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Minot Public Schools Math Curriculum Grade 2 Minot Public Schools Math Curriculum Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.1: Understands the characteristics and properties of our numeration system 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Recognizes, writes, and M Recognizes, writes, and shows one to one shows one to one correspondence with correspondence with numerals 0-500 (1.1.2) numerals 0-1000 (2.1.4) D Places numbers on a D Places numbers on a D Places numbers on a number number line number line line I Reads and writes numbers D Reads and writes numbers D Reads and writes numbers to 20 using standard and to 1000 using standard to 10,000 using standard word notation (1.1.7) and word notation (2.1.5) and word notation I Introduce the use of expanded notation Grade 2 Page 2 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.1: Understands the characteristics and properties of our numeration system To meet this benchmark, Level Vocabulary Suggested Activities the student … Resources or Tools Recognizes, writes, and shows one to M number Calendar one correspondence with numerals numeral Box It and Bag It activities 0-1000 (2.1.4) match Dice activities set 100’s chart zero Story problems Places numbers on a number line D number line Number line on the floor zero Time lines Reads and writes numbers to 1000 D standard notation Place value charts (see appendix) using standard and word notation word notation Periods chart (see appendix) (2.1.5) Websites (see appendix) I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 3 Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.1: Understands the characteristics and properties of our numeration system (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Shows fractions using D Shows fractions and mixed D Shows fractions and mixed objects and drawings numbers using objects numbers using objects, and drawings. drawings, standard notation and words D Demonstrates place value of D Demonstrates place value I Identifies place value from numbers through 100 of numbers through 1,000 ten thousands through the (1.1.9) (2.1.7) hundredths place (3.1.5) I Rounds numbers to 10’s D Rounds whole numbers to and 100’s. (2.1.9) the nearest 10’s, 100’s, and 1000’s Grade 2 Page 4 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.1: Understands the characteristics and properties of our numeration system (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student … Resources or Tools Shows fractions and mixed numbers D fraction North (numerator) using objects and drawings. numerator Dakota (denominator) denominator Fraction bars fraction bar Hershey Bars (see book list) Calendar Box It and Bag It AIMS-Fabulous Fractions Demonstrates place value of numbers D place value Number line through 1,000 (2.1.7) ones Place value chart tens Calendar activities hundreds Box It and Bag It thousands Rounds numbers to 10’s and 100’s. D round Rounding rules chart (2.1.9) Place value chart Number line Calendar I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 5 Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.2: Renames, orders, and compares numbers 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Counts and orders numbers D Counts and orders numbers D Counts and orders numbers 0-500 (1.1.1) 0-1,000 (2.1.1) 0-10,000 (3.1.1) D Counts backward from M Counts backward from 50-1 (1.1.3) 100-1 (2.1.2) I Identifies odd and even D Identifies odd and even D Identifies and applies odd numbers by using numbers to 1,000 (2.1.6) and even numbers to concrete objects or 10,000 (3.1.4) drawings Grade 2 Page 6 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.2: Renames, orders, and compares numbers To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Counts and orders numbers 0-1,000 D order Place value chart (2.1.1) before Mystery number after Calendar between 100’s chart Counts backward from 100-1 (2.1.2) M backwards Calendar Box It and Bag It Number chart 100’s chart Identifies odd and even numbers to D odd Calendar 1,000 (2.1.6) even Number chart 100’s chart Box It and Bag It Zero the Hero Two colored disc I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 7 Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.2: Renames, orders, and compares numbers (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Identifies position using D Identifies position using D Identifies position using ordinal numbers 1st ordinal numbers 1st ordinal numbers 1st through 10th (1.1.6) through 31st through 100th D Compares sets of 2 digit D Compares whole numbers D Compares and orders objects for greater or less up to 1000 using objects and numerals to using appropriate appropriate symbols 10,000 using appropriate symbols (<,>,=) (1.1.10) (<,,>,=) (2.1.8) symbols (<, >, =) (3.1.6) D Groups and counts objects M Counts by 2’s to 20, 5’s by 2’s to 20, 5’s and 10’s and 10’s to 100. (2.1.3) to 100 (1.1.4; 1.1.5) Grade 2 Page 8 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.2: Renames, orders, and compares numbers (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Identifies position using ordinal D ordinal Standing in line numbers 1st through 31st Calendar Compares whole numbers up to 1000 D greater