Ten Groups - Counting

Unit 7

This math unit begins by introducing basic counting skills with numbers less than 10, focusing on the identification and counting of specific shapes and colors. It progresses to more complex skills involving counting to the next ten with single-digit numbers and eventually with two-digit numbers, both less than 20. As the unit advances, it introduces base 10 blocks to develop the understanding of place values—initially in the tens and ones places, and later involving hundreds. The exercises transition from recognizing and matching numerals with pictorial base 10 block representations to translating these visualizations into numerical and word formats. Later sessions build on addition techniques without carrying, allowing sums less than 20, thereby reinforcing grouping concepts and basic arithmetic operations. Throughout, the unit progressively intensifies the complexity and depth of understanding of the base ten system, critical for foundational math competencies and higher arithmetic operations.more

Skills you will learn include:

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Learning through Game Play

At Mobius we have lots of great (and free) resources to help you learn math. To keep kids engaged, there’s nothing better than a math-powered video game! Try out a Mobius game mapped to Ten Groups - Counting.

Counting - Places to Picture - Tens and Ones (Level 1)

This math topic focuses on using base ten blocks to understand place values specifically in the tens and ones places. It helps students visualize and identify quantities represented by combinations of tens and ones blocks through images. Students are presented with specific counts of tens and ones and asked to select the corresponding picture that accurately displays those quantities. Each question offers multiple choices, enhancing the ability to distinguish between different combinations of tens and ones. This is part of a broader unit aimed at introducing counting with base ten blocks.more

This math topic focuses on enhancing number sense by requiring students to compute how many more items are needed to make a total of 30. The problems involve various two-digit numbers, all less than 30, and use visual aids such as circles, squares, and triangles of different colors, guiding students toward the nearest tens. Each question presents multiple-choice answers, helping students to practice basic addition and estimate sums up to 30.more

This math topic is designed to practice understanding quantities needed to reach a sum of ten, focusing on single-digit addition. Each problem presents a visual representation, such as colored shapes, and asks how many more are needed to make ten. The exercises are specifically focused on one-digit integers less than ten, enhancing basic addition and counting skills within the framework of completing ten groups. This is part of a broader study on addition and subtraction of one-digit integers.more

Counting - Picture to Word, Hundreds and Tens (Level 1)

This math topic focuses on understanding and practicing number sense using base 10 blocks. It encourages learners to visually interpret sets of hundreds and tens blocks and then write the corresponding numeral values in words. The learners will solve questions by identifying and counting the number of blocks presented in various configurations, translating the visual information into word form, which covers values like hundreds, thousands, and simple tens. This helps students enhance their counting skills, place value comprehension, and ability to relate pictorial data to written numbers.more

Counting - Picture to Number - Hundreds, Tens, and Ones (Level 2)

This math topic focuses on recognizing the value of numbers using base 10 blocks and translating that into numerical form. The problems involve analyzing images of hundreds, tens, and ones blocks and requiring the student to determine the corresponding total number. It is a practical exercise for reinforcing number sense, particularly understanding and interpreting place value. Each question is structured to challenge students to visually count and compute block quantities that represent numbers in the hundreds to thousands range. This is integral for building foundational math skills in quantifying and conceptualizing larger numbers.more

Counting - Picture to Number - Hundreds and Tens (Level 1)

This math topic focuses on the skill of counting and interpreting base 10 blocks to determine a numerical value, specifically in the hundreds and tens places. It includes problems where students must visually identify groups of blocks and match them to potential numerical answers. The problems are presented with multiple-choice answers, emphasizing number sense development by converting visual block representations into corresponding numbers. This is part of a broader unit on practicing number sense.more

This math topic focuses on basic addition skills where students are tasked with adding numbers without carrying, resulting in sums less than 20. The problems utilize visual aids like circles, triangles, and squares, enhancing understanding and engagement. The student is asked to add figures from the bottom (ranging from 1 to 3) to previously presented groups and to select the correct sum from provided options. This setup is designed to enhance computational skills within the area of single-digit addition and reinforce the concept of grouping in maths.more

Counting - Word to Picture, Tens and Ones (Level 1)

