Grade 3 Math

Grade 3 Math

Course Features

Course Details


Course Overview

Acellus Grade 3 Math builds the number sense and computational fluency that anchor all later mathematics. Students begin by representing, comparing, and ordering numbers up to 100,000, then develop rounding and estimation strategies and achieve fluency with multi-digit addition and subtraction. From there, the course introduces multiplication and division through equal groups, arrays, number lines, and fact families, with dedicated math fact practice woven throughout the year so that facts through 12 become fast and automatic. The second half of the course applies these skills across the full range of third-grade mathematics. Students connect multiplication to area, represent and compare fractions using models and number lines, and solve two-step problems with equations. They calculate perimeter, measure time, volume, mass, length, and temperature, display and interpret data in graphs and line plots, classify two- and three-dimensional shapes, and make informed decisions about earning, saving, spending, and borrowing money. Throughout the course, visual models such as strip diagrams, arrays, and number lines make concepts concrete, and word problems connect every skill to real-world situations. By the end of this course, students will be able to solve real-world problems involving place value, addition, subtraction, multiplication, division, fractions, area, perimeter, measurement, data, geometry, and financial literacy with accuracy and reasoning.

Sample Lesson - Introduction

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Scope and Sequence

Unit 1 – Place Value Students represent, compare, and order numbers up to 100,000 using place value strategies. Beginning with a review of hundreds, tens, and ones, they compare three-digit numbers with symbols, round on the number line, evaluate the value of digits in larger numbers, and decompose numbers using expanded form, word form, and base-ten models.

Unit 2 – Rounding and Estimation This unit develops rounding and estimation as tools for working with numbers up to 100,000. Students round to the nearest ten, hundred, thousand, and ten thousand, and apply rounding to estimate sums and differences, building the judgment to know when an estimate is useful and reasonable.

Unit 3 – Addition and Subtraction Students build fluency adding and subtracting four-digit numbers. They apply the commutative and associative properties, use mental math and partial sums, and add and subtract within 1,000 with and without regrouping. Word problems throughout the unit connect computation to real situations.

Unit 4 – Multiplication and Division Fundamentals This unit introduces multiplication and division through equal groups, arrays, skip counting, and the number line. Students learn to relate multiplication and division as inverse operations, master facts for 2, 5, and 10, and use drawings and strip diagrams to represent and solve problems.

Unit 5 – Patterns and Tables Students identify and extend numerical patterns using addition and multiplication. They explore multiplying by 0 and 1, even and odd numbers, and patterns in the multiplication table, master facts for 3 and 4, and use input-output tables to organize and solve problems.

Unit 6 – Connecting Area and Multiplication This unit links multiplication to geometry through area. Students learn the distributive property, decompose arrays, measure area with unit squares, and multiply to find the area of rectangles and composite figures, while mastering facts for 6, 8, and 9. Word problems apply area concepts to real contexts.

Unit 7 – Fractions Students build a foundational understanding of fractions as parts of a whole and parts of a set. They create unit fractions, place fractions on number lines, express whole numbers as fractions, and explore fractions greater than one, while continuing multiplication fact practice with 7.

Unit 8 – Fraction Equivalence and Comparison This unit extends fraction understanding to equivalence and comparison. Students generate equivalent fractions with models and number lines, compare fractions with the same numerator or denominator using symbols, reason about fractions of different wholes, and order fractions to solve problems.

Unit 9 – Equations and Two-Step Problems Students solve and verify two-step problems using equations. They find unknowns in multiplication and division, evaluate true and false equations, multiply by multiples of 10, apply the associative property, choose the correct operation, and check the reasonableness of their answers.

Unit 10 – Perimeter This unit develops perimeter as a measurable attribute of polygons. Students calculate perimeter, solve for unknown side lengths, and distinguish perimeter from area by exploring shapes with the same perimeter but different areas and vice versa, including composite shapes.

Unit 11 – Measurement and Data, Part 1 Students measure and solve problems involving time, liquid volume, and mass. They tell time to the nearest minute, calculate elapsed time using multiple strategies, and estimate and measure volume and mass in appropriate units, applying these skills in word problems.

Unit 12 – Measurement and Data, Part 2 This unit covers length, temperature, and data. Students create and interpret picture graphs, bar graphs, and line plots, measure length in inches with precision, read temperature, and solve one- and two-step problems using measurement and graphed data.

Unit 13 – Geometry: 2D and 3D Shapes Students classify polygons, quadrilaterals, and three-dimensional solids by their attributes. They identify points, segments, rays, and lines, find lines of symmetry, partition shapes into equal areas as a fractions connection, and describe solids by faces, edges, and vertices.

Unit 14 – Personal Finance This unit builds financial literacy for everyday life. Students count money and explore earning, saving, and spending, distinguish needs from wants, examine how scarcity affects cost, and learn the responsibilities that come with borrowing money.

Unit 15 – Extended Multiplication The final unit extends multiplication beyond the basic facts. Students master facts for 11 and 12, multiply by multiples of 100, and use partial products and the distributive property to multiply two-digit numbers with and without regrouping.

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