The right standards True to the details and intent of the For years, studies such as the Trends in International Mathematics and Science Study (TIMSS) have shown that students in the U.S. lag behind other countries in Mathematics. To address this achievement gap, researchers have recommended that the U.S. switch from a mile-wide inch-deep curriculum, which devotes less time per topic, to curriculum that has focus and coherent progressions. High performing countries use this model, which entails taking the time to lay a strong foundation, and then building knowledge on top of that foundation. The U.S. has now officially made that shift focus and coherence are the two major evidence-based design principles of the Common Core State Standards for Mathematics. Focus and Coherence in Ready Mathematics Because the Ready program was built from the ground up with no repurposed content, it is a coherent K 8 curriculum linked across the grades. Each lesson specifically reflects the same focus as the Common Core Mathematics Standards. In fact, the majority of the lessons in each grade directly address the major focus of the year. Plus, there is at least one lesson for each standard. Unit 1: Counting and Cardinality, Numbers 1 5 Lesson 1: Understand Counting........................ 1 K.CC.B.4a, K.CC.B.4b Lesson 2: Count 1, 2, and 3..........................5 K.CC.A.3, K.CC.B.4a, K.CC.B.4b, K.CC.B.5 Lesson 3: Count 4...............................9 K.CC.A.3, K.CC.B.4a, K.CC.B.4b, K.CC.B.5 Lesson 4: Count 5.............................. 13 K.CC.A.3, K.CC.B.4a, K.CC.B.4b, K.CC.B.5 Lesson 5: Compare Within 5......................... 17 K.CC.B.4c, K.CC.C.6, K.CC.C.7 Lesson 6: Make 3, 4, and 5......................... 21 K.OA.A.3, K.OA.A.5 Unit 2: Counting and Cardinality, Numbers 6 9 Lesson 7: Count 6 and 7........................... 25 K.CC.A.3, K.CC.B.4a, K.CC.B.4b, K.CC.B.5 Lesson 8: Make 6 and 7........................... 29 K.OA.A.3 Lesson 9: Count 8 and 9........................... 33 K.CC.A.3, K.CC.B.4a, K.CC.B.4b, K.CC.B.5 Lesson 10: Make 8 and 9........................... 37 K.OA.A.3 Unit 3: Counting and Cardinality, Numbers to 10 Lesson 11: Count 10.............................. 41 K.CC.A.3, K.CC.B.4a, K.CC.B.4b, K.CC.B.5 Lesson 12: Compare Within 10........................ 45 K.CC.B.4c, K.CC.C.6, K.CC.C.7 Lesson 13: Make 10.............................. 49 K.OA.A.3, K.OA.A.4 Unit 4: Operations and Algebraic Thinking Lesson 14: Understand Addition....................... 53 K.OA.A.1 Lesson 15: Add Within 5............................ 57 K.OA.A.2, K.OA.A.5 Lesson 16: Understand Subtraction..................... 61 K.OA.A.1 Lesson 17: Subtract Within 5......................... 65 K.OA.A.2, K.OA.A.5 Lesson 18: Add Within 10........................... 69 K.OA.A.2 Lesson 19: Subtract Within 10......................... 73 K.OA.A.2 Lesson 20: Practice Facts to 5......................... 77 K.OA.A.5 Kindergarten Student Instruction Book iii Unit 5: Counting and Cardinality, Numbers 11 100 and Number and Operations in Base Ten Lesson 21: Understand Teen Numbers................... 81 Lesson 22: Count Teen Numbers....................... 85 Lesson 23: Make Teen Numbers....................... 89 Lesson 24: Count to 100 by Tens....................... 93 Lesson 25: Count to 100 by Ones....................... 97 Unit 6: Measurement and Data Lesson 26: Compare Length.........................101 Lesson 27: Compare Weight........................ 105 Lesson 28: Sort Objects........................... 109 K.NBT.A.1 K.CC.A.3, K.CC.B.5 K.NBT.A.1 K.CC.A.1, K.CC.A.2 K.CC.A.1, K.CC.A.2 K.MD.A.1, K.MD.A.2 K.MD.A.1, K.MD.A.2 K.MD.B.3
