Ready Classroom Mathematics K-8

Unit 1: Numbers 0−5: Counting, Writing, and Comparing

• Understand counting

• Count and write to 5

• Numbers 0 to 5

• Compare within 5

• Make 3, 4, and 5

Unit 2: Numbers 6−10: Counting and Writing, Comparing and Sorting

• Count and write to 10

• Understand 1 more

• Compare within 10

• Sort and count objects

• Make 10

• Make 6, 7, 8, and 9

Unit 3: Geometry: Naming, Comparing, and Building Shapes

• Name shapes

• See position and shape

• Compare shapes

• Build shapes

Unit 4: Numbers Within 10: Addition and Subtraction

• Understand addition

• Add within 5

• Understand subtraction

• Subtract within 5

• Practice facts to 5

• Add within 10

• Find the missing part of 10

• Subtract within 10

• Addition and subtraction work problems to 10

• Word problems with both addends unknown

Unit 5: Numbers 11−100: Teen Numbers, and Counting by 1s and 10s

• Understand teen numbers

• Count teen numbers

• Make teen numbers

• Count to 100 by tens

• Count to 100 by ones

Unit 6: Measurement: Comparing Length, Height, and Weight

• Compare length and height

• Compare weight

Unit 1: Numbers Within 10: Addition and Subtraction

• Count on to add

• Doubles and near doubles

• Add in any order

• Understand missing addends

• Number partners for 10

• Count on to subtract

• Add and subtract in word problems

• Subtract to compare in word problems

• Understand true and false equations

• Use strategies for addition and subtraction facts

Unit 2: Numbers Within 20: Addition and Subtraction and Representing Data

• Understand teen numbers

• Make a ten to add

• Totals greater than 10

• Add three numbers

• Make a ten to subtract

• Find the unknown number

• Word problems to 20

• Collect and compare data

Unit 3: Tens and Ones: Counting, Place Value, Time, and Money

• Understand tens

• Counting to 120

• Understand tens and ones

• Compare numbers

• Tell time

• Money

Unit 4: Operations with Tens and Ones: Addition and Subtraction

• Add and subtract tens

• Understand 10 more and 10 less

• Add tens to any number

• Add two-digit and one-digit numbers

• Add two-digit numbers

Unit 5: Length: Comparing, Ordering, and Measuring

• Order objects by length

• Compare lengths

• Understand length measurement

Unit 6: Geometry: Analyzing, Composing, and Partitioning Shapes

• Shapes

• Putting shapes together

• Understand breaking shapes into equal parts

Unit 1: Numbers Within 20: Addition, Subtraction, and Data

• Mental math strategies for addition

• Mental math strategies for subtraction

• Solve one-step word problems

• Draw and use bar graphs and picture graphs

• Solve two-step word problems

• Math in action: solve addition and subtraction problems

Unit 2: Numbers Within 100: Addition, Subtraction, Time, and Money

• Add two-digit numbers

• Subtract two-digit numbers

• Use addition and subtraction strategies with two-digit numbers

• Solve work problems with two-digit numbers

• Solve work problems involving money

• Tell and write time

• Math in action: work with two-digit numbers, time, and money

Unit 3: Numbers Within 1,000: Place Value, Addition, and Subtraction

• Understand three-digit numbers

• Read and write three-digit numbers

• Compare three-digit numbers

• Mental addition and subtraction

• Add three-digit numbers

• Subtract three-digit numbers

• Use addition and subtraction strategies with three-digit numbers

• Add several two-digit numbers

• Math in action: Add, subtract, and compare numbers

Unit 4: Length: Measurement, Addition and Subtraction, and Line Plots

• Measure in inches and centimeters

• Measure in feet and meters

• Understand measurement with different units

• Estimate and measure length

• Compare lengths

• Add and subtract lengths

• Add and subtract on te number line

• Read and make line plots

• Math in action: use measurement

Unit 5: Shapes and Arrays: Partitioning and Tiling Shapes, Arrays, Evens and Odds

• Recognize and draw shapes

• Understand partitioning shapes into halves, thirds, and fourths

• Partition rectangles

• Add using arrays

• Even and odd numbers

• Math in action: use shapes and even and odd numbers

Unit 1: Three-Digit Numbers: Place Value, Addition and Subtraction

• Use place value to round numbers

• Add three-digit numbers

• Subtract three-digit numbers

• Math in action: use rounding and operations

Unit 2: Multiplication and Division: Concepts, Relationships, and Patterns

• Understand the meaning of multiplication

• Multiply with 0, 1, 2, 5, and 10

• Multiply with 3, 4, and 6

• Multiply with 7, 8, and 9

• Use order and grouping to multiply

• Use place value to multiply

• Understand the meaning of division

• Understand how multiplication and division are connected

• Multiplication and division facts

• Understand patterns

• Math in action: solve multiplication and division problems

Unit 3: Multiplication: Finding Area, Solving Word Problems, and Using Scaled Graphs

