Grade 3

This math unit introduces and develops foundational arithmetic skills through visual representations, focusing on addition and subtraction using vivid imagery of shapes like squares and circles. Starting with basic counting and numeral identification, students learn to associate quantities with both numeric and word descriptions by counting shapes in pictures. As they progress, they begin to tackle addition, learning how to form basic addition equations from images and connecting these skills in both numerical and word formats. Subtraction is similarly introduced, with students practicing by identifying how many items remain after some are removed, advancing from simple subtraction using pictures to constructing subtraction equations. The unit comprehensively covers numeracy skills, moving from simple counting to forming and solving arithmetic equations, emphasizing visual learning to engrain comprehension of these fundamental math concepts.

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This math unit focuses on developing students' number sense by practicing the conversion between numerical values and their word equivalents, primarily using the concept of powers of ten. Initially, students start by converting small powers of ten (tens and hundreds) from numbers to words and vice versa. As the unit progresses, the challenges increase to include thousands and even more specific numbers, both in numerical and written formats. The exercises require students to precisely match and represent powers of ten, gradually increasing in difficulty and complexity—eventually dealing with thousands. This structured approach not only enhances the students' ability to comprehend various numerical magnitudes but also sharpens their accuracy in representing numbers in written form, critical for effective mathematical communication. The repetition and variety in practice questions ensure a thorough understanding and ability in handling numbers across different scales.

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In this math unit, students progress through a series of increasingly complex skills associated with interpreting single-bar graphs. The unit begins with basic tasks such as reading and extracting values from graphs centered around familiar topics like pet ownership and sports preferences. As students become more comfortable with reading graphs, they advance to determining categories corresponding to specific values and identifying minimal and maximal data points. Towards the end of the unit, the tasks evolve to involve calculations based on the graphical data, including summing and subtracting values from different categories and making comparative analyses between data points. By the conclusion of the unit, students are adept at a range of practical graph interpretation skills, from straightforward value reading to analyzing total values and making complex comparisons, applying these to real-world contexts such as sports popularity and weather conditions. This comprehensive approach not only enhances their ability to interpret graphical data but also incorporates fundamental arithmetic operations and data analytical thinking.

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This math unit begins with a focus on basic fraction concepts, starting with visual understanding through representations of parts of whole objects, like pizzas, to express simple fractions. It proceeds to using these fraction concepts in interpreting and selecting fractions on number lines, where the focus is both on simple and mixed fractions. The unit transitions into more complex exercises involving conversion between mixed fractions and improper fractions. Both visual aids and number lines are used to strengthen the student's skills in representing fractions accurately, estimating their values, and performing conversions between different forms. Advanced topics cover reading and placing improper fractions on number lines, focusing on spatial understanding and approximation skills, significantly enhancing proficiency in handling fractions in multiple contexts. Thus, the progression from basic visual understanding of fractions to more complex manipulations and representations forms the crux of this math unit.

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This math unit progresses from basic counting and introductory multiplication concepts to more advanced multiplication practices and applications. Starting with visual aids like dice for counting in groups, the unit shifts to developing proficiency in skip counting by single digits and tens, both upwards and downwards. This builds foundational skills necessary for understanding numerical patterns and multiplication sequences. As the unit progresses, students engage in structured multiplication practice, focusing first on times tables and single-digit multiplication using column notation. This introduces the concept and practice of structured multiplication of integers. Additionally, the unit incorporates practical arithmetic applications with a series of topics on coin math. Here, learners calculate the total value of different U.S. coins, enhancing their skills in quick addition and multiplication while applying these concepts to everyday financial scenarios. Finally, the unit culminates in exploring fact families with multiplication and division, reinforcing the interconnectedness of these operations and solidifying a comprehensive grasp of basic arithmetic within real-life contexts.

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This math unit begins by teaching students the basics of numerical comparison using fun alligator visuals to explain less than and greater than concepts. Initially, students learn to associate the alligator mouth direction with comparing single-digit numbers. Progressively, they apply this understanding to the base 10 blocks system, starting with simple ones and advancing to comparing tens and ones. The unit continues to build complexity by introducing comparisons using hundreds and tens, and eventually thousands and hundreds. Through these steps, the unit develops foundational skills in understanding and visualizing numerical magnitudes using visual aids such as alligator symbols and base 10 blocks. This method enhances their capacity to understand the base ten numeration system, preparing them for more complex mathematical concepts related to counting, grouping, and place value understanding in comparative scenarios.