This math topic focuses on using base 10 blocks to help students learn to count and understand the concepts of tens and ones. It involves converting written number words into pictorial representations using base 10 blocks. Each exercise presents a number in word form, such as "thirty-four" or "twelve," and challenges students to select the correct image representation from multiple options. This introductory activity enhances number recognition, place value understanding, and counting skills, forming a part of the broader unit on introduction to counting with base ten blocks.more

Counting - Picture to Number - Tens and Ones (Level 2)

This math topic focuses on counting using base 10 blocks. It examines students' ability to interpret visual representations of quantities, specifically in the form of tens and ones, and translate these into numerical values. Each problem presents an image of base 10 blocks, and students must calculate the total number of blocks shown. By identifying and counting the tens and ones blocks, students refine their understanding and application of place value concepts in a visual and practical context.more

This math topic focuses on building number sense through problems that ask students to determine how many more of a certain item (represented visually) are needed to make a total of twenty. The questions involve various shapes and colors such as red circles, blue triangles, and orange squares. Each problem provides a visual representation of the items and offers multiple-choice answers. This type of exercise helps to reinforce basic addition skills, the concept of "making ten," and working with numbers less than 20.more

This math topic, titled "Ten Groups - Count, Less than 20," focuses on practicing early number sense skills through counting objects. The exercises involve counting different types of objects, such as circles, triangles, and squares, with each problem presenting various configurations and colors. Students are provided with multiple-choice answers to select after counting the objects depicted in the provided images. This set of problems is ideal for developing basic counting abilities and recognition of numbers under 20 in young learners.more

This math topic focuses on understanding how to make tens, specifically adjusting a group of items to reach a total of 20 objects. It involves addition problems where learners need to determine how many more items are needed to complete a set of 20. The objects used in the problems include various shapes (squares, circles, and triangles) and different colors, providing visual aids to help learners conceptualize and solve the problems. Each question is structured to enhance the learner's ability to quickly identify the quantity necessary to round up to the next ten, enhancing both counting and addition skills under 20.more

Counting - Picture to Places - Tens and Ones (Level 1)

This math topic focuses on using base ten blocks to understand and represent numbers. It helps strengthen counting skills and number place value comprehension, specifically identifying the number of tens and ones. The problems involve examining images of base ten blocks and counting the corresponding quantity of thousands, hundreds, tens, and ones. Each question presents different scenarios for learners to practice and reinforce their understanding of base-ten place value systems.more

Counting - Places to Picture - Tens and Ones (Level 2)

This math topic involves practicing with base ten blocks to strengthen understanding of the decimal number system, specifically focusing on the tens and ones places. Each question presents a specific number comprised of tens and ones, asking the student to choose the correct representation of these numbers using base ten block visuals. Through these exercises, students enhance their ability to visualize and interpret numbers in terms of tens and ones, thus fostering a foundational skill for further arithmetic learning.more

Counting - Number to Picture, Tens and Ones (Level 1)

This math topic focuses on the use of base 10 blocks to enhance understanding of counting, number representations, and decomposition into tens and ones. Across various problems, learners are asked to match a numeral with its correct base 10 block representation. Each question provides a number and multiple visual options showing combinations of block configurations, where learners must identify which configuration correctly matches the given number. The activity levels up essential skills in recognizing and interpreting base 10 numerations, critical for foundational math competencies.more

This topic focuses on practicing subtraction of integers within the range of 20, without the need for borrowing. It targets foundational math skills by comparing quantities of different shapes and colors to determine the difference in their counts, effectively employing subtractive reasoning in a visually engaging manner. These problems are part of a broader unit on the addition and subtraction of one and two-digit integers.more

Counting - Picture to Places - Hundreds, Tens, and Ones (Level 1)

This math topic focuses on recognizing and counting base ten blocks to understand place values including hundreds, tens, and ones. It is designed to enhance number sense by translating visual representations of blocks into numerical values corresponding to different place positions. Each problem provides an image of base ten blocks and requires interpreting these into the amount of thousands, hundreds, tens, and ones represented.more

Counting - Picture to Word, Hundreds and Tens (Level 2)

