Mathematics Standards South Dakota Missouri Math Connects Course 1 2009 STANDARDS Sixth Grade Algebra Grade Standards, Supporting Skills, and Examples Indicator 1: Use procedures to transform algebraic expressions. 6.A.1.1. Students are able to use order of operations, excluding nested parentheses and exponents, to simplify whole number expressions. Examples: 1) 7 + 4 3 5 10 2) 2 (3 + 5) + 7( ) 2 3) Ms. Smith s class is going to the movies. Tickets cost $3 for children and $5 for adults. Write and simplify the expression that shows the cost for 20 children and 4 adults. 37-40, 42-46, 53 #31-#34, 77 #15-#20, 577-581, 582-586, 598 #37 Mid-Chapter Quiz 41 #13-#17 Study Guide and Review 70 Practice Test 73 37b A 40; AE 38; SQ 37; TNT 39
6.A.1.2. Students are able to write algebraic expressions involving addition or multiplication using whole numbers. Show multiplication in various forms: 2 3 or 2 n or 2 (3). Example: A number increased by 6 2) Twice a number 42-46, 53 #31-#33, 60 #42-#44, 63-67, 343-348, 636-641, 648 #36, 654 #39 Algebra Lab 61 Study Guide and Review 70-72, 664 #18-#28 Practice Test 73 #9-#11, 19-20, 359 #17 Mid-Chapter Quiz 649 #11-#19 42b A 46; AE 43; FMC 43, 344; SQ 42 Indicator 2: Use a variety of algebraic concepts and methods to solve equations and inequalities. 6.A.2.1. Students are able to write and solve one-step 1 st degree equations, with one variable, involving inverse operations using the set of whole numbers. Examples: 1) Choose the correct answer to solve this equation using inverse operations, x + 3 = 7 a) x + 3 = 7 3 b) x + 3 3 = 7 3 c) x + 3 3 = 7 7 d) x + 3 3 = 7 + 3 57-60, 67 #33-#37, 644-648, 651-654, 657-660 Study Guide and Review 71-72, 665-666 Algebra Lab 642-643, 650 Mid-Chapter Quiz 649 #22-#25 Practice Test 667 57b, 644b, 651b, 657b A 60; AE 58, 645-646, 652; SQ 57, 651 2) Write an equation for this statement and find the solution: Four times a number is eight. Indicator 3: Interpret and develop mathematical models. 6.A.3.1. Students are able to identify and graph ordered pairs in Quadrant I on a coordinate plane. 233-237, 599-603, 609 #38-#41, 614 #31-#34 Test Practice 73 #9-#20 Study Guide and Review 242, 623 Practice Test 243 #21-#25, 625 #20-#25 233b, 599b A 237; AE 234-235, 600; FMC 600; PAA 603; SQ 599 Mathematics Standards 2 Math Connects
6.A.3.2. Students are able to solve one-step problems involving ratios and rates. Example: 15 ounces costs $0.75. What does it cost for one ounce? 314-319, 322-327, 333 #29-#30, 339 #41 Math Lab 320-321 Graphing Calculator Lab 328 Mid-Chapter Quiz 340 #1-#7 Study Guide and Review 356 Practice Test 359 #1-#7 314b A 319; AE 315-316, 323-324; FMC 315; PAA 316; SQ 314, 322 Indicator 4: Describe and use properties and behaviors of relations, functions, and inverses. 6.A.4.1. Students are able to use concrete materials, graphs and algebraic statements to represent problem situations. Recognize, describe, and extend arithmetic sequences and patterns. Example: Mary has one carnation. Every day she gets 3 more carnations. On the fifth day how many carnations does Mary have? Use variables to represent given quantities in problem situations. Example: A beetle has six legs. How many legs are on n beetles? 49-53, 60 #41, 67 #36-#37, 343-348 Graphing Calculator Lab 47-48 Problem-Solving Investigation 55 #10-#12, 341-342, 662 #7, #9 Study Guide and Review 71, 357-358 Practice Test 73 AE 50, 344-345; DI 51; SQ 49, 343; TNT 51 Mathematics Standards 3 Math Connects