First Grade Student Instruction Book Unit 1: Add and Subtract 1 Lesson 1 Count On to Add 2 1 OA C 5 Lesson 2 Count On to Subtract 6 1 OA C 6 Lesson 3 Add and Subtract in Word Problems 10 1 OA A 1 Lesson 4 Understand Missing Addends 14 1 OA B 4 Lesson 5 Subtract to Compare in Word Problems 18 1 OA A 1 Unit 1 Review......................22 Unit 2: Learn Facts to 10 25 Lesson 6 Doubles and Doubles Plus 1 26 1 OA C 6 Lesson 7 Number Partners for 6 and 7 30 1 OA D 8 Lesson 8 Number Partners for 8 and 9 34 1 OA B 3 Lesson 9 Number Partners for 10 38 1 OA C 6 Lesson 10 Understand the Equal Sign 42 1 OA D 7 Lesson 11 Facts I Know 46 1 OA C 6 Unit 2 Review..................... 50 Unit 3: Add and Subtract to 20 53 Lesson 12 Understand Teen Numbers 54 1 NBT B 2a, 1 NBT B 2b Lesson 13 Understand Sums Greater than 10 58 1 OA C 6 Lesson 14 Make a Ten to Add 62 1 OA C 6 Lesson 15 Add Three Numbers 66 1 OA A 2 Lesson 16 Make a Ten to Subtract 70 1 OA C 6 Unit 3 Review..................... 74 Unit 4: Tens 77 Lesson 17 Understand Tens 78 1 NBT B 2a, 1 NBT B Unit 2c 4: Tens (continued) Lesson 18 The 120 Chart 82 1 OA C 5 Lesson 19 Understand 10 More and 10 Less 86 1 NBT C 5 Lesson 20 Add and Subtract Tens 90 1 NBT C 6 iii Unit 4 Review..................... 94 Unit 5: Tens and Ones 97 Lesson 21 Understand Tens and Ones 98 1 NBT B 2a, 1 NBT B 2c Lesson 22 Compare Numbers 102 1 NBT B 3 Lesson 23 Add Tens to Any Number 106 1 NBT C 4 Lesson 24 Add Tens and Add Ones 110 1 NBT C 4 Lesson 25 Add and Regroup 114 1 NBT C 4 Unit 5 Review.....................118 Unit 6: Shapes 121 Lesson 26 Understand Shapes 122 1 G A 1 Lesson 27 Understand Putting Shapes Together 126 1 G A 2 Lesson 28 Understand Breaking Shapes into Parts 130 1 G A 3 Unit 6 Review.................... 134 Unit 7: How Many? How Much? How Long? 137 Lesson 29 Sort and Count 138 1 MD C 4 Lesson 30 Compare Data 142 1 MD C 4 Lesson 31 Order Objects by Length 146 1 MD A 1 Lesson 32 Compare Lengths 150 1 MD A 1 Lesson 33 Understand Length Measurement 154 1 MD A 2 Lesson 34 Tell Time 158 1 MD B 3 Unit 7 Review.....................162
Second Grade Student Instruction Book Unit 1: Operations and Algebraic Thinking..... 1 Lesson 1 Understand Mental Math Strategies (Fact Families)................... 2 2.OA.B.2 Lesson 2 Solve One-Step Word Problems........ 8 2.OA.A.1 Lesson 3 Understand Mental Math Strategies (Make a Ten)................... 18 2.OA.B.2 Lesson 4 Understand Even and Odd Numbers.... 24 2.OA.C.3, 2.NBT.A.2 Lesson 5 Add Using Arrays................ 30 2.OA.C.4, 2.NBT.A.2 Lesson 6 Solve Two-Step Word Problems....... 38 2.OA.A.1 Unit 1 Interim Assessment................. 48 Unit 2: Number and Operations in Base Ten... 51 Lesson 7 Add Two-Digit Numbers............ 52 2.NBT.B.5, 2.NBT.B.8 Lesson 8 Subtract Two-Digit Numbers......... 