than > Graphs using appropriate symbols (<, >, =) less than < The opening of the symbol always opens to the (2.1.8) equal to = larger number. symbol Counts by 2’s to 20, 5’s and 10’s to M Number line 100 (2.1.3) 100’s chart Chains Tally marks Calendar I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 9 Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers, fractions, and decimals 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Recognizes and interprets D Recognizes and interprets D Recognizes and interprets symbols +, -, = symbols +, -, = symbols +, –, =, x, ÷ (1.1.12) I Uses grade appropriate D Uses grade appropriate D Uses grade appropriate terminology when terminology when terminology when communicating about communicating about communicating about addition and subtraction addition and subtraction addition and subtraction (1.1.11) (2.1.10) I Uses grade appropriate terminology when communicating about multiplication and division (3.1.7) Grade 2 Page 10 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers, fractions, and decimals To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Recognizes and interprets symbols +, -, = D addition + Word-A Day subtraction - Box It and Bag It plus/add The Doorbell Rang by Pat Hutchins minus/take away AIMS math activities equals = Uses grade appropriate terminology when D addends Word-A Day communicating about addition and sum - addition “Double trouble” subtraction (2.1.10) difference - subtraction I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 11 Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers, fractions, and decimals (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Uses manipulatives to D Uses manipulatives to D Applies fact families in explore fact families in explore fact families in addition and subtraction addition and subtraction addition and subtraction through 18 through 18 through 18 (2.1.13) I Adds and subtracts to 18 D Recalls addition and M Recalls addition & using manipulatives subtraction facts to 18 subtraction facts to 18 (2.1.16) I Recalls addition and subtraction facts to 10 (1.1.13) I Adds and subtracts 2 digit D Adds and subtracts 2 digit D Adds and subtracts numbers whole numbers without whole numbers with & (3-5 digits) that require regrouping without regrouping regrouping (3.1.13) (2.1.15) Grade 2 Page 12 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers, fractions, and decimals (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Uses manipulatives to explore fact D fact family Fact family families in addition and subtraction Snap Cube activities through 18 (2.1.13) Recalls addition and subtraction facts to D Base Ten Blocks 18 (2.1.16) AIMS Math Activities Math Facts in a Flash (computer program) Turbo Math Adds and subtracts 2 digit whole numbers D digit Base ten blocks with & without regrouping (2.1.15) regrouping whole number I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 13 Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers, fractions, and decimals (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Estimates whole numbers D Estimates whole number sums and differences sums, differences, and (2.1.17) products I Explores relationships between multiplying and dividing within fact families/ inverse operations (3.1.18) I Demonstrates the D Models and uses the I Models and uses properties commutative property for addition property of 0 and of addition and addition (order property) the commutative property multiplication (3.1.14; of addition 3.1.15) I Models repeating addition I Models, represents, and using equal sets of explains the concept of objects (2.1.14) multiplication and division (3.1.10; 3.1.11) Grade 2 Page 14 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers, fractions, and decimals (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Estimates whole numbers sums and I estimate differences (2.1.17) Models and uses the Identity Property of D Identity Property Commute means to move. The Addition and the Commutative Property of Addition Commutative Property means the of Addition Commutative numbers move in the mathematical Property sentence. (3+4=4+3) Identity Property of Addition 4+0 = 4 Models repeating addition using equal I repeating addition Skip counting sets of objects (2.1.14) Rectangular arrays I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 15 Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers, fractions, and decimals (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Uses grade appropriate D Uses grade appropriate D Uses grade appropriate terminology when terminology when terminology when communicating about communicating about communicating about fractions fractions fractions I Recognizes fractions D Recognizes fractions as part D Represents fractions and mixed 1/2,1/3,1/4 as part of a of a whole and part of a set numbers, using words, whole and part of a set (2.1.11) numerals, and physical (1.1.8) models (3.1.9) Grade 2 Page 16 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers, fractions, and decimals (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Uses grade appropriate terminology when D numerator North numerator communicating about fractions denominator Dakota denominator fraction bar Math notebooks/journals