Solved Exercises on Multiplication Strategies Anchor Chart

Master multiplication strategies through visual anchor charts: arrays, repeated addition, skip counting, grouping, and distributive property with interactive reference materials.

Solution: Exercises 1 to 3
1 Array Strategy Anchor Chart
Exercise 1
Sarah has 4 rows of apples with 3 apples in each row. Create an anchor chart showing the array strategy.
Definition:

Array Strategy Anchor Chart: Visual representation of objects in equal rows and columns to show multiplication as rows × columns

Array Anchor Chart Method:
  1. Draw or arrange objects in equal rows and columns
  2. Count the number of rows
  3. Count the number of objects in each row
  4. Multiply rows by columns
  5. Label the chart with the multiplication sentence
Rows
4
Columns
3
Total
4 × 3 = 12
Step 1: Create the anchor chart

Draw 4 rows with 3 apples in each row

Row 1: 🍎🍎🍎

Row 2: 🍎🍎🍎

Row 3: 🍎🍎🍎

Row 4: 🍎🍎🍎

Step 2: Label the chart

Mark the number of rows: 4

Mark the number of columns: 3

Step 3: Write the multiplication sentence

4 rows × 3 columns = 12 apples

4 × 3 = 12

Step 4: Add the anchor chart title

"Array Strategy: Rows × Columns = Total"

4 × 3 = 12 apples
Final answer:

Sarah has 12 apples in total.

Applied rules:

• Commutative Property: 4 × 3 = 3 × 4 = 12

• Array Structure: Rows × Columns = Total Items

• Visualization: Drawing helps understand multiplication concept

2 Repeated Addition Anchor Chart
Exercise 2
Tom bought 5 packs of stickers. Each pack has 6 stickers. Create an anchor chart showing repeated addition.
Definition:

Repeated Addition Anchor Chart: Visual representation of multiplication as adding equal groups together multiple times

Groups
5
Items per group
6
Addition
6+6+6+6+6
Result
5×6=30
Step 1: Create the anchor chart

Show 5 groups of 6 stickers

Group 1: 📌📌📌📌📌📌

Group 2: 📌📌📌📌📌📌

Group 3: 📌📌📌📌📌📌

Group 4: 📌📌📌📌📌📌

Group 5: 📌📌📌📌📌📌

Step 2: Show repeated addition

6 + 6 + 6 + 6 + 6 = 30

Step 3: Connect to multiplication

5 groups of 6 = 5 × 6 = 30

Step 4: Add anchor chart title

"Repeated Addition: Same number added multiple times"

5 × 6 = 30 stickers
Final answer:

Tom bought 30 stickers in total.

Applied rules:

• Repeated Addition: 5 × 6 = 6 + 6 + 6 + 6 + 6

• Multiplication Concept: Equal groups added together

• Efficiency: Multiplication is faster than repeated addition

3 Skip Counting Anchor Chart
Exercise 3
There are 7 shelves in a bookcase. Each shelf holds 8 books. Create an anchor chart showing skip counting.
Definition:

Skip Counting Anchor Chart: Visual representation of counting forward by equal intervals to find multiplication products

Shelves
7
Books per shelf
8
Skip count
8,16,24,32,40,48,56
Result
7×8=56
Step 1: Create the anchor chart

Draw 7 shelves with 8 books each

Shelf 1: 📚📚📚📚📚📚📚📚

Shelf 2: 📚📚📚📚📚📚📚📚

Shelf 3: 📚📚📚📚📚📚📚📚

Shelf 4: 📚📚📚📚📚📚📚📚

Shelf 5: 📚📚📚📚📚📚📚📚

Shelf 6: 📚📚📚📚📚📚📚📚

Shelf 7: 📚📚📚📚📚📚📚📚

Step 2: Show skip counting sequence

Count by 8s: 8, 16, 24, 32, 40, 48, 56

Step 3: Connect to multiplication

7 groups of 8 = 7 × 8 = 56

Step 4: Add anchor chart title

"Skip Counting: Count by the same number repeatedly"

7 × 8 = 56 books
Final answer:

There are 56 books altogether.

