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Mathematics Toolkit
Curriculum Guidance Materials & Resources
Template for Analysis of Mathematics Programs/Series
March 2005
| Grade 2 - Performance Indicators Process Strands |
Does the program/series support the development of the process/content in the performance indicator? | Are additional resources needed? | At what grade level is the indicator addressed? | Is the concept newly introduced this year? |
| 2.PS.1 Explore, examine, and make observations about a social problem or mathematical situation | ||||
| 2.PS.2 Interpret information correctly, identify the problem, and generate possible solutions | ||||
| 2.PS.3 Act out or model with manipulatives activities involving mathematical content from literature and/or story telling | ||||
| 2.PS.4 Formulate problems and solutions from everyday situations (e.g.,counting the number of children in the class or using the calendar to teach counting) | ||||
| 2.PS.5 Use informal counting strategies to find solutions | ||||
| 2.PS.6 Experience teacher-directed questioning process to understand problems | ||||
| 2.PS.7 Compare and discuss ideas for solving a problem with teacher and/or students to justify their thinking | ||||
| 2.PS.8 Use manipulatives (e.g., tiles, blocks) to model the action in problems | ||||
| 2.PS.9 Use drawings/pictures to model the action in problems | ||||
| 2.PS.10 Explain to others how a problem was solved, giving strategies and justifications | ||||
| 2.RP.1 Understand that mathematical statements can be true or false | ||||
| 2.RP.2 Recognize that mathematical ideas need to be supported by evidence | ||||
| 2.RP.3 Investigate the use of knowledgeable guessing as a mathematical tool | ||||
| 2.RP.4 Explore guesses, using a variety of objects and manipulatives | ||||
| 2.RP.5 Justify general claims, using manipulatives | ||||
| 2.RP.6 Develop and explain an argument verbally or with objects | ||||
| 2.RP.7 Listen to and discuss claims other students make | ||||
| 2.RP.8 Use trial and error strategies to verify claims | ||||
| 2.CM.1 Understand how to organize their thought processes | ||||
| 2.CM.2 Verbally support their reasoning and answer | ||||
| 2.CM.3 Share mathematical ideas through the manipulation of objects, drawings, pictures, charts, and symbols in both written and verbal explanations | ||||
| 2.CM.4 Listen to solutions shared by other students | ||||
| 2.CM.5 Formulate mathematically relevant questions | ||||
| 2.CM.6 Use appropriate mathematical terms, vocabulary, and language | ||||
| 2.CN.1 Recognize the connections of patterns in their everyday experiences to mathematical ideas | ||||
| 2.CN.2 Understand and use the connections between numbers and the quantities they represent to solve problems | ||||
| 2.CN.3 Compare the similarities and differences of mathematical ideas | ||||
| 2.CN.4 Understand how models of situations involving objects, pictures, and symbols relate to mathematical ideas | ||||
| 2.CN.5 Understand meanings of operations and how they relate to one another | ||||
| 2.CN.6 Understand how mathematical models represent quantitative relationships | ||||
| 2.CN.7 Recognize the presence of mathematics in their daily lives | ||||
| 2.CN.8 Recognize and apply mathematics to solve problems | ||||
| 2.CN.9 Recognize and apply mathematics to objects, pictures, and symbols | ||||
| 2.R.1 Use multiple representations including verbal and written language, acting out or modeling a situation, drawings, and/or symbols as representations | ||||
| 2.R.2 Share mental images of mathematical ideas and understandings | ||||
| 2.R.3 Use standard and nonstandard representations | ||||
| 2.R.4 Connect mathematical representations with problem solving | ||||
| 2.R.5 Use mathematics to show and understand physical phenomena (e.g., estimate and represent the number of apples in a tree) | ||||
| 2.R.6 Use mathematics to show and understand social phenomena (e.g., count and represent sharing cookies between friends) | ||||
| 2.R.7 Use mathematics to show and understand mathematical phenomena (e.g., draw pictures to show a story problem, or show number value using fingers on your hand) |
| Grade 2 - Performance Indicators Content Strands |