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This math unit begins with basic counting and addition skills involving numbers less than 20, using visual aids to reinforce grouping concepts. As students progress, they transition to addition without carry using base 10 blocks for tangible numerical representation, initially focusing on tens and ones. The complexity increases as carrying is introduced, enhancing students' ability to handle larger sums within tens and ones. Further progression includes adding numbers using base 10 blocks at the hundreds and thousands levels, both with and without carrying over, fostering a deeper understanding of place value and carrying processes. Lastly, students learn to solve picture-based addition problems and convert visual block representations into numerical expressions or answers, covering sums up to the thousands. This sequential development builds a robust foundation in addition, emphasizing visual understanding and translation of abstract numeric concepts into concrete problem-solving skills.

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This math unit begins with developing a foundational understanding of place values using base 10 blocks to recognize and construct numbers in hundreds and tens visually. As students progress, they work on transforming these visual representations into numerical and word forms, moving from simple counting to detailed descriptions in hundreds, tens, and ones. The unit advances into the realm of addition, starting with adding numbers without carry-overs in the tens and ones places and progressing to more complex problems that include carrying over within these smaller units. The difficulty and scope of addition then expand to include hundreds and tens, ultimately reaching into adding thousands and hundreds, both with and without carry-overs. By the end of the unit, students are expected to be adept at visually interpreting, calculating, and solving addition problems using base 10 blocks across a range of place values, solidifying their understanding of arithmetic operations and place value systems.

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This math unit specializes in teaching students how to identify and calculate the total value of U.S. coins in various combinations. The unit starts with simpler tasks where students learn to count total values using one or two types of coins, such as pennies and dimes. As they progress, students deal with more complex combinations including varying types of coins like nickels, dimes, and quarters. The unit methodically extends the complexity by introducing exercises where students handle mixed sets of pennies, nickels, dimes, and quarters, maneuvering through basic addition to calculate total values. Towards the end of the unit, proficiency in handling individual types of coins is revisited and reinforced, culminating in exercises that combine multiple coin types in intricate configurations. This comprehensive approach enhances both arithmetic skills and practical knowledge necessary for effective money management.

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This math unit begins by exploring the congruence and similarity of 2D shapes, helping students recognize geometric properties and relationships. Initially, learners identify and differentiate these properties in 2D shapes, progressing to more complex identification tasks involving both congruence and similarity criteria. The unit transitions into the three-dimensional realm by teaching the naming and identification of parts of 3D shapes, such as vertices, faces, and edges. Here, students not only learn to recognize these elements but also practice counting them in various 3D figures, enhancing their spatial awareness and understanding of three-dimensional forms. Subsequently, the unit shifts focus back to 2D shapes, particularly circles, where students delve into understanding parts of a circle and the mathematical relationships between a circle’s diameter and radius. This section anchors knowledge on the geometric basics of circles. The final phase of this unit involves a comprehensive treatment of triangle classification. Students learn to classify triangles based on angles (acute, right, obtuse) and by their sides (scalene, isosceles, equilateral), consolidating their understanding with reverse classification practices and reinforcing their overall grasp of geometric properties and relationships integral to both two and three-dimensional shapes.

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This math unit begins by introducing students to basic counting and identification of geometric shapes and quantities within groups of ten, under 30 items. It then progresses to more complex subtraction concepts using visual aids like base 10 blocks. Students first handle subtraction without borrowing, learning how to visually and numerically interpret and solve subtraction with larger numbers in the thousands and hundreds. The unit then advances to scenarios involving borrowing, initially omitting it, and later integrating borrowing techniques as the problems increase in complexity. The lessons transition from simple integer subtraction with visual comparisons among smaller groups to more challenging subtraction equations that include both borrowing and larger numerical values in hundreds and tens. Key skills developed throughout the unit include mathematical reasoning, visual interpretation of numerical data, understanding place values, and mastering the mechanics of subtraction within the base ten system across varying levels of difficulty.

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This math unit begins by familiarizing students with basic concepts of comparison using fun, alligator-themed visuals to represent "less than" and "greater than" symbols, making the concepts more intuitive and memorable. As the unit progresses, students apply these comparison skills to real-world concepts, specifically coin values, starting with simpler pennies and gradually including nickels, dimes, and quarters. Students compare the monetary values of different coin groupings, determining which group has a greater, lesser, or equal value. Throughout the unit, they are engaged with various representation formats, such as symbols, words, and the alligator visuals, to reinforce their understanding and application of numerical comparisons. This approach not only strengthens their grasp of basic math operations but also introduces them to early financial literacy skills, using both visual aids and practical examples involving everyday currency.

