Curriculum » Math » Grade K
Algebraic Concepts
Applying: Measurement Concepts The learner will be able to develop an understanding of how to apply measurement concepts to find the measurements of a variety of geometric shapes and objects.
Operations: Represent/Problem Solving The learner will be able to use manipulatives to represent the meaning and effect of basic operations within different problem solving situations.
Computation: Methods The learner will be able to construct, apply, and describe procedures for performing whole number calculations in the various methods of computation.
Computation: Strategies The learner will be able to use a variety of computation strategies in appropriate contexts: mental math, estimation, paper and pencil, calculators, and computer programs.
Operations: Relationships/Apply The learner will be able to apply relationships among operations and properties of operations.
Algebraic Concepts: Applying The learner will be able to develop an understanding of algebraic concepts and processes through experiences which enable them to describe, represent, and analyze relationships among variable quantities.
Number Sense: Representing The learner will be able to develop an intuitive sense of and represent numerical situations using expressions, variables and number sentences.
Algebraic Concepts: Representations The learner will be able to identify algebraic illustrations of problem scenarios.
Number Sense: Representing The learner will be able to represent numerical situations and number patterns with tables, graphs, verbal rules, concrete materials, and number sentences and translate from one to another.
Algebraic Concepts: Procedures The learner will be able to understand algebraic procedures.
Properties: Applying The learner will be able to develop an understanding of and use properties of operations and numbers.
Computation: Proficiency The learner will be able to exhibit proficiency when performing computational procedures.
Algebraic Concepts: Problem Solving The learner will be able to use algebraic methods to solve mathematical problems.
Variable The learner will be able to understand the basic concept of a variable as representing an unknown quantity.
Computation: Real World Problems The learner will be able to obtain solutions to real world problems that involve computations.
Translate Problems: Open Sentences The learner will be able to solve open sentences, and write open sentences to express real-world scenarios.
Algebraic Concepts: Problem Solving The learner will be able to use algebraic methods to solve real-world problems.
Inequalities: Concept The learner will be able to understand the concepts of inequalities.
Data Interpretation
Problem Solving: Questions/Answers The learner will be able to develop questions or problems and collect, interpret, and analyze data in order to find solutions.
Table: Application The learner will be able to construct, read and interpret displays of data such as tables and lists.
Bar Graphs: Construct/Interpret The learner will be able to construct and interpret picture and bar graphs.
Bar Graphs: Read The learner will be able to read bar graphs.
Pictographs: Create The learner will be able to create pictographs to display data.
Pictographs: Interpret The learner will be able to interpret information given in pictographs.
Pictographs: Read The learner will be able to read pictographs.
Fractions
Problem Solving: Explore The learner will be able to use models to explore operations with fractions.
Functions
Exploring: Functions The learner will be able to use concrete and pictorial mediums to explore basic concepts of functions.
Functional Relationships: Comprehend The learner will be able to display comprehension of functional relationships.
Geometry
Spatial Thinking: Apply Concepts The learner will be able to use suitable concepts and procedures of spatial reasoning/understanding.
Spatial Relationships: Applying The learner will be able to develop spatial sense through experiences which enable them to represent geometric shapes and to apply their knowledge of geometric relationships and to other areas of mathematics and real-world situations.
Congruency/Symmetry: Exploring The learner will be able to explore concepts of symmetry and congruency.
Congruence/Similarity: Classification The learner will be able to classify figures by congruence and/or similarity.
Symmetry The learner will be able to determine if a given shape is symmetrical.
Similarity: Exploring The learner will be able to explore similarity concepts by creating smaller and larger similar shapes using geoboards, manipulatives, pattern blocks, and technology.
Similarity: Self-Similarity The learner will be able to explore the relationship among shapes for self-similarity.
Shapes: Classify The learner will be able to classify 2 dimensional geometric shapes by their similarities and differences.
Geometric Concepts: Understanding The learner will be able to display comprehension of spatial relationships and geometry through the visualization and recognition of various objects (2D and 3D), by sorting different shapes, identifying symmetry, applying transformations and formulas, and through the evaluation of the characteristics of various figures.
Shapes: Exploring The learner will be able to explore two-dimensional shapes using concrete objects, drawings and computer graphics.
Solids: Exploring The learner will be able to explore three-dimensional solids using drawings, concrete objects, and computer graphics.
