Grade. Michigan NUMBER AND OPERATIONS. Understand and use number notation and place value

Transcription

1 Content. Fourth Grade Mathematics Grade Level Content Grade Math 4 Triumphs Michigan 2009 NUMBER AND OPERATIONS Understand and use number notation and place value N.ME Read and write numbers to 1,000,000; relate them to the quantities they represent; compare and order. G4-FP8C Example 5, 9, 10, 17, 18, 23, 24 Guided Practice 6-7, 11-12, 19-20, Key Concept 4, 9, 16, 22 Progress Check 15, 29 Skills, Concepts, and Problem Solving 8, 13-14, 21-22, Study Guide 45 #7-#24 Test Practice 50 #1-#7 ATG 7, 11, 20, 26; HP A7, A11, A15, A19; IS 12, 17, 21, 46; MCh 13, 18; SP A5, A9, A13, A17; TOD 8, 22, 28; UM 6, 11, 19 Codes used for Teacher Edition pages are the initial caps of headings on that page.

2 Content. N.ME Compose and decompose numbers using place value to 1,000,000 s, e.g., 25,068 is 2 ten thousands, 5 thousands, 0 hundreds, 6 tens, and 8 ones. G4-FP8C N.ME Understand the magnitude of numbers up to 1,000,000; recognize the place values of numbers and the relationship of each place value to the place to its right, e.g., 1,000 is 10 hundreds. G4-FP8C Chapter Test 48 #7-#12 Example 5, 10, 24 Guided Practice 6 #8, 11 #11-#16, 25 #4, #5 Key Concept 4, 9, 23 Progress Check 15 #1-#5, 29 #7-#10 Skills, Concepts, and Problem Solving 8 #14, #15, 13 #38-#41, 27 #20-#24 Test Practice 50 #3 HP A7, A11, A19; IS 5; SP A5, A9, A17; TOD 8; UM 6, 11 Chapter Test 48 #13-#18 Example 9, 24 Guided Practice 11 #1-#10 Key Concept 4, 9, 23 Progress Check 15 #6-#13, 29 #11-#14 Skills, Concepts, and Problem Solving 13 #25-#27, 27 #14-#19 Study Guide 46 #11-#16, 47 #21-#24 HP A19; IS 12; MCh 24; MCN 5; SP A9, A17; UM 6, 11 Fourth Grade Mathematics 2 Math Triumphs Grade 4

3 Content. Use factors and multiples N.ME Find all factors of any whole number through 50, list factor pairs, and determine if a one-digit number is a factor of a given whole number.* G4-FP1 N.ME List the first ten multiples of a given one-digit whole number; determine if a whole number is a multiple of a given one-digit whole number.* G4-FP1 N.MR Know that some numbers including 2, 3, 5, 7, and 11 have exactly two factors (1 and the number itself) and are called prime numbers. G4-FP1 N.MR Use factors and multiples to compose and decompose whole numbers.* G4-FP1 Example 205 Guided Practice 206 #2-#8 Key Concept 204 Skills, Concepts, and Problem Solving 209 #13-#24 Study Guide 224 #23-#26 HP A115; IS 54, 208; MCh 116; SP A113 Example 197, 198 Guided Practice 199 #1-#7 Key Concept 197 Skills, Concepts, and Problem Solving 201 #12-#17 Study Guide 224 #27-#30 CE 121; ELS 79, 108; HP A111; IS 65; KC 69, 83, 111, 119, 125; MCh 87; SP A109 The following page references can be expanded to include prime numbers Example 198, 204, 205 Guided Practice 199 #1-#4, 206 #1-#8 Key Concept 197, 204 Skills, Concepts, and Problem Solving 201 #12-#17, 209 #13-#24 MCN 201 Fourth Grade Mathematics 3 Math Triumphs Grade 4

4 Content. Add and subtract whole numbers N.FL Add and subtract whole numbers fluently. G4-FP4C/G4-FP8C Multiply and divide whole numbers N.ME Multiply two-digit numbers by 2, 3, 4, and 5 using the distributive property, e.g., 21 x 3 = (1 + 20) x 3 = (1 x 3) + (20 x 3) = = 63. G4-FP1 N.FL Multiply fluently any whole number by a one-digit number and a three-digit number by a two-digit number; for a two-digit by one-digit multiplication use distributive property to develop meaning for the algorithm. IS 70; MCN 80, 84, 86, 108, 122, 129 G4-FP1 N.FL Divide numbers up to four-digits by one-digit numbers and by 10. G4-FP8C Chapter Test 170 #9-#20 Example 160, 161 Guided Practice Key Concept 159 Progress Check 166 #3-#6 Skills, Concepts, and Problem Solving 151 #14-#25, 157 #14-#28, 164 Study Guide 169 #23-#32 HP A92; MCN 149, 156; SP A90 Fourth Grade Mathematics 4 Math Triumphs Grade 4

