Grade 1 · printable course

Tens, Ones, and Adventures: Grade 1 Mathematics

Grade 1 · 272 pages · 70 lessons · PDF, print at home

A full-year grade 1 math course built around short, parent-delivered sessions. Students move from counting and comparing objects toward fluent addition and subtraction within 20, place value in tens and ones to 120, two-digit comparison and addition, measurement, time, simple data, and shape composition. Every number idea is introduced with countable objects, number lines, or base-ten groupings before any symbol appears. Parents receive exact scripts, listening points, and tap-only answer choices so a non-teacher can run the lesson.

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What is inside

Every unit and lesson in this book, in order. The same lessons are taught online at lettersanddevotion.com, so a family can move between paper and screen.

Tens, Ones, and Adventures: Grade 1 Mathematics

70 lessons · try a lesson online free

Unit 1: Counting, Comparing, and the Number Line8 lessons
  1. 1.One-to-one correspondence in counting a set of objects up to 20
  2. 2.The count sequence to 120 applied to bundled sets of objects
  3. 3.Order-irrelevance and conservation of number when counting a fixed set
  4. 4.The counting-on strategy starting from a nonzero number
  5. 5.Comparison of two counted groups using more/fewer/same
  6. 6.The number line as a counting path with one-to-one hops mapped to numbers in order
  7. 7.Transfer of the counting-on-a-number-line strategy to an unfamiliar real-world counting context
  8. 8.The standard count sequence from 1 to 20
Unit 2: What the Equals Sign Really Means8 lessons
  1. 9.The equals sign as a statement that two groups have the same count
  2. 10.True and false number sentences with the equals sign in varied positions
  3. 11.The equals sign with the sum on the left side of the sentence
  4. 12.A missing addend found by making both sides of an equation match
  5. 13.Missing-number position within an equation
  6. 14.Equivalence of a single group and a two-part grouping of the same total
  7. 15.The spoken phrase attached to the equals sign
  8. 16.Contrast between bare-match and computed equations of the same magnitude
Unit 3: Adding and Subtracting Within 10, Fluently8 lessons
  1. 17.Joining (adding to) situations with totals within 10
  2. 18.Separating (taking from) situations within 10
  3. 19.The fact-family relationship between addition and subtraction within 10
  4. 20.Unknown-addend structure linking addition and subtraction facts
  5. 21.Joining versus separating situation types
  6. 22.The counting-on strategy for addition within 10
  7. 23.Distinguishing joining from separating in an unfamiliar object scenario
  8. 24.Fluent recall of within-10 addition and subtraction facts
Unit 4: Making a Ten: Addition and Subtraction Within 2010 lessons
  1. 25.Ten's partner facts (pairs of numbers that sum to 10)
  2. 26.The full ten-frame as a single countable unit
  3. 27.Conservation of quantity under regrouping in the make-a-ten strategy
  4. 28.The make-a-ten addition procedure (decompose an addend, fill the ten, add the remainder)
  5. 29.The take-apart-a-ten subtraction procedure
  6. 30.Correct versus incorrect ten-frame regrouping representations
  7. 31.Associative/commutative reordering of three addends
  8. 32.Strategic pairing choice among three addends with ambiguous ten-partner options
  9. 33.Two-step word problems with three whole numbers, within 20
  10. 34.Strategy selection between within-10 recall and within-20 make-a-ten/take-apart procedures
Unit 5: Tens and Ones to 12010 lessons
  1. 35.A bundle of ten ones as a single unit called a ten
  2. 36.The bundle-then-count-leftovers routine for teen numbers
  3. 37.Two-digit numbers as tens-and-ones groupings
  4. 38.The memorized counting sequence from 1 to 20
  5. 39.The counting sequence to 120
  6. 40.Decade numbers as whole tens with no leftover ones
  7. 41.Ten as the special case of ten ones with no leftovers
  8. 42.Digit position as the record of tens versus ones
  9. 43.Two-digit place value applied to a new representation of tens and ones
  10. 44.Two-digit-style grouping extended to numbers past 100
Unit 6: Comparing and Adding Two-Digit Numbers8 lessons
  1. 45.The tens digit as the first thing checked when comparing two two-digit numbers
  2. 46.Comparing the ones digit only after a tie in the tens digit
  3. 47.The rule that tens always outweigh ones in determining which two-digit number is greater
  4. 48.Adding a one-digit number to a two-digit number without regrouping, using base-ten pictures
  5. 49.Adding a one-digit number to a two-digit number when the ones total crosses ten, forming a new ten
  6. 50.Recognizing in advance whether an addition will cause the ones to cross ten
  7. 51.Telling apart comparison problems from addition problems by their picture structure
  8. 52.Applying tens-first comparison reasoning to an untaught concrete context
Unit 7: Measuring Length and Telling Time9 lessons
  1. 53.Ordering of three objects by length
  2. 54.Indirect comparison of two lengths using a third object
  3. 55.Length measured as a count of repeated same-size units
  4. 56.Inverse relationship between unit size and unit count
  5. 57.Comparison of two measured lengths expressed as unit counts
  6. 58.Clock face reading for times on the hour
  7. 59.Relative speed of the hour hand and minute hand on an analog clock
  8. 60.Clock face reading for times at the half hour
  9. 61.Discrimination between hour and half-hour clock positions in a new context
Unit 8: Organizing Data and Composing Shapes9 lessons
  1. 62.Sorting objects into categories using one stated rule
  2. 63.Comparison of category counts in a picture graph
  3. 64.Invariance of total count under different sorting rules
  4. 65.Composing a new 2D shape from two smaller shapes
  5. 66.Composing a 3D composite shape from smaller solids
  6. 67.Equal versus unequal partitioning into two shares
  7. 68.The requirement that fourths/quarters be equal-size shares, not merely four pieces
  8. 69.Relationship between halves and quarters as nested equal partitions
  9. 70.The picture graph as a representation of counted categories

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