Grade 2 Math
Course Features
Course Details
Course Overview
Acellus Grade 2 Math provides a comprehensive, hands-on foundation in second-grade mathematics, guiding students from basic arithmetic fluency through place value, multi-digit operations, measurement, time, money, data analysis, geometry, and introductory fractions. Lessons emphasize visual models, manipulatives such as base-ten blocks and number lines, mental-math strategies, fact families, strip diagrams, and real-world word problems to build number sense, problem-solving confidence, and mathematical reasoning. By the end of the course, students will confidently add and subtract within 1,000 (with and without regrouping), tell time to the nearest minute, handle money up to $10, interpret graphs, identify 2D and 3D shapes and their attributes, calculate simple area, and understand basic fractions—all while developing the skills needed for success in third grade.
Sample Lesson - Introduction
This course was developed by the International Academy of Science.
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Scope and Sequence
Unit 1: Arithmetic Basics Students review and strengthen core addition and subtraction skills within 20. Lessons progress from adding and subtracting within 10 using counters and number lines, to doubles and near-doubles facts, the making-ten strategy, addition of three numbers, and fact families that connect addition and subtraction. Students learn to solve for missing numbers, use strip diagrams as visual models, practice timed fluency, and apply their knowledge to simple addition and subtraction word problems, all while understanding the value of memorizing math facts for speed and accuracy.
Unit 2: Place Value to 100 Students build deep understanding of two-digit numbers through place value. They practice counting to 100 by ones, twos, fives, and tens; represent numbers with base-ten blocks; read and write numbers in standard and word form; compose and decompose numbers into tens and ones; compare and order two-digit numbers using >, <, and =; and maintain addition and subtraction fact fluency through timed practice, laying a solid foundation for all future operations.
Unit 3: Counting and Patterns Students extend number sense through skip-counting, number lines, and early multiplication concepts. Lessons cover place-value review, skip-counting patterns by 5s, 10s, and 100s to 1,000, ordering and comparing numbers on number lines up to 1,000, counting beyond 100, identifying even and odd numbers, and working with equal groups and arrays. Students learn to write addition equations for arrays, count rows and columns, and solve array-based word problems, introducing the idea of repeated addition as a precursor to multiplication.
Unit 4: Two-Digit Addition Students master adding two-digit numbers, progressing from no-regrouping problems to those requiring carrying. Using base-ten blocks, they explore trading 10 ones for 1 ten, practice stacking problems correctly, add tens mentally, decompose numbers, add three or four two-digit numbers, and apply strategies to word problems within 100. Mental-math techniques and extra practice with manipulatives ensure students understand why and when regrouping occurs.
Unit 5: Two-Digit Subtraction Students learn to subtract two-digit numbers, starting without borrowing and advancing to problems that require regrouping. Lessons emphasize base-ten block models, proper stacking and alignment, mental subtraction of tens, decomposing numbers, and solving mixed addition/subtraction word problems within 100. Fact-family connections and visual supports help students develop fluency and confidence with borrowing.
Unit 6: Place Value to 1,000 Students extend place-value understanding to three-digit numbers. They use base-ten blocks to build, compose, and decompose hundreds, tens, and ones; write numbers in expanded form; read and write three-digit numbers in standard, word, and expanded forms; compare numbers using >, <, and =; and generate numbers greater or less than a given value up to 1,200, preparing for three-digit operations.
Unit 7: Measurement Students explore length measurement using both nonstandard and standard units. They measure and estimate in inches, feet, yards, centimeters, and meters; compare lengths; add and subtract measurements in the same unit; choose appropriate tools (rulers, yardsticks, meter sticks); measure the same object with different units; and solve real-world word problems involving length, developing estimation and comparison skills.
Unit 8: Time Students become proficient at reading analog clocks and understanding time concepts. Lessons cover identifying clock parts, telling time to the hour, half hour, five minutes, and nearest minute; distinguishing AM and PM; and calculating elapsed time in whole hours. Integrated reviews of two-digit addition and subtraction keep operational skills sharp throughout the unit.
Unit 9: Money Students learn to recognize, count, and combine U.S. coins and bills. They count pennies, nickels, dimes, quarters, and mixed coins up to $1.00; count dollar bills ($1, $5, $10); add and subtract money amounts; solve money word problems; and explore personal-finance concepts such as saving versus spending, borrowing versus lending, and the roles of producers and consumers. A final mixed review ties together length, time, and money skills.
Unit 10: Three-Digit Operations Students apply regrouping strategies to larger numbers. They add and subtract three-digit numbers with and without carrying/borrowing, practice mental addition and subtraction of 100, solve word problems within 1,000, and reinforce regrouping through games and visual models. Lessons build fluency and accuracy with three-digit computation.
Unit 11: Two-Step Problem Solving Students develop advanced problem-solving and estimation skills. They round to the nearest ten and hundred, estimate sums and differences, use strip diagrams, choose the correct operation, solve two-step word problems within 100 and 1,000, and even create their own word problems from number sentences. Reviews of three-digit addition and subtraction solidify all prior operational skills.
Unit 12: Data and Graphs Students learn to collect, organize, and interpret data. They create and read tally charts, picture graphs, bar graphs (single-unit scale), and line plots; solve problems using data from each type of graph; compare quantities across graphs; and complete a comprehensive review that prepares them to gather their own data and construct accurate graphs.
Unit 13: Geometry Students explore two- and three-dimensional shapes and their attributes. Lessons introduce basic shapes, triangles, quadrilaterals, pentagons, hexagons, cubes, rectangular prisms, cylinders, and cones; counting sides, angles, faces, edges, and vertices; drawing shapes with given attributes; identifying real-world examples; and finding area by counting unit squares. Word problems reinforce spatial reasoning and shape recognition.
Unit 14: Fractions Students are introduced to fractions as equal parts of a whole. They identify and describe halves, thirds, and fourths in shapes; decompose shapes into equal shares; compare fractions using visual models; and recognize different fractional representations. Integrated reviews of addition and subtraction within 1,000, arrays, fact families, and geometry help consolidate the entire year’s learning and prepare students for third-grade mathematics.
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