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Year 1 Math Curriculum
Everyday Mathematics is a K-6 enriched mathematics curriculum, developed by the University of Chicago School Mathematics Project that empowers students and teachers to understand mathematical content far beyond arithmetic.
Everyday Mathematics© is written based on a spiral curriculum, meaning a specific concept is taught five times in two years, giving your child many opportunities to grasp the idea when developmentally ready to do so. For example, multiplication concepts are introduced already in kindergarten with skip counting, again in first grade, in second grade through building arrays, and focused on in depth in third grade. Your child has many exposures to the concepts before mastery is expected.
Kindergarten Curriculum Overview
Patterns, Relationships and Functions
- create and model patterns with sounds, motions, pictures and objects
- identify patterns in their world
- look for patterns on a calendar
- explore change, sequences, and cause/effect relationships
- make graphs
Geometry and Measurement
- recognize: squares, rectangles, triangles, circles, cones, lines, points
- compare, sort, classify, draw and build familiar shapes
- compare models to actual objects
- describe locations: front, back, between, next to
- explore enlarging and reducing shapes
- begin to use balance scales and thermometers
- begin to use standard and non-standard tools for measurement
Data Analysis and Statistics
- gather and organize data
- make predictions
- begin to conduct surveys
- explore ways to solve problems
Number Sense and Numeration
- read, count and write numbers 0-20+
- explore counting to 100 +
- group objects and count by 2’s, 5’s, and 10’s
- explore numbers in the environment
- represent numbers with numerals and pictures
- explore odd and even numbers
Numerical and Algebraic Operations and Analytical Thinking
- represent a problem by drawing a picture
- verbally explore solving problems
- explore open sentences
Probability and Discrete Mathematics
- explore change
- talk about probability: more/less, fair/not fair
- sort and classify objects by attributes
- talk about multiple solutions to a problem
First Grade Curriculum Overview
Patterns, Relationships and Functions
- recognize, describe and extend patterns
- use 100’s chart to identify patterns
- use visual patterns to develop number sense
- identify and describe predictable changes
- use patterns to make predictions
- graph and record data
Geometry and Measurement
- recognize: line segment, sides, spheres, rectangular prisms and cylinders
- draw, build, sort, classify and describe familiar shapes
- find locations on number lines, graphs and maps
- tell time to the half hour
- name the value of pennies, nickels, dimes and quarters
- use a thermometer
- estimate and measure volume
- use a calendar to indicate: days, weeks, months, yesterday, today, and tomorrow
- measure objects
- compare models and maps to real life
Data Analysis and Statistics
- gather and organize data using pictures, tallies, tables, charts, diagrams and graphs
- describe data on a graph (most, highest, lowest)
- use data to make predictions and draw conclusions
Number Sense and Numeration
- read, write and count from 0-100 +
- count by 2’s, 5’s, 10’s
- investigate concepts of halves, thirds and fourths
- name place values up to 3 digits
- solve addition and subtraction problems
- recall basic addition and subtraction facts from 0-10
- demonstrate that adding or subtracting 0 does not change the original value of the number
- demonstrate the adding or subtracting 1 increases or decreases the original number by one
- estimate amounts
- round off numbers to the nearest ten
- use greater than, less than and equal to
- classify numbers as odd or even
Numerical and Algebraic Operations and Analytical Thinking
- use manipulatives to model operations with numbers
- write addition and subtraction problems to match concrete objects
- solve open number sentences
- find missing numbers in addition and subtraction problems
Probability and Discrete Mathematics
- explore the difference between chance and certainty
- describe outcomes as "more likely" or "less likely" to occur
- conduct probability experiments
- sort and classify objects by attributes
- sequence events to accomplish a task
- explore multiple solutions to a problem
Second Grade Curriculum Overview
Patterns, Relationships and Functions
- recognize, describe and extend patterns
- use tables and charts
- use the calculator
- use 100’s chart to illustrate patterns
- identify odd and even numbers
- identify variation in sequence of events
- use Input/Output tables
- use patterns to make predictions
Geometry and Measurement
- identify the following: edge, face, vertex, segment, base, angle, endpoint, polygons (pentagon, octagon, rhombus), prism, pyramid, cube
- classify shapes by attributes
- describe the real world in terms of geometric shapes
- describe location using: front, back, inside, outside, right, left, over, next to, between
