Addition and Subtraction

This math unit begins by introducing students to basic counting skills through the association of numbers with visual elements like blue circles and white squares. Initially, students learn to count objects in pictures and identify the correct numerical value from multiple-choice options, laying a foundational understanding of number recognition. As the unit progresses, it incorporates the matching of numbers to corresponding word labels and vice versa, strengthening the connection between numeric and written forms of numbers. The unit advances to more complex tasks involving the translation of visual information into numerical or equation-based answers. Students develop the ability to perform simple addition by counting objects in images and then selecting or constructing appropriate numerical expressions or equations that represent the total. Each topic builds on the previous by gradually introducing more complex tasks that require understanding both the quantity and computational aspects of numbers, culminating in the ability to form and solve basic addition equations from pictorial representations. This systematic approach enhances visual learning, arithmetic skills, and the comprehension of mathematical concepts through engaging and interactive practices.Skills you will learn include:

• Numbers as abstract concepts
• Counting shapes
• Numbers as words
• Words as numbers
• Counting to 10
• Basic addition

This math unit begins by familiarizing students with U.S. coins through visual recognition. Initially, students learn to identify coins by matching images to their names and vice versa. They then progress to understanding the value of individual coins, which sets a foundation for more complex arithmetic skills. As the unit advances, students engage in counting the total value of single types of coins, such as pennies, nickels, dimes, and quarters, enhancing their ability to perform simple additions and understand monetary values. Further complexity is added as students learn to calculate the combined total values of varied coin combinations. They start with simpler sets, like pennies and nickels, gradually moving to combinations involving three or more different types of coins. This progression not only reinforces coin recognition and basic arithmetic but also introduces elements of financial literacy at an introductory level. This sequential approach develops concrete skills in handling and calculating money, essential for everyday financial understanding and mathematics. By the end of the unit, students can confidently compute total values from diverse coin sets, demonstrating a solid foundation in both coin arithmetic and practical money management skills.Skills you will learn include:

• Values of coins
• Pennies, Nickels, Dimes, Quarters
• Addition of values up to 25
• Working with 5s, 10s, 25s

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.Skills you will learn include:

• Numbers as abstract concepts
• Counting shapes
• Numbers as words
• Words as numbers
• Counting to 10
• Removing from a group
• Basic subtraction

This math unit begins with understanding basic addition of positive integers using number lines to visually match equations with their graphical representations. It progresses to more traditional methods, like the column method for adding single-digit whole numbers, reinforcing arithmetic through practice and multiple-choice questioning. The unit also covers subtraction, initially focusing on identifying missing values in equations and later, subtracting with the aid of number lines to connect visual movement to numeric equations. Additionally, the unit delves into adding numbers in groups without carrying to enhance basic addition and counting skills within specified numerical limits, using visual aids like shapes to represent quantities. Further complexity is introduced with fact families, where students work on identifying and building relationships between addition and subtraction of one and two-digit integers. These involve analyzing diagrams and symbolic representations to recognize valid equations within given families, fostering a deeper understanding of numerical relationships and systematic operations in arithmetic. This progression from simple addition to understanding interconnected numerical operations prepares students effectively in foundational arithmetic skills, improving both their calculation abilities and number sense.Skills you will learn include:

• Basic addition and subtraction
• Carrying to tens
• Borrowing from tens

This math unit focuses on developing students' understanding of the decimal system and place value using base 10 blocks. Initially, the unit helps students recognize and count base 10 block representations of hundreds and tens, translating these into numerical values. Progressively, it introduces counting and identifying the ones place value, enhancing number sense and comprehension of how numbers are structured in the base ten system. As the unit advances, it incorporates thousands into exercises, further challenging students to visualize and quantify larger numbers. This progression leads to exercises that require translating the visual representations of base 10 blocks into both numeric and word formats across various place values (thousands, hundreds, tens, and ones). This comprehensive practice not only reinforces numerical literacy and place value understanding but also improves students' ability to express numbers in written form, crucial for building foundational math skills in young learners.Skills you will learn include:

