Dear Family,
Your student is learning to multiply whole numbers more efficiently. They use models and methods from earlier grades such as area models, break apart and distribute, partial products, and the standard algorithm. Your student multiplies multi-digit numbers and makes connections between different strategies. These connections support their work using the standard algorithm to multiply larger numbers.
AT HOME ACTIVITY
How Many Hours Away?
Help your student use multiplication to calculate the number of hours until a fun event. Ask your student to think of an event they are looking forward to such as their birthday, a holiday, a vacation, or a family gathering. Encourage them to choose something that is at least 1 month away. Figure out how many days there are until the event and multiply that number by the number of hours in a day, as in the following example.
• There are 43 days until a family reunion.
• Multiply the number of days until the event by the number of hours in a day: 43 × 24 = 1,032.
• Next, add on any remaining hours left today to find the total number of hours until the event. For example, if it is 5:00 p.m., there are 7 more hours left in the day. Find 1,032 + 7 to determine there are 1,039 hours until the family reunion.
For an additional challenge, have your student find the number of minutes until the event.
• Multiply the number of hours until the event by the number of minutes in an hour: 1,039 × 60 = 62,340. There are 62,340 minutes until the family reunion.
Find a sample of our lessons below to help support MATH TALK at home.
Students also have these in their APPLY workbook.
Lesson 7
Multiply by using familiar methods.
I can apply multiplication methods that I previously learned to multiply numbers with more digits. I can decompose one factor to make multiplication simpler for me.
Lesson 8
Multiply two- and three-digit numbers by two-digit numbers by using the distributive property.
I can make connections across the break apart and distribute method, the area model, and vertical form. In each of these methods, I can apply the distributive property to find the product, so the partial products are the same. I can also multiply the factors in any order because of the commutative property of multiplication.
Lesson 9
Multiply two- and three-digit numbers by two-digit numbers by using the standard algorithm.
I can decompose one or both factors to make it simpler for me to multiply. I can use the same thinking when I multiply by using the standard algorithm as I do when I multiply by using an area model. I can make connections between the number of rows in an area model and the number of partial products in the standard algorithm, and I can use that to decide which factor I designate as the unit and which factor represents the number of groups.
Lesson 10
Multiply three- and four-digit numbers by three-digit numbers by using the standard algorithm.
I can multiply by using the standard algorithm, and I can use the area model to help me, if needed. When I find partial products, I can use unit form thinking or standard form thinking, or I can multiply single digits while I hold place value in my head.
Lesson 11
Multiply two multi-digit numbers by using the standard algorithm.
I can multiply by using the standard algorithm. I can be strategic about which factor I designate as the unit, based on how many partial products that might make. I can analyze other students' mistakes and offer advice.