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This math unit focuses on developing students' ability to tell time, beginning with basic recognition of the hour hand's position on analog clocks and advancing towards understanding and interpreting minute increments, including quarter and half hours. Initially, students learn to identify where the hour hand points on full and quarter hours. Progressing further, they practice reading the minute hand's position for more accurate time-telling at quarter-hour intervals. The unit advances into converting time between analog and digital formats, first with full hours and then including half and quarter hours, enhancing their flexibility in reading different time formats. Towards the end of the unit, students build on this knowledge by converting analog times into written words and vice versa, focusing on five-minute intervals and learning to interpret written time descriptions matching them to clock face images. This comprehensive approach ensures students can interpret, convert, and communicate time across various contexts and formats.

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This math unit begins by strengthening students' understanding of base ten blocks in representing numbers, starting with identifying numbers in pictorial form and translating these into numerical and word forms based on hundreds and tens. As the unit progresses, it shifts focus to teach subtraction using base ten blocks. It starts with simpler tasks that require forming subtraction equations from visual representations (cross-out) without borrowing, involving digits in tens and ones places. Students gradually move towards more complex subtraction problems involving hundreds and eventually thousands, still without the need for borrowing. The unit then introduces exercises that require borrowing within subtraction, thus dealing with more complex numerical concepts involving larger quantities represented by hundreds and thousands. This progression builds a comprehensive understanding of base ten concepts and subtraction, enhancing students' ability to interpret, calculate, and express numerical values visually and numerically.

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This math unit begins by introducing basic concepts of 2D shapes, focusing first on identifying simple geometric figures by matching shape names and images. As the unit progresses, students delve deeper into geometry by counting vertices and sides, which supports their ability to classify shapes more specifically. The lesson complexity increases as students learn to differentiate shapes based on congruence and similarity, involving analysis of angles and side lengths. Additionally, the unit covers symmetry, challenging students to identify symmetric shapes and count lines of symmetry. Toward the end of the unit, students work on naming shapes based on the number of sides and recognizing polygons, including a detailed examination of specific polygon families like parallelograms. This progression from basic identification to more detailed classification prepares students to understand and analyze a range of geometric properties and relationships.

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This math unit starts with foundational number skills, such as identifying groups of ten and differentiating between tens and ones using base ten blocks. Students learn to visualize numbers and their components, which is crucial for understanding the decimal system. The unit progresses by introducing addition and subtraction on a number line, where students apply their understanding of numbers in visual and operational formats. Skills in identifying even and odd numbers further enhance their number sense. As the unit continues, students transition to converting word forms to numerical values, including the concept of powers of ten, reinforcing their comprehension of place value and numeral representation. The unit then delves into skip counting, where students practice patterns by counting upwards and downwards by single digits and tens. This sequence not only solidifies their understanding of number sequences but also builds a preliminary foundation for multiplication concepts.

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This math unit develops foundational arithmetic skills through a sequence of visually based lessons. It begins with simple counting tasks where students identify and count specific shapes and colors in images, progressing from matching these counts to numerical and written forms. As the unit advances, students further develop their counting skills, utilizing pictures to bridge to numerical representations and then to words, enhancing their ability to recognize and describe quantities. The unit transitions from counting into basic addition and subtraction, starting with addition exercises that strengthen the ability to link visual representations with corresponding numeric values. It then moves into subtraction, initially requiring students to visually determine the number of items remaining after some have been removed. More complex skills are introduced as students progress to constructing and understanding arithmetic equations directly from visual cues. By the end of the unit, students are equipped to translate detailed pictorial scenarios into written mathematical expressions, thereby solidifying their understanding of addition and subtraction through both visualization and symbolic representation.

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This math unit begins by teaching students to understand and perform addition using visual aids, specifically through the use of base 10 blocks. It initially covers simple addition without carryovers in smaller place values and progresses to handling larger numbers and carryovers in higher place values. The unit then introduces subtraction, following a similar progression. Students learn to perform subtraction using visual cues by translating images into equations, both with and without the necessity to borrow. Throughout the unit, learners develop the ability to visualize and solve arithmetic problems in both addition and subtraction, starting from tens and ones and advancing to thousands and hundreds. Students enhance their skills in interpreting visual data to solve equations, increasing their comprehension of place value and the mechanics of carrying and borrowing within the base 10 system.