Word-A Day Recognizes fractions as part of a whole D whole Draw pictures/models and part of a set (2.1.11) 1/2 one half Apple math 1/3 one third Overhead shapes 1/4 one fourth Fraction bars/circles 1/6 one sixth Geo-boards 1/8 one eighth Pattern blocks AIMS Math Activities Egg Cartons I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 17 Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.4: Uses strategies to solve a wide variety of problems which may include real world experiences 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Uses strategies for solving D Uses strategies for solving D Chooses and explains problems problems strategies for solving problems (3.1.12) I Uses a variety of estimation D Uses a variety of estimation D Uses a variety of estimation strategies strategies strategies involving whole numbers, products, and quotients (3.1.21) Grade 2 Page 18 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.4: Uses strategies to solve a wide variety of problems which may include real world experiences To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Uses strategies for solving problems D Strategy Manipulatives Draw a picture Otter Creek Institute class Guess and check Oral and written explanations Work backwards Identify the unneeded information either Make a chart or graph too much information or not enough Solve a simpler information. related problem Write the mathematical sentence needed Act it out for a problem. Make a model Take a mathematical sentence and create Estimate a story problem. Choose the correct answer from a list of possible answers (multiple choice) Uses a variety of estimation strategies D rounding Estimation jars Estimate how many steps there are in a mile. Then put on a pedometer and walk for a mile. School wide estimation activities I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 19 Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.4: Uses strategies to solve a wide variety of problems, which may include real world experiences (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Knows when to use addition D Knows when to use addition D Selects correct operation, and subtraction to solve and subtraction to solve solves, and labels story story problems story problems (2.1.12) problems I Uses estimation to determine D Uses estimation to determine D Uses estimation to determine if solutions are reasonable if solutions are reasonable if solutions are reasonable (3.1.22) I Knows when an estimate is D Knows when an estimate is D Knows when an estimate is close enough close enough close enough Grade 2 Page 20 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 1: Students understand and use basic and advanced concepts of numbers and number systems. Benchmark 1.2.4: Uses strategies to solve a wide variety of problems which may include real world experiences (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Knows when to use addition and D story/word problems Draw pictures/models subtraction to solve story problems how many more Problem of the Day/Week (2.1.12) altogether are left in all more less total about not enough information Uses estimation to determine if D reasonable Estimate and solve solutions are reasonable Knows when an estimate is close D close enough Estimate and solve enough I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 21 Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations. Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships between two and three-dimensional figures 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Understands and applies D Understands and applies D Understands and applies grade appropriate grade appropriate grade appropriate terminology terminology terminology I Uses manipulatives to D Predicts and demonstrates D Predicts and demonstrates verify predictions of the results of putting the results of putting combining shapes together and taking apart together and taking apart shapes (2.2.3) shapes Grade 2 Page 22 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations. Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships between two and three-dimensional figures To meet this benchmark, Level Vocabulary Suggested Activities the student … Resources or Tools Understands and applies grade D geometry Math journal/notebook appropriate terminology mathematics Word-A Day spatial relationships Pass the Pocket Game (DPI website) Predicts and demonstrates the results D pattern blocks Pattern blocks of putting together and taking apart geo-boards Geo-boards shapes (2.2.3) tangrams Tangrams I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 23 Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations. Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships between two and three-dimensional figures (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Identifies, compares, draws D Explains the physical D Compares the physical and sorts two- attributes of two- attributes of two- dimensional figures dimensional figures dimensional figures (1.2.1) Uses vocabulary to describe them (3.2.1) D Identifies three-dimensional D Identifies, describes, and D Describes the physical figures with its stated sorts three-dimensional attributes of three- name (1.2.2) figures (2.2.2) dimensional figures Uses vocabulary to describe them (3.2.2) Grade 2 Page 24 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations. Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships between two and three-dimensional figures (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student … Resources or Tools Explains the physical attributes of D shape oval Shape Art projects two-dimensional figures size rectangle Size circle rhombus Number of corners square Number of sides triangle Tangrams number of corners Pattern blocks number of sides Geo-boards Attribute blocks Identifies, describes, and sorts three- D pyramid Geometric solids dimensional figures (2.2.2) cube sphere rectangular prism cone cylinder I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 25 Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations. Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships between two and three-dimensional figures (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Identifies symmetrical D Identifies symmetrical D Identifies and creates shapes and identifies lines shapes and draws the figures that have line of symmetry in two- lines of symmetry symmetry and draws the dimensional figures (2.2.4) lines of symmetry (3.2.6) (1.2.3) I Identifies congruent figures D Identifies two-dimensional from a selection of figures that are either similar figures (2.2.5) congruent or similar (3.2.7) I Introduces the changes in position and orientation of two-dimensional figures after transformation Grade 2 Page 26 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations. Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships between two and three-dimensional figures (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student … Resources or Tools Identifies symmetrical shapes and D symmetry Mirror Cards draws the lines of symmetry two-dimensional AIMS math activities (2.2.4) Art projects String art Line designs Tessellations Identifies congruent figures from a I congruent Tessellations selection of similar figures (2.2.5) AIMS math activities I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 27 Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations. Benchmark 2.2.2: Understands that geometry is found within and outside of mathematics 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Arranges and describes M Arranges and describes objects in space by objects in space by position and direction position and direction (1.2.4) I Identifies geometric shapes D Recognizes geometric M Recognizes geometric in the surrounding world shapes and structures in shapes and structures in their environment their environment (2.2.1) Grade 2 Page 28 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations. Benchmark 2.2.2: Understands that geometry is found within and outside of mathematics To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Arranges and describes objects in M around up Art projects space by position and direction straight top String Art down bottom Line designs across in front AIMS math activities above behind below middle between left next to right Recognizes geometric shapes and D circle/clock Find geometric shapes in the structures in their environment triangle/pine tree environment. (2.2.1) I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 29 Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations.. Benchmark 2.2.3: Knows the components of the coordinate plane 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … No expectations at this level No expectations at this I Uses ordered pairs to level identify the locations of points on a grid (3.2.5) Grade 2 Page 30 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations. Benchmark 2.2.3: Knows the components of the coordinate plane To meet this benchmark Level Vocabulary Suggested Activities The student will . . . Resources or Tools No expectations at this level I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 31 Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations. Benchmark 2.2.4: Determines perimeter, circumference, and area in two-dimensions and surface area and volume in three-dimensions 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … No expectations at this level No expectations at this I Explores perimeter of any level quadrilateral No expectations at this level No expectations at this I Explores area of level quadrilaterals Grade 2 Page 32 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 2: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations. Benchmark 2.2.4: Determines perimeter, circumference, and area in two-dimensions, and surface, area, and volume in three-dimensions To meet this benchmark, Level Vocabulary Suggested Activities the student will . . . Resources or Tools No expectations at this level I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 33 Grade 2 Standard 3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems. Benchmark 3.2.1: Collects, reads, displays, and interprets data using appropriate techniques 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Sorts objects by several D Sorts and classifies objects D Recognizes the elements in common attributes (1.3.3) according to their the union and attributes and organizes intersections