Grades 1 to 8
Common Core standards define what students need to know in each grade. The standards are rigorous and challenging. Core Concepts is allnew math and language arts content, written by experts who have participated in writing Common Core books and test questions for the major testing contractors. As a bonus, a fundamental science series is added to this curriculum.
Additional Foundation Skills!
Subscriptions include extra lessons that cover the essential skills that your child must master to handle the more challlenging Common Core concepts. Students can move up or down a grade level, according to their needs.
Curriculum Guide
What Your 1^{st} Grader Needs to Know
Students develop strategies for adding and subtracting whole numbers based on their prior work with small numbers. They use a variety of models, including discrete objects and lengthbased models (e.g., cubes connected to form lengths), to model addto, takefrom, puttogether, takeapart, and compare situations to develop meaning for the operations of addition and subtraction, and to develop strategies to solve arithmetic problems with these operations. Students understand connections between counting and addition and subtraction (e.g., adding two is the same as counting on two). They use properties of addition to add whole numbers and to create and use increasingly sophisticated strategies based on these properties (e.g., “making tens”) to solve addition and subtraction problems within 20. By comparing a variety of solution strategies, children build their understanding of the relationship between addition and subtraction. (2) Students develop, discuss, and use efficient, accurate, and generalizable methods to add within 100 and subtract multiples of 10. They compare whole numbers (at least to 100) to develop understanding of and solve problems involving their relative sizes. They think of whole numbers between 10 and 100 in terms of tens and ones (especially recognizing the numbers 11 to 19 as composed of a ten and some ones). Through activities that build number sense, they understand the order of the counting numbers and their relative magnitudes. (3) Students develop an understanding of the meaning and processes of measurement, including underlying concepts such as iterating (the mental activity of building up the length of an object with equalsized units) and the transitivity principle for indirect measurement. (4) Students compose and decompose plane or solid figures (e.g., put two triangles together to make a quadrilateral) and build understanding of partwhole relationships as well as the properties of the original and composite shapes. As they combine shapes, they recognize them from different perspectives and orientations, describe their geometric attributes, and determine how they are alike and different, to develop the background for measurement and for initial understandings of properties such as congruence and symmetry. 

Grade 1 Math LessonsFoundations Basic Addition Basic Subtraction Represent Fractions Money Transformations Number & Operations in Base Ten 1.NBT.1 Counting 1.NBT.1 ReadWrite Numbers 1.NBT.2 Place Value 1.NBT.3 Compare Numbers 1.NBT.4 Add with Regrouping 1.NBT.5 Sums & Differences of Ten Operations & Algebraic Thinking 1.OA.1 Word Problems 1.OA.3 Properties of Operations 1.OA.4 Subtraction Fact Families Measurement & Data 1.MD.1 Compare & Order Objects 1.MD.2 Measure Length 1.MD.3 Tell Time 1.MD.4 Graphs & Charts Geometry 1.G.1 Shapes & Attributes 1.G.2 Combining Shapes 1.G.3 Parts of a Whole 
Grade 1 Language Arts LessonsFoundations Multiple Meanings Inferences Sequence Language L.1.1 Adjectives L.1.2 End Punctuation L.1.2 Capitalization L.1.2 Commas L.1.1 Conjunctions L.1.1 Noun Usage L.1.1 Pronoun Usage L.1.1 Preposition Usage L.1.1 SubjectVerb Agreement L.1.1 Verb Tenses L.1.2 Spelling Reading R.1.1 Key Details R.1.2 Main Idea R.1.3 Literary Elements R.1.4 Figurative Language R.1.3 Compare and Contrast R.1.6 Point of View 
What Your 2^{nd} Grader Needs to KnowInstructional time should focus on four critical areas:
Students understand the relationship among numbers, quantities, and place value in whole numbers up to 100. They understand that fractions may refer to parts of a set and parts of a whole. Students use their understanding of addition to develop fluency with addition and subtraction within 100. They model, represent, and interpret number relationships to create and solve problems involving addition and subtraction. Students describe and analyze shapes by examining their sides and investigate, describe, and reason about decomposing and combining shapes to make other shapes. Students understand how to measure length, temperature, capacity, weight, and time in standard units. They choose, combine, and apply effective strategies for solving problems in reasonable ways and justifying their reasoning. 

