Scope & Sequence of Lessons & Activities Third Grade by lesson number # Lesson Concept PLACE VALUE AND COUNTING 1 12 43 100 150 Place value Tens and ones place Hundreds places Thousands place Expanded notation for numbers less than 10,000 Numbers less than a million Recognizing number words 3 9 27 49 79 Recognizing the ordinal numbers Recognizing numbers less than 100 Recognizing numbers less than 1000 with zeros Recognizing numbers less than 10,000 with hundreds place > zero Recognizing any number less than 10,000 Series and Patterns 2 6 37 48 97 113 155 Recognizing a sequence counting by 1, 2, 5 and 10 Filling in missing numbers when counting by 1, 2, 5 and 10 Recognizing a sequence counting by 3, 4, and 10 Filling in missing numbers when counting by 3, 4, and 10 Recognizing a sequence counting by 5 and 6 Filling in missing numbers when counting by 5 and 6 Filling in missing numbers when the differences form a pattern Putting things in order 4 13 38 53 104 Putting 3 two-digit numbers in order from least to greatest Putting 4 two-digit numbers in order from least to greatest Putting 3 three-digit numbers in order from least to greatest Putting 4 two or three-digit numbers in order from greatest to least Putting 3 four-digit numbers in order ADDITION OF WHOLE NUMBERS Addition facts 1 6 13 45 1 7 8 12 14 19 29 34 41 43 67 Sums up to 10 Sums up to 13 Sums up to 18 Recognizing addition and subtraction fact families Addition of one or two-digit numbers, without regrouping Addition of 2 two-digit numbers, regrouping to sums of 10 Addition of 3 two-digit numbers, horizontally Addition of 2 or 3 three-digit numbers, horizontally or vertically, without regrouping Addition of two-digit numbers, with regrouping sums to 13 Addition of two-digit numbers, with regrouping sums to 18 Addition of three-digit numbers, with regrouping sums to 10s Addition of three-digit numbers, with regrouping sums to 10s or 100s Addition of three-digit numbers, with regrouping twice Addition of four-digit numbers Addition with grouping sums >19 and <30 www.excelmath.com i.23 ©2007 AnsMar Publishers, Inc. Scope & Sequence of Lessons & Activities by lesson number Third Grade # Lesson Concept SUBTRACTION OF WHOLE NUMBERS Subtraction facts 1 17 24 Learning the subtraction facts up through ten Learning the subtraction facts up to 13 Learning the subtraction facts up to 18 Multiple Digit Numbers 1 12 23 42 42 43 47 52 64 136 Subtracting two-digit numbers, no regrouping Subtracting three-digit numbers, no regrouping Subtracting two-digit numbers, regrouping to 13 Subtracting three-digit numbers, regrouping only with tens and no zero in the tens Subtracting two-digit numbers, regrouping to 18 Subtracting four-digit numbers, regrouping only with tens Subtracting three or four-digit numbers, regrouping with tens or hundred Subtracting three or four-digit numbers, regrouping twice Subtracting three or four-digit numbers, regrouping twice with 0 or 1 in tens or hundreds place Subtracting four-digit numbers, regrouping three times MULTIPLICATION OF WHOLE NUMBERS Multiplication facts 39 46 53 68 97 113 131 Learning the multiplication facts with 0, 1 or 2 as a factor Learning the multiplication facts with products to 20 and 5 as a factor Learning the multiplication facts with 10, 11 and 12 as factors Learning the multiplication facts with products up to 30 Learning the multiplication facts with products up to 40 Learning the multiplication facts with products up to 50 Learning the multiplication facts with products up to 81 Multiple Digit Numbers 61 73 91 131 Multiplying with one-digit multiplier and two-digit multiplicand, without regrouping Multiplying with one-digit multiplier and two-digit multiplicand, regrouping Multiplying with one-digit multiplier and three-digit multiplicand, without regrouping or regrouping once Multiplying with one-digit multiplier and three-digit multiplicand, regrouping twice 71 Learning multiplication and division fact families 117 Learning multiples www.excelmath.com i.24 ©2007 AnsMar Publishers, Inc. Scope & Sequence of Lessons & Activities Third Grade # Lesson Concept by lesson number # Activity Concept DIVISION OF WHOLE NUMBERS Division facts 58 59 71 94 96 111 117 142 151 Learning dividends to 10 Learning dividends to 14 Learning dividends to 20 Learning dividends to 10 with a remainder Learning dividends less than 50 with a factor of 5 Learning dividends to 20 with a remainder Learning dividends to 30 and multiples of 10, 11 and 12 Learning dividends less than 50 Learning dividends to 81 Factors 143 144 