62 2.NBT.B.5, 2.NBT.B.8 Lesson 9 Solve One-Step Word Problems With Two-Digit Numbers............... 72 Lesson 10 Understand Three-Digit Numbers...... 82 Lesson 11 Read and Write Three-Digit Numbers... 88 Lesson 12 Compare Three-Digit Numbers....... 96 Lesson 13 Add Three-Digit Numbers...........106 Lesson 14 Subtract Three-Digit Numbers........ 116 Lesson 15 Add Several Two-Digit Numbers....... 126 Unit 2 Interim Assessment................134 2.NBT.B.5, 2.OA.A.1 2.NBT.A.1a, 2.NBT.A.1b, 2.NBT.A.2 2.NBT.A.3 2.NBT.A.4 2.NBT.B.7, 2.NBT.B.9 2.NBT.B.7, 2.NBT.B.9 2.NBT.B.6 Unit 3: Measurement and Data............ 137 Lesson 16 Understand Length and Measurement Tools............... 138 Lesson 17 Measure Length.................144 iii Lesson 18 Understand Measurement With Different Units.................. 154 Lesson 19 Understand Estimating Length.......160 Lesson 20 Compare Lengths................166 Lesson 21 Add and Subtract Lengths.......... 176 Lesson 22 Understand Reading and Making Line Plots.....................186 Lesson 23 Draw and Use Bar Graphs and Picture Graphs............... 192 Lesson 24 Tell and Write Time...............202 Lesson 25 Solve Word Problems Involving Money.. 210 Unit 3 Interim Assessment................220 2.MD.A.1 2.MD.A.1 2.MD.A.2 2.MD.A.3 2.MD.A.4 2.MD.B.5, 2.MD.B.6, 2.OA.A.1 2.MD.B.6, 2.MD.D.9 2.MD.D.10 2.MD.C.7, 2.NBT.A.2 2.MD.C.8, 2.NBT.A.2 Unit 4: Geometry......................223 Lesson 26 Recognize and Draw Shapes.........224 Lesson 27 Understand Tiling in Rectangles.......234 Lesson 28 Understand Halves, Thirds, and Fourths in Shapes.............240 Unit 4 Interim Assessment.................246 2.G.A.1 2.G.A.2 2.G.A.3 Common Core State Standards for Mathematics, Grade 2...................249
Third Grade Student Instruction Book Unit 1: Operations and Algebraic Thinking, Part 1 1 Lesson 1 Understand the Meaning of Multiplication 2 3 OA A 1 Lesson 2 Use Order and Grouping to Multiply 8 3 OA B 5 Lesson 3 Split Numbers to Multiply 20 3 OA B 5 Lesson 4 Understand the Meaning of Dision 30 3 OA A 2 Lesson 5 Understand How Multiplication and Dision Are Connected 36 3 OA B 6 Lesson 6 Multiplication and Dision Facts 42 3 OA A 4, 3 OA C 7 Lesson 7 Understand Patterns 52 3 OA D 9 Unit 1 Interim Assessment..........................58 Unit 2: Number and Operations in Base Ten 61 Lesson 8 Use Place Value to Round Numbers 62 3 NBT A 1 Lesson 9 Use Place Value to Add and Subtract 72 3 NBT A 2 Lesson 10 Use Place Value to Multiply 84 3 NBT A 3 Unit 2 Interim Assessment......................... 92 Unit 3: Operations and Algebraic Thinking, Part 2 95 Lesson 11 Solve One-Step Word Problems Using Multiplication and Dision 96 3 OA A 3 Lesson 12 Model Two-Step Word Problems Using the Four Operations 108 3 OA D 8 Lesson 13 Solve Two-Step Word Problems Using the Four Operations 118 3 OA D 8 Unit 3 Interim Assessment........................ 128 Unit 4: Number and Operations Fractions 131 Lesson 14 Understand What a Fraction Is 132 3 NF A 1 Unit 4: Number and Operations Fractions (continued) Lesson 15 Understand Fractions on a Number Line 138 3 NF A 2a, 3 NF A 2b Lesson 16 Understand Equalent Fractions 144 3 NF A 3a Lesson 17 Find Equalent Fractions 150 3 NF A 3b, 3 NF A 3c Lesson iii 18 Understand Comparing Fractions 162 3 NF A 3d Lesson 19 Use Symbols to Compare Fractions 168 3 NF A 3d Unit 4 Interim Assessment......................... 