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Lesson Plans and Worksheets for Grade 5

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 5

Common Core For Grade 5

Examples, solutions and videos to help Grade 5 students learn how to convert numerical expressions into unit form as a mental strategy for multi-digit multiplication.

Common Core Standards: 5.OA.1, 5.OA.2, 5.NBT.5

New York State Common Core Math Grade 5, Module 2, Lesson 4

Grade 5, Module 2, Lesson 4 Worksheets (pdf)

The following figure shows how to convert numerical expressions to simplify multi-digit multiplications. Scroll down the page for more examples and solutions.

Lesson 4 Concept Development

Problems 1–2

8 × 31

8 × 29

Problems 3–4

49 × 20

20 × 51

Problems 5–6

101 × 12

12 × 98

Lesson 4 Problem Set

1. Circle each expression that is not equivalent to the expression in bold.

a.**16 × 29**

29 sixteens

16 × (30 – 1)

(15 – 1) × 29

(10 × 29) – (6 × 29)

b.**38 × 45**

(38 + 40) × (38 + 5)

(38 × 40) + (38 × 5)

45 × (40 + 2)

45 thirty-eights

2. Solve using mental math. Draw a tape diagram and fill in the blanks to show your thinking.

c. 79 × 14 = _____ fourteens

Think: ____ fourteens – 1 fourteen

= (____ × 14) – (___ × 14)

= ______ - ______ = ______.

d. 21 × 75 = ____ seventy-fives

Think: ___ seventy-fives + ___ seventy-five

= (___ × 75) + (___ × 75)

= ______ + ______ = _____

3. Define the unit in word form and complete the sequence of problems as was done in Problems 3–4 in the lesson.

a. 19 × 15 = 19 __________

Think: 20 _______ – 1 __________

= (20 × ____) – (1 × ___)

= _______ – _______ = _______

b. 14 × 15 = 14 ________

Think: 10 _________ + 4 _________

= (10 × ____) + (4 × _____)

= _______ + _______ = _______

Lesson 4 Homework

1. Circle each expression that is not equivalent to the expression in bold.

a. 37 × 19

37 nineteens

(30 × 19) – (7 × 29)

37 × (20 – 1)

(40 – 2) × 19

2. Solve using mental math. Draw a tape diagram and fill in the blanks to show your thinking.

b. 11 × 26 = ________ twenty-sixes

Think: _______ twenty-sixes + ____ twenty-sixes

= (_____ × 26) + (_____ × 26)

= __________ + __________ = _________

3. Define the unit in word form and complete the sequence of problems.

a. 29 × 12 = 29 ____________________

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Lesson Plans and Worksheets for Grade 5

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 5

Common Core For Grade 5

Common Core Standards: 5.OA.1, 5.OA.2, 5.NBT.5

New York State Common Core Math Grade 5, Module 2, Lesson 4

Grade 5, Module 2, Lesson 4 Worksheets (pdf)

The following figure shows how to convert numerical expressions to simplify multi-digit multiplications. Scroll down the page for more examples and solutions.

Lesson 4 Concept Development

Problems 1–2

8 × 31

8 × 29

Problems 3–4

49 × 20

20 × 51

Problems 5–6

101 × 12

12 × 98

1. Circle each expression that is not equivalent to the expression in bold.

a.

29 sixteens

16 × (30 – 1)

(15 – 1) × 29

(10 × 29) – (6 × 29)

b.

(38 + 40) × (38 + 5)

(38 × 40) + (38 × 5)

45 × (40 + 2)

45 thirty-eights

2. Solve using mental math. Draw a tape diagram and fill in the blanks to show your thinking.

c. 79 × 14 = _____ fourteens

Think: ____ fourteens – 1 fourteen

= (____ × 14) – (___ × 14)

= ______ - ______ = ______.

d. 21 × 75 = ____ seventy-fives

Think: ___ seventy-fives + ___ seventy-five

= (___ × 75) + (___ × 75)

= ______ + ______ = _____

3. Define the unit in word form and complete the sequence of problems as was done in Problems 3–4 in the lesson.

a. 19 × 15 = 19 __________

Think: 20 _______ – 1 __________

= (20 × ____) – (1 × ___)

= _______ – _______ = _______

b. 14 × 15 = 14 ________

Think: 10 _________ + 4 _________

= (10 × ____) + (4 × _____)

= _______ + _______ = _______

Lesson 4 Homework

1. Circle each expression that is not equivalent to the expression in bold.

a. 37 × 19

37 nineteens

(30 × 19) – (7 × 29)

37 × (20 – 1)

(40 – 2) × 19

2. Solve using mental math. Draw a tape diagram and fill in the blanks to show your thinking.

b. 11 × 26 = ________ twenty-sixes

Think: _______ twenty-sixes + ____ twenty-sixes

= (_____ × 26) + (_____ × 26)

= __________ + __________ = _________

3. Define the unit in word form and complete the sequence of problems.

c. 19 × 11 = 19 ____________________

Think: 20 ________ – 1 ________

= (20 × ______) – (1 × _____)

= __________ – __________ = __________

3. Define the unit in word form and complete the sequence of problems.

a. 29 × 12 = 29 ____________________

Think: 30 _____________ – 1 _____________

= 30 × ______) – (1 × _____)

= __________ – __________ = __________

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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