PAN-ASIA MATHEMATICS:  GRADE 1

Number Sense and Operations:

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

Benchmarks:

1. Read, write, and sequence numbers up to 100
2. Associate number words with corresponding written numerals
3. Compare whole numbers
4. Find the greater of two quantities
5. Understand more, less, and equal amounts
6. Identify coin names, values, and equivalencies
7. Become familiar with coin names, values, and equivalencies
8. Visualize quantities grouped in 2’s, 5’s and 10’s
9. Demonstrate an understanding of various meanings of addition and subtraction
10. Record problem-solving strategies using pictures, numbers, words, and equations
11. Find more than one solution to a problem that has multiple solutions
12. Visualize combining and separating situations
13. Visualize story problems that involve combining with change unknown
14. Create story problems to match addition and subtraction expressions
15. Understand and use the inverse relationship between addition and subtraction
16. Know addition combinations to 10 and use them to solve problems
17. Know combinations of 10
18. Know the multiplication facts through 3 x 3. 0 times, one times, two times, five times 

Geometry

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

Benchmarks:

1. Describe, compare, classify, and represent 2-D and 3-D shapes
2. Use mathematical vocabulary to name shapes and describe characteristics of shapes
3. Are familiar with a variety of squares, rectangles and triangles
4. Group shapes according to common characteristics
5. Compare and describe objects by size, shape, and orientation
6. Recognize shapes that have been rotated and reflected and describe those translations
7. Use rotation and reflection to arrange shapes
8. Predict the results of putting shapes together and taking them apart
9. Notice relationships among shapes
10. Visualize and represent shapes
11. Fill a given region with shapes
12. Construct 3-D shapes from 2-D shapes
13. Put 3-D shapes together to make other shapes
14. Create and use 2-D representations of 3-D shapes and objects
15. Describe and compare paths between two locations
16. Visualize, describe, and compare the path between two locations in space and on grid
17. Visualize and describe directions of turns
18. Visualize and describe directions for how to move in space and on a path

Measurement

Data Analysis, Statistics and Probability

Discussion, Presentation, Composition

Data Analysis, Statistics, and Probability:

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

• 1.1 Formulate questions, use interviews, surveys, and observations to gather data about themselves and their surroundings
• 1.2 Pose questions about themselves and their surroundings
• 1.3 Make a plan for gathering and recording data
• 1.4 Collect and keep track of data
• 1.5 Explain and interpret results of surveys
• 1.6 Students organize, classify, represent, and interpret data using tallies, charts, tables, bar graphs, pictographs, and interpret representations
• 1.7 Sort and categorize data
• 1.8 Invent and construct representations
• 1.9 Compare two data sets    
• 1.10 Make sense of others representations
• 1.11 Describe data quantitatively and qualitatively
• 1.12 Students formulate inferences (draw conclusions) and make educated guesses (conjectures) about a situation based on information gained from data

Geometry

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

Benchmarks:

• 2.1 Describe, compare, classify, and represent 2-D and 3-D shapes
• 2.2 Use mathematical vocabulary to name shapes and describe characteristics of shapes
• 2.3 Are familiar with a variety of squares, rectangles and triangles
• 2.4 Group shapes according to common characteristics
• 2.5 Compare and describe objects by size, shape, and orientation
• 2.6 Recognize shapes that have been rotated and reflected and describe those translations
• 2.7 Use rotation and reflection to arrange shapes
• 2.8 Predict the results of putting shapes together and taking them apart
• 2.9 Notice relationships among shapes
• 2.10 Visualize and represent shapes
• 2.11 Fill a given region with shapes
• 2.12 Construct 3-D shapes from 2-D shapes
• 2.13 Put 3-D shapes together to make other shapes
• 2.14 Create and use 2-D representations of 3-D shapes and objects
• 2.15 Describe and compare paths between two locations
• 2.16 Visualize, describe, and compare the path between two locations in space and on a grid
• 2.17 Visualize and describe directions of turns
• 2.18 Visualize and describe directions for how to move in space and on a path

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 and words such as, before, after, during, at the end of
• 3.5 Compare the length, weight, area, and volume of two or more objects using direct comparison
• 3.6 Understand what weight is
• 3.7 Use language to describe and compare weight
• 3.8 Compare the weight of different objects using a balance
• 3.9 Understand what capacity is
• 3.10 Use language to describe and compare capacities of two and more than two   containers
• 3.11 Compare and measure capacities
• 3.12 Fill a given area with shapes
• 3.13 Understand what length is; use language to describe and compare length
• 3.14 Measure and compare length using direct comparison
• 3.15 Measure with multiple copies of units of the same size
• 3.16 Measure and compare common objects
• 3.17 Measure and compare length using nonstandard units
• 3.18 Order lengths
• 3.19 Select and correctly use the appropriate measurement tools
• 3.20 Make and use estimates of measurement including time, volume, weight, and area
• 3.21 Estimate the number of units needed to fill a container
• 3.22 Relate size and shape to capacity
• 3.23 Describe measurements that can’t be measured in whole, exact units

Number Sense and Operations:

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

Benchmarks:

• 4.1 Read, write, and sequence numbers up to 100
• 4.2 Associate number words with corresponding written numerals
• 4.3 Compare whole numbers
• 4.4 Find the greater of two quantities
• 4.5 Understand more, less, and equal amounts
• 4.6 Identify coin names, values, and equivalencies
• 4.7 Become familiar with coin names, values, and equivalencies
• 4.8 Visualize quantities grouped in 2’s, 5’s and 10’s
• 4.9 Demonstrate an understanding of various meanings of addition and subtraction
• 4.10 Record problem-solving strategies using pictures, numbers, words, and equations
• 4.11 Find more than one solution to a problem that has multiple solutions
• 4.12 Visualize combining and separating situations
• 4.13 Visualize story problems that involve combining with change unknown
• 4.14 Create story problems to match addition and subtraction expressions
• 4.15 Understand and use the inverse relationship between addition and subtraction
• 4.16 Know addition combinations to 10 and use them to solve problems
• 4.17 Know combinations of 10
• 4.18 Know the multiplication facts through 3 x 3.
• 4.19 O times, one times, two times, five times

Discussion, Presentation and Composition

Standard Five: Students will engage in problem solving, communicating, reasoning, connecting and replacing 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.