takes the whole as already cut into that many equal parts
  49. 3.3.A leans on 3.3.C the unit fraction is one road to three quarters, and three parts out of four is the other
  50. 3.3.B rests on 3.3.A reading a fraction off a line is the reverse of putting one there
  51. 3.3.D rests on 3.3.C building a fraction out of unit parts takes the unit part as understood
  52. 3.3.F rests on 3.3.A equivalence needs two fractions drawable beside each other
  53. 3.3.G rests on 3.3.F the same-point test comes after the equivalent pairs are built
  54. 3.3.H rests on 2.3.B comparing eighths with fourths runs on knowing more parts makes each one smaller
  55. 3.3.H leans on 3.3.A a picture settles the comparison when reasoning from the denominator alone runs out
  56. 3.3.E leans on 2.6.B sharing an object among people is the equal-sets work with a fraction as the answer
  57. 3.3.E rests on 3.3.A sharing three cookies among four people needs three fourths to be drawable
  58. 2.7.B rests on 2.2.A from another strand this expectation names place value itself, and a hundred more is a change in one column
  59. 1.2.D rests on 1.5.A from another strand naming a number greater than 87 is reciting forward from it and stopping wherever you like
  60. 2.4.B leans on 1.5.G from another strand rearranging addends to make the arithmetic easier is the properties work from the year before
  61. 1.5.D rests on 1.3.B from another strand the number sentence for a story comes after the story is solvable with objects
  62. 1.4.C rests on 1.5.B from another strand counting a row of nickels is skip counting with coins in place of objects
  63. 2.6.A leans on 1.5.B from another strand counting in fives is one way to total equal sets, and laying the sets out is another
  64. 2.6.B leans on 1.6.G from another strand sharing a set out evenly is the fair-shares idea applied to a count rather than a shape
  65. 3.4.I leans on 2.7.A from another strand a last-digit rule and a pile of objects paired off answer the same question two different ways
  66. 3.5.B leans on 3.4.E from another strand a strip diagram is one more way of drawing the equal groups the fact work makes familiar
  67. 3.5.D rests on 3.4.J from another strand a missing factor takes multiplication and division as two views of one fact
  68. 3.5.A rests on 2.4.C from another strand an equation for a two-step problem comes after the within-1,000 work is solvable
  69. 3.5.C leans on 3.4.E from another strand reading 3 x 24 as a comparison leans on multiplication already meaning equal groups
  70. 2.3.A rests on 1.6.G from another strand eighths are the fair-shares work from the year before, cut once more
  71. 2.3.D rests on 1.6.H from another strand sorting examples from non-examples is the halves-and-fourths judgement with eighths added
  72. 3.3.A leans on 2.9.C from another strand putting a fraction on a number line leans on the line already carrying distances
  73. 3.7.A rests on 3.3.A from another strand a fraction as a distance from zero takes it as already a point on the line
  74. 3.6.C rests on 3.4.D from another strand seeing a rectangle as rows of squares is the array work in a different picture
  75. 3.6.E rests on 3.3.C from another strand calling one of four equal parts a fourth of the whole is the unit fraction doing the naming
  76. 2.9.C leans on 2.2.E from another strand reading a distance on a line leans on the number already having a place on it
  77. 3.7.B rests on 2.4.B from another strand finding a missing side runs on two-digit addition and subtraction being reliable
  78. 2.10.C rests on 1.3.F from another strand writing a question about a graph is the compose-a-situation work with the numbers read off

Personal financial literacy

  1. 1.9.B leans on 1.9.A spending income leans on income having a name first
  2. 2.11.A leans on 1.9.C watching savings add up leans on saving being a separate idea from spending
  3. 3.9.A leans on 1.9.A connecting work to income leans on income already meaning money earned
  4. 2.11.E leans on 2.11.D lending is the borrowing situation seen from the other side of the table
  5. 3.9.E leans on 2.11.A planning to save leans on having seen savings add up over time
  6. 3.9.C leans on 2.11.B weighing a spending decision leans on saving already being one of the options
  7. 3.9.D leans on 2.11.D credit leans on borrowing already being something with a careful and a careless way

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Texas Essential Knowledge and Skills · CC BY 3.0 US · D2L Corporation · verified 2026-08-05

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