of sets the data about the objects represented by Venn (2.3.1) diagrams (3.3.4) I Identifies different parts of a D Identifies different parts of D Identifies different parts of a graph a graph graph (3.3.1) D Identifies and displays D Displays and interprets D Displays and interprets various forms of data in graphs with symbols or graphs with symbols or their world using charts pictures that represent pictures that represent and graphs (1.3.1) more than one object or more than one object or event event (3.3.2) I Demonstrates that data can D Chooses best graph for a be represented in more given set of data than one way (2.3.2) Grade 2 Page 34 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems. Benchmark 3.2.1: Collects, reads, displays, and interprets data using appropriate techniques To meet this benchmark, Level Vocabulary Suggested Activities the student … Resources or Tools Sorts and classifies objects according D Venn diagram Attribute blocks to their attributes and organizes the graph Class/school wide graphing activities data about the objects (2.3.1) attribute table common Identifies different parts of a graph D title Graph the same data in a variety of ways. key/legend Math notebooks/journals grid box Flash cards data Displays and interprets graphs with D tally chart Survey class and construct a class graph. symbols or pictures that represent tally mark more than one object or event bar graph pictograph line graph circle graph Demonstrates that data can be I data represented in more than one way tally chart (2.3.2) tally mark bar graph pictograph line graph circle graph I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 35 Grade 2 Standard 3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems. Benchmark 3.2.2: Formulates and solves problems that involve data 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Discusses and interprets M Discusses and interprets patterns in daily events patterns in daily events D Reads and interprets tally D Formulates and answers D Solves problems based on charts and picture graphs simple questions from data displayed on a graph as sources of information data represented by (3.3.3) (1.3.2) graphs (2.3.3) Grade 2 Page 36 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems. Benchmark 3.2.2: Formulates and solves problems that involve data To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Discusses and interprets patterns in M patterns Calendar daily events increasing Theme units decreasing repeating Formulates and answers simple D data Estimation jars questions from data represented by formulates Tally charts graphs (2.3.3) Picture graphs I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 37 Grade 2 Standard 3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems. Benchmark 3.2.3: Draws conclusions and makes predictions based on probability from collected data 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Explores concepts of likely D Describes the likelihood of D Determines which outcomes and unlikely an event (2.3.5) are most likely to occur in certain situations (3.3.6) I Records results of activities D Uses a simple probability involving chance and experiment to collect and makes reasonable display data on a graph, predictions based upon and interpret the data (2.3.4) likelihood of the outcome (3.3.5) Grade 2 Page 38 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems. Benchmark 3.2.3: Draws conclusions and makes predictions based on probability from collected data To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Describes the likelihood of an event D probability Cloudy/it may rain (2.3.5) predictions Coin toss analyze Bag draw Card draw Roll dice Spinners AIMS math activities Records results of activities involving I probability Coin flips chance and makes reasonable Dice rolls predictions based upon data (2.3.4) Draw colors out of a bag Spinners AIMS math activities I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 39 Grade 2 Standard 3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems. Benchmark 3.2.4: Uses technology and materials as tools to display data 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Constructs own graph D Constructs own graph D Constructs own graph Grade 2 Page 40 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems. Benchmark 3.2.4: Uses technology and materials as tools to display data To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Constructs own graph D Graph It (MPS computer program) Graph Master (MPS computer program) I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 41 Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.1: Uses the appropriate concepts, measurement units, and tools to estimate and/or solve problems 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Compares and orders D Compares and orders M Compares and orders objects according to their objects according to their objects according to their length and weight using length and weight using length and weight using –er and -est –er and -est –er and –est I Recognizes and uses D Selects the appropriate D Selects the appropriate tools various kinds of rulers, tools and units for and units for measuring scales, clocks, calendars, measuring time, length, time, length, weight, and