Applied rules:

• Skip Counting: Count by the second factor the number of times indicated by the first factor

• Pattern Recognition: Skip counting creates multiplication patterns

• Memory Aid: Skip counting helps memorize multiplication facts

Multiplication Strategies Anchor Chart Guide
\(a \times b = \underbrace{a + a + a + \ldots + a}_{b \text{ times}}\)
Multiplication as Repeated Addition
Array Model
Rows × Columns = Total
Objects arranged in equal rows and columns
Grouping Model
Number of Groups × Items per Group = Total
Equal groups of objects combined
Number Line
Equal jumps of specific size
Visual representation of multiplication
Key definitions:

Multiplication: Combining equal groups to find a total amount

Factors: Numbers being multiplied together

Product: The result of multiplying two or more factors

Equal Groups: Groups containing the same number of items

Anchor Chart: Visual reference tool that displays key concepts and strategies

Anchor Chart Creation Steps:
  1. Choose a strategy: Array, repeated addition, skip counting, or grouping
  2. Visual representation: Draw or use symbols to show the concept
  3. Label clearly: Add numbers and words to explain the process
  4. Include examples: Show specific problems with solutions
  5. Highlight key points: Use colors or bold text for important concepts
Commutative Property: Order doesn't matter (3×4 = 4×3)
Zero Property: Any number × 0 = 0
Identity Property: Any number × 1 = itself
Tip 1: Use colorful visuals to make anchor charts engaging.
Tip 2: Include multiple examples on each anchor chart.
Tip 3: Keep anchor charts visible during practice sessions.
Tip 4: Refer back to anchor charts when solving problems.
Solution: Exercises 4 to 5
4 Grouping Strategy Anchor Chart
Exercise 4
A classroom has 6 groups of students. Each group has 4 students. Create an anchor chart showing the grouping strategy.
Definition:

Grouping Strategy Anchor Chart: Visual representation of finding the total by multiplying the number of groups by the number of items in each group

Number of groups
6
Students per group
4
Total
6×4=24
Step 1: Create the anchor chart

Draw 6 groups with 4 students in each group

Group 1: 🧑‍🎓🧑‍🎓🧑‍🎓🧑‍🎓

Group 2: 🧑‍🎓🧑‍🎓🧑‍🎓🧑‍🎓

Group 3: 🧑‍🎓🧑‍🎓🧑‍🎓🧑‍🎓

Group 4: 🧑‍🎓🧑‍🎓🧑‍🎓🧑‍🎓

Group 5: 🧑‍🎓🧑‍🎓🧑‍🎓🧑‍🎓

Group 6: 🧑‍🎓🧑‍🎓🧑‍🎓🧑‍🎓

Step 2: Label the groups

Mark the number of groups: 6

Mark the number of students per group: 4

Step 3: Write the multiplication sentence

6 groups × 4 students per group = 24 students

6 × 4 = 24

Step 4: Add the anchor chart title

"Grouping Strategy: Number of groups × Items per group = Total"

6 × 4 = 24 students
Final answer:

There are 24 students in the classroom.

Applied rules:

• Grouping Formula: Number of groups × Items per group = Total

• Equal Groups: All groups must contain the same number of items

• Verification: Addition and multiplication should give the same result

5 Distributive Property Anchor Chart
Exercise 5
Emma has 7 bags of candy. Each bag has 6 pieces. Create an anchor chart showing the distributive property.
Definition:

Distributive Property Anchor Chart: Visual representation of breaking apart one factor to make multiplication easier (a×(b+c) = a×b + a×c)

Bags
7
Candy per bag
6
Break apart
7×(5+1)
Calculate
(7×5)+(7×1)=42
Step 1: Create the anchor chart

Show 7 bags with 6 pieces each

Bag 1: 🍬🍬🍬🍬🍬🍬

Bag 2: 🍬🍬🍬🍬🍬🍬

Bag 3: 🍬🍬🍬🍬🍬🍬

Bag 4: 🍬🍬🍬🍬🍬🍬

Bag 5: 🍬🍬🍬🍬🍬🍬

Bag 6: 🍬🍬🍬🍬🍬🍬

Bag 7: 🍬🍬🍬🍬🍬🍬

Step 2: Break apart one factor

Break 6 into 5 + 1: 7 × 6 = 7 × (5 + 1)

Step 3: Apply distributive property

7 × (5 + 1) = (7 × 5) + (7 × 1)

= 35 + 7

= 42

Step 4: Add the anchor chart title

"Distributive Property: Break apart to make multiplication easier"

7 × 6 = 42 pieces
Final answer:

Emma has 42 pieces of candy in total.