Learning factors Learning prime factors Two or three-digit dividend; one-digit divisor 101 132 Two-digit dividend, two-digit quotient, no remainder or regrouping Three-digit dividend, two-digit quotient, no remainder or regrouping Two-digit dividend; two-digit divisor 118 153 Dividend less than 50, one-digit quotient, no remainder or regrouping Dividend less than 100, one-digit quotient, no remainder or regrouping FRACTIONS 31 54 66 66 82 109 137 140 147 148 149 One-half of a number less than 20 Fractions modeled with shading or groups of figures Defining numerator and denominator Select the fraction that matches a given model Fractions in word problems The whole is the sum of its parts Fractions in word problems with the word “not” Addition and subtraction of fractions with models and filling in missing numbers Comparing fractions Equivalent fractions using shaded models Equivalent fractions using money MONEY Coins 16 16 44 82 146 Recognizing coins - quarter, dime, nickel and penny Change equivalents for pennies, nickels and dimes Change equivalents for a dollar with pennies, nickels and dimes Change equivalents for a dollar with quarters and half dollars Calculating change with the fewest coins Addition, Subtraction, Multiplication and Division 33 Add dollar amounts, no regrouping 33 Subtract dollar amounts, no regrouping www.excelmath.com i.25 ©2007 AnsMar Publishers, Inc. Scope & Sequence of Lessons & Activities by lesson number Third Grade # Lesson Concept 95 Multiply money, without regrouping or regrouping once 131 Multiply money, regrouping twice 134 Division of money amounts Word problems 22 114 114 33 134 Computing change Mental multiplication of coins Calculating unit cost of items Recognize money words Rounding to the nearest dollar TIME - CLOCK 18 65 78 Telling time Telling time to the minute and half past Telling time before the hour; one hour equals 60 minutes Telling time a quarter to and a quarter past the hour; estimating time Elapsed time 89 Elapsed time in hours, on the hour 112 Elapsed time, am and pm 152 Elapsed time in minutes, across the 12 TIME - CALENDAR ODD AND EVEN NUMBERS WORD PROBLEMS 26 26 27 27 84 31 46 63 10 11 15 25 32 40 68 70 75 82 83 87 88 96 Recognizing days of the week; calculating the date within a week in the future One week equals 7 days Recognizing months of the year One year equals 12 months Calculating the date within a week, in the past Recognizing odd and even numbers up to 20 Recognizing odd and even numbers up to 100 Recognizing sets with odd and even numbers Drawing a map One-step word problems with addition and subtraction Solving word problems: sufficient information Solving word problems involving deductive reasoning Word problems with comparison words and subtraction Two-step word problems with addition and subtraction Two-step word problems with addition, subtraction and multiplication Solving word problems: putting a series of events in order Solving word problems using estimating Solving word problems involving fractional parts Solving word problems involving time: faster and slower Solving word problems involving division, given models Two-step word problems with addition, subtraction, multiplication and division Solving three-step word problems www.excelmath.com i.26 ©2007 AnsMar Publishers, Inc. Scope & Sequence of Lessons & Activities Third Grade # Lesson Concept 110 111 123 126 151 by lesson number # Activity Concept Solving word problems: what information is needed Solving division word problems with remainders Solving word problems using reasoning Solving word problems with 2 to 1 and 3 to 1 ratios Solving word problems: determine the question MEASUREMENTS 32 50 62 63 65 74 83 121 125 Measuring devices Names of units to measure weight, distance and volume Estimating weight, distance Estimating volume One hour equals 60 minutes Dozens, inches, feet and yards Gallons, quarts, pints, cups; tons, pounds, ounces; meters and centimeters Two-step problems; abbreviations for measurement units Discerning shorter, longer, lighter and heavier GEOMETRY 2-Dimensional figures 8 41 56 77 106 119 120 128 129 139 Recognizing shapes - circle, triangle, rectangle, square Learning a square is also a rectangle; defining a right angle and a square Recognizing lines and line segments Recognizing shapes with common characteristics Polygon, quadrilateral, parallelogram, pentagon, hexagon, octagon Parts of a circle Similar or congruent figures; flips, slides & turns Intersecting, parallel or perpendicular lines Diagonal lines Equilateral, icososceles and scalene