Objective: Students will build simple arrays and equal groups to build a conceptual understanding of multiplication.
- How are number lines and arrays alike?
- How are number lines and arrays different?
- How can using a number line make multiplication faster and easier?
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3rd Grade, Mini-Unit 1: Multiplication Concepts covers the following standards:
0:00 Let’s start with our first lesson on multiplication concepts. Repeated addition with arrays and equal groups. Multiplication is adding groups that are the same size.
0:10 There are three groups of two candies. You can add them. You can add two plus two plus two equals six.
0:17 You can multiply three groups of two, three times two equals six. You can add two plus one cupcakes. You cannot multiply a group of two And, a group of one.
0:28 Why can’t you multiply a group of two and a group of one? Because the groups are not the same size.
0:40 Two times one. Can mean one group of two or two groups of one. Multiplication can also be shown with an array.
0:48 These are both arrays. Both arrays show two rows of what? Both arrays show two rows of three. You can see three plus three equals six and two times three equals six.
1:05 This array has four rows. There are two squares. In each row, you can find the total by adding two plus two plus two plus two equals eight.
1:15 Since the groups are all the same size, we can also multiply four groups of two. It looks like this. For you.
1:22 Four times two equals eight. What’s the mistake? Two times five equals ten. You These groups are not equal. They can be added but not multiplied.
1:38 Two plus five equals seven. Two times five says no, does equal ten but it does not match the model.