Grade 2 Math LessonsFoundations Basic Subtraction Add with Regrouping Subtract with Regrouping Number & Operations in Base Ten 2.NBT.1 Place Value 2.NBT.2 Skip Counting 2.NBT.3 ReadWrite Numbers 2.NBT.4 Compare Numbers 2.NBT.5 AddSubtract to 100 2.NBT.7 AddSubtract to 1,000 2.NBT.8 AddSubtract 10 & 100 2.NBT.9 Properties of Addition Operations & Algebraic Thinking 2.OA.1 Word Problems 2.OA.2 AddSubtract to 20 2.OA.3 Odds and Evens 2.OA.4 Arrays Measurement & Data 2.MD.1 Measure Length 2.MD.3 Estimate Length 2.MD.4 Measure Difference 2.MD.7 Tell Time 2.MD.8 Money Geometry 2.G.1 Shapes 2.G.2 Introduction to Area 2.G.3 Parts of a Whole 
Grade 2 Language Arts LessonsFoundations Synonyms and Antonyms Details Inferences Sequence Language L.2.1 Adjectives &Adverbs L.2.1 Irregular Verbs L.2.1 Noun Usage L.2.1 Pronoun Usage L.2.1 Sentence Structure L.2.2 Capitalization L.2.2 Spelling L.2.4 Affixes L.2.4 Words in Context Reading R.2.1 Key Details R.2.2 Main Idea R.2.3 Characterization R.2.4 Poetic Structure R.2.5 Story Structure R.2.7 Author’s Purpose 
What Your 3^{rd} Grader Needs to Know
Students understand the relationships among numbers, quantities, and place value in whole numbers up to 1,000. They understand the relationship among whole numbers, simple fractions, and decimals. Students solve problems involving addition and subtraction and develop an understanding of the meanings of multiplication and division of whole numbers through activities and problems involving equalsized groups, arrays, and area models. They solve simple problems involving multiplication and division. Students select appropriate symbols, operations, and properties to represent, describe, simplify, and solve simple number and functional relationships. Students describe, analyze, and compare properties of twodimensional shapes. They compare and classify shapes by their sides and angles, and connect these with definitions of shapes. Students choose and use appropriate units and measurement tools for length, capacity, weight, temperature, time and money. They choose, combine, and apply effective strategies for solving problems in reasonable ways, justifying their reasoning, and determine when a solution is complete and reasonable and move beyond a particular problem by generalizing to other situations. 

Grade 3 Math LessonsFoundations Basic Division Tell Time Word Problems Number Patters Number & Operations in Base Ten 3.NBT.1 Estimation & Rounding 3.NBT.2 Add and Subtract 3.NBT.3 Multiply by Tens Number and OperationsFractions 3.NF.1 Represent Fractions 3.NF.2 Number Line 3.NF.3 Compare & Order Fractions 3.NF.3 Equivalent Fractions Operations & Algebraic Thinking 3.OA.3 Model MultiplicationDivision 3.OA.4 Number Sentences 3.OA.8 Represent Word Problems 3.OA.8 Solve Word Problems 3.OA.9 Patterns Measurement & Data 3.MD.1 Elapsed Time 3.MD.2 Weight & Capacity 3.MD.3 Graphs and Charts 3.MD.4 Line Plots 3.MD.5 Area and Perimeter Geometry 3.G.1 Classify Shapes 3.G.2 Parts of a Whole 
Grade 3 Language Arts LessonsFoundations End Punctuation and Commas SubjectVerb Agreement Details Inferences Sequence Language L.3.1 Adjectives &Adverbs L.3.1 Conjunctions L.3.1 Noun Usage L.3.1 Pronoun Usage L.3.1 Sentence Structure L.3.1 Verb Tenses L.3.2 Capitalization L.3.2 Punctuation L.3.2 Spelling Reading R.3.1 Key Details R.3.2 Main Idea R.3.3 Sequence R.3.4 Figurative Language R.3.4 Words In Context R.3.6 Point of View R.3.9 Compare and Contrast 
What Your 4^{th} Grader Needs to KnowIn Grade 4, instructional time should focus on three critical areas:
Students generalize their understanding of place value to 1,000,000, understanding the relative sizes of numbers in each place. They understand decimals to two decimal places and how whole number and decimals relate to simple fractions. Students solve problems involving addition, subtraction, multiplication, and division of whole numbers, as well as solve simple fraction and decimal problems. They use and interpret variables, mathematical symbols, and properties to write and simplify numerical expressions and sentences. Students describe, analyze, compare, and classify twodimensional shapes. Through building, drawing, and analyzing twodimensional shapes, students deepen their understanding of properties of twodimensional objects and the use of them to solve problems involving symmetry. Students understand perimeter and area, as well as measuring volume, capacity, time, and money. They represent data on a number line and in frequency tables, interpret data graphs to answer questions, and show outcomes for simple probability situations. 