thermometers (1.4.9) weight and temperature capacity and temperature (2.4.11) (3.4.8) Grade 2 Page 42 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.1: Uses the appropriate concepts, measurement units, and tools to estimate and/or solve problems To meet this benchmark, Level Vocabulary Suggested Activities the student … Resources or Tools Compares and orders objects D -er length according to their length and weight -est weight using –er and -est tall/short large/small heavy/light thin/thick/width empty/full Selects the appropriate tools and units D hour yard Hands on activities for measuring time, length, weight, minute ounce AIMS math activities and temperature (2.4.11) ruler pound Box It and Bag It scale degree inch foot yardstick meter stick analog clock digital clock balance scale thermometer I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 43 Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.1: Uses the appropriate concepts, measurement units, and tools to estimate and/or solve problems (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Identifies the approximate D Identifies the approximate size of basic units size of basic units (2.4.10) Grade 2 Page 44 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.1: Uses the appropriate concepts, measurement units, and tools to estimate and/or solve problems (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student … Resources or Tools Identifies the approximate size of I inch Width of finger is about one centimeter, basic units foot Large soda bottle is one liter (2.4.10) yard Paper clip weighs one gram centimeter meter gram I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 45 Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.2: Uses estimation strategies in working with quantities and measurement computation 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Estimates and verifies a D Estimates and verifies a D Estimates and verifies a quantity quantity (2.4.8) quantity D Estimates and verifies by D Estimates and verifies by D Estimates and verifies by measuring length, weight, measuring length, measuring length, weight, or capacity using non- weight, or capacity using or capacity using non- standard units (1.4.3) non-standard units standard units I Estimates and verifies by D Estimates and measures D Estimates and measures measuring length to the length to the nearest length to the nearest half nearest inch, foot, or inch, half inch, foot, or inch or centimeter (3.4.5) centimeter (1.4.4) centimeter (2.4.7) Grade 2 Page 46 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.2: Uses estimation strategies in working with quantities and measurement computation To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Estimates and verifies a quantity D Guess and check Marbles in a jar (2.4.8) quantity Use a variety of estimation jars Estimates and verifies by measuring D non-standard unit AIMS math activities length, weight, or capacity using measure Box It and Bag It non-standard units length Science activities weight capacity Estimates and measures length to the D ruler Use rulers to measure nearest inch, half inch, foot, or inch centimeter (2.4.7) foot centimeter I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 47 Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.2: Uses estimation strategies in working with quantities and measurement computation (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Estimates and measures D Estimates and measures weight/mass to the weight/mass to the nearest nearest pound or pound or kilogram kilogram (2.4.5) I Estimates and measures D Estimates and measures capacity/volume to the capacity/volume to the nearest cup or liter nearest cup or liter (2.4.6) I Estimates and measures perimeter, area, and volume (3.4.7) Grade 2 Page 48 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.2: Uses estimation strategies in working with quantities and measurement computation (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Estimates and measures weight/mass I weight Science activities to the nearest pound or kilogram mass (2.4.5) pound kilogram Estimates and measures I cup Power solids capacity/volume to the nearest cup liter or liter (2.4.6) volume I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 49 Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Relates calendar and D Relates calendar and D Relates calendar and weather to everyday life weather to everyday life weather to everyday life and our environment and our environment and our environment M Orders pictures first, next, and last based on time D Understands what’s M Understands what’s occurring before, now, occurring before, now, and after in relation to and after in relation to classroom routine classroom routine Grade 2 Page 50 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Relates calendar and weather to D night week Calendar everyday life and our environment today month Weather Bear year Graphs weather Use a thermometer to measure temperatures calendar several times and graph the change. morning seasons afternoon yesterday tomorrow before/after environment Understands what’s occurring before, M before Use picture schedules now, and after in relation to future Calendar classroom