Understand the Concept of Addition
- Model addition situations
- Embedded numbers within 5
- Add with pictures within 5
- Embedded numbers within 10
- Add with pictures within 10
Formal Introduction to Addition
- Addition sentences within 5
- Addition sentences within 10
Properties & Strategies for Addition
- Recall addition using models
- Count on to add using objects
- Count on to add using number lines
- Count on from a number to add
- Count on to find the missing addend
- Commutative property of addition
Fluently Add within 10
- Add doubles within 10
- Make numbers from 3 to 6 in different ways
- Make numbers from 7 to 9 in different ways
- Make a 10
- Fluently add within 10
- Addition word problems within 10
Strategies for Addition
- Add 10 and 1-digit numbers
- Add within 20 using count on strategy
- Add 3 whole numbers
Associative property of addition - Understand the meaning of the equal sign
- Add by making a 10
- Doubles facts within 20
- Add using count on strategy
- Anchor 10 strategy for addition
- Add using doubles and near doubles
- Add upto three numbers within 20
Add within 20
- Add within 20
- Missing numbers in addition equations
- Addition word problems within 20
- Comparative word problems
Add within 100
- 10 more or 10 less than a number
- Add multiples of 10
- Add tens to a 2-digit number
- Add ones to a 2-digit number
- Addition word problems
Recall Addition Facts
- Addition facts of 1
- Addition facts of 2
- Addition facts of 3
- Addition facts of 4
- Addition facts of 5
- Addition facts of 6
- Addition facts of 7
- Addition facts of 8
- Addition facts of 9
Word Problems within 20
- Addition word problems with result unknown
- Word problems with start unknown scenarios
- Word problems with comparative scenarios
- Two step word problems
Add within 100 without Regrouping
- Add 2-digit and 1-digit numbers
- Add 2-digit and 2-digit numbers
Add within 100 with Regrouping
- Add 2-digit and 1-digit numbers with regrouping
- Add two 2-digit numbers with regrouping
Word problems on addition within 100
Add within 1000 without Regrouping
- Add multiples of 100
- Mentally add 100 to 3-digit numbers
- Mentally add 10 to 3-digit numbers
- Add 3-digit and 1-digit numbers
- Add 3-digit and 2-digit numbers
- Add two 3-digit numbers
Add within 1000 with Regrouping
- Add by regrouping ones
- Add by regrouping tens
- Add by regrouping ones and tens
Word problems on addition within 1000
Fluently Add within 1000
- Add 3-digits and 1-digit numbers without regrouping
- Add 3-digits and 1-digit numbers with regrouping
- Add 3-digits and 2-digit numbers without regrouping
- Add 3-digits and 2-digit numbers with regrouping
- Add 3-digits and 3-digit numbers without regrouping
Fluently Add within 10000
- Add 4-digit and 2-digit numbers without regrouping
- Add 4-digit and 2-digit numbers with regrouping
- Add 4-digit and 3-digit numbers without regrouping
- Add 4-digit and 3-digit numbers with regrouping
- Add 4-digit and 4-digit numbers without regrouping
- Add 4-digit and 4-digit numbers with regrouping
Add Multi-digit Numbers
- Addition upto 100,000
- Addition upto 1,000,000
Understand the Concept of Subtraction
- Model subtraction situations
- Subtract with pictures within 5
- Subtract with pictures within 10
Formal Introduction to Subtraction
- Subtraction sentences within 5
- Subtraction sentences within 10
Strategies to Subtract
- Recall subtraction using models
- Relate addition and subtraction
- Subtract using count back strategy
- Anchor 10 strategy for subtraction