5 Content. N.FL Find the value of the unknowns in equations such as a 10 = 25; 125 b = 25.* G4-FP1/G4-FP4C N.MR Use the relationship between multiplication and division to simplify computations and check results. G4-FP1/G4-FP8C N.MR Solve contextual problems involving whole number multiplication and division.* G4-FP1/G4-FP4C/G4-FP8C Chapter Test 137 #20-#25 Guided Practice 71 #9-#14, 77 #11-#20, 100 #12-#15, 107 #7-#12, 121 #12-#16 Progress Check 82 #15, #16, 118 #3, #4, 132 #3-#6 Skills, Concepts, and Problem Solving 73 #23-#28, 80 #29-#36, 87 #24-#27, 103 #33-#42, 115 #18-#21, 123 #27-#30, 130 #22-#25 Study Guide 90 #17, #18, #22-#24, 135 #19-#22, #25-#28 Guided Practice 145 #7, #8, 150 #8, #9, 157 #8, 163 #8, #9 Key Concept 142 Chapter Test 93 #22, #23, 137 #26-#28, 171 #21, #22 Guided Practice 57 #7, #8, 64 #25-#27, 72 #15-#17, 78 #21-#23, 86 #16-#18, 101 #16-#18, 108 #13-#15, 114 #12-#14, 122 #17-#19, 128 #12-#14, 145 #7-#9, 150 #8-#10, 156 #7-#10, 163 #8-#10 Skills, Concepts, and Problem Solving 60 #27-#29, 66 #50-#52, 74 #29-#31, 80 #37-#40, 88 #32-#34, 104 #43-#46, 110 #23, #24, 116 #30-#33, 124 #32, #38, #39, 130 #34-#36, 165 #24, #25 PSP A33, A37, A41, A45, A49, A56, A60, A64, A68, A72, A79, A83, A87, A91 Fourth Grade Mathematics 5 Math Triumphs Grade 4

6 Content. Read, interpret and compare decimal fractions N.ME Read and interpret decimals up to two decimal places; relate to money and place value decomposition. N.ME Know that terminating decimals represents fractions whose denominators are 10, 10 x 10, 10 x 10 x 10, etc., e.g., powers of 10. N.ME Locate tenths and hundredths on a number line. Chapter Test 266 #1-#4 Example 232, 233, 248, 249 Guided Practice , Key Concept 232, 247 Skills, Concepts, and Problem Solving , Study Guide 264 #9, #13, #14 Test Practice 268 #2-#4, #6, #9 ATG 251; HP A126, A134; IS 233; MCh 236, 253; SP A124, A132; TOD 238, 254; UM 235 The following page references can be used during teacher/class discussion to meet this standard. Key Concept 272, 286 Chapter Test 267 #16-#19 Example 234, 240, 293 Guided Practice 235 #2, #7, 242 #3, #8, 258 #1, #2, Key Concept 255, 293 Skills, Concepts, and Problem Solving 238 #16, #17, 244 #14-#17, 260 #14-#17, 298 #15, #16 A 238; HP A126, A130, A158; SP A124, A128, A156 Fourth Grade Mathematics 6 Math Triumphs Grade 4

7 Content. N.ME Read, write, interpret, and compare decimals up to two decimal places. N.MR Write tenths and hundredths in decimal and fraction forms, and know the decimal equivalents for halves and fourths. Chapter Test 266 #1, #2, #6-#19 Example 233, 234, 256, 257 Guided Practice , Key Concept 232, 255 Skills, Concepts, and Problem Solving , Study Guide 264 #9, #15-#17 ATG 235, 259; HP A126, A138; IS 255; MCh 261; SP A124, A136; TOD 238, 262; UM 235, 258 Example 272, 273 Guided Practice Key Concept 272 Skills, Concepts, and Problem Solving ATG 275; HP A146; IS 276; SP A144; TOD 278 Understand fractions N.ME Understand fractions as parts of a set of objects. Example 177 Guided Practice 178 #2, #6-#8 Key Concept 176 Skills, Concepts, and Problem Solving 181 #19-#25 HP A99; IS 177; SP A97; UM 178 Fourth Grade Mathematics 7 Math Triumphs Grade 4