Indicator 1: Use deductive and inductive reasoning to recognize and apply properties of geometric figures. 6.G.1.1. Students are able to identify and describe the characteristics of triangles and quadrilaterals. Identify and describe similarities and differences of triangles: Scalene; Isosceles; Equilateral; Right; Acute; Obtuse Example: Classify each triangle by its angles. 1) 2) Sixth Grade Geometry Grade Standards, Supporting Skills, and Examples 488-491, 494-499, 502-507 Geometry Lab 485, 493, 508 Mid-Chapter Quiz 492 #13-#15 Study Guide and Review 512-514 Practice Test 515 #8-#16 A 499; AE 487-488; FMC 495; SQ 486; TNT 490, 495 50 70 30 115 35 90 40 38 72 Example: Classify each triangle by its side lengths. 1) 2) 3) 7 9 3 5 5 Identify and describe 8 similarities and differences of quadrilaterals: Trapezoid; Parallelogram; Rectangle; Rhombus; Square Example: Classify each quadrilateral 1) 2) 3 8 8 3) 4) 5) Mathematics Standards 4 Math Connects
6.G.1.2. Students are able to identify and describe angles. Identify and describe differences of angles: Acute Obtuse Right Example: What is the difference between an acute angle and an obtuse angle? 470-473, 474-478, 484 #43-#48, 491 #40-#42 Mid-Chapter Quiz 492 Study Guide and Review 510 Practice Test 515 #1-#4 470b A478; AE 471, 475; DI 473; FMC 471; SQ 470, 474 Indicator 2: Use properties of geometric figures to solve problems from a variety of perspectives. 6.G.2.1. Students are able to use basic shapes to demonstrate geometric concepts. Demonstrate lines of symmetry. Use basic shapes to demonstrate congruency (triangle, rectangle, square, parallelogram). Use basic shapes to demonstrate similarity (triangle, rectangle, square, parallelogram). Use basic shapes to demonstrate perpendicular lines (triangle, rectangle, square, trapezoid). Use basic shapes to demonstrate parallel lines (rectangles, squares, parallelograms). Identify a reflection. 11 #1, #2, 502-507, 609 #43-#46, 610-614 Study Guide and Review 514, 623-624 Practice Test 515 #15-#16, 625 Test Practice 627 #12 A 507, 611; AE 503-504, 611; FMC 611; SQ 610; Mathematics Standards 5 Math Connects
Sixth Grade Measurement Grade Standards, Supporting Skills, and Examples Indicator 1: Apply measurement concepts in practical applications. 6.M.1.1. Students are able to select, use, and convert appropriate unit of measurement for a situation. Determine elapsed time. Example: Alfredo went to the park at 11:15 a.m. and came home at 2:00 p.m. How long was he at the park? Convert length, capacity, and mass within the Metric system (kilo-, base unit, centi-, milli-). Convert weight and length within U.S. Customary system. Convert capacity within U.S. Customary system (fluid ounce, cup, pint, quart, gallon). Measure angles. 6.M.1.2. Students are able to find the perimeter and area of squares and rectangles (whole number measurements). Apply strategies and/or formulas. Use appropriate unit of measure. 418-423, 424-429, 432-436, 437-441, 445-449, 450-454, 534-538, 540-544, 548-553 Measurement Lab 430-431, 539 Mid-Chapter Quiz 444, 545 Study Guide and Review 462-464 Practice Test 465 AE 419, 438; DI 428, 435, 454; PAA 538; SQ 418, 450; TNT 433, 552 63-67, 522-526, 534-538 Algebra Lab 61 Study Guide and Review 72, 561-564 Practice Test 73, 565 Mid-Chapter Quiz 545 Teacher Edition: 63b, 534b A 67; AE 64; 535-536; FMC 64, 535; SQ 63, 534; TNT 537 Mathematics Standards 6 Math Connects
Indicator 1: Analyze the structural characteristics of the real number system and its various subsystems. Analyze the concept of value, magnitude, and relative magnitude of real numbers. 6.N.1.1. Students are able to represent fractions in equivalent forms and convert between fractions, decimals, and percents using halves, fourths, tenths, hundredths. Examples: 1) Write 2 1 as a decimal and a percent. 2) In the following equation, what value of x would make the relationship true? 2 1 = 8 x Sixth Grade Number Sense Grade Standards, Supporting Skills, and Examples 121-125, 141 #47-#52, 142-145, 219 #34-#36, 220-224, 314-319, 322-327, 329-333, 334-339, 348 #32-#35, 349-353 Study Guide and Review 241 #41-#42, 356-358 Practice Test 243 #16, 359 Graphing Calculator Lab 328, 354 Mid-Chapter Quiz 340 314b, 322b, 329b, 334b, 349b A 125, 145, 319; AE 122, 315, 323-324; FMC 323; PAA 316; SQ 121, 322 3) Choose the number that represents 4 1 : a) 0.4 b) 1.4 c) 0.14 d) 0.25 e) 2.5 Identify both standard and word forms (millions to ten- thousandths) of positive rational numbers. Identify, represent, compare, and order rational numbers and represent them on a number line. Describe and compare two numbers using ratios including appropriate notation, e.g., a:b, b a, a to b. Mathematics Standards 7 Math Connects
