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 - Understanding Division
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 This unit covers addition and subtraction, fact families, sums and differences, finding missing addends, sums from three addends, and story problems. Unit 2 – Place Value: 3 Digits This unit covers what digits are, place value with 3-digit numbers, their expanded form, and their word form. It also explores number lines, counting order, greater than and less than, odd and even numbers, and counting by tens, fives, and twos. Unit 3 – Place Value: Thousands Period This unit explores place value with 4-digit numbers and the thousands period, their expanded form, and their word form. It also discusses greater than and less than, and using organized lists and charts for logical reasoning. Unit 4 – Rounding Numbers This unit covers rounding to the nearest ten, hundred, thousand, and given place value, rounding 3-digit numbers to the nearest ten, and rounding 4-digit numbers to the nearest hundreds. It also discusses counting by 25s, 50s, 100s and 1000s, using benchmarks, and story problems having to do with rounding. Unit 5 – Addition Skills This unit covers the commutative, identity, and associative properties of addition, using parentheses with addition, doing mental sums with tens, hundreds, and thousands, and estimating sums for ten, hundreds, thousands, different place values, and compatible numbers. Adding compatible numbers and story problems having to do with estimating sums are also presented. Unit 6 – Regrouping with Addition This unit discusses 2-digit addition without regrouping, and 2-digit, 3-digit, and 4-digit addition with regrouping. It also discusses adding three addends with 2-digits, addition with different place values, choosing an addition method, and addition story problems. Unit 7 – Subtraction Skills This unit explores doing mental differences for tens, hundreds, and thousands, estimating differences for tens, hundreds, thousands, and compatible numbers, subtracting compatible numbers, and story problems for estimating differences. Unit 8 – Regrouping with Subtraction This unit discusses 2-digit subtraction without regrouping, and 2-digit, 3-digit, and 4-digit subtraction with regrouping. It also discusses finding differences across zeros, subtraction with different place values, checking subtraction with addition, comparing differences, odd or even sums and differences, giving an exact answer or an estimate, choosing a subtraction method, and addition and subtraction story problems. Unit 9 – Telling Time This unit covers reading a clock -- the hour and half hour, to the nearest five minutes, to the nearest minute, and to the nearest second. It also discusses different ways to say the same time, choosing a.m. or p.m, and elapsed time -- hours and minutes. It covers calculating time passage, naming the months of the year, reading calendars, and time zones. Unit 10 – Money This unit explains counting pennies, nickles, dimes, quarters, half dollars, bills, and coins, and presents story problems about counting money. It also discusses and presents story problems about adding and subtracting money, and covers comparing money amounts, calculating and counting change, and patterns in counting to the number 100. Unit 11 – Data, Graphs, and Probability This unit discusses using tally and frequency tables for surveys, as well as pictographs, bar, line and circle graphs, line plots, mode and range, ordered pairs, probability of events, predicting outcomes, and fair and unfair games. Unit 12 – Multiplication Basic Facts This unit explains multiplication and delves into multiplying by the numbers 0 through 11. Unit 13 – Multiplication Skills This unit covers problem solving with tables, multiplication story problems, finding missing factors, multiplying with three factors, properties of multiplication, multiple-step story problems, and calculator multiplication. Unit 14 – Division Basic Facts This unit explains division and multiplication, and delves into greater detail about dividing by the numbers 1 through 5 and 10. It continues with division rules for zero, and multiplication and division fact families. Unit 15 – Division Skills This unit presents division story problems, story problems requiring the student to choose the operation, and story problems that require the student to work backward. In addition, it discusses equations and expressions, finding the missing operation, order of operations, and calculator division. Unit 16 – Geometry This unit covers lines and angles, describing lines and angles, identifying polygons and solid figures, classifying triangles by angles, and classifying quadrilaterals. It also discusses circles, congruent figures, finding lines of symmetry, and relating objects to solid figures. Unit 17 – Fractions This unit explores fractions as part of a whole and as part of a group, finding fractions of amounts, understanding equivalent fractions, and comparing fractions. It also covers understanding mixed numbers, adding and subtracting like fractions, and doing story problems about fractions. Unit 18 – Decimals This unit describes tenths and hundredths as decimals, decimals with whole-number parts and their word forms, comparing decimals, decimals and fractions with money, and adding and subtracting decimals. Unit 19 – Customary Units of Measurement This unit discusses length, weight, and temperature in customary units, and measuring to the nearest half inch. It also covers estimating length in inches, feet, yards, and miles, as well as comparing lengths, finding perimeters, and measuring and comparing capacity. Unit 20 – Metric Units of Measurement This unit discusses length, area, volume, capacity, mass, and temperature in metric units. Unit 21 – Regrouping with Multiplication This unit covers multiplying by tens and hundreds, estimating products, and regrouping and story problems for multiplying 2- and 3-digit numbers. Unit 22 – Regrouping with Division This unit covers dividing multiples of 10, 100, and 1,000, estimating quotients, and regrouping and story problems for dividing 2-digit numbers. It also discusses models for dividing, sharing evenly, checking division with multiplication, and story problems for tricky remainders.
This course was developed by the International Academy of Science. Learn More