triangles; the parts of a triangle 3-Dimensional figures 69 Cube, cone, cylinder, rectangular prism, pyramid, sphere 141 Faces, edges and vertices Area, Perimeter and Volume 72 86 116 124 135 145 Calculating area in square units Calculating perimeters to the nearest inch or centimeter Calculating perimeters of figures drawn to scale Calculating area of rectangles drawn to scale Calculating volume of figures with one layer of cubes Calculating volume of figures with several layers of cubes 77 130 55 56 108 120 138 Patterns of shapes Patterns of shading Lines of symmetry Measuring lines to the nearest inch or centimeter Measuring lines to the nearest half-inch or half-centimeter Flips, slides and turns Angles www.excelmath.com i.27 ©2007 AnsMar Publishers, Inc. Scope & Sequence of Lessons & Activities by lesson number Third Grade # Lesson Concept PRE-ALGEBRA 4 21 99 Mathematical symbols >, <, = Evaluating number sentences using < less than, > greater than, = equal and ≠ not equal Selecting < less than, > greater than, = equal and ≠ not equal to fill blank in number sentence 9 Calculate a number one more or less than a given number Number sentences 28 Learning the order of operations when parentheses are involved: addition or subtraction 92 Learning the order of operations when parentheses are involved: multiplication or division 107 Learning the order of operations when parentheses are involved: on both sides of the equal symbol 36 76 81 Solve for an unknown: addition or subtraction Solve for an unknown: after performing one operation Solve for an unknown: multiplication or division 57 76 105 107 122 Select the correct pair to complete a number sentence Select the correct process for an equation Select the correct equation to solve a problem Substitute numerical values for letters in an equation Change a number sentence from ≠ not equal to = equal 80 98 Recognizing number patterns in a chart Select the two-digit number closest to a given number 60 90 90 95 Estimating Rounding two-digit numbers to the nearest 10 Rounding three-digit numbers to the nearest 100 Rounding four-digit numbers to the nearest 1000 Rounding three numbers to the nearest 10 or four-digit numbers to the nearest 100 75 Estimating in word problems to the nearest 10 85 Estimating a range in a word problem 115 Estimating in word problems to the nearest 100 or 1000 PROBABILITY 5 30 Determining level of probability Calculating possible combinations GRAPHS 5 20 35 Interpreting pie graphs interpreting bar graphs interpreting picture graphs www.excelmath.com i.28 ©2007 AnsMar Publishers, Inc. Scope & Sequence of Stretches by concept, with lesson and page numbers Lesson Pg. NUMERATION Third Grade Stretch Concepts 2 4 6 14 16 38 21 50 28 66 36 86 82 196 93 222 116 278 Arranging numbers on a grid so sums add to 10 Arranging numbers on a grid so sums add to 12 Arranging numbers on a grid so sums add to 14 Arranging numbers on a grid so sums add to 16 Arranging numbers on a grid so sums add to 17 Arranging numbers on a grid so sums add to 18 116 278 Arranging numbers so sums of columns, rows, diagonals is 10 9 35 48 57 1000 85 20 82 114 136 238 What 3 consecutive numbers add to 66 What 4 odd numbers equal 20 What 3 odd 2-digit numbers equal 47 What 3 even 2-digit numbers add to 66 What 2-digit number is 3 times the sum of its digits 202 125 298 Move a line in a Roman numeral number to make a true equation Move a line in a Roman numeral number to make a true equation 8 14 27 32 61 74 18 32 64 76 146 176 Order in a foot race Order of arrival of 3 people Order of position of 4 houses Order of arrival of 4 people Order 5 people from tallest to shortest Order of ribbons given to three dogs 42 47 53 59 66 88 99 108 118 131 131 100 112 126 140 158 210 236 258 282 314 314 Match up positions of 3 players on a football team Match up first and last names of 3 people Match up professions of 3 people Match up toys of 3 boys Match up favorite subjects of three students Match up birthdays of 3 people Match up favorite drinks of 3 kids Match up favorite sports of 3 girls Match up 3 dogs with 3 boys Match up 3 pets with 3 owners’ names Match up 6 people in teams of 2 with names 45 55 92 106 130 220 How many days does it take to get $5.00 in a jar 20 coins add to $1.35 how many of each coin 12 coins add to $.97 how many of each coin 105 122 130 250 292 310 How many 10, 11, and 12 cent stamps given 8 stamps and 87 cents How many 2, 3, and 4 cent stamps given 6 stamps and 17 cents How many 5, 8, and 10 cent stamps given 9 stamps and 72 cents SORTING MONEY