Number Sense - The student demonstrates and communicates an understanding of number sense while solving a variety of problems.
Primary (K-3)
1.1
Understands place value as it relates to whole numbers.
1.2
Understands the characteristics (e.g., even/odd numbers) of and relationships (e.g., ordering, comparing, determining equivalency) between and among whole numbers.
1.3
Understands basic mathematical principles (e.g., 2 + 3 = 3 + 2, n + 0 = n) and how they apply to whole numbers.
1.4
Understands the relationship of fractions to whole numbers (e.g., divides an object or a set of objects into equal parts).
1.5
Uses number sense to estimate and/or to justify the reasonableness of solutions to problems involving whole numbers.
1.6
Uses oral/written language to communicate an understanding of number sense.
Intermediate (4-6)
1.1
Understands place value as it relates to whole numbers and decimals.
1.2
Understands the characteristics of and relationships (e.g., ordering, comparing, determining equivalency) between and among whole numbers, fractions, mixed numbers, and decimals.
1.3
Understands basic mathematical principles [e.g., 2 + (3 + 4) = (2 + 3) + 4, n x 1 = n, n x 0 = 0] and how they apply to whole numbers.
1.4
Uses number sense to estimate and/or to justify the reasonableness of solutions to problems involving whole numbers, fractions, mixed numbers, and decimals.
1.5
Uses oral/written language to communicate an understanding of number sense.
Algebra - The student demonstrates an understanding of algebraic methods used to explore, model, and describe patterns and functions in problem solving situations and communicates the reasoning used in solving these problems.
Primary (K-3)
2.1
Recognizes when a pattern exists by extending the pattern.
2.2
Describes patterns using a variety of physical materials
2.3
Explains number relationships using equal to, less than, and greater than symbols.
2.4
Replaces a missing number in a number sentence.
2.5
Uses oral/written language to communicate an understanding of patterns.
Intermediate (4-6)
2.1
Represents patterns using tables, rules, graphs, open sentences, and symbols. (e.g., <, =, >)
2.2
Explains how a change in one quantity can produce a change in another (e.g., relationship between number of bicycles and number of wheels).
2.3
Solves one-step equations using whole numbers. (e.g., 2x = 10, x+6 = 15
2.4
Uses substitution within given formulas to solve a variety of problems. (e.g., a = l % w, d = r % t)
2.5
Uses oral/written language to communicate an understanding of patterns and relationships.
Data Analysis, Statistics and Probability - The student demonstrates an understanding of data collection and analysis, statistics and probability, uses these to solve problems, and communicates the reasoning and processes used.
Primary (K-3)
3.1
Gathers, sorts, classifies, and organizes data to answer questions.
3.2
Uses largest/smallest, least/most often and middle to interpret data.
3.3
Constructs, reads, and interprets data including tables, charts, pictographs and bar graphs to solve problems.
3.4
Generates data and makes predictions based upon likely outcomes.
Intermediate (4-6)
3.1
Constructs, reads, and interprets tables, charts, pictographs, bar graphs, circle graphs, line graphs and double bar graphs.
3.2
Identifies the characteristics of mean, median, mode, and range.
3.3
Explains how probability can be used to estimate outcomes.
3.4
Determines the probability of a simple event assuming equally likely outcomes.
3.5
Makes predictions and convincing arguments that are based on data analysis from tables, charts and graphs.
3.6
Models situations by devising and carrying out experiments or simulations to predict probabilities.
3.7
Solves problems using various strategies for making combinations (e.g., determining outfits that can be made using 2 blouses and 3 skirts.)
Geometry - The student demonstrates an understanding of the properties of geometry, and uses these to solve problems and communicates the reasoning used in solving these problems.
Primary (K-3)
4.1
Recognizes symmetry and congruence using a variety of real world materials.
4.2
Uses measurement and number sense in solving geometric problems (e.g., area, perimeter).
4.3
Solves problems using geometric relationships and constructing models and locating coordinates on a grid.
4.4
Recognizes, identifies, describes, compares, and classifies geometric figures.
4.5
Clarifies problem and selects and uses an appropriate strategy* for solving a variety of problems involving geometric relationships.
Intermediate (4-6)
4.1
Transforms geometric figures using reflections, translations, and rotations to demonstrate congruence and symmetry.
4.2
Solves problems involving perimeter and area in two- dimensional figures and locates geometric figures on a coordinate grid.
4.3
Solves problems using geometric relationships and spatial reasoning.
4.4
Describes, draws, builds, compares, and classifies geometric figures.
4.5
Clarifies problem and selects and uses an appropriate strategy* for solving a variety of problems involving geometric relationships.
Measurement - The student demonstrates an understanding of measurement and uses a variety of tools and techniques to solve problems and communicates the reasoning used in solving these problems.
Primary (K-3)
5.1
Knows, uses, describes, and estimates length, perimeter, temperature, weight, and time.
5.2
Compares and orders objects according to measurable characteristics (for example, longest to shortest, lightest to heaviest).
5.3
Identifies and compares the value of coins and currency.
5.4
Selects and uses appropriate standard and non-standard units of measurement in problem solving situations.
Intermediate (4-6)
5.1
Knows, uses, describes, and estimates distance, perimeter, area, volume, temperature, capacity, weight, time, and angles
5.2
Estimates and uses measurements to describe and make comparisons.
5.3
Computes the value of money and makes change.
5.4
Selects and uses appropriate tools (e.g. ruler, thermometer, scale) for taking measurements of familiar objects in problem solving situations.
5.5
Reads and interprets various scales based on the number line.
Computation - The student demonstrates an understanding of computational skills and techniques and uses these to solve a variety of problems.
Primary (K-3)
6.1
Mentally adds and subtracts basic computations of whole numbers with sums up to 20.
6.2
Uses paper and pencil to add and subtract whole numbers.
6.3
Uses oral/written language to communicate an understanding of computational techniques (e.g., regrouping for addition and subtraction.
Intermediate (4-6)
6.1
Mentally multiplies and divides basic combinations of whole numbers.
6.2
Uses paper and pencil to add, subtract, multiply, and divide whole numbers, common fractions and mixed numbers.
6.3
Uses oral/written language to communicate an understanding of operations (i.e., addition, subtraction, multiplication, division used with whole numbers, fractions, mixed numbers, and decimals and the reasoning used to solve problems.