Mathematical Concepts and Problem Solving

This Grade 3 lesson focuses on using the distributive and commutative properties to simplify multiplication, particularly with the number six. Students learn to break down complex multiplication problems into manageable parts using known facts, like fives, to solve for sixes. The lesson also introduces unit form and applies these strategies to solve word problems, reinforcing the concepts through practical examples.

What mathematical properties are being focused on in this lesson?

• Distributive and Additive

• Commutative and Associative

• Distributive and Commutative

• Associative and Distributive

Why do students often struggle with memorizing multiplication facts?

• They are not taught properly

• They find it boring

• They have difficulty with larger numbers

• They prefer addition

How can students use their knowledge of fives to solve 6 times 7?

• By dividing 42 by 6

• By subtracting 7 from 42

• By multiplying 5 times 7 and adding 7

• By adding 6 to 7

What is the concept of unit form in multiplication?

• Using addition to solve multiplication

• Using known facts to solve unknowns

• Breaking numbers into smaller units

• A unique method from Engage New York

How can skip counting help in solving 5 times 9?

• By counting by tens

• By counting by sevens

• By counting by fives

• By counting by nines

What is the result of 5 times 9 using skip counting?

• 35

• 50

• 45

• 40

How is the problem of six nines broken down?

• Into five nines and one nine

• Into two nines and four nines

• Into four nines and two nines

• Into three nines and three nines

What is the efficient way to add 45 and 9 using number bonds?

• Add 10 and subtract 1

• Add 5 and then 4

• Subtract 5 and add 14

• Add 9 directly

How many blades are there on seven windmills if each has six blades?

• 36

• 48

• 42

• 54

What is the total cost if each plant costs 9 dollars and Marco spends 27 dollars?

• 5 plants

• 4 plants

• 3 plants

• 2 plants