Build your students understanding of number relationships with this comprehensive bundle focused on representing and computing with powers of ten. The games, task cards, puzzles, reference sheets, and assessment activities in this “print-and-go” package provide everything you need to develop and assess your students’ understanding of how to represent powers of ten and how to multiply and divide whole numbers and decimals by powers of ten.
NOTE: This bundle contains five products available separately:
• Super Powers of Ten task cards + printables (set a)
• Super Powers of Ten task cards + printables (set b)
• Super Powers of Ten board game + card game set
• Self-Checking Riddles: Representing & Multiplying with Powers of Ten
• Bird Brains - x and ÷ with powers of ten task cards and printables (set a)
By purchasing this bundle you will save over 20%
on the cost of the individual products. In addition, you will receive 2 bonus flipbook foldables, perfect for your students’ math notebooks, that are only available in this bundle!
This product is a ZIP file containing five PDF s. For directions about how to “unzip” the files, TpT provides instructions here
Common Core State Standards for Mathematics addressed:
Numbers and Operations in Base Ten (5.NBT)
Understand the place value system.
• Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. (5.NBT.2)
• 4 graphic reference sheets
• 2 flipbook foldables
• place value mat & digit cards
• 4 sets of 32 task cards (128 cards in all) with answer sheets and keys
• Powers of Ten Four-in-a-Row
board game, spinners, and directions
• Powers of Ten Pathway
board game, spinners, and directions
• Super Powers of Ten
cards and directions
• 8 self-checking puzzles with answer keys
• 12 assessment activities with key/rubric
Super Powers of Ten task cards + printables (set a)
The 32 cards in this set focus on identifying equivalent forms of powers of ten: word form, standard form, multiplication expressions, and exponent form. The cards feature a variety of question types to help build your students’ flexibility when thinking about powers of ten. Check out the preview to see some examples of the kinds of questions your students will see on these task cards.
The printables consist of a full-page graphic reference sheet and two different one-page assessment activities. The reference sheet (provided in color and grayscale) defines “powers of ten” in a variety of ways and illustrates the different ways to represent powers of ten – standard form, using a multiplication expression, using exponents, and word form. The two provided assessment activities can be used to evaluate student understanding of powers of ten. The activities are formatted similarly, and have similar types of questions, though the numbers on each are different. You can use these activity pages as pre/post assessments, homework, center assignments, or any other purpose that fits your teaching style or classroom routines.
Super Powers of Ten task cards + printables (set b)
This set of task cards is designed as a follow-up to Set A. These task cards assume that students already have mastered the relationship between powers of ten written in standard form and in exponent form (e.g., 10,000 = 10^4). This set of cards require students to use their knowledge of powers of ten to examine the relationship between large numbers written in standard form and numbers written in “scientific notation”, such as 400 and 4 x 10^2. The term “scientific notation” is not used on the materials in this set, though you may wish to introduce that term if you feel that your students have a strong enough understanding of the concept to use this terminology. The 32 cards feature a variety of question types to help build your students’ flexibility when thinking about powers of ten. Check out the preview to see some examples of the kinds of questions your students will see on these task cards.
The printables consist of a full-page graphic reference sheet and two different one-page worksheets. The reference sheet (provided in color and grayscale) describes how “powers of ten” can be used to represent large numbers. The two provided assessment activities can be used to evaluate your students’ ability to apply powers of ten to represent large numbers. The worksheets are formatted similarly, and have similar types of questions, though the numbers on each are different.
Super Powers of Ten boards games + card game set
I designed these games to help build my students’ fluency with varied representations of powers of ten: standard form, exponent form, word form and as multiplication expressions. There are two board games – Powers of Ten Four-in-a-Row
and Powers of Ten Pathway
– as well as a set of cards. There are directions for each of the games, and the directions are so simple that your students will pick up on the games in no time. The Powers of Ten Pathway
board game and the set of cards offer multiple ways to play, so the games in this pack will provide hours of engaging mathematical practice.
