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
This course was developed by the International Academy of Science.
Scope and Sequence
Unit 1 – Addition and Subtraction Basic Facts
This unit covers addition and subtraction, fact families, sums and differences, finding missing addendes, 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, 2-digit addends, addition with different place values, using the guess and check method, 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. Also included are 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 by the numbers 1 through 10, 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, measuring to the nearest half inch, comparing, finding perimeters, 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, regrouping and story problems for dividing 2-digit numbers, checking division with multiplication, and story problems for tricky remainders.