Four Times Facts

Overview

In this lesson, students explore multiplication by 4 using equal groups, arrays, and real-world story contexts. They connect multiplication to division and practice strategies and patterns that match Common Core expectations for Grade 3.

Learning intentions

Students will be able to:

• Interpret 4 × a whole number as total objects in equal groups.
• Solve multiplication problems involving 4 with efficient strategies and known facts.
• Use properties of operations to find products (for example, making 4 × 7 from known products).
• Connect multiplication and division by writing a related division fact.

Success criteria

Students can:

• Explain what 4 × 6 means using words or drawings.
• Compute 4 × 1 through 4 × 10 accurately and explain at least one strategy.
• Show how they used a known fact (like 8 × 4) or a property (like associativity or distributivity) to solve a new one.
• Match a multiplication fact with a related division equation (for example, 4 × 6 = 24 means 24 ÷ 4 = 6).

Curriculum links

• Operations and Algebraic Thinking—interpret products of whole numbers as groups and totals.
• Operations and Algebraic Thinking—use properties of operations to multiply and divide.
• Operations and Algebraic Thinking—fluently multiply and divide within 100 using strategies and known facts.

Lesson structure (60 minutes)

1. 0–6 min · Hook: “Four in a Row.” Teacher shows a picture of four objects repeated in rows (e.g., bracelets, sticks, or blocks) and asks: “What multiplication sentence matches this?” Students tell what they notice, then volunteer a possible sentence.

2. 6–15 min · Quick review + check for understanding. Teacher reviews last lesson’s idea of multiplication as equal groups and writes two prompts: “3 × 5 (How many?)” and “10 ÷ 2 (What does that mean?)” Students solve using drawings or fingers and explain their thinking in one sentence.

3. 15–28 min · Guided practice: hands-on equal groups. Teacher sets out linking cubes (or counters) and models making 4 groups of a chosen size (for example: 4 groups of 6). Students build equal groups for two more examples: 4 × 3 and 4 × 7, recording a drawing and the multiplication sentence.

4. 28–40 min · Strategy lesson: properties & making facts. Teacher introduces a small “fact ladder” for 4s using known products and properties of operations. For example:

• “4 × 7 is the same as 4 × (5 + 2) = (4 × 5) + (4 × 2).”
• “If 4 × 6 = 24, then 6 × 4 = 24.” Students choose one target (teacher provides 4 × 8 or 4 × 9) and complete at least one strategy-based computation, writing the steps.

5. 40–50 min · Connect multiplication to division. Teacher writes: 4 × 6 = 24, then asks: “What division fact would undo this?” Students complete related equations for two problems (teacher chooses 4 × 5 and 4 × 9):

• 4 × 5 = __, so __ ÷ 4 = 5
• 4 × 9 = __, so __ ÷ 4 = 9 Students explain how they know division matches the groups.

6. 50–58 min · Independent practice: work like a problem solver. Teacher provides a short worksheet or mini-cards (teacher reads aloud if needed):

• Find: 4 × 2, 4 × 4, 4 × 6, 4 × 10
• Draw one array or equal-group picture for one answer
• Write one related division equation for one product Student completes independently; teacher circulates and prompts with “What does 4 mean here?” or “Which known fact can help?”

7. 58–60 min · Exit ticket: one quick accuracy + one explanation. Student answers two items:

• “4 × 8 =?”
• “Explain your strategy in one sentence (drawing, repeated addition, arrays, or making 4 × (5 + 3)).”

Resources

• Linking cubes or counters (at least 40 total)
• Small base-ten blocks or snap cubes (optional)
• Index cards or small paper strips labeled “4”
• Whiteboard/marker or chart paper
• Mini worksheet or problem cards (4 × 1 to 4 × 10 focus)
• Pencil and eraser
• Timer
• Drawing templates for equal groups and simple arrays (optional)

Assessment

• During guided practice, teacher checks whether the student correctly forms equal groups of 4 and records the matching multiplication sentence.
• During strategy work, teacher listens for evidence of properties of operations (like breaking 4 × (5 + 2) into two parts).
• Exit ticket: confirm accurate product and that the explanation matches a valid strategy and context.

Differentiation

• Support: Provide sentence starters such as “4 groups of ___ is the same as 4 × ___,” and offer a partially completed fact ladder for strategy steps.
• Support: Allow a drawing or manipulatives for any product until fluent; require explanation of the role of “4” (number of groups or size of each group).
• Extension: If the student finishes early, ask for two different strategies for one product (for example, compute 4 × 9 as 4 × (10 − 1) and also using an array).
• EAL/SEN: Keep directions short, read prompts aloud, and use consistent language for “equal groups,” “total,” and “divide undoes multiplication.”