- Subtract using doubles and near doubles
Fluently Subtract within 10
- Fluently subtract within 10
- Subtraction word problems within 10
Subtract within 20
- Subtract within 20
- Missing numbers in subtraction equations
- Comparative word problems
Subtract within 100
- Subtract multiples of 10
- Subtraction word problems
Recall Subtraction Facts
- Subtraction facts of 1
- Subtraction facts of 2
- Subtraction facts of 3
- Subtraction facts of 4
- Subtraction facts of 5
- Subtraction facts of 6
- Subtraction facts of 7
- Subtraction facts of 8
- Subtraction facts of 9
Word Problems within 20
- Word problems with start unknown scenarios
- Word problems with comparative scenarios
- Two step word problems
Subtract within 100 without Regrouping
- Subtract 1-digit numbers from 2-digit numbers
- Subtract multiples of 10 from 2-digit numbers
- Subtract two 2-digit numbers
Subtract within 100 with Regrouping
- Subtract 1-digit numbers from 2-digit numbers with regrouping
- Subtract two 2-digit numbers with regrouping
Word problems on subtraction within 100
- Subtract within 1000 without Regrouping
- Subtract multiples of 100
- Mentally subtract 100 from 3-digit numbers
- Mentally subtract 10 from 3-digit numbers
- Subtract 1-digit numbers from 3-digit numbers
- Subtract 2-digit numbers from 3-digit numbers
- Subtract two 3-digit numbers
Subtract within 1000 with Regrouping
- Subtract by breaking up tens
- Subtract by breaking up hundreds
- Subtract by breaking up tens and hundreds
Word problems on subtraction within 1000
Fluently Subtract within 1000
- Subtract 1-digit numbers from 3-digit numbers without regrouping
- Subtract 1-digit numbers from 3-digit numbers with regrouping
- Subtract 2-digit numbers from 3-digit numbers without regrouping
- Subtract 2-digit numbers from 3-digit numbers with regrouping
- Subtract two 3-digit numbers without regrouping
- Subtract two 3-digit numbers with regrouping
Fluently Subtract within 10000
- Subtract 2-digit numbers from 4-digit numbers without regrouping
- Subtract 2-digit numbers from 4-digit numbers with regrouping
- Subtract 3-digit numbers from 4-digit numbers without regrouping
- Subtract 3-digit numbers from 4-digit numbers with regrouping
- Subtract two 4-digit numbers without regrouping
- Subtract two 4-digit numbers with regrouping
- Subtract across zeros
Subtract Multi-digit Numbers
- Subtraction upto 100,000
- Subtraction upto 1,000,000
Build Foundation for Multiplication
- Understand equal groups
- Understand arrays
Formal Introduction to Multiplication
- Write multiplication sentences for equal groups
- Write multiplication sentences for arrays
- Use repeated addition to multiply
- Use skip counting to multiply
Multiplication Facts of 2, 3 & 5
- Multiplication facts of 2
- Multiplication facts of 3
- Multiplication facts of 5
Properties of Multiplication
- Multiply by 0 and 1
- Commutative property of multiplication
- Distributive property of multiplication
- Associative property of multiplication
Multiply on a Number Line
- Visualize multiplication on number lines
- Multiplication facts of 2,3,5,10 on number lines
Multiplication Facts of 4, 6, 7, 8, 9, and 10
- Multiplication facts of 4
- Multiplication facts of 6
- Multiplication facts of 7
- Multiplication facts of 8
- Multiplication facts of 9
- Multiplication facts of 10
Multiply using Place Value Understanding
- Multiply 1-digit numbers by a multiple of 10
- Estimate products by rounding numbers
- Multiply 2-digit numbers by 1-digit numbers in different arrangements.