Spatial Thinking: Developing The learner will be able to develop spatial sense by identifying, classifying, and describing two- and three-dimensional geometric figures using the appropriate attributes, terms, and materials.
Solids: Classify/Discuss The learner will be able to classify and discuss solid figures and their attributes.
Change/Combine/Partition: Figures The learner will be able to explore changing, combining, and partitioning geometric figures and predict how the resulting figure will appear.
Spatial Thinking: Visualization The learner will be able to visualize and describe the outcome of folding geometric figures a variety of ways.
Figures: Join/Separate The learner will be able to investigate breaking up and putting together various shapes to make new shapes and/or tessellations.
Geometric Concepts: Analyze The learner will be able to analyze the occurrence of geometry in nature, art and other real-world situations.
Mathematics Processes
Mathematical Concepts: Communication The learner will be able to express mathematical concepts and relationships orally and in writing.
Mathematical Concepts: Communication The learner will be able to communicate mathematical concepts and ideas through reading, representing, speaking, and writing about them.
Mathematical Communications: Apply The learner will be able to communicate mathematically with symbolic and visual forms of expression of mathematical concepts.
Mathematical Concepts: Representing The learner will be able to represent mathematical concepts using manipulatives, graphical formats, symbols, and words.
Mathematical Concepts: Communication The learner will be able to represent and communicate mathematical ideas using calculators, computers and manipulatives.
Mathematical Connections The learner will be able to understand mathematics as an integration of number forms, systems, relationships, ideas, and topics, and use each of these elements of mathematics to draw conclusions and make inferences about mathematics as a whole.
Procedural/Conceptual: Connecting The learner will be able to make connections between procedures and concepts within mathematics.
Mathematical Connections: Demonstrate The learner will be able to demonstrate the connections among various equivalent graphical, verbal and concrete representations of mathematical concepts using models, calculators and other mathematical tools.
Mathematical Connections: Apply The learner will be able to apply the concepts of one mathematical problem situation to extend understanding of another problem.
Mathematical Connections The learner will be able to make mathematical connections among mathematics topics, across the curriculum, and in day to day life.
Mathematical Connections The learner will be able to identify the connections between mathematics and other disciplines and apply mathematical analysis and problem solving in those disciplines.
Math as Reasoning: Develop The learner will be able to develop reasoning skills and think independently in a mathematical sense, relying on their own abilities.
Mathematical Connections: Estimating The learner will be able to make connections with prior knowledge and problem situations to estimate solutions, then test them for correctness.
Math as Reasoning: Logical Conclusions The learner will be able to apply mathematical reasoning to draw logical conclusions and make generalizations.
Procedural/Conceptual: Explain The learner will be able to explain and demonstrate mathematical procedures and concepts by using models, known facts, properties, and relationships.
Mathematical Concepts: Communication The learner will be able to develop and communicate mathematical concepts involving number, space, and data and model problem situations using physical objects and manipulatives.
Mathematical Concepts: Applying The learner will be able to apply an understanding of mathematical concepts by following, devising and explaining basic lists of instructions for mathematical situations.
Measurement
Applying: Mathematical/Physical Tools The learner will be able to use a variety of tools to measure characteristics and attributes of mathematical and physical objects in the world.
Accuracy: Appropriate Instrument/Unit The learner will be able to choose the appropriate tools and units of measurement necessary to find accurate measurements given a specific situation.
Money Concepts The learner will be able to identify and understand how money is used.
Money: Counting The learner will be able to count and conduct computations with money.
Measurement: Application The learner will be able to apply and describe measures of length, distance, capacity, and time.
Volume: Use/Describe The learner will be able to use and describe volume measurements.
Weight: Use/Describe The learner will be able to use and describe weight measurements.
Problem Solving: Scale The learner will be able to solve problems involving scale.
Time: Problem Solving The learner will be able to solve problems involving time.
Measurement: Compare The learner will be able to compare and order objects according to a measurable attribute of the object.
Units: Common Units of Measure The learner will be able to understand and discuss why common units of measurement are necessary.
Measurement: Non-Uniform Tools The learner will be able to develop and apply non-uniform tools for standard units of measure (such as the width of a finger to approximate a centimeter).
Measurement Concepts: Systems The learner will be able to understand measurement concepts and the use of nonstandard, metric, and customary measures.