www.excelmath.com Arranging numbers so no two consecutive numbers are adjacent Arranging numbers so no two consecutive numbers are adjacent Arranging numbers so no two consecutive numbers are adjacent i.29 ©2007 AnsMar Publishers, Inc. Scope & Sequence of Stretches by concept, with lesson and page numbers Lesson Pg. 139 139 310 310 Third Grade TIME - CALENDAR 12 22 38 54 28 52 90 128 MEASUREMENTS 64 142 GEOMETRY 4 17 58 76 87 104 111 115 136 147 Stretch Concepts How many 4, 5, and 6 cent stamps given 9 stamps and 46 cents How many 6, 7, and 8 cent stamps given 6 stamps and 41 cents Calendar - given the 48th day in the year, what is the date Calendar - given the 93rd day in the year, what is the date Calendar - given the 130th day in the year, what is the date Calendar - given the 200th day in the year, what is the date 152 340 Which of 3 flights is fastest (3 different measures of time) Which of 3 buckets holds the most water (3 different measure of water) 8 40 138 182 208 248 266 274 326 352 Forming 2 squares by moving 2 lines Forming 3 squares by moving 1 line Forming 3 squares by moving 3 lines Forming 6 triangles by moving 4 lines Forming 2 rectangles by moving 3 lines Forming 3 squares by moving 3 lines Forming 6 squares by moving 2 lines Forming 3 squares by moving 8 lines Forming 2 squares by removing 2 lines Forming 3 squares by moving 5 lines 50 118 46 110 72 172 41 98 60 142 86 206 126 302 151 362 78 186 Forming 5 triangles using 10 lines 90 132 214 316 Cutting up graph paper to make 5 open cubes Which of the 4 figures will fold up to make a cube 145 145 346 346 How long is piece of string wrapped around a cube How long is piece of string wrapped around a rectangular prism 6 10 17 42 62 80 88 102 How much time required to cut an item into 10 pieces How many handshakes between 6 people How many dogs How many cats How many hits in a baseball game How many trees; total 12 How many baseball cards between 4 people How many fish were caught REASONING 3 5 7 18 26 34 37 43 www.excelmath.com Moving 2 circles on a drawing to turn the image upside down Moving 3 circles on a drawing to turn the image upside down Recognizing multiple triangles in a complex figure Recognizing multiple rectangles in a complex figure Recognizing multiple squares in a complex figure Recognizing multiple triangles in a complex figure Recognizing multiple squares in a complex figure Continuing patterns using triangular shapes i.30 ©2007 AnsMar Publishers, Inc. Scope & Sequence of Stretches by concept, with lesson and page numbers Third Grade Lesson Pg. 52 62 69 81 124 148 164 194 How many birds How many handshakes between 5 people How many books if one has 6 more than another; total 12 How many books if one has 1 more than another, total 17 29 10 68 22 How to exactly fill a bottle How much is the cost to cut something into 6 pieces 25 96 106 58 230 254 How much is the score on darts How many men and cows given 24 legs and 7 heads How many 2 and 3-legged stools given given 36 legs and 10 stools 20 51 67 80 84 98 113 120 133 148 46 122 160 190 200 234 270 286 318 354 True, false or not enough information based on 3 statements True, false or not enough information based on 2 statements True, false or not enough information based on 2 statements True, false or not enough information based on 2 statements True, false or not enough information based on 3 statements True, false or not enough information based on 3 statements True, false or not enough information based on 2 statements True, false or not enough information based on 3 statements True, false or not enough information based on 3 statements True, false or not enough information based on 3 statements PRE-ALGEBRA 11 19 24 31 39 40 44 49 56 63 68 70 73 75 83 89 94 101 107 110 114 119 124 129 134 141 149 149 www.excelmath.com 26 44 56 74 92 94 104 116 134 150 162 166 174 178 198 212 224 242 256 262 272 284 296 308 320 338 356 356 Stretch Concepts Equation: letters in place of numbers (horiz. add & subtract) Equation: letters in place of numbers (horiz. add & subtract) Equation: letters in place of numbers (horiz. add & subtract) Equation: letters in place of numbers (horiz. add & subtract) Equation: letters in place of numbers (horiz. add & subtract) Equation: letters in place of numbers (horiz. addition) Equation: letters in place of numbers (horiz. add & subtract) Equation: letters in place of numbers (horiz. add & subtract) Equation: letters in place of numbers (horiz. add & subtract) Equation: letters in place of numbers (horiz. add & subtract) Equation: letters in place