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Wisconsin Math Standards - Grades K-4
MathScore aligns to the Wisconsin Math Standards for Grades K-4. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Wisconsin Math Standards at other levels.
Mathematical Processes
A.4.1 Use reasoning abilities to• perceive patterns (Skip Counting , Mental Addition and Subtraction to 100 , Mental Addition and Subtraction , Patterns: Numbers , Patterns: Shapes )
• identify relationships (Missing Term , Function Tables , Function Tables 2 )
• formulate questions for further exploration
• justify strategies
• test reasonableness of results
A.4.2 Communicate mathematical ideas in a variety of ways, including words, numbers, symbols, pictures, charts, graphs, tables, diagrams, and models (Understanding Multiplication , Understanding Division , Tally and Pictographs , Bar Graphs , Line Graphs )
A.4.3 Connect mathematical learning with other subjects, personal experiences, current events, and personal interests
• see relationships between various kinds of problems and actual events (Basic Word Problems , Arithmetic Word Problems , Basic Word Problems 2 , Word Problems With Remainders , Making Change 2 )
• use mathematics as a way to understand other areas of the curriculum (e.g., measurement in science, map skills in social studies) (Fraction Pictures )
A.4.4 Use appropriate mathematical vocabulary, symbols, and notation with understanding based on prior conceptual work (Congruent And Similar Triangles )
A.4.5 Explain solutions to problems clearly and logically in oral and written work and support solutions with evidence
Number Operations and Relationships
B.4.1 Represent and explain whole numbers, decimals, and fractions with• physical materials (Requires outside materials )
• number lines and other pictorial models (Counting Squares , Fraction Pictures )
• verbal descriptions (Place Value to 1000 , Place Value , Decimal Place Value )
• place-value concepts and notation (Place Value to 1000 , Place Value , Decimal Place Value )
• symbolic renaming (e.g., 43=40+3=30+13)
B.4.2 Determine the number of things in a set by
• grouping and counting (e.g., by threes, fives, hundreds) (Skip Counting , Skip Counting 2 )
• combining and arranging (e.g., all possible coin combinations amounting to thirty cents)
• estimation, including rounding (Rounding Numbers , Decimal Rounding to .01 )
B.4.3 Read, write, and order whole numbers, simple fractions (e.g., halves, fourths, tenths, unit fractions) and commonly-used decimals (monetary units) (Number Comparison , Order Numbers to 1000 , Order Numbers , Order Decimals , Fraction Comparison , Compare Decimals , Basic Fraction Comparison )
B.4.4 Identify and represent equivalent fractions for halves, fourths, eighths, tenths, sixteenths (Basic Fraction Simplification , Fraction Pictures )
B.4.5 In problem-solving situations involving whole numbers, select and efficiently use appropriate computational procedures such as
• recalling the basic facts of addition, subtraction, multiplication, and division (Fast Addition , Fast Addition Reverse , Fast Subtraction , Beginner Multiplication , Fast Multiplication , Fast Multiplication Reverse , Multiplication Facts Strategies , Fast Division , Mixed Addition and Subtraction )
• using mental math (e.g., 37+25, 40x7) (Addition Grouping , Long Addition to 1000 , Basic Addition to 1000 , Basic Subtraction to 1000 , Long Subtraction to 1000 )
• estimation (Estimated Addition , Estimated Subtraction )
• selecting and applying algorithms for addition, subtraction, multiplication, and division (Long Addition , Long Subtraction , Multiplication By One Digit , Long Multiplication , Long Division By One Digit , Long Division , Division with Remainders , Long Division with Remainders )
• using a calculator
B.4.6 Add and subtract fractions with like denominators (Basic Fraction Addition , Basic Fraction Subtraction )
B.4.7 In problem-solving situations involving money, add and subtract decimals (Making Change )
Geometry
C.4.1 Describe two-and three-dimensional figures (e.g., circles, polygons, trapezoids, prisms, spheres) by• naming them (Geometric Shapes , Polygon Names )
• comparing, sorting, and classifying them
• drawing and constructing physical models to specifications
• identifying their properties (e.g., number of sides or faces, two- or three-dimensionality, equal sides, number of right angles) (Circle Measurements )
• predicting the results of combining or subdividing two-dimensional figures
• explaining how these figures are related to objects in the environment
C.4.2 Use physical materials and motion geometry (such as slides, flips, and turns) to identify properties and relationships, including but not limited to