8 Content. N.MR Explain why equivalent fractions are equal, using models such as fraction strips or the number line for fractions with denominators of 12 or less, or equal to 100. N.MR Locate fractions with denominators of 12 or less on the number line; include mixed numbers.* N.MR Understand the relationships among halves, fourths, and eighths and among thirds, sixths, and twelfths. N.ME Know that fractions of the form m/n where m is greater than n, are greater than 1 and are called improper fractions; locate improper fractions on the number line.* Example 192 Guided Practice Key Concept 191 Progress Check 203 #1-#5 Skills, Concepts, and Problem Solving Study Guide 223 #20-#22 ATG 194; HP A107; IS 191, 192, 195; MCN 194; SP A 105; TOD 196; UM 193 Example 213, 293 Guided Practice 295 #1-#6 Key Concpet 293 Skills, Concepts, and Problem Solving 219 #27, 298 #15, #16 HP A158; SP A156 Example 184, 185 UM 186 The following page references can be expanded during teacher/class discussion to meet this standard IS 280; UM 281 Fourth Grade Mathematics 8 Math Triumphs Grade 4

9 Content. N.MR Write improper fractions as mixed numbers, and understand that a mixed number represents the number of wholes and the part of a whole remaining, e.g., 5/4= 1+ ¼=1¼. N.MR Compare and order up to three fractions with denominators 2, 4, and 8, and 3, 6, and 12, including improper fractions and mixed numbers. The following page references can be expanded during teacher/class discussion to meet this standard IS 280; UM 281 Chapter Test 227 #12-#16, 305 #13-#15 Example 212, 213, 214, 293, 294 Guided Practice , Key Concept 211, 293 Progress Check 220 #9-#15, 300 #7-#10 Skills, Concepts, and Problem Solving , Study Guide 225 #31-#34, 303 #24-#27 Test Practice 229 #8, #9, #11, 306 #8, #11 ATG 216, 296; HP A119, A158; IS 211, 213; MCh 218; MCN 294; SP A117, A156; TOD 219, 299; UM 215 Add and subtract fractions N.MR Add and subtract fractions less than 1 with denominators through 12 and/or 100, in cases where the denominators are equal or when one denominator is a multiple of the other, e.g., 1/12+5/12=6/12; 1/6+5/12=7/12; 3/10-23/100=7/100. G4-FP8C Fourth Grade Mathematics 9 Math Triumphs Grade 4

10 Content. N.MR Solve contextual problems involving sums and differences for fractions where one denominator is a multiple of the other (denominators 2 through 12, and 100).* G4-FP8C N.MR Find the value of an unknown in equations such as 1/8+ x=5/8 or ¾-y=1/2.* G4-FP1/G4-FP4C Multiply fractions by whole numbers N.MR Multiply fractions by whole numbers, using repeated addition and area or array models. G4-FP1 Add and subtract decimal fractions N.MR For problems that use addition and subtraction of decimals through hundredths, represent with mathematical statements and solve.* N.FL Add and subtract decimals through hundredths.* Multiply and divide decimal fractions N.FL Multiply and divide decimals up to two decimal places by a one-digit whole number where the result is a terminating decimal, e.g., = 0.14, but not 5 3 = 1.6. Example 248 Guided Practice 251 #9 (Note: There should be a line above the 6.) G4-FP8C Fourth Grade Mathematics 10 Math Triumphs Grade 4

11 Content. Estimate N.FL Estimate the answers to calculations involving addition, subtraction, or multiplication. G4-FP1/G4-FP2/G4-FP4C/G4-FP8C N.FL Know when approximation is appropriate and use it to check the reasonableness of answers; be familiar with common place-value errors in calculations. The following page references use the concept of area to meet this standard. Example 360 Guided Practice 361 #3 IS 363; TOD 364 G4-FP1/G4-FP4C/G4-FP8C N.FL Make appropriate estimations and calculations fluently with whole numbers using mental math strategies. G4-FP1/G4-FP4C/G4-FP8C The following page references use the concept of area to meet this standard. Example 360 Guided Practice 361 #3 IS 363; TOD 364 Fourth Grade Mathematics 11 Math Triumphs Grade 4

12 Content. MEASUREMENT Measure using common tools and appropriate units M.UN Measure using common tools and select appropriate units of measure. G4-FP3/G4-FP5C M.PS Give answers to a reasonable degree of precision in the context of a given problem. G4-FP3/G4-FP5C M.UN Measure and compare integer temperatures in degrees. Chapter Test 346 #5, #6 Example 328 Guided Practice Key Concept 327 Skills, Concepts, and Problem Solving Study Guided 345 #15, #16 HP A178; IS 331, 333, 340; MCh 339; SP A176; UM 329, 337 The following page references can be used during teacher/class discussion to meet this standard. IS 328, 333; MCh 332; TOD 334 G4-FP3/G4-FP5C M.TE Measure surface area of cubes and rectangular prisms by covering and counting area of the faces. MCh 363 G4-FP5C, G4-FP6C Fourth Grade Mathematics 12 Math Triumphs Grade 4