routine after Use a clock with pictures past between present now I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 51 Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Sequences events with M Sequences events with respect to time (1.4.8) respect to time D Names the days of the week M Distinguishes between in order week days and week-end days (2.4.2) D Uses the days of the week to M Uses the days of the week show knowledge of to show knowledge of yesterday, today, and yesterday, today, and tomorrow (1.4.1) tomorrow (1.4.1) D Names the months of the M Recalls the months of the year in order year in order (2.4.3) Grade 2 Page 52 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Sequences events with respect to time M yesterday Calendar today tomorrow seasons Distinguishes between week days and M week-end Songs week-end days (2.4.2) Calendar Uses the days of the week to show M Calendar knowledge of yesterday, today, and Graphs tomorrow Recalls the months of the year in M Songs order (2.4.3) Calendar Graphs I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 53 Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Identifies parts of an analog M Identifies parts of an clock analog clock D Tells time to the hour and D Tells time to the nearest M Tells time to the nearest half hour using analog quarter hour and five minute using digital and and digital clocks (1.4.2) minute intervals using analog clocks (3.4.1) digital and analog clocks (2.4.1) I Determines elapsed time by the hour (3.4.2) Grade 2 Page 54 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Identifies parts of an analog clock M analog clock Math notebooks/journals face Vocabulary cards hour hand minute hand numerals Tells time to the nearest quarter hour D digital clock Paper plates (yellow/blue) and five minute intervals using hour Cereal/Fruit Loops digital and analog clocks (2.4.1) half hour quarter hour interval o’clock morning/am afternoon/pm I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 55 Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Identifies a penny, nickel, D Identifies a penny, nickel, M Identifies a penny, nickel, dime and quarter and dime, and quarter and dime, and quarter and states the value of each states the value of each states the value of each using the cent sign (1.4.5) using the cent sign using the cent sign I Counts a like set of pennies, D Counts mixed coins to one D Counts coins and bills to ten nickels, dimes, and dollar using the dollar dollars (3.4.3) quarters to $1.00 and cent signs (2.4.4; (1.4.6) 2.4.12) I Demonstrates that different D Demonstrates that D Demonstrates that different combinations of coins different combinations of combinations of coins have the same value coins have the same have the same value (1.4.7) value I Explores decimals using D Explores decimals using money money Grade 2 Page 56 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Identifies a penny, nickel, dime, and D penny Math notebooks/journals quarter and states the value of each nickel Word Cards using the cent sign dime Use realistic play money quarter Bulletin boards coin cent (¢) value Counts mixed coins to one dollar D dollar ($) Use realistic play money using the dollar and cent signs decimal Set up a classroom store (2.4.4; 2.4.12) Box It and Bag It Demonstrates that different D equivalent Set up a classroom store combinations of coins have the Box It and Bag It same value Explores decimals using money I decimal 25¢=$.25 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 57 Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Reads and measures D Reads and measures temperature with a temperature with a thermometer using thermometer using Fahrenheit Fahrenheit and Celsius scales (3.4.4) I Compares and orders D Compares and orders lengths, capacities, lengths, capacities, weights, or temperatures weights, or temperatures that are expressed in the that are expressed in the same unit of measure same unit of measure (2.4.9) I States the specific relationships between units within the same measuring system (3.4.6) Grade 2 Page 58 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Reads and measures temperature with I Fahrenheit Use a classroom thermometer a thermometer using Fahrenheit degree Compares and orders lengths, I length Science activities capacities, weights, or temperatures capacity AIMS math activities that are expressed in the same unit volume Box It and Bag It of measure (2.4.9) weight temperature metric system customary system I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 59 Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.) 