• symmetry
• congruence (Congruent And Similar Triangles )
• similarity (Congruent And Similar Triangles )
C.4.3 Identify and use relationships among figures, including but not limited to
• location (e.g., between, adjacent to, interior of)
• position (e.g., parallel, perpendicular) (Parallel and Perpendicular Lines )
• intersection (of two-dimensional figures)
C.4.4 Use simple two-dimensional coordinate systems to find locations on maps and to represent points and simple figures
Measurement
D.4.1 Recognize and describe measurable attributes, such as length, liquid capacity, time, weight (mass), temperature, volume, monetary value, and angle size, and identify the appropriate units to measure them (Perimeter and Area Word Problems )D.4.2 Demonstrate understanding of basic facts, principles, and techniques of measurement, including
• appropriate use of arbitrary and standard units (metric and US Customary)
• appropriate use and conversion of units within a system (such as yards, feet, and inches; kilograms and grams; gallons, quarts, pints, and cups) (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion )
• judging the reasonableness of an obtained measurement as it relates to prior experience and familiar benchmarks
D.4.3 Read and interpret measuring instruments (e.g., rulers, clocks, thermometers) (Telling Time )
D.4.4 Determine measurements directly by using standard tools to these suggested degrees of accuracy
• length to the nearest half-inch or nearest cm
• weight (mass) to the nearest ounce or nearest 5 grams
• temperature to the nearest 5
• time to the nearest minute (Telling Time )
• monetary value to dollars and cents (Counting Money )
• liquid capacity to the nearest fluid ounce
D.4.5 Determine measurements by using basic relationships (such as perimeter and area) and approximate measurements by using estimation techniques (Compare Rectangle Area and Perimeter )
Statistics and Probability
E.4.1 Work with data in the context of real-world situations by• formulating questions that lead to data collection and analysis
• determining what data to collect and when and how to collect them
• collecting, organizing, and displaying data
• drawing reasonable conclusions based on data
E.4.2 Describe a set of data using
• high and low values, and range
• most frequent value (mode)
• middle value of a set of ordered data (median)
E.4.3 In problem-solving situations, read, extract, and use information presented in graphs, tables, or charts (Tally and Pictographs , Bar Graphs , Line Graphs )
E.4.4 Determine if future events are more, less, or equally likely, impossible, or certain to occur
E.4.5 Predict outcomes of future events and test predictions using data from a variety of sources
Algebraic Relationships
F.4.1 Use letters, boxes, or other symbols to stand for any number, measured quantity, or object in simple situations (e.g., N + 0 = N is true for any number) (Phrases to Algebraic Expressions )F.4.2 Use the vocabulary, symbols, and notation of algebra accurately (e.g., correct use of the symbol "="; effective use of the associative property of multiplication) (Compare Expressions , Associative Property 1 , Associative Property 2 , Commutative Property 1 , Commutative Property 2 )
F.4.3 Work with simple linear patterns and relationships in a variety of ways, including
• recognizing and extending number patterns (Patterns: Numbers )
• describing them verbally (Requires outside materials )
• representing them with pictures, tables, charts, graphs (Function Tables , Function Tables 2 )
• recognizing that different models can represent the same pattern or relationship
• using them to describe real-world phenomena (Function Tables , Function Tables 2 )
F.4.4 Recognize variability in simple functional relationships by describing how a change in one quantity can produce a change in another (e.g., number of bicycles and the total number of wheels) (Independent and Dependent Variables , Function Tables , Function Tables 2 )
F.4.5 Use simple equations and inequalities in a variety of ways, including
• using them to represent problem situations (Basic Word Problems , Arithmetic Word Problems , Basic Word Problems 2 )
• solving them by different methods (e.g., use of manipulatives, guess and check strategies, recall of number facts) (Missing Factor , Missing Term , Missing Operator )
• recording and describing solution strategies
F.4.6 Recognize and use generalized properties and relationships of arithmetic (e.g., commutativity of addition, inverse relationship of multiplication and division) (Missing Factor , Missing Term , Addition Grouping , Inverse Equations 1 , Inverse Equations 2 )
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