of numbers (horiz. add, subtract & multiply) Equation: letters in place of numbers (horiz. add, subtract & multiply) Equation: letters in place of numbers (horiz. add, subtract & multiply) Equation: letters in place of numbers (horiz. repeated add, subtract & multiply) Equation: letters in place of numbers (horiz. add, subtract & multiply) Equation: letters in place of numbers (horiz. repeated add, subtract & multiply) Equation: letters in place of numbers (horiz. subtract & multiply) Equation: letters in place of numbers (horiz. repeated add, subtract & multiply) Equation: letters in place of numbers (horiz. repeated add, subtract & multiply) Equation: letters in place of numbers (horiz. add, subtract & divide) Equation: letters in place of numbers (horiz. repeated add, subtract & multiply) Equation: letters in place of numbers (horiz. add, subtract & multiply) Equation: letters in place of numbers (horiz. add, subtract & multiply) Equation: letters in place of numbers (horiz. add, subtract & multiply) Equation: letters in place of numbers (divide & multiply) Equation: letters in place of numbers (horiz. add, subtract & divide) Equation: letters in place of numbers (horiz. subtract, multiply & divide) Equation: letters in place of numbers (horiz. subtract & multiply) i.31 ©2007 AnsMar Publishers, Inc. Scope & Sequence of Stretches by concept, with lesson and page numbers Lesson Pg. Third Grade Stretch Concepts 13 30 79 188 144 344 Sum is 24, difference is 6; what are the two numbers Sum is 51, difference is 13; what are the two numbers Sum is 160, difference is 8; what are the two numbers 91 30 95 135 95 What number is greater than 60, less than 80 and its digits add to 13 What number is as much greater than 25 as it is less than 81 Write an equation that equals 30, using the same number 3 times What number divided by various other numbers has specified remainders Using 1-9, write 3 subtraction problems where answers are consecutive numbers 218 70 226 322 226 1 2 77 184 112 268 137 328 102 244 117 280 121 290 127 304 128 306 Numerical values represented by 3 symbols Numerical values represented by 5 symbols 109 260 Move boxes to find the heaviest box 140 334 Moving 3 people with a raft to cross the river 23 97 143 54 232 342 Creating a chart to calculate number of stamps owned by 2 boys Creating a chart to calculate number of cars owned by 2 boys Creating a chart to calculate number of clothes owned by 2 girls www.excelmath.com How much are contents if bottle is so much of total price How much are contents if bottle is so much of total price Move boxes to balance a scale (numbers to balance an equation) Move boxes to balance a scale (numbers to balance an equation) Move boxes to balance a scale (numbers to balance an equation) Move boxes to balance a scale (numbers to balance an equation) Move boxes to balance a scale (numbers to balance an equation) i.32 ©2007 AnsMar Publishers, Inc. Create A Problem (Back of Tests) by test, with title, lesson concept and page numbers Test Page Third Grade Concepts Test 01 Test 02 Test 03 Test 04 12 24 36 48 Word and Time Problems - how many and how long - A Day at the Pool Word and Time Problems - minutes - Soccer Practice Word Problems - how many and how long - Music By Memory Word Problems - enough information and how many - Visit to the Pet Store Test 05 Test 06 Test 07 Test 08 60 72 96 108 Word Problems - how many more than - Going to the Fair Word Problems - numbers and days - Model Airplanes Word Problems - distances and judgement - Letters Make A Difference Word Problems - likelihood - Rene’s Stickers Test 09 Test 10 Test 11 Test 12 120 132 144 156 Word Problems - even and odd numbers - What’s Your Address Word Problems - days and distances - Maria Goes Fishing Word Problems - locations and ages - Dewain’s Best Game Word Problems - fractions and estimates - Iowa Hogs Test 13 Test 14 Test 15 Test 16 180 192 204 216 Money Problems - arranging in order - Rides at the Fair Word Problems - fractions - Planting Tulips Word Problems - creating your own problems - Mitch and His Zoo Word Problems - create two step problems - Carlos’ Marbles Test 17 Test 18 Test 19 Test 20 228 240 264 276 Money Problems - estimating and creating - James needs new Shoes Time and Weight - working hours and loads - Delivering the Mail Word Problems - dividing into sets; finish the problem - Alex and her Books Reasoning and Money Problems - making change - More than one way to solve Test 21 Test 22 Test 23 Test 24 288 300 312 324 Time and Money - working hours and costs - Bring Your Pet to Work Observation; Following Instruction - Looking for Info on a Purchase Order Time Calendar - scheduling events - The Vegetarian Cookbook Money Problems - income per item - The Fund-Raising Party www.excelmath.com i.33 ©2007 AnsMar Publishers, Inc. Lesson Concepts by lesson & page number Third Grade # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 Pg 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 www.excelmath.com Lesson Concept Tens and ones place; add and subtract two-digit numbers; addition and subtraction fact to 10 Recognizing a sequence counting by one, two, five or ten Recognizing ordinals first through nineteenth counting from the left or right Putting three numbers in order from least to greatest; mathematical symbols >, <, = Calculating probability; interpreting information in pie graphs Test 1 & Create A Problem: A day at the pool Filling in missing numbers counting up or down by 1, 2, 5 or 10; addition facts of 11, 12, 13 Adding 2 two-digit numbers using the facts of ten, with regrouping Circles, triangles, squares and rectangles; adding and subtracting two-digit numbers horizontally Any number or number word less than 100; finding a number more or less than a given number Using a map and directions to find a location Test 2 & Create A Problem: Soccer practice Solving word problems using addition or subtraction Learning the hundreds place; adding and subtracting three-digit numbers Learning the addition facts of 14, 15, 16, 17 and 18; putting 4 numbers in order Adding 2 or 3 two-digit numbers, with regrouping using facts of 11, 12, 13 Evaluating information to see if it is sufficient to answer the question Test 3 & Create A Problem: Music by memory Recognizing coins; learning change equivalents Learning the subtraction facts of 11, 12, 13 Telling time to the minute and half past the hour Adding 2 or 3 two-digit numbers, with regrouping using facts of 14, 15, 16, 17, 18 Interpreting information in vertical and horizontal bar graphs Test 4 & Create A Problem: A visit to the pet store Evaluating number sentences using < > = equal and ≠ not equal; defining equation Learning which coins to use to buy something; computing change in word problems Subtracting two-digit numbers, with regrouping using the facts of 10, 11, 12, 13 Learning the subtraction facts of 14, 15, 16, 17, 18 Using deductive reasoning to solve a word problem Test 5 & Create A Problem: Going to the fair Calculating the date within one week in the future; learning the days of the week Recognizing any number less than 1000; learning the order of the months of the year Learning the order of operations when parentheses are involved: addition and subtraction Adding three-digit numbers; regrouping only to the tens place Calculating possible combinations Test 6 & Create A Problem: Model airplanes Recognizing odd and even numbers up to 20; calculating one half of a group Solving word problems involving comparisons Recognizing money words and symbols Adding three-digit numbers; regrouping once to the tens or hundreds place Interpreting picture graphs First Quarter Test i.34 ©2007 AnsMar Publishers, Inc. Lesson Concepts by lesson & page number Third Grade # Pg Lesson Concept 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 Calculating missing numbers on either side of the equal symbol in number sentences Recognizing a sequence counting by 3, 4 or 10 Comparing and putting three-digit numbers in order Multiplying single-digit numbers by 0, 1, or 2 Solving two-step word problems Test 7 & Create A Problem: Letters make a difference Adding three-digit numbers; regrouping twice; defining a right angle and a square Subtracting three-digit numbers, with regrouping in the tens place using facts of 14-18 Learning about the thousands place; adding and subtracting four-digit numbers Learning change equivalents up to one dollar with pennies, nickels and dimes Recognizing basic addition and subtraction fact families Test 8 & Create A Problem: Rene’s stickers Multiplication facts with products up to 20; recognizing odd and even numbers less than 100 Subtracting three-digit numbers with regrouping in the tens or hundreds place Fill in the missing numbers in a sequence counting by 3, 4 or 10 Recognizing numbers less than 10,000 when the hundreds digit is greater than zero Learning standard units of weight, distance and volume Test 9 & Create A Problem: What’s your address? Addition of money amounts, with regrouping Subtracting 2 three or four-digit numbers, regrouping twice Learning multiplication facts of 10, 11 and 12; 