The study of mathematics is a way to investigate and appreciate order in God’s creation. Using a wide variety of tools, teachers can guide students in developing a deep conceptual understanding in order to make sense of mathematics. Students will master the specific knowledge necessary for its application to real problems, for the study of related subject matter, and for continued study in mathematics. Students will learn and view mathematics as a way of thinking about and interpreting the wonders of creation.

Teachers and administrators must consciously weave the many threads of our Catholic identity throughout the curriculum. Within the mathematics curriculum, teachers can encourage the Gospel values of cooperation, sharing responsibility, tolerance and patience.

NEW!!!    Link to Mathematics Standards and Benchmarks    NEW!!!

Mathematics Academic Standards Summary List 

The following list of mathematics expectations for students provides a summary of what a student should know and be able to do by the end of a grade level. This “short list” is adapted from the mathematics curriculum guidelines developed for each school in the Diocese of Madison.

 Kindergarten

• Describe patterns by color, shape and size
• Complete patterns
• Recognize and count 0-30
• Count with one to one correspondence
• Write whole numbers to 20
• Add and subtract using concrete objects up to 10
• Develop problem-solving skills
• Identify circles, squares, triangle, and rectangles
• Develop concepts of time and measurement (days of the week, more, less. Heavier, lighter)
• Use concrete and picture graphs

Grade 1 

• Recognize, extend, and create patterns having more than one attribute
• Read, count and write numerals 0-100
• Count by 2’s, 5’s, and 10’s to 100
• Order numbers before, after, and between
• Solve addition and subtraction facts through 10
• Solve story problems using addition and subtraction
• Identify ones and tens in 2-digit numbers
• Identify 1/2,1/3, and 1/4 of a shape
• Identify and draw circles, squares, rectangles, and triangles
• Identify number of sides and corners of geometric shapes
• Recognize different units of measurement: length, weight, temperature, and atime
• Identify and count pennies, nickels, and dimes
• Read and interpret picture and bar graphs.

Grade 2 

• Recognize, extend, and create numerical patterns
• Read, count and write numerals to 1000
• Count by 2’s, 3’s, 5’s, and 10’s
• Order 2 and 3 digit numbers
• Memorize addition and subtraction facts to 18
• Solve story problems using addition and subtraction
• Identify ones, tens, and hundreds in 3 digit numbers
• Add and subtract 2 digit numbers with and without regrouping
• Recognize fractional parts of shapes and sets
• Identify plane and solid figures
• Tell time to 5 minutes
• Find total value of groups of coins to $1>00
• Measure lengths in inches, feet, and centimeters
• Read and interpret picture and bar graphs

Grade 3 

• Recognize, extend, and create numerical patterns
• Read, write, and order whole numbers to 100,000
• Identify place value to 100,000
• Add and subtract 2 and 3 digit numbers with regrouping
• Recite basic multiplication and division facts for 0-9
• Add, subtract, multiply, and divide whole numbers in problem solving situations
• Estimate to determine reasonable responses
• Recognize, write, and use fractions, such as halves, thirds, and fourths
• Identify sides and angles of geometric shapes
• Tell time to the minute
• Show ability to use and work with money
• Measure length, weight, and temperature
• Read, interpret, and use information from graphs, tables, and charts
• Use calculator basic functions

Grade 4 

• Read, write, compare, and order whole numbers, fractions, and decimals to hundreths
• Identify place value to one million and hundredths
• Master basic multiplication and division facts
• Add, subtract, multiply, and divide whole numbers in one and two step problem solving situations
• Multiply a 2, 3, or 4 digit number by a 1 or 2 digit number
• Multiply by 10, 100, or 1000
• Divide 2 and 3 digit numbers by a 1 digit divisor with remainders
• Use rounding to estimate reasonable answers
• Add and subtract fractions with like denominators
• Identify sides, angles, and faces of geometric figures
• Use standard units of measurement
• Find range, mode, and average of data
• Use calculators to assist and check in the solutions to problems

 Grade 5 

• Read, write, compare, order, and identify place value of decimals through thousandths
• Apply problem-solving skills
• Multiply and divide with 2 digit divisors or multipliers
• Add, subtract, and multiply decimals
• Add and subtract fractions with different denominators
• Round whole numbers and decimals
• Identify and construct polygons up to eight sides
• Measure and draw angles with a protractor
• Find perimeter, area, and volume of squares, rectangles, and triangles
• Estimate, compare, and measure length to nearest 1/8 inch, centimeter, and meter
• Identify mean, mode, range, and median
• Collect, organize and represent data
• Use calculators to assist and check in the solutions to problems.

Grade 6 

• Read, write, compare, order, and identify place value of decimals
• Perform computations with whole numbers, decimals, and fractions
• Write equivalent fractions, decimals and percents
• Understand and use ratios, proportions. And percents
• Find factors and multiples of numbers
• Read, write, and use numbers with exponents
• Recognize and name points, lines, and planes
• Measure and classify angles
• Calculate perimeter, circumference and area of rectangles, triangles, parallelograms, and circles
• Convert units of measure (cups to pints, cm to meters, inches to feet, etc.)
• Use data to make predictions and draw conclusions
• Locate and plot points on a grid
• Use order of operations to solve problems
• Use a calculator to assist and check in solutions to problems

Grade 7 

• Compare and order fractions, decimals, and integers.
• Perform computations with decimals, fractions, and integers
• Write fraction equivalent decimals and percents.
• Use divisibility rules and prime factorization to find greatest common factor and least commom multiples
• Solve and understand ratio and proportions
• Explain and utilize scientific notation and exponential notation
• Understand and apply four operations to whole numbers, fractions, decimals, and percents in problem solving.
• Describe, classify and construct lines, angles, and geometric figures
• Use the Pythagorean theorem
• Use and know formulas for perimeter, circumference, area and volume
• Locate objects using the rectangular coordinate system
• Understand and use the metric system by using grams, meters, liters
• Convert units of measure
• Collect, organize and represent data to draw conclusions using tables, graphs, charts finding mean, median, mode and range.
• Solve linear equations containing fractions and or integers
• understand numerical expressions and apply order of operations
• Use scientific calculator.

Grade 8 

• Perform and explain operations on rational numbers
• Use ratios and proportions in problem-solving
• Use percents including those greater than 100 and less than one
• Identify and compare 2 and 3 dimensional figures and their component parts
• Evaluate and understand motion geometry (translation, rotation, reflection)
• Locate objects using the rectangular co-ordinate system
• Convert units of measure
• Use data from real world situations to formulate questions, conduct investigations, and to generate displays
• Solve two-step equations containing whole numbers, decimals, fractions, and/or integers
• Graph a linear equation
• Recognize and use generalized properties (commutative, associative, distributive, etc.)