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This math unit focuses on developing fundamental arithmetic skills, centering on addition and subtraction with integers using varied methods and representations. It starts with basic subtraction of positive integers using number lines, where learners interpret visual information to solidify their understanding of numerical operations. The unit progresses to addition, including identifying missing values and understanding addition sentences using visual aids like number lines and base 10 blocks. The complexity gradually increases from simple single-digit calculations to more intricate two-digit operations involving borrowing and carrying. As the unit advances, it introduces subtraction and addition using base 10 blocks, enhancing the ability to visualize and calculate differences and sums, particularly emphasizing borrowing and carrying over across hundreds, tens, and ones. This culminates in exercises that require students to solve problems represented in visual formats and interpret relationships in fact families. By the end, learners are adept at manipulating and understanding both single and double-digit numbers using a variety of tools and strategies, refining their arithmetic proficiency and readiness for more complex mathematical concepts.

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This math unit facilitates the development of skills in recognizing and predicting visual shape patterns, beginning with simple tasks and advancing to more complex pattern recognition and analysis. Students start by learning to identify the next item in two- and three-item repeating shape patterns, aiding in foundational pattern recognition skills. They then progress to identifying missing items in increasingly complex patterns, as well as applying rules to three-item patterns and identifying missing elements in growing patterns. As the unit advances, students tackle exercises on term value identification, where they must determine what item appears at specific positions in two-, three-, and four-item repeating patterns. The unit culminates with term value calculations for multiple positions within a four-item repeating pattern. These exercises sharpen students' observational skills, logical reasoning, and their ability to analyze and predict systematic arrangements in sequences, thus providing a comprehensive approach to understanding visual patterns in mathematics.

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This math unit begins by developing basic number sense, starting with understanding group numbers and their proximity to the next ten. It progresses into interpreting number line positions, converting word descriptions to numerical equivalents, and skip counting both upwards and downwards. The unit continues to build on these skills by introducing more advanced concepts, such as ordering integers, understanding and calculating place values, and rounding whole numbers to the nearest ten. As students advance through the unit, they engage with the Base 10 block system, translating visual block representations into numerical values for place value recognition. This sequence of skills from basic to more complex prepares students for understanding and manipulating numbers in various forms and contexts, ultimately enhancing their number sense and arithmetic operations.

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This math unit introduces students to the interpretation and analysis of bar graphs, advancing from simple to more complex data representations. Initially, students start by interpreting single-bar graphs to identify minimum values, calculate totals and sums, and determine differences between two categories. The unit progresses towards comparing data points directly to see which is more popular or identifying matched popularity. As students become adept at extracting information from single-bar graphs, the unit transitions to double-bar graphs, which present comparative data sets side by side. With the introduction of double-bar graphs, students focus on reading and comparing specific values across two categories, such as preferences between boys and girls for various sports or pets. They learn to identify the minimum and maximum values within these comparisons, understand categorical distinctions, and perform basic arithmetic operations, like summing and calculating differences between the categories represented. Each worksheet progressively builds upon the previous, enhancing students' abilities to analyze complex data and interpret various types of graphical information, preparing them for advanced data handling and decision-making based on visual data representations.

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This math unit progresses through various skills centered around converting numbers to word equivalents and vice versa, with a focus on number sense and place value. It starts with basic conversions of numbers to words using powers of ten, such as tens and hundreds. As students proceed, they practice these skills with increasing complexity, including thousands and tens of thousands, along with their corresponding word forms. Midway through the unit, the exercises introduce numbers in mixed forms and decimal place values up to tenths, moving towards more detailed representations involving thousands to millionths and tenths in both word and numeral forms. Towards the later sections, students also deal with mixed-level number representations, encompassing a range that includes larger quantities and finer decimal values. This gradual progression solidifies mastery of expressing numbers in various formats, enhancing their fluency with numerical and textual representations across a broad spectrum of values, from simple integers to complex decimal notations.

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This math unit begins with foundational skills in skip counting by single digits, advancing through sequence recognition and pattern completion. It then progresses into introductory multiplication skills starting with visual identification of quantity through pictures, transitioning to the formation of multiplication equations based on visual arrays. Building on these basic multiplicative concepts, the unit moves to more structured mathematical methods including the column multiplication method, stressing both accuracy and understanding of single-digit multiplication. The unit intensifies focus on multiplication as it specifically targets times table practice, enhancing speed and proficiency with different number sets. Towards the end, it incorporates multiplication fact families, exploring the interconnected nature of multiplication and division, to bolster a comprehensive grasp of number relationships. Equipped with repeated practice and gradual elevation in task complexity, this unit is structured to solidify core arithmetic skills and foundational understanding of multiplication, preparing learners for more advanced mathematical operations.

