These multiplication worksheets grade 2 start where the standards start: equal groups and arrays, not times tables. They run from arrays up to 5 by 5 written as addition sentences to skip counting within 1,000. Answer key on page 2.
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What second grade multiplication means in the standards
Neither the Common Core nor Texas asks second graders to learn times tables. Standard 2.OA.4 has pupils total arrays of up to 5 rows and 5 columns as a sum of equal addends, such as 4 + 4 + 4 = 12. Texas 2.6(A) has them model and describe equal sets being joined. England's Year 2 pupils do recall the 2, 5 and 10 tables, so those facts sit in A step ahead.
An order for the sheets
Start with Equal groups: how many in all, then line the groups up as rows with Arrays to 5 by 5: addition sentence. Bring in the × sign last.
Put counters beside the first sheets: 12 counters pushed into 3 rows of 4 make 4 + 4 + 4 visible.
Set Problems to 4 or 6 on the array sheets. An addition sentence for 5 rows of 5 takes a second grader a while.
Show unequal groups early: plates of 4, 4 and 3 are not 4 + 4 + 4.
Questions and answers
Is multiplication taught in 2nd grade?
Not as times tables under the Common Core or in Texas. The Common Core heads its grade 2 cluster 'Work with equal groups of objects to gain foundations for multiplication'. The × sign and the facts arrive in grade 3 (3.OA.7, Texas 3.4(F)).
Why do the array sheets stop at 5 by 5?
Because standard 2.OA.4 does: up to 5 rows and up to 5 columns, so every total stays at 25 or less. Texas takes arrays on to 10 by 10 in grade 3, standard 3.4(D).
What if my second grader already knows the 2s and 5s?
Pick a sheet under A step ahead in the Sheet type menu. The first three each print 20 facts from one table, and a fourth shuffles all three. The grade 3 page goes on to the other tables and division facts.
All 15 sheet types
Equal groups 2
Equal groups of 2, 5 and 106 groups of 5: 5 + 5 + 5 + 5 + 5 + 5 = 30, the same numbers a pupil says when counting by 5s. Group sizes stay at 2, 5 and 10, so skip counting finds every total.
Equal groups: how many in all3 groups of 4 dots: 4 + 4 + 4 = 12. Pupils write the addition sentence and the total. The sheet asks for a sum of equal addends, not a × sentence, which is how the Common Core words its grade 2 standards.
Arrays up to 5 by 5 5
Arrays to 5 by 5: addition sentenceAn array with 3 rows of 4 dots: 4 + 4 + 4 = 12. This is Common Core standard 2.OA.4 as written: up to 5 rows, up to 5 columns, and the total as a sum of equal addends. The page opens on this sheet.
Count rows and columnsAn array of 2 rows and 5 columns: 2 rows, 5 columns, 10 in all. Rows run across and columns run up and down. A pupil who swaps them still gets the right total, so the sheet asks for all three numbers.
Show all 15 sheet types (11 more)
Arrays up to 5 by 5, continued
One array, two addition sentences3 rows of 4 can be added by rows, 4 + 4 + 4 = 12, or by columns, 3 + 3 + 3 + 3 = 12. Seeing the two totals match is a first look at why 3 × 4 and 4 × 3 will be equal.
Skip count the rows of an arrayAn array of 4 rows of 5: point to each row and count 5, 10, 15, 20. The Texas grade 2 introduction names this link between skip counting and equal groups as the foundation for multiplication.
Square arrays 2 by 2 to 5 by 52 + 2 = 4, 3 + 3 + 3 = 9, 4 + 4 + 4 + 4 = 16 and 5 + 5 + 5 + 5 + 5 = 25. These are the first square numbers after 1, and 25 is the largest total an array can have under standard 2.OA.4.
Skip counting 4
Skip count by 2s to 40A row such as 2, 4, 6, then three blanks: 8, 10 and 12. The national Common Core text lists 5s, 10s and 100s in standard 2.NBT.2, and California's edition adds 2s. Texas sets counting by twos, fives and tens a year earlier, in 1.5(B).
Skip count by 5s to 100A row such as 5, 10, 15, then three blanks: 20, 25 and 30. The ones digit goes 5, 0, 5, 0, so pupils can check their own row. These are the products of the × 5 table, met first as a counting pattern.
Skip count by 10s and 100s to 1,00010, 20, 30 on one row and 100, 200, 300 on the next. Standard 2.NBT.2 runs counting up to 1,000, so the 100s row belongs in grade 2 as much as the 10s row.
Skip count from any start within 1,000A row such as 465, 470, 475, a blank, 485, a blank: the blanks are 480 and 490. Counting by 5s or 10s from a number past 100 shows whether a pupil knows the pattern or only the chant that starts at zero.
A step ahead: × 2, × 5 and × 10 4
× 2 facts as doubles2 × 7 = 14, the double 7 + 7 with a new sign. Neither the Common Core nor Texas sets times tables facts in grade 2. England's curriculum asks Year 2 pupils to recall the 2, 5 and 10 tables, which is where many sheets for this age come from.
× 2, × 5 and × 10 mixed20 facts from the three tables in shuffled order, such as 5 × 8 = 40 and 2 × 9 = 18. Keep it for the end of the year or for pupils working ahead. Knowing the facts is a grade 3 standard in the Common Core (3.OA.7) and in Texas (3.4(F)).
× 5 facts to 5 × 105 × 6 = 30, the sixth number said when counting by 5s. A fair next step for a pupil who skip counts by 5s to 50 without help.
× 10 facts to 10 × 1010 × 4 = 40, which is 4 tens. Tie it to place value: a second grader already reads 40 as 4 tens and 0 ones.