6.N.1.2. Students are able to find factors and multiples of whole numbers. Examples: The area of a rectangle is 24 square units. What are the possible whole number dimensions? Classify numbers as prime or composite. 28-31, 34 Ex. 4-6, #7-#9, 35 #26-#33, 36 #48-#52, 40 #36-#39,197-201, 216-219 Mid-Chapter Quiz 213 Study Guide and Review 239-240 Practice Test 243 Teacher Edition: 197b, 216b A 201, 208; AE 198-199, 217; FMC 198, 205, 217; SQ 197, 216 Indicator 2: Apply number operations with real numbers and other number systems. 6.N.2.1. Students are able to add, subtract, multiply, and divide decimals. Operations with fractions and integers. 156-160, 163-166, 169-172, 173-176, 179-183 Explore 162, 167-168, 177-178 Study Guide and Review 188 Practice Test 191 A 160, 176; AE 157, 164, 174; FMC 174; SQ 156, 163, 173; TNT 157, 166 Indicator 3: Develop conjectures, predictions, or estimations to solve problems and verify or justify the results. 6.N.3.1. Students are able to use various strategies to solve one- and two-step problems involving positive decimals. Formulate rules to solve practical problems (problem solving). Use estimation strategies to make predictions and test the reasonableness of answer. Explain strategies and justify answers. Example: Tom bought one pair of jeans for $19.95 and 2 shirts for $14.99 each. He gave the clerk $60.00. What is his change? Explain the strategy and justify the answer. 146-149, 150-154, 160 #47-#50, 249-253, 276-279, 286 #50-#53, 401-405 Mid-Chapter Quiz 161 #15-#21, 275 #1-#5 Math Lab 248 Study Guide and Review 303, 305, 410 Practice Test 307, 411 #22-#25 AE 147, 151, 250-251, 277; FMC 152, SQ 146, 150 Mathematics Standards 8 Math Connects
Indicator 1: Use statistical models to gather, analyze, and display data to draw conclusions. 6.S.1.1. Students are able to find the mean, mode, and range of an ordered set of positive data. Example: Find the mean, mode, and range of the following test scores: 72, 76, 82, 82, 87, 90, 92 Find the median. 6.S.1.2. Students are able to display data using bar and line graphs and draw conclusions from data displayed in a graph. Example: The sixth grade science class recorded the outside temperature each hour. Using the graph, answer the following questions: 1) Between what two times did the temperature increase the most? 2) Estimate the temperature at 9:30 am. Temperature on May 10 80 Sixth Grade Statistics & Probability Grade Standards, Supporting Skills, and Examples Dot Plot 102-106, 108-113, 118 #20-#22, 125 #39-#40 Spreadsheet Lab 107 Study Guide and Review 129 #23-#28 Practice Test 131 #10-#11 102b, 108b A 106; AE 103, 109-110; FMC 103; SC 102, 108 81-85, 88-91, 92-95, 96-100 Problem-Solving Investigation 78-79 Extend 86-87 Mid-Chapter Quiz 101 Study Guide and Review 126-129 Practice Test 131 81b, 88b, 92b A 95; AE 82-83, 89, 93, 97; FMC 82, 89, 97; SQ 81, 92, 96 FahrenheitTemperature 70 60 50 40 30 20 8am 9am 10am 11am 12noon 1pm 2pm 3pm Time Mathematics Standards 9 Math Connects
Indicator 2: Apply the concepts of probability to predict outcomes and solve problems. 6.S.2.1. Students are able to find the probability of a simple event. Express the result as a fraction. Example: What is the probability that the number is greater than four on a number cube labeled one through six. 381-386, 389-393, 394-398 Probability Lab 387 Mid-Chapter Quiz 388 #20-#24 Study Guide and Review 408-409 Practice Test 411 #13-#21 A 386, 398; AE 382-383; FMC 382; SQ 381 Mathematics Standards 10 Math Connects