Grade 4 Math LessonsFoundations Multiply with Regrouping Long Division Represent Fractions Area and Perimeter Number & Operations in Base Ten 4.NBT.1 Place Value 4.NBT.2 Compare & Order 4.NBT.2 ReadWrite Numbers 4.NBT.3 Estimation & Rounding 4.NBT.4 AddSubtract MultiDigits 4.NBT.5 Multiply MultiDigits 4.NBT.6 Divide MultiDigits Number and OperationsFractions 4.NF.1 Equivalent Fractions 4.NF.2 Compare Fractions 4.NF.3 AddSubtract Fractions 4.NF.4 Multiply Fractions Operations & Algebraic Thinking 4.OA.1 Number Sentences 4.OA.2 Word Problems 4.OA.3 Estimation & Rounding 4.OA.4 Factor Pairs 4.OA.5 Patterns Measurement & Data 4.MD.1 Conversions 4.MD.2 Elapsed Time 4.MD.2 Money 4.MD.2 Volume & Mass 4.MD.3 Area & Perimeter 4.MD.4 Line Plots 4.MD.5 Angles Geometry 4.G.1 2D Lines & Angles 4.G.2 Classify Shapes 4.G.3 Symmetry 
Grade 4 Language Arts LessonsFoundations Inferences Sequence Punctuation Sentence Structure Language L.4.1 Adjectives L.4.1 Pronoun Usage L.4.1 Sentence Structure L.4.1 Verb Tenses L.4.2 Conjunctions L.4.2 Capitalization L.4.2 Punctuation L.4.2 Spelling Reading R.4.1 Inferences R.4.1 Key Details R.4.2 Main Idea R.4.2 Summarization R.4.3 Literary Elements R.4.6 Point of View R.4.8 Supporting Details 
What Your 5^{th} Grader Needs to KnowIn Grade 5, instructional time should focus on three critical areas:
Students solve problems involving multiplication and division of whole numbers and solve problems involving addition, subtraction, and simple multiplication and division of fractions and decimals. They understand the relationship among decimals, fractions, and percents and they understand the relative magnitudes of numbers. Students use variables in simple expressions, compute the value of an expression for specific values of the variable, and plot and interpret the results. They use twodimensional coordinate grids to represent points and graph lines. Students identify, describe, and classify the properties of plane and solid geometric shapes and the relationship between them. They recognize volume as an attribute of threedimensional space, aw well as measure weight, temperature, time and money. Students collect, display, analyze, compare and interpret data sets. Students choose, combine, and apply effective strategies for solving problems in reasonable ways and justifying their reasoning. They determine when a solution is complete and reasonable and move beyond a particular problem by generalizing to other situations. 