Instruments: Appropriate The learner will be able to use the appropriate measurement instrument (ruler, thermometer, etc.) when measuring a specific attribute.
Standard/Non-Standard Units: Apply The learner will be able to choose and apply appropriate standard and non-standard units of measurement to solve real-life problems.
Problem Solving: Measurement The learner will be able to solve problems involving measurement concepts.
Problem Solving: Rates The learner will be able to solve story problems involving the rate (measure) of items.
Length The learner will be able to determine the length of the object.
Length: Estimate The learner will be able to estimate length.
Volume: Estimate The learner will be able to estimate the volume of an object through visualization.
Volume: Non-standard/Measure The learner will be able to measure the volume of objects using non-standard units.
Units: Nonstandard The learner will be able to apply nonstandard units in measurement situations.
Length: Estimate/Non-standard The learner will be able to estimate the length of objects using non-standard units.
Number Theory
Read Numbers The learner will be able to read and/or identify numbers.
Number Theory: Application The learner will be able to show an ability to correctly use concepts and/or ideas related to number theory.
Number Forms: Relationships The learner will be able to recognize relationships, and understand and/or use numbers and number ideas in a real world setting.
Number Sense: Demonstrating The learner will be able to display a knowledge of number sense.
Number Sense: Applying The learner will be able to develop number sense, know how to represent numbers in many different forms, and apply numbers in different scenarios.
Number Sense: Understanding Uses The learner will be able to comprehend the many applications of numbers, such as counting, measuring, labeling, and showing location.
Numeration
Pattern Concepts: Applying The learner will be able to identify and apply concepts of patterns and relationships to analyze mathematical situations.
Patterns: Describe/Analyze/Extend The learner will be able to make, study, continue, and/or describe many different patterns.
Pattern Concepts: Applying The learner will be able to apply the concepts of patterns to develop an intuitive sense of the extensions of the number system and identify patterns in number sequences.
Number Uses The learner will be able to demonstrate an understanding that numbers are used for counting, measuring, ordering, and estimating.
Counting: Problem Solving The learner will be able to solve problems using counting.
Compare/Order The learner will be able to compare and/or order numbers and/or objects.
Patterns: Geometric/Understand The learner will be able to understand and/or apply geometric patterns.
Mental Math: Memorizing Facts The learner will be able to memorize basic number facts using a variety of fact strategies such as "counting on" and "doubles".
Estimation The learner will be able to use estimation in solving problems.
Computing The learner will be able to comprehend, choose, and employ many different methods of performing numerical operations.
Computing: In Context The learner will be able to perform computations in the context of given problems.
Estimating: Sets The learner will be able to estimate the quantity of elements that encompass a set using language such as "more than," less than," same as," and "equal to".
Estimating: Quantity/Computation The learner will be able to estimate both quantities and computational results using a variety of strategies.
Estimating: Strategies/Apply The learner will be able to apply a variety of estimation strategies in problem solving situations.
Estimation: Appropriateness The learner will be able to use estimation where appropriate.
Estimation: Verify The learner will be able to use a variety of estimation strategies to check results.
Estimation Strategies The learner will be able to apply suitable approximation methods in problem solving situations.
Estimation: Apply The learner will be able to apply estimation in working with quantities, measurement, and computation.
Pattern: Continue The learner will be able to continue patterns based on different attributes (color, texture, sound, shape, number, and size).
Pattern: Create The learner will be able to create patterns.
Pattern: Describe The learner will be able to describe a pattern.
Pattern: Reproduce/Extend The learner will be able to reproduce and extend patterns.
Sequences: Create The learner will be able to create sequences using various materials.
Sequences: Describe The learner will be able to describe sequences using various materials.
Sequences: Extend The learner will be able to extend sequences using various materials.
Sequences: Reproduce The learner will be able to reproduce sequences using various materials.
Pattern Concepts: Applying The learner will be able to develop a knowledge of patterns, relationships, and functions and apply them in the representation and explanation of real-life occurrences.
Patterns: Observe The learner will be able to observe and develop an appreciation for examples of patterns, relationships, and functions in other disciplines and situations.
Pattern: Generalizations/Formulas The learner will be able to develop formulas or generalizations about observed patterns.
Patterns: Generalizations The learner will be able to develop and verify generalizations based on observations of patterns and relationships.