Understand Multiplicative Comparison
- Solve problems involving multiplicative comparison
- Word problems on multiplication
Multiply 2-digit by 1-digit Numbers
- Multiplication facts of 11
- Multiplication facts of 12
- Multiply by 1-digit numbers using area models
- Multiply 2-digit numbers by 1-digit numbers using place value understanding
- Fluently multiply 2-digit numbers by 1-digit number
Multiply 3-digit by 1-digit Numbers
- Multiply 3-digit numbers by 1-digit numbers using place value understanding
- Fluently multiply 3-digit numbers by 1-digit number
Multiply 4-digit by 1-digit Numbers
- Multiply 4-digit numbers by 1-digit numbers using place value understanding
- Fluently multiply 4-digit numbers by a 1-digit number
Multiply Two 2-digit Numbers
- Multiply Two 2-digit numbers using area models
- Multiply Two 2-digit numbers using place value understanding
- Fluently Multiply Two 2-digit numbers
Multiply Multi-digit Whole Numbers
- Multiply by multiples of 10
- Multiply 2-digit numbers by 2-digit numbers
- Multiply 3-digit numbers by 2-digit numbers
- Estimate products of multi-digit whole numbers
Build Foundation for Division
- Dividing into equal groups
- Represent equal sharing scenarios in division
- Find the quotient using visual models
- Understand "divide by" term
- Represent equal grouping scenarios in division
- Relate equal sharing and equal grouping models of division
Relate Multiplication & Division
Divide on a Number Line
Division Facts within 100
- Divide by 2
- Divide by 5
- Divide by 10
- Divide by 3
- Divide by 4
- Divide by 6
- Divide by 7
- Divide by 8
- Divide by 9
- Word problems on division
Divide using Place Value Understanding
- Divide multiples of 10 by 1-digit numbers.
Divide Multiples of 10 or 100
- Divide multiples of 10 by 1-digit numbers
- Divide multiples of 100 by 1-digit numbers
- Use long division to divide a multiple of 10 without remainder
Divide 2-digit by 1-digit Numbers
- Use long division to divide 2-digit numbers by 1-digit numbers without remainder
- Divide 2-digit numbers by 1-digit numbers without remainder
- Divide 2-digit numbers by 1-digit numbers with remainder
- Use long division to divide 2-digit numbers by 1-digit numbers with remainder
Divide 3-digit by 1-digit Numbers
- Divide 3-digit numbers by 1-digit numbers without remainder
- Use long division to divide 3-digit numbers by 1-digit numbers without remainder
- Divide 3-digit numbers by 1-digit numbers with remainder
- Use long division to divide 3-digit numbers by 1-digit numbers with remainder
Divide 4-digit by 1-digit Numbers
- Divide 4-digit numbers by 1-digit numbers without remainder
- Divide 4-digit numbers by 1-digit numbers with remainder
Divide Multi-digit Whole Numbers
- Divide using estimation strategies
- Division using long division without remainders
- Division using long division with remainders
- Solve problem involving division
- Work with Numbers from 11-19
Model 10 - Model teen numbers
- Understand teen numbers as 1 ten and some ones
Count up to 120
- Count to 50
- Count to 100
- Count to 120
Understand Place Value of Numbers
- Understand 10 as a unit and count by tens
- Read and write multiples of 10
- Read and write numbers up to 20
- Read and write numbers up to 50
- Read and write numbers up to 100
Compare & Order Numbers up to 100
- Compare numbers within 100
- Order numbers within 10
- Order numbers within 20
Read & Write 3-digit Numbers
- Understand place names in 3-digit numbers
- Understand place value of digits in 3-digit numbers
Compare & Order Numbers
- Compare numbers using place value charts
- Order numbers using place value charts
Skip Count within 1000
- Skip count by 5
- Skip count by 2
- Skip count by 10
- Skip count by 100
Understand Even & Odd Numbers
- Determine whether a group of objects has an even or odd number of members
Build Foundation for Multiplication
- Understand equal groups
- Write repeated addition sentences for equal groups
- Understand arrays as foundation for multiplication
- Write repeated addition sentences for arrays
Read & Write Numbers
- Recall place names in 3-digit numbers
- Recall place value of digits in 3-digit numbers
- Understand place names in 4-digit numbers
- Understand place value of digits in 4-digit numbers
- Understand place names in 5-digit numbers
- Understand place value of digits in 5-digit numbers
Read & Write Multi-digit Numbers
- Understand place names in multi-digit numbers
- Understand place value of digits in multi-digit numbers
- Represent numbers on number lines
- Relate value of a digit at different places
Round Whole Numbers
- Round 2-digit numbers to nearest the 10 using number lines
- Round 2-digit numbers to the nearest 10
- Round 3-digit numbers to the nearest 10 using number lines
- Round 3-digit numbers to the nearest 10
- Round 3-digit numbers to the nearest 100 using number lines
- Round 3-digit numbers to the nearest 100
- Round multi digit whole numbers
Read Clocks & Tell Time
- Know analog clocks
- Tell, write and show time in hours
- Tell, write and show time in half hours
- Tell and write time in quarter hours
- Understand A.M. and P.M.
