SECOND TRIMESTER
STRATEGIES to multiply and divide
Students have examples of all of the strategies with examples in their math notebooks
CHECK OUT THE EXAMPLES BELOW FOR EXTRA HELP
CHECK OUT THE EXAMPLES BELOW FOR EXTRA HELP
Multiplication:
Small numbers: Draw Equal Groups, Repeated Addition, Arrays, Number Line (skip counting)
3 x 4 = ? 9 x 6 = ? 7 x 4 = ?
Division:
Small numbers: Make Equal Groups, Repeated Subtraction, Number line (reverse skip counting)
72 / 9 = ? 24 / 4 = ? 42 / 6 = ?
Small numbers: Draw Equal Groups, Repeated Addition, Arrays, Number Line (skip counting)
3 x 4 = ? 9 x 6 = ? 7 x 4 = ?
Division:
Small numbers: Make Equal Groups, Repeated Subtraction, Number line (reverse skip counting)
72 / 9 = ? 24 / 4 = ? 42 / 6 = ?
Writing WORD PROBLEMS
Multiplication: DESCRIBE the GROUPS and NUMBER IN EACH GROUP. Multiplication problems are always asking for the TOTAL.
Example:
My uncle gave ice-cream to my 4 cousins last night. He gave 3 scoops of ice-cream to each of my cousins. How many scoops did he give in total?
Division: DESCRIBE the TOTAL and the GROUPS. Ask for the NUMBER IN EACH GROUP.
Example:
There are 32 pieces of pizza and I need to share equally with 8 people. How many pieces will each person get?
Example:
My uncle gave ice-cream to my 4 cousins last night. He gave 3 scoops of ice-cream to each of my cousins. How many scoops did he give in total?
Division: DESCRIBE the TOTAL and the GROUPS. Ask for the NUMBER IN EACH GROUP.
Example:
There are 32 pieces of pizza and I need to share equally with 8 people. How many pieces will each person get?
Solving Word Problems
Read the word problem. Read the word problem AGAIN and identify the groups/number in each group and what the question is asking. Read the word problem AGAIN and underline the important information.
Use the POLYA'S STEPS (image below) to help organize your ideas and answer the questions completely and accurately.
Here are some tips-
UNDERSTAND:
Complete the chart with details from the word problem
(Ex: GROUPS- 6 bags of apples, in EACH group- 18 apples, TOTAL- how many apples?
PLAN:
Each number is a step- you will follow each step when the plan is complete. For step 2 and 3 write the strategy you will use to solve/check (Ex: SOLVE WITH standard multiplication, CHECK WITH lattice)
SOLVE:
1. Use the numbers from the chart to help you create a number sentence (Ex: 6 x 18 = ?)
2. Organize your strategy and show ALL of your work
CHECK:
3. Organize your strategy and show ALL of your work
4. Answer the question from the problem (Ex: There are 108 apples in total)
Use the POLYA'S STEPS (image below) to help organize your ideas and answer the questions completely and accurately.
Here are some tips-
UNDERSTAND:
Complete the chart with details from the word problem
(Ex: GROUPS- 6 bags of apples, in EACH group- 18 apples, TOTAL- how many apples?
PLAN:
Each number is a step- you will follow each step when the plan is complete. For step 2 and 3 write the strategy you will use to solve/check (Ex: SOLVE WITH standard multiplication, CHECK WITH lattice)
SOLVE:
1. Use the numbers from the chart to help you create a number sentence (Ex: 6 x 18 = ?)
2. Organize your strategy and show ALL of your work
CHECK:
3. Organize your strategy and show ALL of your work
4. Answer the question from the problem (Ex: There are 108 apples in total)
Polya's Steps
Multiplying 1 digit by many digits
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Multiplying 2 digit x 2 or more digits
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