- explore flipping, turning, enlarging, reducing shapes
- measure weight, time, days, money temperature, length
- tell time to the nearest 5 minutes
- measure length to the nearest centimeter
- estimate measurements
- work with drawings and scales
- make change with coins
Data Analysis and Statistics
- collect and organize data using pictures, tallies, charts, and graphs
- make predictions based on data
- conduct surveys
Number Sense and Numeration
- read, count and write up to 1,000 +
- count by 2’s, 5’s, 10’s and 100’s
- build and write ¼ , ½ , 1/3
- count, read and write money
- name place values up to 4 digits
- add and subtract 2 and 3 digit numbers without trading/regrouping
- use objects to solve addition and subtraction problems that require regrouping
- demonstrate an understanding of the effect 0 and 1 have on an answer when adding, subtracting and multiplying
- recall basic addition and subtraction facts up to 20
- round off numbers to tens and hundreds
- estimate amounts
- use greater than, less than and equal to
- classify numbers as even or odd
- demonstrate that multiplication is repeated addition
- use objects to demonstrate division
- solve problems with estimation
Numerical and Algebraic Operations and Analytical Thinking
- use mental math, estimation, paper/pencil, and calculators to solve problems
- use balance scales to demonstrate equivalent weights
- find the missing number in an open sentence
Probability and Discrete Mathematics
- conduct experiments with coins, spinners and dice to observe variation
- identify events as being "more likely" or "less likely"
- discuss possibilities and make predictions
- sort and classify objects by attributes
- use objects and diagrams to demonstrate problem solving strategies
- look for multiple solutions to a problem
Third Grade Curriculum Overview
Patterns, Relationships and Functions
- extend, record and describe patterns
- use charts and calculators to see patterns in multiplication
- predict change
- record data on tables and charts
- write open sentences
Geometry and Measurement
- identify cubes, spheres, cylinders, cones, pyramids, parallelograms, line segments, angles, right angles, parallel lines, intersecting lines, trapezoids
- draw, compare, classify shapes and describe their attributes
- describe locations using: front, back, inside, outside, right, left, over, under, next to, between
- flip, turn, slide, rotate shapes
- use standard tools of measurement (ruler, scale, thermometer, graduated cylinder) including both standard and metric units
- tell time to the minute
- add up coins totaling more than one dollar
- recognize decimal and fraction names for coins
- interpret scale drawings and maps
Data Analysis
- collect, organize and solve problems using data
- read a bar graph
- make predictions and inferences using data
Number Sense and Numeration
- read and write numbers up to five digits and name each place value
- read and write fractions
- read and write two digit decimals
- solve addition and subtraction problems with regrouping up to 3 and 4 digits
- learn multiplication tables 0-10
- relate basic division facts to multiplication facts
- build models of fractions and decimals
- name equivalent fractions
- write numbers using expanded notation
- round off four digit numbers
- estimate with addition, subtraction, multiplication and division
- classify odd and even numbers
Numerical and Algebraic Operations and Analytical Thinking
- devise a recording procedure for basic operations
- use the commutative property
- solve one and two step problems
- find missing numbers in addition, subtraction, multiplication and division problems
Probability and Discrete Mathematics
- use a fraction to describe the probability of an event that will occur
- conduct probability experiments
- sort and classify objects according to attributes
- tell what comes next in a pattern
- look for multiple solutions to a problem
Fourth Grade Curriculum Overview
Patterns, Relationships and Functions
- use patterns and record on charts and tables
- recognize and predict change in patterns
- describe repeating, growing and shrinking patterns
- explore variability
Geometry and Measurement
- identify acute/obtuse angles, perpendicular lines, equilateral triangles, concave, convex, polygons, polyhedrons
- identify shapes with similarity and congruence
- use shapes to describe the real world
- locate objects using north, south, east, west, right, left, between,
- explore shapes when sliding, flipping, turning, reducing, enlarging
- use measurements for length, mass, weight, area, perimeter, capacity, temperature and time
- explore scale drawings
Data Analysis and Statistics
- collect, organize and record data using tallies, charts, tables and graphs
- describe data using range, mode, median, and average
- draw conclusions from data
- make predictions based on data
Number Sense and Numeration
- read and write numbers up to one million
- read and write fractions and decimals
- know multiplication facts 0 through 12