Applied rules:

• Distributive Property: a × (b + c) = (a × b) + (a × c)

• Breaking Apart: Split one factor into easier-to-multiply parts

• Verification: Different methods should yield the same result

Multiplication Strategies Anchor Charts Reference
\(a \times b = b \times a\)
Commutative Property
Key definitions:

Multiplication: Repeated addition of equal groups

Factors: Numbers that are multiplied together

Product: The answer to a multiplication problem

Array: Objects arranged in rows and columns

Anchor Chart: Visual reference tool that displays key concepts and strategies

Anchor Chart Creation Process:
  1. Choose a strategy: Identify which multiplication strategy to focus on
  2. Create visual representation: Draw or use symbols to illustrate the concept
  3. Add labels and explanations: Include numbers and words to clarify the process
  4. Include examples: Show specific problems with solutions
  5. Make it memorable: Use colors, fonts, and graphics to enhance retention
Tip 1: Use consistent visual elements across all anchor charts.
Tip 2: Keep anchor charts simple and uncluttered.
Tip 3: Update anchor charts as students learn new strategies.
Tip 4: Have students help create anchor charts for ownership.

Commutative Property: a × b = b × a (order doesn't matter)
Associative Property: (a × b) × c = a × (b × c) (grouping doesn't matter)
Identity Property: a × 1 = a (multiplying by 1 doesn't change the number)
Zero Property: a × 0 = 0 (multiplying by 0 always equals 0)
Multiplication Anchor Chart Strategies:

• Arrays: Arrange objects in rows and columns (rows × columns)

• Repeated Addition: Add the same number multiple times

• Skip Counting: Count by equal intervals

• Grouping: Equal groups combined together

• Distributive Property: Break apart factors to make multiplication easier

• Visual References: Anchor charts provide consistent visual support

Multiplication Strategies Anchor Chart Visualization
Understanding Multiplication Through Anchor Charts
Explore how 4 × 5 can be represented using different anchor chart strategies:
1. Array: 4 rows of 5 items
2. Repeated Addition: 5 + 5 + 5 + 5
3. Skip Counting: 5, 10, 15, 20
4. Grouping: 4 groups of 5 items

Analysis: The chart shows how different multiplication anchor chart strategies lead to the same result.

  • Array: Visual representation of 4 × 5 = 20
  • Repeated Addition: 5 + 5 + 5 + 5 = 20
  • Skip Counting: Counting by 5s four times = 20
  • Grouping: 4 groups of 5 = 20

Questions & Answers

Question: Why do we need anchor charts for multiplication? Can't I just memorize the facts?

Answer: Anchor charts are very helpful because:

  • Visual Support: They help you see how multiplication works
  • Strategy Reference: They remind you of different ways to solve problems
  • Understanding: They help you understand WHY multiplication works, not just memorize answers
  • Independence: You can use them to help yourself when you're stuck

Example: If you forget 6×7, you can use the anchor chart to see it as 6 groups of 7 or as skip counting by 7s six times.

Memorization comes with practice, but understanding comes from seeing how the strategies work!

Question: Which multiplication strategy anchor chart should I use first?

Answer: Start with the array anchor chart because it's the most visual:

  • Arrays: Help you see multiplication as rows and columns
  • Repeated Addition: Shows that multiplication is adding the same number
  • Skip Counting: Helps with memorizing facts
  • Grouping: Connects to real-world situations

Once you understand arrays, you can see how they connect to repeated addition: 4 rows of 3 items is the same as 3 + 3 + 3 + 3.

Use the anchor charts in order: arrays → repeated addition → skip counting → grouping → distributive property.

Question: How can I make multiplication anchor charts at home for my child?

Answer: Here's how to create effective anchor charts at home:

  • Use poster board: Large paper that can be displayed
  • Include visuals: Draw pictures, use stickers, or print images
  • Keep it simple: One strategy per chart with clear examples
  • Use colors: Different colors for different parts of the strategy
  • Make it interactive: Let your child help create it

Example: For the array strategy, draw 3 rows of 4 stars, label "3 × 4 = 12", and add the title "Array Strategy: Rows × Columns = Total".

Place the anchor charts where your child can easily see them during homework time!