Does the program/series support the development of the process/content in the performance indicator? | Are additional resources needed? |
At what grade level is the indicator addressed? | Is the concept newly introduced this year? |
| 2.N.1 Skip count to 100 by 2’s, 5’s, 10’s | ||||
| 2.N.2 Count back from 100 by 1’s, 5’s, 10’s using a number chart | ||||
| 2.N.3 Skip count by 3’s to 36 for multiplication readiness | ||||
| 2.N.4 Skip count by 4’s to 48 for multiplication readiness | ||||
| 2.N.5 Compare and order numbers to 100 | ||||
| 2.N.6 Develop an understanding
of the base ten system: 10 ones = 1 ten 10 tens = 1 hundred 10 hundreds = 1 thousand |
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| 2.N.7 Use a variety of strategies to compose and decompose two-digit numbers | ||||
| 2.N.8 Understand and use the commutative property of addition | ||||
| 2.N.9 Name the number before and the number after a given number, and name the number(s) between two given numbers up to 100 (with and without the use of a number line or a hundreds chart) | ||||
| 2.N.10 Use and understand verbal ordinal terms | ||||
| 2.N.11 Read written ordinal terms (first through ninth) and use them to represent ordinal relations | ||||
| 2.N.12 Use zero as the identity element for addition | ||||
| 2.N.13 Recognize the meaning of zero in the place value system (0-100) | ||||
| 2.N.14 Use concrete materials to justify a number as odd or even | ||||
| 2.N.15 Determine sums and differences of number sentences by various means (e.g., families, related facts, inverse operations, addition doubles, and doubles plus one) | ||||
| 2.N.16 Use a variety of strategies to solve addition and subtraction problems using one- and two-digit numbers with and without regrouping | ||||
| 2.N.17 Demonstrate fluency and apply addition and subtraction facts up to and including 18 | ||||
| 2.N.18 Use doubling to add 2-digit numbers | ||||
| 2.N.19 Use compensation to add 2-digit numbers | ||||
| 2.N.20 Develop readiness for multiplication by using repeated addition | ||||
| 2.N.21 Develop readiness for division by using repeated subtraction, dividing objects into groups (fair share) | ||||
| 2.N.22 Estimate the number in a collection to 100 and then compare by counting the actual items in the collection | ||||
| 2.A.1 Use the symbols <, >, = ( with and without the use of a number line) to compare whole numbers up to 100 | ||||
| 2.A.2 Describe and extend increasing or decreasing (+,-) sequences and patterns (numbers or objects up to 100) | ||||
| 2.G.1 Experiment with slides, flips, and turns to compare two-dimensional shapes | ||||
| 2.G.2 Identify and appropriately name, two-dimensional shapes: circle, square, rectangle, and triangle (both regular and irregular) | ||||
| 2.G.3 Compose (put together) and decompose (break apart) two-dimensional shapes | ||||
| 2.G.4 Group objects by like properties | ||||
| 2.G.5 Explore and predict the outcome of slides, flips, and turns of two-dimensional shapes | ||||
| 2.G.6 Explore line symmetry | ||||
| 2.M.1 Use non-standard and standard units to measure both vertical and horizontal lengths | ||||
| 2.M.2 Use a ruler to measure standard units (including whole inches and whole feet) | ||||
| 2.M.3 Compare and order objects according to the attribute of length | ||||
| 2.M.4 Recognize mass as a qualitative measure (e.g., Which is heavier? Which is lighter?) | ||||
| 2.M.5 Compare and order objects, using lighter than and heavier than | ||||
| 2.M.6 Know and recognize coins (penny, nickel, dime, quarter) and bills ($1, $5, $10, and $20) | ||||
| 2.M.7 Recognize the whole dollar notation as $1, etc. | ||||
| 2.M.8 Identify equivalent combinations to make one dollar | ||||
| 2.M.9 Tell time to the half hour and five minutes, using both digital and analog clocks | ||||
| 2.M.10 Select and use standard (customary) and non-standard units to estimate measurements | ||||
| 2.S.1 Formulate questions about themselves and their surroundings | ||||
| 2.S.2 Collect and record data (using tallies) related to a question | ||||
| 2.S.3 Display data in pictographs and bar graphs using concrete objects or a representation of the object | ||||
| 2.S.4 Compare and interpret data in terms of describing quantity (similarity and differences) | ||||
| 2.S.5 Discuss conclusions and make predictions from graphs |