- relate multiplication to division facts
- use strategies to solve addition, subtraction, multiplication and division
- round off six digit numbers
- compare numbers using: less than, greater than and equal to
Numerical and Algebraic Operations and Analytical Thinking
- apply mental math, estimation, paper/pencil and calculator
- write and solve open sentences
- use analytical thinking to solve problems
Probability and Discrete Mathematics
- describe probability experiences using terms: more likely, and less likely
- sort and classify according to attributes
- solve logic problems
- generate a variety of solutions to a problem
Fifth Grade Curriculum Overview
Patterns, Relationships and Functions
- use patterns to make predictions, solve problems
- describe change in more abstract situations and represent it on tables, graphs and equations
- extend patterns and supply missing elements
Geometry and Measurement
- identify the following: diameter, radius, circumference, apex, obtuse, acute, isosceles and, scalene triangles, decagon, septagon, polyhedrons (tetrahedrons, octahedrons, dodecahedrons)
- combine, dissect and transform shapes
- describe locations as north, south, east, west, perpendicular, parallel
- locate coordinates
- measure objects in both metric and common systems( length, mass, time, temperature, perimeter, area, volume, and angles)
Data Analysis and Statistics
- collect, organize and present data using tables, charts, graphs, spreadsheets and data bases
- compute mean, median, mode and range
- make predictions based on interpolations and extrapolations, formulate and defend opinions
- write descriptive statements about data
Number Sense and Numeration
- read, write and count numbers greater than one million
- read and write decimals in place values beyond hundredths
- use commutative, associative and distributive properties of multiplication
- use mental math, estimation, paper/pencil and calculator skills in addition, subtraction, multiplication and division
- develop an understanding of the relationship between fractions, decimals and percents
- explore positive and negative numbers
- work with prime and composite numbers, factors and multiples
- review math facts 0-12
Numerical and Algebraic Operations and Analytical Thinking
- compute simple algebraic problems with mental math, estimation, paper/pencil and calculator
- solve open math problems
- complete Input/Output tables
Probability and Discrete Mathematics
- figure out the likelihood of events happening and express it as fractions or ratios
- develop multiple solutions to a problem
- solve logic problems
Sixth Grade Curriculum Overview
Patterns, Relationships and Functions
- use patterns to make predictions, solve problems
- describe change in more abstract situations and represent it on tables, graphs and equations
- extend patterns and supply missing elements
- represent rates with formulas, tables, and graphs
Geometry and Measurement
- identify the following: diameter, radius, circumference, apex, obtuse, acute, isosceles and, scalene triangles, decagon, septagon, polyhedrons (tetrahedrons, octahedrons, dodecahedrons)
- combine, dissect and transform shapes
- describe locations as north, south, east, west, perpendicular, parallel
- locate coordinates
- measure objects in both metric and common systems( length, mass, time, temperature, perimeter, area, volume, and angles)
- identify faces, edges, vertices, and bases of prism and pyramids
Data Analysis and Statistics
- collect, organize and present data using tables, charts, graphs, spreadsheets and data bases
- compute mean, median, mode and range
- make predictions based on interpolations and extrapolations, formulate and defend opinions
- write descriptive statements about data
Number Sense and Numeration
- read, write and count numbers greater than one hundred million
- read and write decimals in place values beyond hundredths
- add, subtract, multiply and divide decimals.
- use commutative, associative and distributive properties of multiplication
- use mental math, estimation, paper/pencil and calculator skills in addition, subtraction, multiplication and division
- understand the relationship between fractions, decimals and percents
- add, subtract, multiply and divide positive and negative numbers
- know prime and composite numbers, factors and multiples
- review math facts 0-12
- rename numbers written in exponential notation.
- Understand and apply powers of 10
- Rename fractions and mixed numbers
Numerical and Algebraic Operations and Analytical Thinking
- compute algebraic problems with mental math, estimation, paper/pencil and calculator
- solve open math problems
- complete Input/Output tables
- use order of operations to solve number sentences
Probability and Discrete Mathematics- figure out the likelihood of events happening and express it as fractions, ratios, and percents
- develop multiple solutions to a problem
- solve logic problems
- understand that increasing the number of trials affects experimental results