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This math unit begins by teaching students to count and calculate the total value of simple coin sets involving pennies and nickels, progressing to more complex combinations including quarters, dimes, and nickels. Starting with basic addition, learners gradually work through exercises that develop their ability to handle multiple denominations, enhancing their money management and coin recognition skills. As the unit progresses, it incorporates introductory concepts of multiplication, aimed at providing students with quicker calculation methods for larger sets of coins. The unit continues to build on these arithmetic skills, moving towards more comprehensive problems that include piles of different coins, ultimately solidifying students' abilities to perform calculations involving various combinations of pennies, nickels, dimes, and quarters. This systematic approach cultivates a strong foundation in practical mathematics associated with everyday financial literacy.

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This math unit begins by introducing basic division concepts through visual aids and simple numerical operations, starting with dividing integers by common numbers such as 1 and progressing to more specific figures like 4, 6, 9, and 12. Early exercises employ visual models to illustrate division scenarios, easing learners into translating visual data into numerical division equations. The complexity of the division problems gradually increases, incorporating practical divisions by powers of ten and solving for missing values in equations that familiarize students with different facets of division operations. As the unit progresses, it incorporates multiplication as a reciprocal concept to division, using fact families to deepen understanding of the relationship between these operations. Examples extend to include multiplication with tens, enhancing fluency with multi-digit numbers. The unit ultimately advances to long division without remainders and handling larger integers, bolstering foundational skills necessary for more advanced mathematical computations and real-world problem-solving.

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This math unit begins with developing students' basic number sense by ordering integers in ascending order. It then progresses into a deeper exploration of place value, starting with identifying the value of digits in both two-digit and more complex numbers. As students become more familiar with the structure and importance of place positioning, they start to tackle problems that involve missing number concepts, utilizing their skills in basic addition and numeracy. The midpoint of the unit focuses on rounding whole numbers to the nearest ten and expands students' ability to order three integers. From there, the unit shifts towards converting between expanded forms to normal forms of numbers, enhancing understanding not only with whole numbers but also with decimal numbers up to the thousandths place. The concluding sections of the unit integrate skills in converting and comparing decimal and whole numbers, emphasizing precision in understanding decimal placements and expressing numbers in different forms like expanded words. The comprehensive practice solidifies foundational place value concepts and rounding skills essential for proficient numerical manipulation and comparison in real-world contexts.

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This math unit develops students' understanding and estimation skills concerning angles, progressing from basic identification to complex calculations involving geometric figures. Initially, the unit introduces students to the fundamental categories of angles: acute, obtuse, right, and straight. It then focuses on enhancing students' ability to visually identify and classify these angles through various exercises, including multiple choice and true/false formats. As the unit progresses, the focus shifts toward the essential skill of estimating angles. It starts with basic visual estimations in degrees and gradually moves towards more challenging tasks that require students to estimate and identify angles by comparing them to given reference angles or common angle measures. Toward the end of the unit, learners apply their estimation skills along with basic arithmetic operations to solve problems involving complementary angles. They perform calculations to find the remainder of angles that together equal 90 degrees in one scenario and 180 degrees in another, linking their geometric knowledge to practical problem-solving in intersecting, parallel, and perpendicular line contexts.

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This math unit begins with an introduction to the basic concepts of fractions using visual representations, such as identifying slices of pizza. It progresses to more specific fraction skills, including finding equivalent fractions and identifying fractions on a number line. As students become more comfortable with simple fractions, the unit introduces mixed fractions, further enhancing their understanding by using number lines for both simple and mixed fractions. The unit continues to deepen fraction comprehension as students learn to convert between improper fractions and mixed numbers using images to aid their understanding. They also practice converting whole numbers to improper fractions, solidifying their manipulation skills within fraction concepts. The mathematical journey culminates in advanced exercises where students estimate the positions of improper fractions on unmarked number lines, challenging them to apply their fraction knowledge more abstractly and spatially. This comprehensive progression effectively builds from basic to more complex fraction operations, preparing students for real-world mathematical applications.

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This math unit starts with basic geometry, focusing on identifying and classifying angles—acute, obtuse, right, and straight—through various visual and descriptive methods. As the unit progresses, it shifts from angle recognition alone to detailed triangle classification based on angle types. Students learn to categorize triangles as acute, obtuse, or right by visual inspection and definition matching, gradually deepening their understanding of these concepts. The unit then expands to encompass comprehensive triangle classification by including side lengths along with angle types. Students engage with identifying and distinguishing between scalene, isosceles, and equilateral triangles, first through direct illustration-based identification, then progressing to more complex tasks involving matching descriptions to triangle images and vice versa. This detailed approach, extending from simple angle identification to complex triangle classification, equips students with a thorough understanding of geometric properties and relationships within triangles.

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