Maths Grade 2

PAN-ASIA MATHEMATICS: GRADE 2

Number Sense and Operations:

Standard One: Students will engage in problem solving, communicating, reasoning, connecting and representing.

Benchmarks:

Read, write, and sequence numbers up to 100.
Demonstrate knowledge of the structure and patterns of our number system from 1 to 100.
Use landmark numbers such as 10, 25, and 100.
Identify and distinguish among multiple uses of number.
Identify uses of numbers in the world.
Identify and represent common fractions.
Construct arrays to represent numbers and identify halves of the arrays.
Describe fractional parts of an array both numerically and visually.
Construct an array and divide into thirds or fourths.
Compare whole numbers.
Use the 100 chart as a tool for combining and comparing numbers.
Compare numbers to 100.
Identify coin values and equivalencies.
Combine different coins to make 5 baht, 10 baht.
Recognize coins: satang, one baht, two baht, five baht, ten baht.
Know multiplication facts through 6 x 6.
Use money as a model for counting by 5’s and 10’s.
Use coins as a model for adding and subtracting multiples of 5 and 10.
Demonstrate an understanding of various meanings of addition and subtraction.
Write several equations for a given number.
Understand the concept of addition.
Understand the concept of subtraction as “take away”, comparison, and unknown change.
Match addition and subtraction notations to situations they could represent.
Identify and use standard notation for addition and subtraction.
Can choose from a variety of strategies based on the numbers given in a problem.
Understand and use the inverse relationship between addition and subtraction.
Use knowledge of addition and subtraction pairs.
Know addition combinations to 10 and use them to solve problems.
Know combinations of 10.
Know doubles combinations and doubles +1 combinations.
Demonstrate the ability to add and subtract two-digit numbers accurately and efficiently.
Accurately add double-digit plus single digit number.
Accurately subtract a single-digit number from a double-digit number.
Accurately add two-digit numbers.
Accurately subtract two-digit numbers.

Geometry

Standard Two: Students will engage in problem solving, communicating, reasoning, connecting and representing as they:

Benchmarks:

Describe attributes and compare 2-D and 3-D shapes.
Sort, describe, and identify 2-D and 3-D shapes.
Compose and decompose 2-D and 3-D shapes.
Identify shapes based on number of sides and corners.
Recognize congruent shapes.
Recognize shapes that have been rotated and reflected and describe those translations.
Identify symmetry in 2-D shapes.
Find and describe objects that mirror symmetry.
Make 2-D symmetrical designs.
Build 3-D symmetrical designs.
Relate geometric ideas to number.
Visualize, construct, and draw rectangular arrays.
Construct arrays to represent numbers and identify halves of the arrays.
Describe fractional parts of an array both numerically and visually.
Construct 2-D array divided into thirds or fourths.

Measurement

Standard Three: Students will engage in problem solving, communicating, reasoning, connecting and representing as they:

Benchmarks:

Identify parts of the day, days of the week, months of the year; identify dates using a calendar.
Work with calendar to become familiar with sequence of days, weeks, and months and the relationships among these periods of time.
Work with daily schedules to become familiar with order of familiar events over time.
Discuss posted daily schedule including both analog and digital representations.
Identify and record a start time and a finish time include analog and digital representations.
Compare the length and area of two or more objects by using direct comparison.
Use a nonstandard unit to measure length.
Measure and compare common objects.
Understand the process of measuring.
Compare the effect on measurement of using units of different size.
Use direct and indirect comparison to compare length.
Select and correctly use the appropriate measurement tools.
Use a measuring device with understanding of the measurement process.
Understand that units must be used in a consistent way.
Make and use estimates of measurement including time, length, and area.
Develop a sense of a minute as a unit of time.
Determine path length by iterating and then counting units.

Data Analysis, Statistics and Probability

Standard Four: Students will engage in problem solving, communicating, reasoning, connecting and representing as they:

Benchmarks:

Formulate questions, use interviews, surveys, and observations to gather data about themselves and their surroundings.
Gather, collect, categorize and record data.
Have a plan for keeping track of data.
Explain and interprets results of surveys.
Collect numerical data.
See representations as a way of communicating to others.
Describe and interpret representations of data.
Can plan a data analysis project.
Students organize, classify, represent, and interpret data using tallies, charts, tables, bar graphs, pictographs, and interpret representations.
Make sense of other students’ representations of data.
Represent data in several ways.
Explore different ways of organizing numerical data.
Focus on important features of data, such as range and outlier.
Compare data sets.
Uses data representations to communicate information.
Students formulate inferences (draw conclusions) and make educated guesses (conjectures) about a situation based on information gained from data.
Interprets data and makes hypotheses based on data.

Discussion, Presentation, Composition

Standard Five: Express ideas in an organized way.

5. Benchmarks:
5.1. Use agreed upon rules to participate in large and small group discussions.
5.2. Express ideas in an organized way.
5.3. Explain their mathematical thinking in writing.
5.4. Maintain a system for collecting, referring to, and sharing their work.

Data Analysis, Statistics, and Probability:

Standard One: Students engage in problem solving, communicating, reasoning, connecting and representing as they:

Benchmarks:
Formulate questions, use interviews, surveys, and observations to gather data about themselves and their surroundings.

