Table of Contents

1. California's 2007 mathematics standards.
2. Florida's 2007 mathematics standards.
3. Oregon's 2007 mathematics standards.
4. Members of Asia-Pacific Economic Cooperation.
   

California's 2007 mathematics standards:

Click here to link to additional California's standards information

Number Sense


1.0 Students understand the relationship between numbers and quantities (i.e., that a set of objects has the same number of objects in different situations regardless of its position or arrangement):
1.1 Compare two or more sets of objects (up to ten objects in each group) and identify which set is equal to, more than, or less than the other.
1.2 Count, recognize, represent, name, and order a number of objects (up to 30).
1.3 Know that the larger numbers describe sets with more objects in them than the smaller numbers have.
2.0 Students understand and describe simple additions and subtractions:
2.1 Use concrete objects to determine the answers to addition and subtraction problems (for two numbers that are each less than 10).
3.0 Students use estimation strategies in computation and problem solving that involve numbers that use the ones and tens places:
3.1 Recognize when an estimate is reasonable.



Algebra and Functions


1.0 Students sort and classify objects:
1.1 Identify, sort, and classify objects by attribute and identify objects that do not belong to a particular group (e.g., all these balls are green, those are red).



Measurement and Geometry


1.0 Students understand the concept of time and units to measure it; they understand that objects have properties, such as length, weight, and capacity, and that comparisons may be made by referring to those properties:
1.1 Compare the length, weight, and capacity of objects by making direct comparisons with reference objects (e.g., note which object is shorter, longer, taller, lighter, heavier, or holds more).
1.2 Demonstrate an understanding of concepts of time (e.g., morning, afternoon, evening, today, yesterday, tomorrow, week, year) and tools that measure time (e.g., clock, calendar).
1.3 Name the days of the week.
1.4 Identify the time (to the nearest hour) of everyday events (e.g., lunch time is 12 o'clock; bedtime is 8 o'clock at night).
2.0 Students identify common objects in their environment and describe the geometric features:
2.1 Identify and describe common geometric objects (e.g., circle, triangle, square, rectangle, cube, sphere, cone).
2.2 Compare familiar plane and solid objects by common attributes (e.g., position, shape, size, roundness, number of corners).



Statistics, Data Analysis, and Probability


1.0 Students collect information about objects and events in their environment:
1.1 Pose information questions; collect data; and record the results using objects, pictures, and picture graphs.
1.2 Identify, describe, and extend simple patterns (such as circles or triangles) by referring to their shapes, sizes, or colors.



Mathematical Reasoning


1.0 Students make decisions about how to set up a problem:
1.1 Determine the approach, materials, and strategies to be used.
1.2 Use tools and strategies, such as manipulatives or sketches, to model problems.
2.0 Students solve problems in reasonable ways and justify their reasoning:
2.1 Explain the reasoning used with concrete objects and/ or pictorial representations.
2.2 Make precise calculations and check the validity of the results in the context of the problem.

Florida's 2007 mathematics standards:

click here to link to additional Florida's standards information

MA.K.A.1.1 Represent quantities with numbers up to 20, verbally, in writing, and with manipulatives.
MA.K.A.1.2 Solve problems including those involving sets by counting, by using cardinal and ordinal numbers, by comparing, by ordering, and by creating sets up to 20.
MA.K.A.1.3 Solve word problems involving simple joining and separating situation

MA.K.G.2.1 Describe, sort and re-sort objects using a variety of attributes such as shape, size, and position.
MA.K.G.2.2 Identify, name, describe and sort basic two-dimensional shapes such as squares, triangles, circles, rectangles, hexagons, and trapezoids.
MA.K.G.2.3 Identify, name, describe, and sort three-dimensional shapes such as spheres, cubes and cylinders.
MA.K.G.2.4 Interpret the physical world with geometric shapes and describe it with corresponding vocabulary.
MA.K.G.2.5 Use basic shapes, spatial reasoning, and manipulatives to model objects in the environment and to construct more complex shapes.

MA.K.G.3.1 Compare and order objects indirectly or directly using measurable attributes such as length, height,and weight.
MA.K.A.4.1 Identify and duplicate simple number and non-numeric repeating and growing patterns.
MA.K.G.5.1 Demonstrate an understanding of the concept of time using identifiers such as morning, afternoon, day, week, month, year, before/after, and shorter/longer.

Oregon's 2007 mathematics standards:

click here to link to additional Oregon's Standards information

It is essential that these standards be addressed in contexts that promote problem solving, reasoning, communication, making connections, and designing and analyzing representations.
K.1 Number and Operations and Algebra: Represent, compare, and order whole numbers, and join and separate sets.
K.1.1 Read and write whole numbers to 10.
K.1.2 Connect numbers, including written numerals, to the quantities they represent, using various physical models and representations.
K.1.3 Count forward by ones beginning with any number less than 30; count backward by ones beginning with any number 10 or less.
K.1.4 Recognize the number of objects in a small set (such as the arrangements of dots on a number cube) without counting.
K.1.5 Count objects in a set using one-to-one correspondence and produce sets of given sizes.
K.1.6 Compare and order sets or numerals by using both cardinal and ordinal meanings.
K.1.7 Model simple joining and separating situations and represent them with objects, pictures, and/or numerals.
K.1.8 Choose, combine, and apply effective strategies for solving joining and separating problems.
K.1.9 Identify, duplicate, and extend simple number patterns and sequential and growing patterns (e.g., patterns made with shapes).

K.2 Geometry: Describe shapes and space.
K.2.1 Identify, name, and describe basic two-dimensional shapes (e.g., square, circle, triangle, rectangle, regular hexagon) presented in a variety of ways (e.g., with different sizes or orientations).
K.2.2 Identify, name, and describe basic three-dimensional shapes (e.g., sphere, cube, and cylinder).
K.2.3 Use basic shapes and spatial reasoning to describe and model objects in their environment, and to construct more complex shapes.

K.3 Measurement: Compare and order objects by attributes.
K.3.1 Identify the measurable attributes (e.g., length, weight) and non-measurable attributes (e.g., color) of an object.
K.3.2 Compare, sort, and order objects according to measurable (e.g., longest to shortest, lightest to heaviest) and non-measurable (e.g., color, texture) attributes.
K.3.3 Compare the lengths of two objects both directly (by comparing them with each other) and indirectly (by comparing both with a third object).



Members of Asia-Pacific Economic Cooperation

click here to link to Asia-Pacific Economic Cooperation members

Standards are available for Australia , China , Japan, Malaysia, New Zealand, Singapore, and several US versions through this wiki group link .
( Note that some have large PDF files.)