5th Grade Math Wayground Example Lesson

Open Ended

Why is it helpful to use base ten blocks or place value charts when multiplying decimals?

Multiple Select

Which of the following statements correctly matches the multiplication with its standard form?

• 3 copies of 2 tenths = 0.6

• 5 groups of 2 hundredths = 0.5

• 3 times 6 tenths = 1.8

• 6 times 4 hundredths = 0.24

Open Ended

Why is understanding place value and decimals important in everyday life?

Multiple Choice

Which of the following activities is most likely to help you improve your speed and accuracy with basic math facts?

• Fluency Practice

• Application Problem

• Concept Development

• Student Debrief

Multiple Select

Which of the following are correct ways to express 76.358 using units?

• 7 tens 358 thousandths

• 763 tenths 58 thousandths

• 763 tenths 8 thousandths

• 76 hundredths 358 thousandths

Multiple Choice

Which of the following best describes the process of converting a decimal number like 1.234 into thousandths?

• Multiply by 1000

• Divide by 1000

• Multiply by 10

• Divide by 10

Open Ended

After reviewing the problems on slides 2 and 3, explain how you would add or subtract decimals when the numbers are written in unit form (ones, tenths, hundredths, thousandths).

Multiple Choice

What is the sum of 7 ones 258 thousandths and 3 hundredths, written as a decimal?

• 7.288

• 7.285

• 7.2583

• 7.283

Multiple Choice

What is the product of 3 and 0.2?

• 0.6

• 0.5

• 0.8

• 0.4

Multiple Choice

Which of the following multiplication problems result in a product greater than 1?

• 3 × 0.2

• 3 × 0.3

• 4 × 0.3

• 2 × 0.42

Open Ended

Explain how you would use the area model to solve 7 × $2.41 using the distributive property.

Multiple Choice

Which mathematical model is used to break down the multiplication of a decimal by a whole number in the example 7 × 3.12?

• Area model

• Number line

• Bar graph

• Pie chart

Multiple Select

Which of the following are correct ways to represent the multiplication of a decimal by a whole number using models?

• Using base ten blocks

• Using a place value chart

• Using an area model

• Using a line plot

Open Ended

Miles incorrectly gave the product of 7 × 2.6 as 14.42. Use base ten blocks, a place value chart, or an area model to help Miles understand his mistake.

Open Ended

How does using an area model help in understanding the multiplication of decimals by whole numbers?

Multiple Choice

Multiply a decimal by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used. What is the objective of this lesson?

• To multiply decimals by single-digit whole numbers using area models and place value understanding

• To divide decimals by whole numbers

• To add decimals using number lines

• To subtract whole numbers from decimals

Open Ended

What questions do you still have about place value and decimals after reviewing the lesson contents?

Multiple Choice

Which part of the lesson do you think will help you the most in understanding place value and decimals?

• Fluency Practice

• Application Problem

• Concept Development

• Student Debrief