This math topic focuses on enhancing students' understanding of number sense using base 10 blocks. It consists of several questions where students are required to count the total number of blocks represented in picture format and translate it into written words, specifically focusing on counting by hundreds and tens. The exercises are interactive and combine visual aids, like SVG images of block arrangements, with multiple-choice worded answers, reinforcing the correlation between visual representations and numerical values. This topic is a part of a broader unit on number sense and offers a practical way to apply counting skills. more

This math topic focuses on counting various geometric shapes, particularly groups of ten or fewer items, with totals below 30. The problems require identifying quantities of specific shapes and colors within images. Each question presents options for answers. The skills practiced include visual discrimination, counting accuracy, and familiarity with basic geometric shapes. The set of problems is part of a unit aimed at building foundational number sense skills.more

Counting - Picture to Places - Tens and Ones (Level 2)

This math topic focuses on practicing counting and recognizing numbers using base ten blocks. It consists of several questions where students are asked to identify the quantities of thousands, hundreds, tens, and ones represented by various combinations of base ten blocks. Each question presents a pictorial representation of the blocks, and students must translate these images into numerical values, consolidating their understanding of place value and numerical structure within the base ten system. The topic is designed for online learning, enhancing basic counting skills and familiarity with base ten concepts.more

Counting - Picture to Word, Tens and Ones (Level 1)

This math topic involves practice with base 10 blocks, focusing on converting visual counts of tens and ones into numeral and word forms. The questions ask students to determine the total number of blocks represented in images and provide multiple answer choices in word form. Each question appears to vary in difficulty, including counting from single-digit quantities up to the thousands, aiming to reinforce understanding of place value and numeral to word conversion within base ten systems. The topic forms an introductory part of a broader unit on base ten blocks counting.more

Counting - Number to Picture, Tens and Ones (Level 2)

This math topic focuses on counting and number recognition using base 10 blocks. Students are required to match numbers with images of block arrangements that visually represent those numbers in tens and units. Specifically, they address matching quantities like 46, 57, 58, 56, 52, 33, and 14 with their corresponding base 10 block images. Each question offers several pictorial options, requiring learners to analyze and determine which diagram accurately represents the number using the base 10 block system. This engages visual learning and reinforces understanding of the decimal number system.more

Counting - Picture to Places - Hundreds and Tens (Level 1)

This math topic focuses on enhancing students' number sense through the use of base ten blocks. It helps students in counting hundreds, tens, and occasionally ones and thousands, translating visual representations into numerical place value. Each problem requires the student to count the number of hundreds and tens depicted by the blocks in the provided images and match or write the corresponding amount. This practice is fundamental for understanding the base ten counting system and place value, skills essential for higher arithmetic operations.more

Counting - Picture to Places - Hundreds, Tens, and Ones (Level 2)

This math topic focuses on developing the skill of interpreting and counting base ten blocks, specifically converting visual representations into numerical values in the forms of hundreds, tens, and ones. Questions on this topic require the analysis of images depicting different quantities of base ten blocks and determining the total value represented by these blocks. This practice is crucial for enhancing number sense and place value understanding, forming a foundational understanding of how numbers are structured and manipulated within the base ten system.more

Counting - Picture to Word, Hundreds, Tens and Ones (Level 1)

This math topic focuses on practicing number sense through the use of Base 10 blocks, helping students visualize and understand numbers in the forms of hundreds, tens, and ones. The skill of converting a visual representation of numbers using these blocks to numeric words is emphasized. Each question presents a different array of these blocks, asking students to count and translate the visual total into the written word form, reinforcing their comprehension of number structures in a practical and visual manner.more

This math topic focuses on developing basic number sense by requiring students to count items in various groups. Each question displays a different set of colored geometric shapes, and students must count and identify the correct number of specific shapes, like pink squares or orange triangles. The numbers involved are less than 10, making it accessible to beginners. The exercise emphasizes counting accuracy and the recognition of colors and shapes. Multiple-choice answers are provided for each question, supporting the development of decision-making skills in distinguishing the correct count among close options.more

This math topic focuses on helping learners master the skill of making ten to reach the next ten within the context of one-digit integers, specifically under the total sum of 30. It emphasizes mastery in recognizing how many more units are required to complete groups of ten, using simple integers (less than 30) and various geometric shapes (such as circles, triangles, and squares) to represent quantities visually. This skill development is instrumental in enhancing mental calculation speed and accuracy in basic addition, laying foundational arithmetic principles.more