Grade 5 Math LessonsFoundations Long Division Multiply with Regrouping Number Patterns Expressions Weight and Capacity Graphs and Charts Number & Operations in Base Ten 5.NBT.1 Place Value 5.NBT.2 Exponents 5.NBT.3 Compare Decimals 5.NBT.3 Expanded Form 5.NBT.3 ReadWrite Decimals 5.NBT.5 Multiply MultiDigits 5.NBT.6 Divide MultiDigits 5.NBT.7 Model Decimals Number and OperationsFractions 5.NF.1 AddSubtract Fractions 5.NF.2 Model Fractions 5.NF.3 Divide Fractions 5.NF.4 Multiply Fractions Operations & Algebraic Thinking 5.OA.1 Substitution 5.OA.2 Expressions 5.OA.3 Patterns Measurement & Data 5.MD.1 Conversions 5.MD.2 Line Plots 5.MD.4 Volume Geometry 5.G.1 Coordinate Geometry 5.G.3 2D Figures 
Grade 5 Language Arts LessonsFoundations Words in Context Author’s Purpose Details Literary Elements Language L.5.1 Conjunctions L.5.1 Verb Tenses L.5.2 Punctuation L.5.2 Spelling L.5.3 Sentence Structure L.5.4 Affixes Reading R.5.1 Inferences R.5.2 Main Idea R.5.2 Summarization R.5.3 Compare & Contrast R.5.4 Figurative Language R.5.6 Point of View R.5.8 Supporting Details 
What Your 6^{th} Grader Needs to KnowIn Grade 6, instructional time should focus on four critical areas:
Students perform operations on positive and negative integers, decimals, fractions, and mixed numbers. They find multiples and factors and solve problems involving ratios, proportions, and percentages. They construct and evaluate algebraic expressions, solve simple linear equations, and graph and interpret their result. They identify, describe, and classify the properties of plane and solid geometric shapes and the relationships between them, and investigate geometric relationships algebraically. Students extend their knowledge of plane and solid shapes to measurement and use this understanding to solve problems. They solve problems involving time and money and choose appropriate units in other areas. Students analyze data sets statistically and determine theoretical and experimental probabilities, using these probabilities to make predictions. Throughout the course, students use strategies, skill and concepts in finding and communicating solutions to problems and move beyond a particular problem by generalizing to other situations. 

Grade 6 Math LessonsFoundations Compute Percents Equivalent Forms Area and Perimeter Expressions Probability The Number System 6.NS.1 Divide Fractions 6.NS.2 Divide MultiDigits 6.NS.3 AddSubtract Decimals 6.NS.3 MultiplyDivide Decimals 6.NS.4 Greatest Common Factors 6.NS.6 Number Lines Ratios & Proportional Relationships 6.RP.1 Ratios 6.RP.2 Unit Rates 6.RP.3 Graph Rates 6.RP.3 Measurement Ratios 6.RP.3 Rates and Percents Expressions & Equations 6.EE.1 Order of Operations 6.EE.2a Write Expressions 6.EE.2b Terms of Expressions 6.EE.2c Evaluate Expressions 6.EE.3 Properties of Operations 6.EE.4 Simplify Expressions Geometry 6.G.1 Area of Composite Figures 6.G.2 Volume Fractional Edges 6.G.3 Polygons on Grids 6.G.4 Surface Area of Nets Statistics and Probability 6.SP.1 Statistical Questions 6.SP.2 Box Plots 6.SP.3 Mean Absolute Deviation 6.SP.3 Measures of Center 6.SP.4 Histograms 6.SP.4 Line Plots 
Grade 6 Language Arts LessonsFoundations Author’s Purpose Details Inferences Literary Elements Language L.6.1 Pronoun Forms L.6.2 Capitalization L.6.2 Parentheses and Dashes L.6.2 SpellingL.6.4 Affixes L.6.4 Words in Context Reading R.6.1 Inferences R.6.1 Supporting Details R.6.2 Main Idea R.6.2 Summarization R.6.3 Plot R.6.4 Figurative Language R.6.6 Author’s Purpose 
What Your 7^{th} Grader Needs to KnowIn Grade 7, instructional time should focus on four critical areas:
Students solve problems involving integers, fractions, decimals, ratios, percentages, scientific notation and square roots, converting between each of these forms as appropriate. They express quantitative relationships algebraically, using correct terminology, expressions, equations, inequalities, and graphs. They manipulate plane and solid geometric shapes and use similarity and congruence to solve problems. They analyze and compute measures of common geometric objects (including perimeter, area, and volume) and use these results to find measures of irregular objects. Students generate and analyze data sets, identifying relationships among variables within a data set. They determine probabilities and use them to make predictions. Throughout the course, students use strategies, skill and concepts in finding and communicating solutions to problems and move beyond a particular problem by generalizing to other situations. 

