Counting to 100
Count by ones and tens; know number names and sequence
Math
Aligned to CCSS-M. 134 tools.
Ready now
Nothing here is built yet. Everything on this page is still on the bench.
How Many?
Count objects to tell how many; one-to-one correspondence
More, Less, Same
Compare groups and numerals up to 10
Putting Together and Taking Apart
Add and subtract within 10 with objects and drawings
Teen Numbers
Compose and decompose 11-19 as ten ones and some more
Longer, Heavier, Bigger
Describe and compare measurable attributes
Sort and Count
Classify objects into categories and count them
Shapes All Around
Identify and describe 2D and 3D shapes and positions
Build a Shape
Analyze, compare, create and compose shapes
Addition and Subtraction Stories
Solve word problems within 20
Fact Strategies
Properties of operations, making ten, fact families within 20
The Equal Sign
Understand equality and find unknowns in equations
Counting to 120
Count, read and write numerals to 120
Tens and Ones
Place value of two-digit numbers; compare with > = <
Adding Tens and Ones
Add and subtract within 100 using place value
Measuring Length
Order objects by length; measure with same-size units
Telling Time to the Half Hour
Read analog and digital clocks
Picture Graphs and Tallies
Organize, represent and interpret data with up to three categories
Halves and Fourths
Compose shapes and partition into equal shares
Two-Step Word Problems
Add and subtract within 100 in one- and two-step problems
Fluency Within 20
Mental strategies for addition and subtraction facts
Odd, Even and Arrays
Equal groups as a foundation for multiplication
Hundreds, Tens and Ones
Place value to 1000; skip counting; compare three-digit numbers
Adding and Subtracting to 1000
Strategies based on place value and properties
Rulers and Units
Measure and estimate lengths in standard units
Time and Money
Tell time to five minutes; solve money problems
Line Plots and Bar Graphs
Represent and interpret data
Shapes and Equal Shares
Recognize shape attributes; partition rectangles into rows and columns
Meaning of Multiplication and Division
Equal groups, arrays and unknown factors
Times Tables Fluency
Multiply and divide within 100
Patterns and Two-Step Problems
Solve two-step problems; explain arithmetic patterns
Rounding and Multi-Digit Operations
Round to 10 and 100; add and subtract within 1000
Fractions as Numbers
Unit fractions, fractions on a number line, equivalent fractions
Time, Volume and Mass
Elapsed time; liquid volume and mass
Scaled Graphs
Scaled picture and bar graphs; line plots with fractions
Area
Understand area; relate area to multiplication
Perimeter
Solve perimeter problems; distinguish from area
Quadrilaterals
Classify shapes by attributes; partition into equal areas
Multiplicative Comparison
Word problems with multiplication as comparison; remainders
Factors and Multiples
Prime and composite numbers; factor pairs
Number Patterns
Generate and analyze patterns that follow a rule
Place Value to a Million
Read, write, compare and round multi-digit numbers
Multi-Digit Multiplication and Division
Multiply up to 4 by 1 and 2 by 2 digits; divide by 1 digit
Equivalent Fractions and Comparing
Generate equivalent fractions; compare unlike fractions
Adding and Multiplying Fractions
Build fractions from unit fractions; whole number times fraction
Decimals
Decimal notation for tenths and hundredths
Measurement Conversions
Convert units within one system; area and perimeter formulas
Angles and Line Plots
Angle concepts and protractors; line plots of fractional measurements
Lines, Angles and Symmetry
Classify figures by lines and angles; lines of symmetry
Expressions and Order of Operations
Write and interpret numerical expressions with grouping symbols
Patterns and Relationships
Generate two patterns and graph ordered pairs
Powers of Ten and Decimals
Place value system; read, compare and round decimals to thousandths
Operations with Whole Numbers and Decimals
Fluent multi-digit multiplication; divide; decimal operations to hundredths
Adding Unlike Fractions
Add and subtract fractions with unlike denominators
Multiplying and Dividing Fractions
Fraction multiplication as scaling; divide with unit fractions
Units and Line Plots
Convert measurement units; line plots with fractional data
Volume
Understand volume; volume of rectangular prisms
The Coordinate Plane
Graph points in the first quadrant to solve problems
Classifying 2D Figures
Hierarchy of shapes by properties
Ratios and Rates
Ratio language, unit rates, percents, tables and double number lines
Dividing Fractions
Divide fractions by fractions
Multi-Digit and Decimal Fluency
Divide multi-digit numbers; operate with decimals; GCF and LCM
Negative Numbers
Rational numbers on the number line; absolute value; coordinate plane in four quadrants
Expressions and Exponents
Write, read, evaluate and simplify expressions
One-Step Equations and Inequalities
Solve and write one-variable equations and inequalities
Dependent and Independent Variables
Relationships between quantities in tables, graphs and equations
Area, Surface Area and Volume
Area of polygons; nets; volume with fractional edges
