Can you name a number with a hundreds digit that is a factor of the ten thousands digit? How about a number whose ones digit is the difference between the tens and thousands digit? With this set of 32 task cards, your students build and strengthen their understanding of place value while applying mathematical vocabulary to work through a series of clues just like those. Extend your students’ practice (or assess their level of mastery) with the four included assessment activities. With this set of print-and-go resources, your students will grow more proficient in their understanding of place value and become stronger in their ability to reason about numbers.
• 3 graphic reference sheets
• 32 task cards
• 8 self-checking “answer cards”
• task card answer sheet and key
• 4 assessment activities and keys
About the Cards
This set was designed to help students develop and practice applying their understanding of place value, number relationships, and a wide variety of mathematical vocabulary while providing an engaging challenge for your kids.
The cards present a series of clues about the digits in a given number and the students have to either identify one of a set of numbers that matches all of the clues or use given digits to create a number that matches all of the clues.
The cards were designed and structured in a way to allow for scaffolded practice, progressing in difficulty:
: students are given a set of three clues and choose one of four five-digit whole numbers
that matches all of the clues
: students are given a set of three clues and arrange a set of digits to create a five-digit whole number
that matches all of the clues
: students are given a set of three clues and choose one of four decimals
(through hundredths) that matches all of the clues
: students are given a set of three clues and arrange a set of digits to create a five-digit decimal
that matches all of the clues
Using the Cards
The organization of the problem types allow for scaffolded practice. Since the cards are designed with sets of similar problem types that progress in difficulty, you can use this structure to meet the diverse needs within your class. If you have students that are only working with whole number place value while others have already been introduced to decimals, you might have one group of students work exclusively on cards 1-8 and 9-16 to practice with whole numbers while the other students work on cards 17-24 and 25-32 to extend their place value understanding to decimals. If some of your students are still building proficiency with place value, have them work on cards 1-8 or 17-24, which provide choices for them to select among; other student can work on cards 9-16 and 25-32, which present no choices but instead requires students to arrange digits to create a number.
Since the cards were designed so that each set of eight cards (e.g., cards 1-8, cards 25-32) feature similar problem types, you can use this organizational structure to differentiate based on your students’ levels of proficiency with the target concept. Decide which set of eight cards you want your students to work with and then:
1) have your students work through all eight at a time while you circulate and provide guided support;
2) work through the first two cards together and then have students use the other six as paired or independent practice.;
3) have your more able students complete the cards on their own while you provide guidance to a small group; or,
4) have students work in pairs to complete the first two and then complete the other six on their own.
Beyond the suggestions above, there are lots of ways in which you can implement the task cards. You can have the students work on them independently, working through the task cards on their own. The students can work on them in pairs or small groups, completing all the task cards in one session. You can use them in centers, having the students complete 6-8 task cards a day over the course of the week. You can even use them as a variation of “problem of the day”, giving each student 1 sheet of 4 cards to glue in their journals and solve, one sheet per day for eight days.
Reinforcing and Assessing Understanding
The printables consist of three reference sheets and four different one-page assessment activities. There are two half-page reference sheets that focus on place value, one that addresses whole number place value (ones through hundred millions) and another that addresses whole number and decimal place value (thousandths through hundred thousands). A third, full-page reference sheet, is a glossary of mathematical vocabulary, providing definitions and examples for the different mathematical terms used on the cards, such as expanded form, prime number, and factor. Your students can use the journal inserts as guides while they work on the cards, as well as when they complete other tasks that relate to place value and other mathematical topics.
The four provided activity sheets can be used to evaluate student understanding of place value. They each have four problems similar to those one the cards – two problems that ask students to select the one number among four choices that match a set of clues, and two problems that ask students to use five specific digits to create a number that matches a set of clues. Assessment activities A & B use five-digit whole numbers (like cards 1-16) while activities C & D use decimals (like cards 17-32). The activity pages are formatted similarly, and have similar types of questions, though the numbers on each are different. While these activity sheets can be used as assessments, you can use them in any number of ways – homework, paired practice, center assignments, or any other purpose that fits your teaching style or classroom routines.
For more practice with place value and number relationships, please check out the other related resources I have available –
From Place to Place place value relationships task cards + printables (set a)
From Place to Place place value relationships task cards + printables (set b)
Placing the Value – decimal place value relationships task cards + printables
Rounding the World - rounding whole numbers task cards & printables (set a)
Self-Checking Math Riddles – Rounding to the Nearest 10 and 100
I hope your students enjoy these resources and are able to build their proficiency with place value. – Dennis McDonald