13 Content. Convert measurement units M.TE Carry out the following conversions from one unit of measure to a larger or smaller unit of measure: meters to centimeters, kilograms to grams, liters to milliliters, hours to minutes, minutes to seconds, years to months, weeks to days, feet to inches, ounces to pounds (using numbers that involve only simple calculations). The following page references on measurement can be expanded to meet this standard. ELS 327; MCN 330; TOD 334; UM 329, 337 G4-FP3/G4-FP5C Use perimeter and area formulas M.TE Know and understand the formulas for perimeter and area of a square and a rectangle; calculate the perimeters and areas of these shapes and combinations of these shapes using the formulas. G4-FP3/G4-FP5C M.TE Find one dimension of a rectangle given the other dimension and its perimeter or area. G4-FP3/G4-FP5C Chapter Test 377 #10-#13 Example 335, 366, 367 Guided Practice 338 #6-#11, Key Concept 366 Skills, Concepts, and Problem Solving 340 #15, #17-#19, Study Guide 375 Test Practice 378 #5-#9 ATG 369; HP A196; SP A194; UM 368 The following page references can be extended to meet this standard. Guided Practice 338 #7, 368 #4-#6 Skills, Concepts, and Problem Solving 340 #15, #18, #19, 371 #14-#17, #19-#22 Fourth Grade Mathematics 13 Math Triumphs Grade 4

14 Content. M.TE Find the side of a square given its perimeter or area. G4-FP3/G4-FP5C M.PS Solve contextual problems about perimeter and area of squares and rectangles in compound shapes. The following page references can be extended to meet this standard. Guided Practice 338 #6, 368 #7 Skills, Concepts,and Problem Solving 340 #17, 371 #18 IS 370 G4-FP3/G4-FP5C Understand right angles M.TE Identify right angles and compare angles to right angles. G4-FP5C/G4-FP6C Example 315 Guided Practice 316 #1, #2 Key Concept 315 Progress Check 320 #7, #8 Skills, Concepts, and Problem Solving 318 #10-#13 HP A170; IS 318; SP A168; TOD 319 Problem-solving M.PS Solve contextual problems about surface area. G4-FP5C, G4-FP6C Fourth Grade Mathematics 14 Math Triumphs Grade 4

15 Content. GEOMETRY Understand perpendicular, parallel, and intersecting lines G.GS Identify and draw perpendicular, parallel, and intersecting lines using a ruler and a tool or object with a square (90º) corner. G4-FP5C Chapter Test 346 #1, #3 Example 311 Guided Practice 311 #1, #3-#9 Key Concept 310 Progress Check 320 #5, #6 Skills, Concepts, and Problem Solving 313 #10, #14-#17 Study Guide 343 #8, #9 ATG 312; HP A166; SP A164 Identify basic geometric shapes and their components, and solve problems G.GS Identify basic geometric shapes including isosceles, equilateral, and right triangles, and use their properties to solve problems. G4-FP5C/G4-FP6C G.SR Identify and count the faces, edges, and vertices of basic three-dimensional geometric solids including cubes, rectangular prisms, and pyramids; describe the shape of their faces. Example 322 Guided Practice 324 #5-#11 Key Concept 321 Skills, Concepts, and Problem Solving 326 #18, #19 IS 321, 322; KC 321 G4-FP5C/G4-FP6C Fourth Grade Mathematics 15 Math Triumphs Grade 4

16 Content. Recognize symmetry and transformations G.TR Recognize plane figures that have line symmetry. G4-FP5C/G4-FP6C G.TR Recognize rigid motion transformations (flips, slides, turns) of a two-dimensional object. G4-FP5C/G4-FP6C Chapter Test 414 #7-#9 Example 397 Guided Practice Key Concept 397 Progress Check 410 #1-#3 Skills, Concepts, and Problem Solving Study Guide 413 #10, #11 Test Practice 417 #7 ATG 400; HP A212; IS 398, 401; SP A210; TOD 402; UM 399 Chapter Test 414 #5, #6, #12, #13 Example 389, 390, 403, 404 Guided Practice , Key Concept 389, 403 Progress Check 396 #3-#6, 410 #4-#7 Skills, Concepts, and Problem Solving , Study Guide 412 #9, #12, #13 ATG 392, 405; HP A208, A216; IS 393, 401, 404, 407; MCh 390; SP A206, A214; TOD 395, 409; UM 391, 405 Fourth Grade Mathematics 16 Math Triumphs Grade 4

17 Content. DATA AND PROBABILITY Represent and solve problems for given data D.RE Construct tables and bar graphs from given data. G4-FP7C D.RE Order a given set of data, find the median, and specify the range of values. G4-FP7C D.RE Solve problems using data presented in tables and bar graphs, e.g., compare data represented in two bar graphs and read bar graphs showing two data sets. G4-FP7C *revised expectations in italics Fourth Grade Mathematics 17 Math Triumphs Grade 4