Statistical Variability
Statistical questions; center, spread and shape
Summarizing Data
Dot plots, histograms, box plots; mean, median, MAD
Proportional Relationships
Unit rates with fractions; constant of proportionality; percent problems
Operations with Rational Numbers
Add, subtract, multiply and divide signed numbers
Equivalent Expressions
Use properties to rewrite linear expressions
Multi-Step Equations and Inequalities
Real-world problems with equations and inequalities
Scale Drawings and Constructions
Scale drawings; draw geometric figures; cross sections
Circles, Angles, Area and Volume
Circumference and area of circles; angle relationships; surface area and volume
Sampling and Inference
Random samples; compare two populations
Probability
Chance events, simulations and compound probability
Irrational Numbers
Rational approximations of irrational numbers
Exponents, Roots and Scientific Notation
Integer exponents, square and cube roots, scientific notation
Slope and Proportional Relationships
Graph proportional relationships; slope with similar triangles
Linear Equations and Systems
Solve linear equations and systems of two equations
Defining Functions
Functions as rules; compare representations; linear vs nonlinear
Modeling with Functions
Construct linear models; describe graphs qualitatively
Transformations
Rotations, reflections, translations, dilations; congruence and similarity
The Pythagorean Theorem
Explain and apply the Pythagorean theorem
Volume of Cylinders, Cones and Spheres
Volume formulas and problems
Bivariate Data
Scatter plots, lines of fit and two-way tables
Rational Exponents and Real Numbers
Extend exponents to rational values; properties of rational and irrational numbers
Units and Quantities
Reason quantitatively and use units to solve problems
Structure of Expressions
Interpret and rewrite expressions; factor and complete the square
Polynomial Arithmetic
Add, subtract and multiply polynomials
Creating Equations
Create equations and inequalities that describe relationships
Solving Linear Equations and Inequalities
Solve equations and inequalities in one variable
Systems of Equations
Solve systems algebraically and graphically
Function Notation and Graphs
Domain, range, key features and rate of change
Linear, Quadratic and Exponential Models
Compare and build models; transformations of graphs
Quadratic Equations
Solve quadratics by factoring, completing the square and formula
Data in One and Two Variables
Distributions, scatter plots, residuals and correlation
Rigid Motions and Congruence
Transformations as functions; triangle congruence
Proofs and Constructions
Prove theorems about lines, angles, triangles and parallelograms; constructions
Similarity
Dilations and similar triangles
Right Triangle Trigonometry
Sine, cosine, tangent and solving right triangles
Circles
Arcs, angles, chords, tangents, sectors and radians
Coordinate Geometry
Equations of conics; prove properties with coordinates
Volume and Cross Sections
Volume formulas; 2D cross sections and solids of rotation
Modeling with Geometry
Apply geometric concepts to real situations and design
Probability Rules
Independence, conditional probability and the addition rule
Complex Numbers
Operations with complex numbers; complex solutions to quadratics
Polynomial Functions
Remainder theorem, zeros and graphs; polynomial identities
Rational Expressions and Equations
Rewrite rational expressions; extraneous solutions
Exponential and Logarithmic Functions
Logarithms, growth and decay models
Trigonometric Functions
Unit circle, radian measure and periodic models
Building and Inverting Functions
Combine functions; find inverses; transformations
Sequences and Series
Arithmetic and geometric sequences; finite geometric series
Statistical Inference
Normal distributions, sampling, surveys, experiments and margin of error
Functions and Their Graphs
Families of functions, composition, inverses and asymptotes
Trigonometric Identities and Equations
Identities, inverse trig and solving equations
Vectors
Vector quantities, operations and applications
Matrices
Matrix operations and solving systems
Polar Coordinates and Complex Plane
Polar form and graphs; complex numbers in the plane
Conic Sections
Parabolas, ellipses and hyperbolas
Limits and Rates of Change
Intuitive limits and average to instantaneous rate
Exploring Data
Describe distributions and relationships
Sampling and Experiments
Design studies; bias; random assignment
Probability and Random Variables
Probability models, expected value, binomial and geometric
Sampling Distributions
Variation in statistics from sample to sample
Confidence Intervals and Significance Tests
Inference for proportions and means
Chi-Square and Regression Inference
Inference for categorical data and slopes
Limits and Continuity
Limits, continuity and asymptotic behavior
The Derivative
Derivative as rate of change; rules of differentiation
Applications of Derivatives
Related rates, optimization and curve sketching
The Integral
Riemann sums, accumulation and the Fundamental Theorem
Applications of Integrals
Area, volume and motion
Differential Equations
Slope fields and exponential models