LESSON PLAN

Number Concepts to 1,000,000

Apothem Team

Grade 5 · Number

LESSON AT A GLANCE

Warm-up

5 min

Explore

15 min

Consolidate

10 min

Practice

12 min

Exit ticket

3 min

Warm-up

What is 1,000 more than 347,852? (348,852.) What is 10,000 less? (337,852.) What digit changed in each case? This place value mental math activates prior knowledge and sets up the lesson.

Explore

Large number investigation: each group researches one large quantity (provincial population, distance to another planet, number of books in a large library) and represents it in expanded form, words, and on a number line. Share: what reference point did you use to make the number feel meaningful?

Consolidate

Practice

Students represent 8 six-digit numbers in expanded form, order 6 numbers, and solve 3 estimation problems with large quantities. Exit ticket: what is the value of the 7 in 574,238?

Exit ticket

Students represent 8 six-digit numbers in expanded form, order 6 numbers, and solve 3 estimation problems with large quantities. Exit ticket: what is the value of the 7 in 574,238?

TIP Use real data for large numbers: city populations, distances between cities, historical timelines. Abstract large numbers without context are hard to reason about.

WORKED EXAMPLES

Write 403,056 in expanded form and in words.

Expanded: 400,000 + 3,000 + 50 + 6. Words: four hundred three thousand fifty-six. Note: the zero in the ten-thousands place is a placeholder that keeps 3 in the thousands position.

Order from least to greatest: 89,700 / 897,000 / 90,000 / 8,970

8,970 < 89,700 < 90,000 < 897,000. Compare by number of digits first, then by leading digit.

MATERIALS

•Place value mats to 1,000,000

•Number cards

•Large number line (0 to 1,000,000)

•First Peoples counting reference materials

WATCH FOR

!Students may read 403,056 as four hundred three thousand and fifty-six (forgetting the zero in ten-thousands). The zero is silent but critical as a placeholder.

!Students may confuse million and billion. One million = 1,000,000 (6 zeros). One billion = 1,000,000,000 (9 zeros). In the BC curriculum, Grade 5 goes to 1,000,000.