Grade 7 Math LessonsThe Number System 7.NS.1 AddSubtract Signed Numbers 7.NS.2 MultiplyDivide Signed Numbers 7.NS.2a FractionsMultiply 7.NS.2b FractionsDivide 7.NS.2d FractionDecimal Conversions 7.NS.3 OperationsReal World Ratios and Proportions 7.RP.1 Compute Unit Rate 7.RP.2b Identify Unit Rate 7.RP.2d Graph Rates 7.RP.3 Percent Increase 7.RP.3 Solving Proportions Expressions & Equations 7.EE.1 Simplify Expressions 7.EE.2 Rewriting Expressions 7.EE.3 RealLife Problems 7.EE.4 SolveGraph Inequalities Geometry 7.G.1 Scale Drawings 7.G.3 Plane Sections of 3D Figures 7.G.4 Circle Measurements 7.G.5 Complementary Angles 7.G.5 Transversals 7.G.6 AreaVolume Dimensions Statistics and Probability 7.SP.1 Random Samples 7.SP.2 Multiple Random Samples 7.SP.3 Comparing Variabilities 7.SP.4 Comparing Box Plots 7.SP.4 Comparing Box Plots 7.SP.8 Compound Probability 
Grade 7 Language LessonsLanguage L.7.1 Misplaced Modifiers L.7.2 Capitalization L.7.2 Spelling L.7.3 Fragments and RunOns L.7.4 Affixes Reading Lessons R.7.1 Supporting Details R.7.2 Summarization R.7.3 Literary Elements R.7.3 Plot R.7.4 Figurative Language R.7.6 Author’s Purpose R.7.8 Reasoning & Validity 
What Your 8^{th} Grader Needs to KnowIn Grade 8, instructional time should focus on three critical areas:
Students extend their knowledge of number sense to rational and irrational numbers and use and understand exponents, powers, and roots. They solve problems and make computations involving rational numbers, as well as problems involving ratios, proportions, and percentages. They solve linear equations and inequalities, and extend their previous knowledge of linear expressions to interpret and evaluate expressions with integer powers. They graph and interpret functions, understanding the concepts of slope and rate of change. They deepen their understanding of plane and solid geometric shapes and properties by construction shapes that meet given conditions, by identifying attributes of shapes, and by applying geometric concepts to solve problems. They apply scale factors to shapes and measurement of shapes, and use this understanding to solve problems. Students generate and analyze data sets, identifying relationships among variables within a data set. They determine probabilities and use them to make predictions. Throughout the course, students use strategies, skill and concepts in finding and communicating solutions to problems and move beyond a particular problem by generalizing to other situations. 

Grade 8 Math LessonsThe Number System 8.NS.1 Compare and Order 8.NS.1 RationalIrrational Numbers 8.NS.2 Compare Irrational Numbers Functions 8.F.1 Functions and Relations 8.F.3 LinearNonlinear Graphs 8.F.4 Constructing Functions Expressions & Equations 8.EE.1 Integer Exponents 8.EE.2 Square Roots 8.EE.3 Scientific Notation 8.EE.4 Scientific Notation Operations 8.EE.5 Graph Proportional Relationships 8.EE.6 SlopeIntercept Formula Geometry 8.G.3 Dilations on Grids 8.G.2 Transformations on Grids 8.G.5 Transversals 8.G.7 Pythagorean Theorem 8.G.8 PythagoreanCoordinates 8.G.9 Volumes Statistics and Probability 8.SP.1 Patterns of Association 8.SP.3 Bivariate Data 8.SP.4 TwoWay Tables 
Grade 8 Language Arts LessonsLanguage L.8.1 Active and Passive Voice L.8.1 Verb Moods L.8.2 Capitalization L.8.2 Spelling L.8.4 Affixes Reading R.8.1 Supporting Details R.8.2 Main Idea R.8.2 Summarization R.8.3 Cause & Effect R.8.3 Compare & Contrast R.8.4 Figurative Language R.8.8 Reasoning & Validity 
 Common Core State Standards Initiative
“Aligned To” is Not Good Enough!
CCSS standards are different: