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 , 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
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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
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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
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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
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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
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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
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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
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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
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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)
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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
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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
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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 >, = 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
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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
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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
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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
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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
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