Counting: Explore The learner will be able to explore a variety of counting problems, games, and puzzles.
Sequences: Identify/Analyze The learner will be able to identify and analyze sequences in nature, art and music.
Patterns: Classifying The learner will be able to explore ways to represent and classify data according to attributes, such as shape or color, and relationships and discuss the purpose and usefulness of such classification.
Patterns: Continuous The learner will be able to explore and describe patterns that continue indefinitely.
Perspective/Role in Society
Mathematics: Role in Society The learner will be able to explore the role of mathematics in society.
Real-World Mathematics: Daily Life The learner will be able to discuss (oral and/or written) the usefulness of mathematics in one's daily life.
Probability/Statistics
Data Analysis: Problem Solving The learner will be able to use methods of data analysis to solve problems.
Data Analysis: Real World Applications The learner will be able to apply data analysis concepts in real world scenarios.
Data: Analyzing The learner will be able to analyze data.
Data: Compare The learner will be able to make comparisons of data.
Data: Hypothesis The learner will be able to make inferences and formulate hypotheses based on data.
Data Analysis: Conclusions The learner will be able to collect data, organize the collected data, and create a display which explains the data and conclusions which can be drawn from the data.
Data: Interpretation The learner will be able to interpret given data.
Data Analysis: Probability/Statistics The learner will be able to use experiences in collecting, organizing, interpreting, and analyzing statistical data and applying probability concepts to make predictions about and evaluate a given situation.
Probability: Discuss The learner will be able to use concepts of certainty, fairness, and chance to discuss the probability of actual events.
Problem Solving
Investigations: Methods/Appropriate The learner will be able to apply discovery-oriented, inquiry-based, and problem-centered methods to analyze and comprehend mathematical content appropriate to elementary grade levels.
Problem Solving Effort: Identifying The learner will be able to demonstrate an understanding of problem solving by identifying, formulating and solving problems from mathematical and real world experiences.
Problem Solving: Application The learner will be able to recognize, formulate, clarify, and engage in solving problems arising from mathematical situations, content areas across the curriculum, and real-world scenarios.
Represent Problems: Construct/Use The learner will be able to construct and use concrete, pictorial, symbolic, and graphical models to represent problem situations.
Strategies: Applying/Group/Independent The learner will be able to formulate, describe, justify and apply multiple problem-solving strategies in both group and independent learning environments.
Evaluating Solution: Appropriateness The learner will be able to evaluate various solutions to determine which is the most valid and appropriate in the context of the problem as a whole.
Solution: Reasonableness The learner will be able to evaluate the reasonableness of a given solution.
Solutions: Evaluating Reasonableness The learner will be able to evaluate a problem and given solution for reasonableness, and justify or discount the solution.
Problem Solving: Necessary Data The learner will be able to determine, collect, organize and analyze data needed to solve problems.
Strategies: Different Approaches The learner will be able to understand that there are multiple ways to solve a given problem and use discovery-oriented, inquiry-based, and problem-centered approaches to investigate and explore problems.
Collaboration: Problem Solving The learner will be able to participate as a group member working toward identifying a problem, discerning relevant elements of the problem, brainstorming about possible solutions, solving the problem, and checking to ensure the solution is correct.
Collaboration: Explain/Strategy/Solution The learner will be able to explain the mathematical strategies that were applied to a group and justify their reasoning and solution.
Represent Problems: Exploring The learner will be able to explore problem situations and describe and justify results using multiple representations.
Solutions: Justifying The learner will be able to justify a solution within a problem solving situation.
Strategies: Justify Reasoning The learner will be able to justify the reasoning behind using a specific problem solving strategy.
Technology
Technology as a Tool: Apply Appropriate The learner will be able to select and use calculators, software, and other technological tools based on their capabilities and limitations and on the problem situation.
Technology as a Tool: Applying The learner will be able to use calculators, computers, manipulatives, and other mathematical tools on a regular basis to better develop mathematical thinking, comprehension and strength.
Technology as a Tool: Applying The learner will be able to apply a variety of technologies to identify number patterns, explore and analyze numerical data, demonstrate number sense (an intuitive, common sense approach to using numbers), and visualize geometric concepts.
Problem Solving: Data Collection/Display The learner will be able to use the appropriate technology to gather data and to communicate and display mathematical information.
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