1.2 Gather, collect, categorize and record data.
1.3 Have a plan for keeping track of data.
1.4 Explain and interprets results of surveys.
1.5 Collect numerical data.
1.6 See representations as a way of communicating to others.
1.7 Describe and interpret representations of data.
1.8 Can plan a data analysis project.
1.9 Students organize, classify, represent, and interpret data using tallies, charts, tables, bar graphs, pictographs, and interpret representations.
1.10 Make sense of other students’ representations of data.
1.11 Represent data in several ways.
1.12 Explore different ways of organizing numerical data.
1.13 Focus on important features of data, such as range and outlier.
1.14 Compare data sets.
1.15 Uses data representations to communicate information.
1.16 Students formulate inferences (draw conclusions) and make educated guesses (conjectures) about a situation based on information gained from data.
1.17 Interprets data and makes hypotheses based on data.

Geometry:

Standard Two: Students will engage in problem solving, communicating, reasoning, connecting and representing as they:

Benchmarks:

2.1 Describe attributes and compare 2-D and 3-D shapes.
2.2 Sort, describe, and identify 2-D and 3-D shapes.
2.3 Compose and decompose 2-D and 3-D shapes.
2.4 Identify shapes based on number of sides and corners.
2.5 Recognize congruent shapes.
2.6 Recognize shapes that have been rotated and reflected and describe those translations.
2.7 Identify symmetry in 2-D shapes.
2.8 Find and describe objects that mirror symmetry.
2.9 Make 2-D symmetrical designs.
2.10 Build 3-D symmetrical designs.
2.11 Relate geometric ideas to number.
2.12 Visualize, construct, and draw rectangular arrays.
2.13 Construct arrays to represent numbers and identify halves of the arrays.
2.14 Describe fractional parts of an array both numerically and visually.
2.15 Construct 2-D array divided into thirds or fourths.

Measurement:

Standard Three: Students will engage in problem solving, communicating, reasoning, connecting and representing as they:

Benchmarks

3.1 Identify parts of the day, days of the week, months of the year; identify dates using a calendar.
3.2 Work with calendar to become familiar with sequence of days, weeks, and months and the relationships among these periods of time.
3.3 Work with daily schedules to become familiar with order of familiar events over time.
3.4 Discuss posted daily schedule including both analog and digital representations.
3.5 Identify and record a start time and a finish time include analog and digital representations.
3.6 Compare the length and area of two or more objects by using direct comparison.
3.7 Use a nonstandard unit to measure length.
3.8 Measure and compare common objects.
3.9 Understand the process of measuring.
3.10 Compare the effect on measurement of using units of different size.
3.11 Use direct and indirect comparison to compare length.
3.12 Select and correctly use the appropriate measurement tools.
2.14 Use a measuring device with understanding of the measurement process.
3.15 Understand that units must be used in a consistent way.
3.16 Make and use estimates of measurement including time, length, and area.
3.17 Develop a sense of a minute as a unit of time.
3.18 Determine path length by iterating and then counting units.

Number Sense and Operations:

Standard Four: Students will engage in problem solving, communicating, reasoning, connecting and representing as they:

Benchmarks:

4.1 Read, write, and sequence numbers up to 100.
4.2 Demonstrate knowledge of the structure and patterns of our number system from 1 to 100.
4.3 Use landmark numbers such as 10, 25, and 100.
4.4 Identify and distinguish among multiple uses of number.
4.5 Identify uses of numbers in the world.
4.6 Identify and represent common fractions.
4.7 Construct arrays to represent numbers and identify halves of the arrays.
4.8 Describe fractional parts of an array both numerically and visually.
4.9 Construct an array and divide into thirds or fourths.
4.10 Compare whole numbers.
4.11 Use the 100 chart as a tool for combining and comparing numbers.
4.12 Compare numbers to 100.
4.13 Identify coin values and equivalencies.
4.14 Combine different coins to make 5 baht, 10 baht.
4.15 Recognize coins: satang, one baht, two baht, five baht, ten baht.
4.16 Know multiplication facts through 6 x 6.
3 times, 4 times, 6 times
4.17 Use money as a model for counting by 5’s and 10’s.
4.18 Use coins as a model for adding and subtracting multiples of 5 and 10.
4.19 Demonstrate an understanding of various meanings of addition and subtraction.
4.20 Write several equations for a given number.
4.21 Understand the concept of addition.
4.22 Understand the concept of subtraction as “take away”, comparison, and unknown change.
4.23 Match addition and subtraction notations to situations they could represent.
4.24 Identify and use standard notation for addition and subtraction.
4.25 Can choose from a variety of strategies based on the numbers given in a problem.
4.26 Understand and use the inverse relationship between addition and subtraction.
4.27 Use knowledge of addition and subtraction pairs.
4.28 Know addition combinations to 10 and use them to solve problems.
4.29 Know combinations of 10.
4.30 Know doubles combinations and doubles +1 combinations.
4.31 Demonstrate the ability to add and subtract two-digit numbers accurately and efficiently.
4.32 Accurately add double-digit plus single digit number.
4.33 Accurately subtract a single-digit number from a double-digit number.
4.34 Accurately add two-digit numbers.
4.35 Accurately subtract two-digit numbers.

Discussion, Presentation and Composition

Standard Five: Students will engage in problem solving, communicating, reasoning, connecting and representing as they:

Benchmarks:

5.1 Use agreed upon rules to participate in large and small group discussions.
5.2 Express ideas in an organized way.
5.3 Explain their mathematical thinking in writing.
5.4 Maintain a system for collecting, referring to, and sharing their work.