• Understand area

• Multiply and find area

• Add areas

• Solve one-step word problems using multiplication and division

• Solve two-step word problems using the four operations

• Scaled graphs

• Math in actionL Use the four operations

Unit 4: Fractions: Equivalence and Comparison, Measurement, and Data

• Understand what a fraction is

• Understand fractions on a number line

• Understand equivalent fractions

• Find equivalent fractions

• Understand comparing fractions

• Use symbols to compare fractions

• Measure length and plot data on line plots

• Math in action: use fractions

Unit 5: Measurement: Time, Liquid Volume, and Mass

• Time

• Liquid volume

• Mass

• Math in action: solve measurement problems

Unit 6: Shapes: Attributes and Categories, Perimeter and Area, and Partitioning

• Understand categories of shapes

• Classify quadrilaterals

• Area and perimeter of shapes

• Partition shapes into parts with equal areas

• Math in actionL work with shapes

Unit 1: Whole Numbers: Place Value, Comparison, Addition, and Subtraction

• Understand place value

• Compare whole numbers

• Round whole numbers

• Add whole numbers

• Subtract whole numbers

• Math in action: work with whole numbers

Unit 2: Operations: Multiplication, Division, and Algebraic Thinking

• Understand multiplication as a comparison

• Multiplication and division in word problems

• Multiples and factors

• Number and shape patterns

• Model and solve multi-step problems

• Math in action: solve multiplication problems

Unit 3: Multi-Digit Operations and Measurement: Multiplication, Division, Perimeter and Area

• Multiply by one-digit numbers

• Multiply by two-digit numbers

• Use multiplication to convert measurements

• Divide three-digit numbers

• Divide four-digit numbers

• Find perimeter and area

• Math in actionL multiply and divid multi-digit numbers

Unit 4: Fractions, Decimals, and Measurement: Addition, Subtraction, and Multiplication

• Understand equivalent fractions

• Compare fractions

• Understand fraction addition and subtraction

• Add and subtract fractions

• Add and subtract mixed numbers

• Add and subtract fractions in line plots

• Understand fraction multiplication Multiply fractions by whole numbers

• Fractions as tenths and hundredths

• Relate decimals and fractions

• Compare decimals

• Problems about time and money

• Problems about length, liquid volume, madd, and weight

• Math in action: use fractions and decimals

Unit 5: Geometry and Measurement: Figures, Classification, and Symmetry

• Points, lines, rays, and angles

• Angles

• Add and subtract with angles

• Classify two-dimensional figures

• Symmetry

• Math in action: Classify shapes and angles

Unit 1: Whole Number Operations and Applications: Volume, Multiplication, and Division

• Understand volume

• Find volume using unit cubes

• Find volume using formulas

• Multiply multi-digit numbers

• Divide multi-digit numbers

• Math in action: solve multiplication and division problems

Unit 2: Decimals and Fractions: Place Value, Addition, and Subtraction

• Understand decimal place value

• Understand powers of 10

• Read and write decimals

• Compare and round decimals

• Add decimals

• Subtract decimals

• Add fractions

• Subtract fractions

• Add and subtract in word problems

• Math in action: use decimals and fractions

Unit 3: More Decimals and Fractions: Multiplication and Division

• Multiply and divide by a whole number

• Multiply decimals

• Divide decimals

• Fractions as decimals

• Understand multiplication by a fractions

• Multiply fractions to find area

• Understand multiplication as scaling

• Multiply fractions in word problems

• Understand division with unit fractions

• Divide unit fractions in word problems

• Math in action: use fractions and decimals

Unit 4: Measurement, Data, and Geometry: Converting Units, Using Data, and Classifying Figures

• Convert measurement units

• Solve word problems involving conversions

• Make line plots and interpret data

• Understand categories of two-dimensional figures

• Classify two-dimensional figures

• Math in action: work with measurement and data

Unit 5: Algebraic Thinking and the Coordinate Plane: Expressions, Graphing Points, Patterns and Relationships

• Evaluate, write, and interpret expressions

• Understand the coordinate plane

• represent problems in the coordinate plane

• Analyze patterns and relationships

• Math in action: work with coordinates and patterns

Unit 1: Expressions and Equations: Area, Algebraic Expressions, and Exponents

• Find the area of parallelogram

• Find the area of triangles and other polygons

• Use nets to find surface area

• Work with algebraic expressions

• Write and evaluate expressions with exponents

• Find greatest common factor and least common multiple

• Math in action: area, surface area, and algebraic expressions

Unit 2: Decimals and Fractions: Base-Ten Operations, Division with Fractions, and Volume

• Add, subtract, and multiply multi-digit decimals

• Divide whole numbers and multi-digit decimals

• Understand division with fractions

• Divde fractions

• Solve volume problems with fractions

• Math in action: volume and operations with decimals and fractions

Unit 3: Ratio Reasoning: Ratio Concepts and Equivalent Ratios

• Understand ratio concepts

• Find equivalent ratios

• Use part-to-art and part-to-while ratios

• Math in action: ratios

Unit 4: Ratio Reasoning: Unit Rates and Percent

• Understand rate concepts

• Use unit rates to solve problems

• Understand percents

• Use percents to solve problems

• Math in action: rates, unit rates, and percents

Unit 5: Algebraic Thinking: Equivalent Expressions and Equations with Variables

• Write and identify equivalent expressions

• Understand solutions of equations

• Write and solve one-variable equations

• Analyze tow- variable relationships

• Math in action: Expressions and equations

Unit 6: Positive and Negative Numbers: Absolute Value, Inequalities, and the Coordinate Plane