176 Unit 5: Measurement and Data 179 Lesson 20 Tell and Write Time 180 3 MD A 1 Lesson 21 Solve Problems About Time 188 3 MD A 1 Lesson 22 Liquid Volume 198 3 MD A 2 Lesson 23 Mass 208 3 MD A 2 Lesson 24 Solve Problems Using Scaled Graphs 218 3 MD B 3 Lesson 25 Draw Scaled Graphs 228 3 MD B 3 Lesson 26 Measure Length and Plot Data on Line Plots 238 3 MD B 4 Lesson 27 Understand Area 248 3 MD C 5a, 3 MD C 5b, 3 MD C 6 Lesson 28 Multiply to Find Area 254 3 MD C 7a, 3 MD C 7b Lesson 29 Add Areas 264 3 MD C 7c, 3 MD C 7d Lesson 30 Connect Area and Perimeter 274 3 MD D 8 Unit 5 Interim Assessment.........................286 Unit 6: Geometry 289 Lesson 31 Understand Properties of Shapes 290 3 G A 1 Lesson 32 Classify Quadrilaterals 296 3 G A 1 Lesson 33 Dide Shapes Into Parts With Equal Areas 306 3 G A 2 Unit 6 Interim Assessment......................... 314 Common Core State Standards for Mathematics, Grade 3..... 317
Fourth Grade Student Instruction Book Unit 1: Number and Operations in Base Ten, Part 1 1 Lesson 1 Understand Place Value 2 4 NBT A 1, 4 NBT A 2 Lesson 2 Compare Whole Numbers 8 4 NBT A 2 Lesson 3 Add and Subtract Whole Numbers 16 4 NBT B 4 Lesson 4 Round Whole Numbers 26 4 NBT A 3 Unit 1 Interim Assessment..........................34 Unit 2: Operations and Algebraic Thinking 37 Lesson 5 Understand Multiplication 38 4 OA A 1 Lesson 6 Multiplication and Dision in Word Problems 44 4 OA A 2 Lesson 7 Multiples and Factors 54 4 OA B 4 Lesson 8 Number and Shape Patterns 66 4 OA C 5 Lesson 9 Model Multi-Step Problems 76 4 OA A 3 Lesson 10 Solve Multi-Step Problems 84 4 OA A 3 Unit 2 Interim Assessment......................... 92 Unit 3: Number and Operations in Base Ten, Part 2 95 Lesson 11 Multiply Whole Numbers 96 4 NBT B 5 Lesson 12 Dide Whole Numbers 106 4 NBT B 6 Unit 3 Interim Assessment........................ 116 Unit 4: Number and Operations Fractions 119 Lesson 13 Understand Equalent Fractions 120 4 NF A 1 Lesson 14 Compare Fractions 126 4 NF A 2 Lesson 15 Understand Fraction Addition and Subtraction 136 4 NF B 3a, 4 NF B 3b Lesson 16 Add and Subtract Fractions 142 4 NF B 3a, 4 NF B 3d Lesson 17 Add and Subtract Mixed Numbers 152 4 NF B 3b, 4 NF B 3c, 4 NF B 3d Lesson 18 Understand Fraction Multiplication 162 4 NF B 4a, 4 NF B 4b Unit 4: Number and Operations Fractions (continued) Lesson 19 Multiply Fractions 168 4 NF B 4c Lesson 20 Fractions as Tenths and Hundredths 176 4 NF C 5 Lesson 21 Relate Decimals and Fractions 184 4 NF C 6 Lesson iii 22 Compare Decimals 194 4 NF C 7 Unit 4 Interim Assessment.........................204 Unit 5: Measurement and Data 207 Lesson 23 Convert Measurements 208 4 MD A 1 Lesson 24 Time and Money 218 4 MD A 2 Lesson 25 Length, Liquid Volume, and Mass 228 4 MD A 2 Lesson 26 Perimeter and Area 240 4 MD A 3 Lesson 27 Line Plots 250 4 MD B 4 Lesson 28 Understand Angles 262 4 MD C 5a, 4 MD C 5b Lesson 29 Measure and Draw Angles 268 4 MD C 6 Lesson 30 Add and Subtract With Angles 278 4 MD C 7 Unit 5 Interim Assessment.........................288 Unit 6: Geometry 291 Lesson 31 Points, Lines, Rays, and Angles 292 4 G A 1 Lesson 32 Classify Two-Dimensional Figures 304 4 G A 2 Lesson 33 Symmetry 316 4 G A 3 Unit 6 Interim Assessment.........................326 Common Core State Standards for Mathematics, Grade 4.....329
Fifth Grade Student Instruction Book Unit 1: Number and Operations in Base Ten 1 Lesson 1 Understand Place Value 2 5 NBT A 1 Lesson 2 Understand Powers of Ten 8 5 NBT A 2 Lesson 3 Read and Write Decimals 14 5 NBT A 3a Lesson 4 Compare and Round Decimals 24 5 NBT A 3b, 5 NBT A 4 Lesson 5 Multiply Whole Numbers 34 5 NBT B 5 Lesson 6 Dide Whole Numbers 42 5 NBT B 6 Lesson 7 Add and Subtract Decimals 50 5 NBT B 7 Lesson 8 Multiply Decimals 60 5 NBT B 7 Lesson 9 Dide Decimals 70 5 NBT B 7 Unit 1 Interim Assessment........................... 82 Unit 2: Number and Operations Fractions 85 Lesson 10 Add and Subtract Fractions 86 5 NF A 1 Lesson 11 Add and Subtract Fractions in Word Problems 96 5 NF A 2 Lesson 12 Fractions as Dision 104 5 NF B 3 Lesson 13 Understand Products of Fractions 112 5 NF B 4a Lesson 14 Multiply Fractions Using an Area Model 118 5 NF B 4b Lesson 15 Understand Multiplication as Scaling 128 5 NF B 5a, 5 NF B 5b Lesson 16 Multiply Fractions in Word Problems 134 5 NF B 6 Lesson 17 Understand Dision With Unit Fractions 144 5 NF B 7a, 5 NF B 7b Lesson 18 Dide Unit Fractions in Word Problems 150 5 NF B 7c Unit 2 Interim Assessment.......................... 160 Unit 3: Operations and Algebraic Thinking 163 Lesson 19 164 5 OA A 1, 5 OA A 2 Lesson 20 Analyze Patterns and Relationships 174 5 OA B 3 Unit 3 Interim Assessment.......................... 184 Unit 4: Measurement and Data 187 Lesson 21 Convert Measurement Units 188 5 MD A 1 Lesson 22 Solve Word Problems Involving Conversions 198 5 MD A 1 Lesson iii 23 Make Line Plots and Interpret Data 208 5 MD B 2 Lesson 24 Understand Volume 218 5 MD C 3a, 5 MD C 3b Lesson 25 Find Volume Using Unit Cubes 224 5 MD C 4 Lesson 26 Find Volume Using Formulas 232 5 MD C 5a, 5 MD C 5b Lesson 27 Find Volume of Composite Figures 240 5 MD C 5c Unit 4 Interim Assessment...........................248 Unit 5: Geometry 251 Lesson 28 Understand the Coordinate Plane 252 5 G A 1 Lesson 29 Graph Points in the Coordinate Plane 258 5 G A 2 Lesson 30 Classify Two-Dimensional Figures 268 5 G B 4 Lesson 31 Understand Properties of Two-Dimensional Figures 276 5 G B 3 Unit 5 Interim Assessment........................... 282 Common Core State Standards for Mathematics, Grade 5.......286
Sixth Grade Student Instruction Book Unit 1: Ratios and Proportional Relationships 1 Lesson 1 Ratios 2 6 RP A 1 Lesson 2 Understand Unit Rate 10 6 RP A 2 Lesson 3 Equalent Ratios 16 6 RP A 3a Lesson 4 Solve Problems with Unit Rate 26 6 RP A 3b, 6 RP A 3d Lesson 5 Solve Problems with Percent 38 6 RP A 3c Unit 1 Interim Assessment........................... 48 Unit 2: The Number System 51 Lesson 6 Understand Dision with Fractions 52 6 NS A 1 Lesson 7 Dide with Fractions 58 6 NS A 1 Lesson 8 Dide Multi-Digit Numbers 70 6 NS B 2 Lesson 9 Add and Subtract Decimals 80 6 NS B 3 Lesson 10 Multiply and Dide Decimals 90 6 NS B 3 Lesson 11 Common Factors and Multiples 102 6 NS B 4 Lesson 12 Understand Posite and Negate Numbers 112 6 NS C 5, 6 NS C 6a, 6 NS C 6c Lesson 13 Absolute Value and Ordering Numbers 118 6 NS C 5, 6 NS C 7a, 6 NS C 7b, 6 NS C 7c, 6 NS C 7d Lesson 14 The Coordinate Plane 128 6 NS C 6b, 6 NS C 6c, 6 NS C 8 Unit 2 Interim Assessment.......................... 