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Base Ten Blocks

Base ten blocks are visual tools that help students understand place value and arithmetic operations. Key skills include recognizing units, rods, flats, and cubes, representing numbers, and performing addition and subtraction with regrouping. Mastery of base ten blocks builds a strong foundation for understanding the decimal system, essential for more advanced math topics such as multiplication, division, and decimal operations.

Base Ten Blocks - Counting Intro

Unit 1 (3 Skills)

This math unit revolves around using Base 10 blocks to understand and reinforce counting and place value concepts, specifically focusing on tens, hundreds, and ones. Initially, students practice with tens and ones, interpreting pictorial representations of blocks into numerical values, and progressively enhance their ability to visually and numerically translate these representations. The exercises challenge students to count blocks and determine quantities in different formats, moving from pictures to numbers and words. As the unit progresses, the focus shifts from just tens and ones to include hundreds. Exercises evolve to require students to analyze and compute block quantities representing higher number ranges—up to hundreds—and convert them into both numerical and word formats. This gradual progression from simpler to more complex number structures helps to solidify the students' understanding of the decimal system, improving their number sense and ability to calculate and express quantities effectively. Through continuous practice, students build a strong foundation in recognizing and understanding the composition and structure of numbers within the base ten system.

Skills you will learn include:

Base Ten Blocks - Counting Practice

Unit 2 (3 Skills)

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 - Comparing Intro

Unit 3 (5 Skills)

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 - Addition Intro

Unit 4 (5 Skills)

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 - Subtraction Intro

Unit 5 (5 Skills)

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 - Addition and Subtraction

Unit 6 (5 Skills)

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: