Grade 3 Math
This Grade 3 Math course focuses on multiplication and division up to the number 100, fractions, the structure of rectangular arrays and area, and two-dimensional shapes.
Sample Lesson - Round to the Nearest Ten
Course Objectives & Student Learning OutcomesUpon completion of Acellus Grade 3 Math, students will be able to add and subtract fact families; find missing addends; add 3-digit numbers; solve word problems; identify digits and place values of 3-digit and 4-digit numbers to include their expanded form and rounding; use number lines; identify greater than and less than as well as odd and even numbers; count by twos, fives, tens, 25s, 50s, 100s, and 1,000s; add using commutative, identify and associative properties; mentally sum and estimate; add and subtract 2-digit numbers without regrouping; group and add and subtract 2-digit, 3-digit, and 4-digit numbers; check subtraction with addition; and choose a subtraction method. Students will also be able to read a clock to the nearest hour, half hour, five minutes, minute, second; say the time different ways; choose a.m. or p.m.; calculate time passage; name months and time zones; read calendars; count money and make change to include word problems; use ordered pairs, tally and frequency tables, pictographs, bar graphs, line graphs, circle graphs, and line plots; calculate mode and range, event probability; predict outcomes to include determining game fairness; use multiplication properties to multiply 0 – 11; solve problems with tables; solve multiplication word problems; find missing factors; multiply 3 factors; multiply with calculator; use division properties to divide by 1 – 10; solve division word problems; find missing operation; and divide with calculator. Students will also be able to identify lines, angles, polygons, and solid figures; classify triangles and quadrilaterals; identify congruency and lines of symmetry; relate objects to solid figures; convert parts of a whole or part of a group to fractions; find fractions of amounts; find equivalent fractions; compare fractions; identify mixed numbers; add and subtract like fractions to include word problems; identify tenths and hundredths as decimals with our without whole number parts; compare decimals; convert decimals and fractions; add and subtract decimals; measure using U.S. and metric systems; divide multiples of 10, 100, and 1,000 and estimate quotients; regroup for dividing 2-digits; check division with multiplication; and solve word problems with remainders.
Scope and SequenceUnit 1 - Addition and Subtraction Basic Facts In this unit students come to understand subtraction and learn about sums of two, addition and subtraction fact families, sums and differences, and finding missing addends. They also discuss sums from three addends, and addition and subtraction story problems. Unit 2 - Multiplication and Division - Part 1 Students study multiplication, sums of three, and division. They learn math fact families and practice them. Unit 3 - Place Value and Counting In this unit students explore place value, digits, sums of four, and place value with three-digit numbers. They also study expanded forms of numbers, odd and even numbers, and counting by tens, fives, twos, 25's, 50's, 100's, and 1000's, as well as place value with four digits, sums of five, and using benchmarks. Unit 4 - Multiplication and Division - Part 2 In this unit students deepen their understanding of multiplication. They learn about doubling and about multiplying by two. They extend their understanding of division and learn about two equal groups, tripling, and three equal groups. They practice math fact families and learn about sums of six. Unit 5 - Comparing Numbers and Rounding Numbers Students discover number lines, counting order, greater than, less than, and equal to. They expand their understanding of comparing numbers, and study rounding to the nearest ten and hundred. They learn sums of seven, learn to round three-digit numbers to the nearest ten, and learn about 'how many.' Unit 6 - Multiplication and Division - Part 3 In this unit students learn and practice more math fact families. They learn to multiply by one and zero, to divide by one and by two, sums of eight, division rules for zero, and multiplication and division stories. Unit 7 - Estimating Sums and Differences In this unit students explore estimation, including estimating sums and differences with tens and hundreds. They also practice estimating sums and differences in story problems. Unit 8 - Multiplication and Division - Part 4 In this unit students learn about multiplying by five and by ten, sets of ten, dividing by five and by ten, equal groups of five, and sums of ten. They learn clues to recognize division problems with an answer of five, and they practice story problems for sharing equally. Unit 9 - Addition Skills This unit focuses on helping students gain additional understanding of addition. They study the commutative property of addition, parentheses with addition, and the associative property of addition. They also learn about two-digit addition without regrouping, two-digit addition with regrouping, and how to choose a