140 Unit 3: Expressions and Equations 143 Lesson 15 Numerical Expressions with Exponents 144 6 EE A 1 Lesson 16 Algebraic Expressions 154 6 EE A 2a, 6 EE A 2b, 6 EE A 2c Lesson 17 Equalent Expressions 166 6 EE A 3, 6 EE A 4 Lesson 18 Understand Solutions to Equations 178 6 EE B 5 Lesson 19 Solve Equations 184 6 EE B 6, 6 EE B 7 Unit 3: Expressions and Equations (continued) Unit iii3 Interim Assessment.......................... 216 Lesson 20 Solve Inequalities 196 6 EE B 5, 6 EE B 8 Lesson 21 Dependent and Independent Variables 206 6 EE C 9 Unit 4: Geometry 219 Lesson 22 Area of Polygons 220 6 G A 1 Lesson 23 Polygons in the Coordinate Plane 230 6 G A 3 Lesson 24 Nets and Surface Area 240 6 G A 4 Lesson 25 Volume 252 6 G A 2 Unit 4 Interim Assessment........................... 262 Unit 5: Statistics and Probability 265 Lesson 26 Understand Statistical Questions 266 6 SP A 1 Lesson 27 Measures of Center and Variability 272 6 SP A 2, 6 SP A 3 Lesson 28 Display Data on Dot Plots, Histograms, and Box Plots 284 6 SP B 4 Lesson 29 Analyze Numerical Data 296 6 SP B 5a, 6 SP B 5b, 6 SP B 5c, 6 SP B 5d Unit 5 Interim Assessment...........................306 Common Core State Standards for Mathematics, Grade 6.......309
Seventh Grade Student Instruction Book Unit 1: The Number System 1 Lesson 1 Understand Addition of Posite and Negate Integers 2 7 NS A 1a, 7 NS A 1b Lesson 2 Understand Subtraction of Posite and Negate Integers 8 7 NS A 1c Lesson 3 Add and Subtract Posite and Negate Integers 14 7 NS A 1d Lesson 4 Multiply and Dide Posite and Negate Integers 24 7 NS A 2a, 7 NS A 2b, 7 NS A 2c Lesson 5 Terminating and Repeating Decimals 34 7 NS A 2d Lesson 6 Multiply and Dide Rational Numbers 44 7 NS A 2a, 7 NS A 2b, 7 NS A 2c Lesson 7 Add and Subtract Rational Numbers 54 7 NS A 1a, 7 NS A 1b, 7 NS A 1c, 7 NS A 1d Lesson 8 Solve Problems with Rational Numbers 64 7 NS A 3, 7 EE B 3 Unit 1 Interim Assessment............................. 74 Unit 2: Ratio and Proportional Relationships 77 Lesson 9 Ratios Involving Complex Fractions 78 7 RP A 1 Lesson 10 Understand Proportional Relationships 88 7 RP A 2a, 7 RP A 2b Lesson 11 Equations for Proportional Relationships 94 7 RP A 2c, 7 RP A 2d Lesson 12 Problem Solving with Proportional Relationships 102 7 RP A 3 Lesson 13 Proportional Relationships 112 7 RP A 3 Unit 2 Interim Assessment............................. 122 Unit 3: Expressions and Equations 125 Lesson 14 Equalent Linear Expressions 126 7 EE A 1 Lesson 15 Writing Linear Expressions 136 7 EE A 2 Lesson 16 Solve Problems with Equations 146 7 EE B 3, 7 EE B 4a Lesson 17 Solve Problems with Inequalities 156 7 EE B 3, 7 EE B 4b Unit 3 Interim Assessment.............................166 Unit 4: Geometry.................................. 169 Lesson 18 Problem Solving with Angles.................... 170 Lesson 19 Understand Conditions for Drawing Triangles......... 180 Lesson 20 Area of Composed Figures..................... 186 iii Lesson 21 Area and Circumference of a Circle................ 