The board games require very few materials: colored tokens for the students to place on the board, game pawns, and either a plastic, transparent spinner (available through most teacher supply companies such as EAI Education or Nasco) or just a paper clip and a pencil for students to use as a makeshift spinner.
For both the board games and the card game, I have included half-sheet reference sheets (two on a page) that may help some or all of your students as they play. The first sheet lists the four forms of power of ten featured on the gameboard and spinners, from 10^1 through 10^7. The second sheet lists all of the number and expressions featured on the playing cards. You might opt to give your students a copy of the reference sheets for them to look at while they play; they can also glue them in their math journals, providing a reference for other power of ten-based activities. You might also use these two reference sheets to differentiate for your students – students who are less fluent or proficient with expressions that use exponent forms of powers of ten can have the reference sheet while other students can play without the sheet.
Powers of Ten Self-Checking Riddles
The first three puzzles require students to identify equivalent forms of powers of ten, matching word form, standard form, and multiplication expressions to exponent form. For the first two puzzles, students simply have to match equivalent forms of powers of ten; for the third puzzle, students compare powers of ten – one in exponent form and the other in standard form. The other five puzzles involve multiplying numbers by powers of ten, represented in exponent form. Puzzles four through seven use single digit factors (e.g., 4 x 10^3), while the eighth puzzle uses two-digit factors – such as 38 x 10^5.
The included Table of Contents
lists the puzzles, as well as the skills on which the puzzles focus, and the pages on which each puzzle/answer key are found so you can more easily print out the exact puzzle you need.
Bird Brains - x and ÷ with powers of ten task cards and printables (set a)
This set of task cards is designed as an introduction to multiplying and dividing whole numbers and decimals by powers of ten, and the cards and accompanying resources offer multiple opportunities for differentiation. There are two sets of 32 tasks cards, and the questions and answers on the two sets do not overlap. Set A1 presents students with expressions that use powers of ten in standard form (e.g., “What is the quotient of 4.5 ÷ 100?”), while Set A2 uses whole number exponents to represent powers of ten (e.g., “What is the quotient of 68.92 x 10^3 ?”). The largest power of ten used in the expressions is 10,000 (10^4). Each set uses a different color border (purple for Set A1 and blue for Set A2). In addition, each card is labeled as belong to Set A1 or Set A2 to help distinguish them if you decide to print the cards in grayscale.
Have your students use the place value mat and digit cards as they work with the multiplication and division expressions on the cards. The mat and cards may be especially useful if you are using these cards to help develop your students’ understanding of the patterns evident when multiplying and dividing by powers of ten. You can have your students build the original number (the first factor or the dividend from the card) and then, beneath it, build the new number (the product or the quotient). As your students build each pair of numbers, they can compare the placement of the digits and how they have shifted to the right or to the left. For instance, if the student has a card with the expression 46.3 ÷ 100, they would build 46.3 on the mat, and then build the quotient, 0.463. Having the two numbers side by side can allow students to more easily see that each digit in the quotient is two places to the right of the digit’s original placement.
The provided assessment activities can be used to evaluate your students’ mastery of the concept of multiplying and dividing by powers of ten. The first four assessment activities are full-page in length and formatted similarly, and have similar types of questions, though the numbers on each are different. The first two assessment activities (activities a and b) use standard form to represent powers of ten, just as the cards in Set A1 do, and the other two assessment activities (c & d) use exponents to denote powers of ten, as on the cards in Set A2. In addition to these four assessment pages, you also have four half-page, “exit ticket”-style assessments. Two of them use standard form for the powers of ten and two use exponent form. Each of these exit tickets present students with a series of equations and ask them to write about the patterns evident in the equations. Keys and rubrics are provided for all of these assessment activities.
I hope your students enjoy these resources and are able to build their proficiency with multiplying and dividing with powers of ten. – Dennis McDonald