Five pages that move from place value models to the standard algorithm, always with a one-digit multiplier. Page 1 splits 2-digit numbers: students write the tens and ones on top of an area model (47 is 40 and 7), multiply each part, then write the same two partial products in a column and add. Page 2 does the same with 3- and 4-digit numbers, first in area models and then as one partial product a place, ones first. Page 3 is the standard algorithm with 2- and 3-digit numbers, with small boxes for the regrouped digits. Page 4 multiplies 4-digit numbers, some with a 0 inside such as 4,026 × 7, then shows two students' work in which the regrouped digits were written but never added: students circle the first wrong digit and write the right product. Page 5 rounds the bigger factor to its greatest place to decide whether answers make sense, then has four stories that start with an estimate. Every page starts with a worked example.
Work the example on page 1 together and point out that the two parts of the area model are the two rows of partial products beside it. Before page 3, multiply 57 × 4 both ways on the board: show that 28 in the ones becomes 8 with a regrouped 2, and that the 2 is added after 5 tens × 4. On page 4, ask students to explain the mistake in their own words before they fix it.
Look for big numbers that come in equal groups: miles driven each day of a trip, pages in a stack of books, bagels baked each day. Ask your child to round first (2,385 is about 2,000), estimate, then multiply exactly and compare.
This pack supports the following Common Core State Standards for Mathematics:
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Multiplying 2-, 3- and 4-digit numbers by a one-digit number, from area models and partial products to the standard algorithm. Students split numbers by place value, write partial products, regroup in the standard algorithm, find mistakes, estimate to check and solve stories.
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