• Understand positive and negative numbers

• Order positive and negative numbers

• Understand absolute value

• Write and graph one-variable inequalities

• Understand the four-quadrant coordinate plane

• Solve problems in the coordinate plane

• Math in action negative numbers, inequalities, and the coordinate plane

Unit 7: Statistical Thinking: Data Distributions and Measures of Center and Variability

• Understand statistical questions and data distributions

• Use dot plots and histograms to describe data distributions

• Interpret median and interquartile range in box plots

• Interpret mean and mean absolute deviation

• Use measures of center and variability to summarize data

• Math in action: Statistical questions and measures of center and variability

Unit 1: Proportional Relationships: Ratios, Rates, and Circles

• Solve problems involving scale

• Find unit rates involving ratios of fractions

• Understand proportional relationships

• Represent proportional relationships

• Solve proportional relationship problems

• Solve area and circumference problems involving circles

• Math in action: scale drawing, ratios, and proportions

Unit 2: Numbers and Operations: Add and Subtract Rational Numbers

• Understand addition with negative integers

• Add with negative numbers

• Understand subtraction with negative integers

• Add and subtract positive and negative numbers

• Math in action: adding positive and negative numbers

Unit 3: Numbers and Operations: Multiply and Divide Rational Numbers

• Understand multiplication with negative integers

• Multiply and divide with negative numbers

• Express rational numbers as terminating or repeating decimals

• Use the four operations with negative numbers

• Math in action: use rational numbers

Unit 4: Algebraic Thinking: Expressions, Equations, and Inequalities

• Write equivalent expressions involving rational numbers

• Understand reasons for rewriting expressions

• Understand multi-step equations

• Write and solve multi-step equations

• Write and solve inequalities

• Math in action: Expressions, equations, and inequalities

Unit 5: Proportional Reasoning: Percents and Statistical Samples

• Solve problems with percents

• Solve problems involving percent change and percent error

• Understand random sampling

• Reason about random sampling

• Compare populations

• Math in action: percents and random sampling

Unit 6: Geometry: Solids, Triangles, and Angles

• Solve problems involving area and surface area

• Solve problems involving volume

• Describe plane sections of three-dimensional figures

• Find unknown angle measures

• Draw plane figures with given conditions

• Math in action: solid figures and plane figures

Unit 7: Probability: Theoretical Probability, Experimental Probability, and Compound Events

• Understand probability

• Solve problems involving experimental probability

• Solve problems involving probability models

• Solve problems involving compound events

• Math in action: probability

Unit 1: Geometric Figures: Rigid Transformations and Congruence

• Understand rigid transformations and their properties

• Work with single rigid transformations in the coordinate plane

• Work with sequences of transformations and congruence

• Math in action: rigid transformation in the coordinate plane

Unit 2: Geometric Figures: Transformations, Similarity, and Angle Relationships

• Understand dilations and similarity

• Perform and describe transformations involving dilations

• Describe angle relationships

• Describe angle relationships in triangles

• Math in action: dilations, similarity, and angle relationships

Unit 3: Linear Relationships: Slope, Linear Equations, and Systems

• Graph proportional relationships and define slope

• Derive and graph linear equations of the form y=mx+b

• Solve linear equations in one variable

• Determine the number of solutions to one-variable equations

• Understand systems of linear equations in two variables

• Solve systems of linear equations algebraically

• Represent and solve problems with systems of linear equations

• Math in action: linear relationships and systems of equations

Unit 4: Functions: Linear and Nonlinear Relationships

• Understand functions

• Use functions to model linear relationships

• Compare different representations of functions

• Analyze functional relationships qualitatively

• Math in action: functional relationships

Unit 5: Integer Exponents: Properties and Scientific Notation

• Apply exponent properties for positive integer exponents

• Apply exponent properties for all integer exponents

• Express numbers using integer powers of 10

• Work with scientific notation

• Math in action: Scientific notations and properties of exponents

Unit 6: Real Numbers: Rational Numbers, Irrational Numbers, and the Pythagorean Theorem

• Find square roots and cube roots to solve problems

• Express rational numbers as fractions and decimals

• Find rational approximations of irrational numbers

• Understand the Pythagorean Theorem and its converse

• Apply the Pythagorean Theorem

• Solve problems withe volumes of cylinders, cones, and spheres

• Math in action: irrational numbers, the Pythagorean Theorem, and volume

Unit 7: Statistics: Two-Variable Data and Fitting a Linear Model

• Analyze scatter plots and fit a linear model to data

• Write and analyze an equation for fitting a linear model to data

• Understand two-way tables

• Construct and interpret two-way tables

• Math in action: representing data