A complete unit with direct instruction to the student, ample practice problems and word problems. Common Core aligned. Great for independent practice/homework.
This unit concentrates on the actual CONCEPT of multiplication plus some related concepts, such as arrays, order of operations, word problems, and the role of zero in multiplication.
The first lessons of this unit introduce the multiplication concept as groups of the same size. Multiplication on a Number Line lesson shows how the same-sized groups correspond to repeated “jumps” or “skipping” on a number line. In this lesson, the child should connect skip-counting with multiplication.
Then the lesson Multiplication as an Array shows another model for multiplication: objects arranged in rows and columns. In this lesson the rows are thought of as groups - and so it follows that the same model of multiplication as the idea of having many of the same-sized groups. The whole lesson is still presented with pictures.
Order of Operations 1 teaches that multiplication is to be done before addition or subtraction, and addition and subtraction are done from the left to the right.
Understanding Word Problems 1 shows how word problems including multiplication have the idea of “each”, “every one”, or “all”: each thing is doing or having the same number of something. If the problems are difficult, the student can draw a picture to help, such as drawing flowers in pots, pizza slices, etc.
Understanding Word Problems, part 2 offers problems that are more challenging. Often the word problems in school books are far too easy, and that causes students to just take the numbers that appear in the problem, apply the operation the lesson is about, and get by without really understanding. If it is too difficult, skip it for now and come back to it later - for example after some times tables practice. You can help the students by having them draw a picture for each problem.
Multiplication in Two Ways concentrates on the fact that it does not matter in which order the factors are. Objects presented in an array show this fact nicely when you either consider the rows as groups, or the columns as a group. Jumping on the number line is studied also.
Multiplying By Zero is illustrated with both the model of several groups of zero size (and zero groups of some size) and with the model of making several zero jumps on a number line (and making zero or no jumps).
I wish you success with math teaching!
Maria Miller, the author