Tell Time & Measure Elapsed Time
- Tell and write time to the nearest 5 minutes
- Tell and write time to the nearest minute
- Measure elapsed time
Identify Coins & Count Money
- Recognize penny, nickel and dime
- Recognize values of penny, nickel and dime
- Count money using pennies, nickels and dimes
- Recognize quarters and half-dollars
- Recognize the value of quarters and half-dollars
Make Amounts & Compute Change
- Make given amounts and identify equivalent amounts
- Compare amounts of money
- Add and subtract money using symbols
- Make change
Solve Problems involving Money
- Add money
- Subtract money
- Multiply money
- Divide money
Metric Units of Measurement
- Measure length in centimeters using rulers
- Measure and estimate weights in metric units
- Measure and estimate capacities in metric units
Customary Units of Measurement
- Measure lengths in inches using rulers
- Measure and estimate weights in customary units
- Measure and estimate capacities in customary units
Relative Sizes of Metric
- Relate units of length and estimate lengths
- Relate units of weight and estimate weights
- Relate units of capacity and estimate capacities
Relative Sizes of Customary Units
- Relate units of length and estimate lengths
- Relate units of weight and estimate weights
- Relate units of capacity and estimate capacities
Conversion of Measurement Units
- Convert quantities in one metric unit to another unit
- Convert quantities in one metric unit to another unit involving decimal conversions
- Convert quantities in one customary unit to another unit
- Multi-step, real world problems involving conversion of units
Read, Analyze & Represent Data
- Analyze and represent data on bar graphs
- Analyze and represent data on line plots
- Analyze and represent scaled data on picture graphs
Identify & Classify Shapes
- Understand two dimensional shapes on the basis of their defining attributes
- Understand two dimensional shapes as closed shapes
- Sides and vertices of two dimensional shapes
- Understand three dimensional shapes
- Recognize two dimensional shapes by their names
- Recognize two dimensional shapes by their attributes
- Types of triangles
- Understand attributes of quadrilaterals
- Identify quadrilaterals
- Identify quadrilaterals in different orientations
- Understand that shapes in different categories may share attributes
Partition Two Dimensional Shapes
- Partition shapes into halves, thirds and fourths
- Describe a whole by the number of equal parts
- Recognize that equal shares of identical wholes may have different shapes
Perimeter of Shapes
- Understand the concept of perimeter
- Perimeter of regular shapes
- Perimeter of irregular shapes
- Find perimeter of shapes with unknown side lengths
- Find unknown side lengths given the perimeter of shapes
Area of Shapes
- Understand the concept of area
- Find area of shapes
- Understand that area is additive
Classify Shapes based on Angles & Lines
- Recognize points, lines, line segments, rays, angles
- Types of angles
- Classify shapes based on types of angles
- Types of triangles
- Parallel and perpendicular lines
- Classify shapes based on parallel sides
Recognize Lines of Symmetry
Measure Area & Perimeter of Shapes
- Find perimeter of shapes
- Find area of shapes
Measure & Classify Angles
- Understand the parts of an angle
- Measure angles using a protractor
- Use degree measure to classify angles
- Draw angles using a protractor
Coordinate Planes
- Identify coordinates for points marked on the coordinate plane
- Plot points on the coordinate plane
Classify Two Dimensional Shapes
- Classify two dimensional shapes into categories based on properties
- Hierarchies of two dimensional shapes
Understand the Concept of Volume
Measure Volume of Solids
- Find volumes of solids
- Understand that volume is additive