method for addition. Unit 10 - Multiplication and Division - Part 5 In this unit, students learn about multiplication properties, including the commutative property and the associative property. They also review sums of 11, practice math facts, and learn more math fact families. Unit 11 - Regrouping with Addition In this unit students investigate addition with regrouping. They practice math facts and study three-digit addition with regrouping. They learn sums of 12, and do addition story problems. Unit 12 - Regrouping with Subtraction In this unit students practice math facts and learn about two-digit subtraction without and with regrouping, and learn more math fact families. Unit 13 - Working with Addition and Subtraction Students practice sums of 13 and subtraction story problems. They learn to check subtraction with addition and do addition and subtraction story problems. They also learn to choose a method for subtraction. Following this unit, students are presented with the Mid-term Review and Exam. Unit 14 - Multiplication and Division - Part 6 Students practice more math facts and multiplication story problems. They learn the distributive property with multiplication and learn more math fact families. They learn to do problems with unknown factors, to multiply by nine, and to do sums of 14. Unit 15 - More Regrouping with Subtraction In this unit students learn three-digit subtraction with regrouping and subtracting with zeros. They also practice more math facts. Unit 16 - Fractions Students explore fractions. They learn about unit fractions, counting by unit fractions, fractions with a number line, and whole numbers as fractions. They also learn about sums of 15. Unit 17 - Multiplication and Division - Part 7 In this unit students learn more math fact families and practice math facts. They also do story problems to practice choosing operations, and learn about calculator multiplication and sums of 16. Unit 18 - More Fractions Students gain understanding of equivalent fractions, as well as equivalent fractions with number lines and with models. They learn about the concept of more, comparing fractions, fractions with matching numerators, fractions with matching denominators, and fraction story problems. Unit 19 - Measurement and Geometry In this unit students learn about units of measurement, including centimeters, meters, and kilometers, as well as inches, feet, yards and miles. They practice math facts, learn about length, sums of 17, and measuring to the nearst half inch and fourth inch. They also learn about polygons and classifying polygons, as well as triangles, quadrilaterals, and fractional parts of shapes. Unit 20 - Multiplication and Division - Part 8 Students learn more math fact families, as well as learning about equal shares and sharing equally. They practice division story problems, sums of 18, and calculator division. Unit 21 - Telling Time and Money In this unit students explore clocks and reading the hour and the half hour. They learn units of time and learn to read to the nearest five minutes and to the nearest minute. They come to understand a.m. and p.m., adding and subtracting minutes, and measuring time in minutes. They learn the names of the months and learn to read calendars. Students also investigate coins, and counting pennies, nickels, and dimes, as well as counting bills and coins. They learn to compare money amounts, and they celebrate the number 100. Unit 22 - Data and Graphs Students learn about tally and frequency tables, pictographs, creating pictographs, and pictograph story problems. They also study bar graphs, making bar graphs, and bar graph story problems, as well as line plots, making line plots, and line plots with fraction measurements. Unit 23 - Area In this unit students study area. They learn about square units and the area of squares and rectangles, multiplying to find area, and area story problems. They explore area and the distributive property, area and irregular shapes, and more area story problems. Unit 24 - Perimeter In this unit students investigate perimeter. They learn about the perimeter of squares and rectangles, the perimeter of unusual shapes, and the perimeter of regular polygons. They practice math facts, learn about finding the missing side length, consider area and perimeter, and practice perimeter story problems. Unit 25 - Liquid Volume and Mass Students learn about liters, measuring liters, adding and subtracting with liters, and multiplying and dividing with liters. They also learn about mass in grams and kilograms, metric capacity and mass, and measuring mass, and they do mass story problems. Unit 26 - Multiplication and Division Skills This unit covers problem solving with tables, patterns, equations and expressions, finding the missing operation, and order of operations. Students also practice multiplying mentally by tens, and multiplying by tens, as well as multiple-step story problems. Unit 27 - Working with Unknowns In this unit students explore how to find missing factors, and how to find the unknown. Students are presented with the Final Review and exam.
This course was developed by the International Academy of Science. Learn More