Counting - Picture to Number - Tens and Ones (Level 1)

This math topic focuses on the skill of identifying and counting base ten blocks, converting images of tens and ones into numeric form. It involves recognizing and calculating the total number of blocks represented in each problem, assisting students in understanding the concept of base ten numeration. Students are required to observe images (represented through SVG graphics) of base 10 blocks and select the correct corresponding number from multiple choices, emphasizing foundational place value understanding in a visual context.more

Counting - Picture to Word, Tens and Ones (Level 2)

This math topic focuses on practicing counting and understanding the composition of numbers using Base 10 blocks. It helps students identify and express the number of tens and ones in a visual format of blocks, converting pictures of these blocks into numerical figures and words. The topic covers a range of simple to complex numbers, facilitating learning through increasing levels of difficulty. Each question on the topic asks students to find the total number of blocks represented in an image, with answers provided in a word format. This method reinforces both counting skills and number recognition in a base-ten context.more

This math topic focuses on addition skills, specifically adding integers without carrying, with sums under ten. It involves visual recognition and counting of basic shapes like squares, circles, and triangles, colored variously as orange, yellow, purple, white, and red. Each question presents a number to be added to a set of these shapes, requiring the student to find the total count of each specific shape after addition. The exercises are designed to strengthen early arithmetic skills for students learning single-digit addition operations.more

Counting - Picture to Places - Hundreds and Tens (Level 2)

This math topic focuses on enhancing students' number sense through the use of base 10 blocks. The exercises involve identifying quantities represented by hundreds, tens, and ones blocks in various combinations. Students are required to visually interpret and quantify these blocks, improving their understanding of place values within the decimal system. Each question presents multiple sets of block configurations to analyze and determine the corresponding numerical values, progressing through increasing levels of complexity to foster foundational arithmetic skills.more

Counting - Picture to Number - Hundreds, Tens, and Ones (Level 1)

This math topic focuses on using Base 10 blocks to understand the place value system, specifically the grouping into hundreds, tens, and ones. It enhances students' number sense by requiring them to count the total number of blocks represented in various images and convert these counts into numerical values. Each question presents a different set of blocks, with multiple choice answers to select from, reinforcing the comprehension of visually represented numbers and their notational conversion in a practical context.more

Counting - Picture to Word, Hundreds, Tens and Ones (Level 2)

This math topic focuses on developing number sense skills by using Base 10 blocks. Students are tasked with counting the blocks depicted in images and converting these visual representations into words, detailing the number of hundreds, tens, and ones. The exercises challenge students to accurately interpret and describe quantities in hundreds, tens, and ones, reinforcing their understanding of place value and number composition. Each question presents a different set of blocks, requiring students to practice counting and expressing the total in word form. This practice is essential for building strong foundational math skills in young learners.more

Counting - Picture to Number - Hundreds and Tens (Level 2)

This math topic involves solving problems by counting base 10 blocks to find the total number represented in images, focusing specifically on hundreds and tens. It is designed to enhance number sense through visual representation and counting practice. Each question provides a different set of base 10 blocks, requiring the student to visually interpret and calculate the numerical value, assisted by multiple-choice answers. This exercise is suitable for reinforcing understanding of place values and basic arithmetic skills.more

This math topic focuses on subtraction without borrowing, emphasizing problems with sums less than 10. It deals specifically with comparing sets of shapes and calculating the difference between their quantities. The problems are structured to help learners visualize the subtraction process and understand basic count comparisons within ten groups, improving foundational subtraction skills and counting accuracy in a visually engaging way. Each question is accompanied by multiple choice answers, reinforcing decision-making and estimation skills.more

Counting - Word to Picture, Tens and Ones (Level 2)

This math topic focuses on understanding and using base 10 blocks through a series of exercises where students associate quantities with pictorial representations. Specifically, it addresses the skills of counting base-10 blocks (tens and ones) and correlating written numerical words to images depicting that quantity. Each question presents a numerical value in word form and multiple pictures of base 10 blocks, asking students to identify which picture correctly represents the given number. This topic is designed to strengthen number representation and visualization skills within the scope of base ten counting.more