4 three-digit numbers in order from greatest to least Solving fractional problems modeled with shading and groups of figures Recognizing lines of symmetry Test 10 & Create A Problem: Maria goes deep sea fishing Labeling lines and line segments; measuring a line segment to the nearest inch or centimeter Using sets of numbers (within parentheses) to complete number sentences Dividing numbers up to 10 by splitting into equal parts and using repeated subtraction Dividing numbers up to 14 by splitting into equal parts and using repeated subtraction Rounding numbers less than 100 to the nearest 10 Test 11 & Create A Problem: Dewain’s best game Multiplying a one-digit by a two-digit number, no regrouping Estimating distance and weight measurements Estimating volume measurements; recognizing a set with odd or even numbers Subtracting three-digit numbers, regrouping twice with zeroes or a one in the tens place Telling time before the hour; learning that an hour has 60 minutes Test 12 & Create A Problem: Jake’s Iowa hogs Defining numerator and denominator; selecting a fraction that matches a given model Adding three numbers where the sum of a single place is greater than 19 and less than 30 Solving word problems using multiplication; learning multiplication facts with products to 30 Recognizing three-dimensional solid figures Putting a series of events in order Second Quarter Test www.excelmath.com i.35 ©2007 AnsMar Publishers, Inc. Lesson Concepts by lesson & page number Third Grade # Pg Lesson Concept 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224 226 228 230 232 234 236 238 240 242 244 246 248 250 252 Learning division facts with dividends to 20; recognizing multiplication and division fact families Computing the area of a plane figure given in square units Multiplying a one-digit number by a two-digit number, with regrouping Learning measurement equivalents for yards, feet and inches; the concept of a dozen Rounding to the nearest 10; estimating answers to word problems Test 13 & Create A Problem: Rides at the fair Using the correct process symbol in an equation; filling in a missing number in an equation Completing a pattern of shapes; recognizing shapes with common characteristics Telling time a quarter to and a quarter past on the clock; estimating time without marks on the clock Recognizing any numbers and number words less than 10,000 Completing number patterns and relationships shown in a chart Test 14 & Create A Problem: Planting tulips Solving for an unknown in an equation when multiplying and dividing Solving fractional part word problems; how many quarters or half-dollars equal a dollar Solving word problems involving time; abbreviations for common measurement units Calculating the date within one week in the past Estimating answers within a range Test 15 & Create A Problem: Mitch and his zoo Calculating perimeters to the nearest inch or centimeter Solving division word problems given models Solving division word problems Calculating the time in the future or past when the elapsed time is in hours Rounding to the nearest hundred or thousand Test 16 & Create A Problem: Carlos’ marbles Multiplying a three-digit by a one-digit number, regrouping once Learning the order of operations within parentheses: multiplication and division Dividing a number less than 11, with remainders Dividing a number less than 11, with remainders Multiplying money by a one-digit number; regrouping once; rounding to the nearest 10 or 100 Test 17 & Create A Problem: James needs new shoes Learning division facts with 5 as a factor; solving three-step word problems Multiplication facts with products up to 40; recognizing a number sequence counting by 5 or 6 Finding the two-digit number closest to a given number Evaluating number sentences with missing operation symbols of <, >, = equal, or ≠ not equal Writing numbers less than 10,000 in multiple forms, including expanded notation Test 18 & Create A Problem: Delivering the mail to Hailey Division with one-digit divisor, two-digit divident & two-digit quotient, without regrouping or remainders Division with one-digit divisor, two-digit divident & two-digit quotient, without regrouping or remainders Division with one-digit divisor, two-digit divident & two-digit quotient, without regrouping or remainders Comparing and putting 3 four-digit numbers in order from greatest to least Choosing the correct equation to solve a word problem Third Quarter Test www.excelmath.com i.36 ©2007 AnsMar Publishers, Inc. Lesson Concepts by lesson & page number Third Grade # Pg Lesson