• Base ten blocks
• Ones, tens, hundreds, thousands
• Place value

This math unit guides students through progressively complex skills in comparing numerical quantities using engaging visuals and practical symbols. Initially, children learn to compare quantities using a playful "alligator" metaphor to visually grasp "less than" and "greater than" concepts. They start with simple object comparisons and advance to using the alligator metaphor with numerical values, learning to associate the direction the alligator faces with the larger number. Next, the unit transitions from comparing individual numbers to using groups of tens and base ten blocks. This shift amplifies their understanding of number magnitude by embedding place value concepts in the comparison activities. The progression includes interpreting singular and compound numbers within ten and tens groups, using blocks to visually support their learning. Ending the unit, students are proficient in visually analyzing quantities using base ten blocks, discerning greater, lesser, or equal values using both the alligator metaphor and symbolic representations (<, >, =), crucial for foundational mathematics education.Skills you will learn include:

• Counting
• Groups of ten
• Place value
• Less than, greater than, equals
• Larger, smaller

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.Skills you will learn include:

• Base ten blocks
• Ones, tens, hundreds, thousands
• Place value
• Less than, greater than, equals
• More vs less

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.Skills you will learn include:

• Addition
• Groups of ten
• Carrying a ten
• Place value

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.Skills you will learn include:

• Base ten blocks
• Ones, tens, hundreds, thousands
• Place value
• Addition by places
• Carrying

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.Skills you will learn include:

• Values of coins
• Pennies, Nickels, Dimes, Quarters
• Addition of values up to 25
• Working with 5s, 10s, 25s

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.Skills you will learn include:

• Subtraction
• Groups of ten
• Borrowing a ten
• Place value

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.Skills you will learn include:

• Values of coins
• Pennies, Nickels, Dimes, Quarters
• Less than, greater than, equals
• Comparing values of groups of coins

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.Skills you will learn include:

• Base ten blocks
• Ones, tens, hundreds, thousands
• Place value
• Subtraction by places
• Borrowing

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.Skills you will learn include:

• Counting shapes
• Numbers as words
• Words as numbers
• Counting to 10
• Basic addition
• Basic subtraction

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.Skills you will learn include:

• Base ten blocks
• Ones, tens, hundreds, thousands
• Place value
• Addition and subtraction by places
• Borrowing and carrying

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.Skills you will learn include:

• Addition and subtraction up to 100
• Carrying to tens
• Borrowing from tens

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.Skills you will learn include:

• Values of coins
• Multiplication as repeat addition
• Working with 5s, 10s, 25s

This math unit focuses on coin arithmetic skills, progressing from simple to more complex tasks involving various U.S. coin denominations. Initially, students learn to calculate the total value of single-type coin piles, starting with nickels and gradually incorporating pennies and nickels. The exercises then advance to combinations including nickels, dimes, and by the end include quarters, challenging students with a broader range of coin types. Each section builds on the previous one by increasing the complexity of the coin combinations and introducing the concept of adding multiple coin types, reinforcing both counting and basic multiplication skills. The unit teaches students to recognize different coin values and apply arithmetic operations, such as addition and multiplication, encouraging practical applications and enhancing fluency in handling real-world currency scenarios. Through continuous practice, students develop proficiency in identifying coin values, computing total monetary amounts, and understanding basic money management.Skills you will learn include:

• Values of coins
• Multiplication as repeat addition
• Working with 5s, 10s, 25s

This math unit progresses from basic addition and subtraction concepts using visual aids and small numbers to tackling more complex arithmetic operations involving larger integers. Students begin by learning to add and subtract without carrying or borrowing using base 10 blocks, including concepts of tens and ones and progressing to hundreds and thousands. They then move to adding two-digit numbers to one-digit numbers and vice versa, enhancing their skills in basic arithmetic operations and integer understanding. Subsequently, the focus shifts to include missing value problems and column addition methods, allowing students to practice the addition of three whole numbers and solving equations with unknowns. The unit advances to include larger problems involving the addition and subtraction of three-digit numbers both in and out of columns, providing further practice in aligning and calculating larger integer values. Overall, this unit thoroughly enhances students' conceptual grasp and computational skills from foundational single-digit operations to more complex multi-digit arithmetic.Skills you will learn include:

• Addition and subtraction up to 1000
• Carrying to tens, hundreds
• Borrowing from tens, hundreds