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All 14 lessons in Multi-Digit Multiplication, Factors & Multiples

Builds on: PMF3, PPV4

  1. 1. Multiply by 10, 100 and 1,000

    Multiply any whole number by 10, 100 or 1,000 by moving every digit 1, 2 or 3 places left.

  2. 2. Multiples of 10 and 100: Use the Fact

    Multiply tens and hundreds by using a fact you know and saying the unit of the answer.

  3. 3. Estimate First

    Estimate a product in three steps - round, multiply, say about - and use the estimate to check an answer.

  4. 4. Area Model: Tens and Ones

    Multiply a 2-digit number by a 1-digit number with an area model: split, multiply each box, add the boxes.

  5. 5. Partial Products: 3-Digit × 1-Digit

    Multiply a 3-digit number by a 1-digit number: split into hundreds, tens and ones, write the partial products as a list, add.

  6. 6. Short Multiplication: 2-Digit × 1-Digit

    Multiply a 2-digit number by a 1-digit number in a column: multiply the ones, carry the tens, multiply the tens, add the carry.

  7. 7. Short Multiplication: 3-Digit × 1-Digit

    Multiply a 3-digit number by a 1-digit number in a column, with carries in more than one place and zeros inside.

  8. 8. Area Model: 2-Digit × 2-Digit

    Multiply two 2-digit numbers with a four-box area model: split both numbers, multiply each part by each part, add the boxes.

  9. 9. Long Multiplication: 2-Digit × 2-Digit

    Multiply two 2-digit numbers in a long column: row 1 by the ones digit, row 2 by the tens digit with a placeholder zero, then add.

  10. 10. Lattice Multiplication

    Multiply with a lattice: one cell for every pair of digits, tens above and ones below, then add along the diagonals.

  11. 11. Factors and Square Numbers

    Find all the factors of a number by writing factor pairs, and meet the square numbers up to 15 × 15.

  12. 12. Multiples

    Find multiples by counting in steps, decide whether a number is a multiple, and tell factors from multiples.

  13. 13. Prime and Composite Numbers

    Tell prime numbers from composite numbers up to 200 by trying the tables and counting factors.

  14. 14. Solve It with Multiplication

    Choose a method, estimate first and check: a capstone on multiplying, factors, multiples and primes.

Unit code PMF4