M1 a. Adds, subtracts, multiplies, and divides whole numbers, with and without calculators.

M1 b. Demonstrates understanding of the base ten place value system and uses this knowledge to solve arithmetic tasks.

M1 c. Estimates, approximates, rounds off, uses landmark numbers, or uses exact numbers, as appropriate, in calculators.

M1 d. Describes and compares quantities by using concrete and real word models of simple fractions.

M1 e. Describes and compares quantities by using simple decimals.

M1 f. Describes and compares quantities by using whole numbers up to 10,000.

M2 a. Gives and responds to directions about location.

M2 b. The student visualizes and represents two-dimensional and three-views of simple rectangular three-dimensional shapes.

M2 c. Uses simple two-dimensional coordinate systems to find locations on a map.

M2 d. Uses many types of figures and identifies the figures by their properties.

M2 e. Solves problems by showing relationships between and among figures.

M2 f. Extends and creates geometric patterns using concrete and pictorial models.

M2 g. Uses basic ways of estimating and measuring the size of figures and objects in the real world.

M2 h. Uses models to reason about the relationships between perimeter and area of rectangles.

M2 i. Selects and uses units for estimating and measuring quantities such as weight, length, area, volume and time.

M2 j. Carries out simple conversions between hours and minutes.

M2 k. Uses scales in maps, and uses, measures, and creates scales.

M3 a. Uses linear patterns to solve problems

M3 b. Builds iterations of simple non-linear patterns with concrete materials, and recognizing that these patterns are not linear.

M3 c. Uses the understanding that an equality relationship between two quantities remains the same as long as the same change is made to both quantities.

M3 d. Uses letters, boxes, or other symbols to stand for any number measured quantity or object in simple situations with concrete materials.

M4 a. Collects and organizes data to answer questions or tests a hypothesis by comparing sets of data.

M4 b. Displays data in line plots, graphs, tables, and charts.

M4 c. Makes statements and draws simple conclusions based on data.

M4 d. Gathers data to understand the concept of a sample that leads to more reliable information.

M4 e. Predicts results, analyzes data, and finds out why some results are more likely, less likely or equally likely.

M4 f. Finds all possible combinations and arrangements within certain constraints involving a limited number of variables.

M5 a. Given the basic statement of a problem situation uses strategies, such as using manipulative or drawing sketches, to model problems.

M5 b. The student makes the basic choice s involved in planning and carrying out a solution.

M5 c. The student moves beyond a particular problem by making connections, extensions, and/or generalizations.

M6 a. Adds, subtracts, multiplies whole numbers

M6 b. Estimates numerically and spatially.

M6 c. The student measures length, area, perimeter, circumference, diameter, height, weight, and volume accurately in both the customary and metric systems.

M6 d. Computes time (hours and minutes) and money (in dollars and cents).

M6 e. Refers to geometric shapes and terms correctly with concrete objects or drawings.

M6 f. Uses +,-,*,/, $,%,and . (decimal point) correctly in number sentences and expressions.

M6 g. Reads, creates, and represents data on line plots, charts, tables, diagrams, bar graphs, simple circle graphs, and coordinate graphs.

M6 h. Uses recall, mental computations, pencil and paper measuring devices, mathematical text, manipulative, calculators, computers, and advice from peers to achieve solutions.

M7 a. Uses mathematical terms, vocabulary, and language, based on prior conceptual work.

M7 b. Shows mathematical ideas in a variety of ways including word, symbols, numbers, pictures, charts, graphs, tables, diagrams and models.

M7 c. Explains solutions to problems clearly and logically, and supports, solutions with evidence, in both oral and written work.

M7 d. Consider purpose and audience when communicating about mathematics

M7 e. Comprehends mathematics from reading assignments and from other sources

M8 a. Data study in which the student makes hypothesis, decides on group sampled, makes predictions, collects, represents and displays data in a report in order to make decisions or recommendations.

M8 b. Science study in which the student decides on the science question and mathematics that will be used, makes predictions, collects, data represents and displays data in a report in order to make decisions or recommendations.

M8 c. Design of a physical structure, in which the student, decides on the size, budget and scale of the structure, makes drafts, revises based on in put from others, and makes a final draft and report.

M8 d. Management and planning, in which the student, decides on criteria, identifies problems, resources, writes a plan with a report including recommendations.

M8 e. Put mathematics investigations, in which the student, decides on an investigation and representations to be used, carries it out and writes a report which includes generalizations.