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Recognizes that all D Recognizes that all D Recognizes that all measurement is measurement is measurement is approximate approximate approximate I Estimates frequently to gain D Estimates frequently to D Estimates frequently to gain basic knowledge of gain basic knowledge of basic knowledge of measurement systems measurement systems measurement systems Grade 2 Page 60 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.) To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Recognizes that all measurement is D approximate approximate about Estimates frequently to gain basic D frequently Box It and Bag It knowledge of measurement often AIMS math activities systems metric customary I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 61 Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.4: Uses formulas and procedures to solve problems involving measurement 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … No expectations at this level No expectations at this level No expectations at this level Grade 2 Page 62 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 4: Students use concepts and tools of measurement to describe and quantify the world. Benchmark 4.2.4: Uses formulas and procedures to solve problems involving measurement To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools No expectations at this level I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 63 Grade 2 Standard 5: Students use algebraic concepts, functions, patterns, and relationships to solve problems. Benchmark 5.2.1: Represents and describes mathematical relationships using symbols or variables 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Uses symbols to write D Uses symbols to write D Uses symbols to write simple number sentences simple number sentences simple number sentences (2.5.4) (3.5.5) I Uses words and objects to D Uses words, objects and D Uses words, objects, and represent addition and number sentences to number sentences to subtraction problems represent addition and represent addition and subtraction problems subtraction problems (2.5.5) Grade 2 Page 64 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 5: Students use algebraic concepts, functions, patterns, and relationships to solve problems. Benchmark 5.2.1: Represents and describes mathematical relationships using symbols or variables To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Uses symbols to write simple number D add + sentences (2.5.4) subtract – equal = greater than > less than < number sentence Uses words, objects, and number D Write a mathematical sentence and create a sentences to represent addition and story problem (3+4=7) subtraction problems (2.5.5) Write a mathematical sentence for a story problem . I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 65 Grade 2 Standard 5: Students use algebraic concepts, functions, patterns, and relationships to solve problems. Benchmark 5.2.2: Solves problems with unknown variables 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … I Solves addition and D Solves addition and D Solves addition, subtraction, subtraction equations subtraction equations multiplication, and with variables with unknown numbers division equations with (variables) (2.5.3) unknown numbers (variables) (3.5.4) Grade 2 Page 66 I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Standard 5: Students use algebraic concepts, functions, patterns, and relationships to solve problems. Benchmark 5.2.2: Solves problems with unknown variables To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Solves addition and subtraction D variables Hands On Equations equations with unknown numbers equation Missing addends using a variety of symbols to (variables) (2.5.3) represent the variable (?, x, n) Otter Creek Institute class I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 67 Grade 2 Standard 5: Students use algebraic concepts, functions, patterns, and relationships to solve problems. Benchmark 5.2.3: Finds, represents, describes, and analyzes patterns, functions, and relationships 1 To meet this benchmark, 2 To meet this benchmark, 3 To meet this benchmark, a Grade 1 student … a Grade 2 student … a Grade 3 student … D Identifies, sorts, and D Identifies, sorts, and M Identifies, sorts, and classifies objects by 2 or classifies objects by 2 or classifies objects by 2 or more attributes (1.5.1) more attributes more attributes D Recognizes, extends, creates D Extends and creates D Determines the missing and describes patterns number patterns (2.5.1) element of a pattern of (1.5.2) multiples (3.5.3) I Demonstrates the D Demonstrates the Found in Standard 1 commutative property for commutative property for addition (1.5.3) addition I States the rule that D States the rule that describes describes a given given repeating and repeating and growing growing pattern to solve pattern (2.5.2) problems. (3.5.1;3.5.2) Grade 2 Page 68 I=Introduce D= Develop (with assistance) M=Mastery Standard 5: Students use algebraic concepts, functions, patterns, and relationships to solve problems. Benchmark 5.2.3: Finds represents, describes, and analyzes patterns, functions, and relationships To meet this benchmark, Level Vocabulary Suggested Activities the student . . . Resources or Tools Identifies, sorts, and classifies objects D attribute Manipulatives by 2 or more attributes classify Junk Box sort M&M’s similar Attribute blocks different same/alike Extends and creates number patterns D pattern Manipulatives (2.5.1) increasing Junk Box decreasing M&M’s repeating Demonstrates the commutative D order property Fact families property for addition commutative property States the rule that describes a given I Patterning examples repeating and growing pattern 2, 4, 6, ___, ___, ____ (2.5.2) 7, 14, 21, ____, ____, ____ I=Introduce D= Develop (with assistance) M=Mastery Grade 2 Page 69