Concept 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 254 256 258 260 262 264 266 268 270 272 274 276 278 280 282 284 286 288 290 292 294 296 298 300 302 304 306 308 310 312 314 316 318 320 322 324 326 328 330 332 334 336 Defining polygon, quadrilateral, parallelogram, pentagon, hexagon and octagon shapes Creating equations by substituting numbers for letters; performing operations indicated by parentheses Measuring a line segment to the nearest half-inch or half-centimeter Learning that the whole is the sum of its parts Identifying the information needed to answer a question in a word problem Test 19 & Create A Problem: Alex and her books Calculating quotients with remainders, dividends to 20; word problems with division and remainders Calculating elapsed time involving A.M. and P.M. Filling in missing numbers in a sequence counting by 5 or 6; multiplication facts with products to 50 Learning change equivalents; multiplying coins; calculating unit cost Estimating answers to word problems by rounding to the nearest hundred or thousand Test 20 & Create A Problem: More than one way to solve a problem Calculating perimeter of a shape drawn to scale; abbreviations for distance; km = 1000 meters Recognizing multiples; division facts with dividends to 30 that are multiples of 10, 11 and 12 Division with a two-digit divisor and two-digit dividends less than 50 Learning the parts of a circle Similar and congruent figures’ recognizing flips, slides and turns Test 21 & Create A Problem: Bring your pet to work day? Abbreviations fof units of weight and volume; two-step measurement problems Changing an inequality to an equation by moving values in the number statement Solving word problems using reasoning Computing the area of a rectangle that is drawn to scale Recognizing the shorter or longer distance, and the lighter or heavier weight Test 22 & Create A Problem: Looking for information on a purchase order Calculating answers to word problems using 2 to 1 and 3 to 1 ratios Calculating answers to word problems using 2 to 1 and 3 to 1 ratios Defining parallel, intersecting and perpendicular lines Defining diagonal lines; recognizing parallel and perpendicular lines; converting centimeters Recognizing changing patters in a sequence of figures Test 23 & Create A Problem: The vegetarian cookbook Learning the multiplication facts with products up to 81; multiplying and regrouping twice Dividing: one-digit divisor, three-digit dividend and two-digit quotitent, no regrouping or remainders Dividing: one-digit divisor, three-digit dividend and two-digit quotitent, no regrouping or remainders Rounding to the nearest dollar; dividing dollar amounts Computing the volume of one layer of cubes Test 24 & Create A Problem: The fund-raising party Subtracting four-digit numbers Solving word problems with fractional parts and the word “not” Defining line, line segment and ray; line notation; recognizing right, acute and obtuse angles Equilateral, isosceles and scalene triangles; learning the parts of a triangle Adding and subtracting simple fractions Fourth Quarter Test www.excelmath.com i.37 ©2007 AnsMar Publishers, Inc. Lesson Concepts by lesson & page number Third Grade # Pg Lesson Concept 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 338 340 342 344 346 348 350 352 354 356 358 360 362 364 366 368 370 Recognizing faces, edges and vertices of polyhedrons Division and multiplication facts with dividends less than 50 Determining factors Determining prime factors Computing the volume of several layers of cubes Year End Test 1 Figuring change using the fewest coins, with quarters, dimes, nickels and pennies Comparing the value of fractions Determining equivalent fractions using models Determining equivalent fraction using money Recognizing any whole number greater than zero and less than a million Year End Test 2 Determining the question, given the story and the answer; division facts with dividends to 81 Computing elapsed time across 12 on the clock Dividing with a two-digit divisor and two-digit dividend Dividing with a two-digit divisor and two-digit dividend Filling in missing numbers in a sequence counting by increasing or decreasing amounts We sometimes find it necessary to change problems or answers in the Excel Math Lessons. Changes and corrections are posted on the PRODUCT UPDATES page of our website. Please let us know if you find an incorrect Checkanswer or have other questions. www.excelmath.com www.excelmath.com i.38 ©2007 AnsMar Publishers, Inc.
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