196 Lesson 22 Scale Drawings............................. 208 Lesson 23 Volume of Solids............................ 218 Lesson 24 Surface Area of Solids.........................228 Lesson 25 Understand Plane Sections of Prisms and Pyramids..... 238 Unit 4 Interim Assessment.............................244 7.G.B.5 7.G.A.2 7.G.B.6 7.G.B.4 7.G.A.1, 7.RP.A.1 7.G.B.6 7.G.B.6 7.G.A.3 Unit 5: Statistics and Probability...................... 247 Lesson 26 Understand Random Samples................... 248 Lesson 27 Making Statistical Inferences.................... 254 Lesson 28 Using Mean and Mean Absolute Deviation to Compare Data............................264 Lesson 29 Using Measures of Center and Variability to Compare Data............................ 272 Lesson 30 Understand Probability Concepts.................280 Lesson 31 Experimental Probability.......................286 Lesson 32 Probability Models...........................296 Lesson 33 Probability of Compound Events..................308 Unit 5 Interim Assessment.............................320 7.SP.A.1 7.SP.A.2 7.SP.B.3 7.SP.B.4 7.SP.C.5 7.SP.C.6 7.SP.C.7a, 7.SP.C.7b 7.SP.C.8a, 7.SP.C.8b, 7.SP.C.8c Common Core State Standards for Mathematics, Grade 7.........323
Eighth Grade Student Instruction Book Unit 1: Expressions and Equations (Exponents) and the Number System...............................1 Lesson 1 Properties of Integer Exponents....................2 8.EE.A.1 Lesson 2 Square Roots and Cube Roots.....................12 8.EE.A.2 Lesson 3 Understand Rational and Irrational Numbers........... 22 8.NS.A.1, 8.NS.A.2 Lesson 4 Scientific Notation............................ 28 8.EE.A.3 Lesson 5 Operations and Scientific Notation.................. 38 8.EE.A.4 Unit 1 Interim Assessment............................. 48 Unit 2: Functions................................... 51 Lesson 6 Understand Functions......................... 52 8.F.A.1 Lesson 7 Compare Functions........................... 58 8.F.A.2 Lesson 8 Understand Linear Functions..................... 68 8.F.A.3 Lesson 9 Analyze Linear Functions........................74 8.F.B.4 Lesson 10 Graphs of Functional Relationships................. 86 8.F.B.5 Unit 2 Interim Assessment............................ 96 Unit 3: Expressions and Equations (Linear Equations)........ 99 Lesson 11 Represent Proportional Relationships...............100 8.EE.B.5 Lesson 12 Understand the Slope-Intercept Equation for a Line...... 110 8.EE.B.6 Lesson 13 Solve Linear Equations with Rational Coefficients....... 116 8.EE.C.7b Lesson 14 Solutions of Linear Equations.................... 124 8.EE.C.7a Lesson 15 Understand Systems of Equations................. 132 8.EE.C.8a Lesson 16 Solve Systems of Equations Algebraically............. 138 8.EE.C.8b Lesson 17 Solve Problems Using Systems of Equations........... 148 8.EE.C.8c Unit 3 Interim Assessment............................ 156 Unit 4: Geometry.................................. 159 Lesson 18 Understand Properties of Transformations............ 160 8.G.A.1a, 8.G.A.1b, 8.G.A.1c Lesson 19 Transformations and Congruence................. 166 8.G.A.2, 8.G.A.3 Lesson iii 20 Transformations and Similarity................... 176 8.G.A.3, 8.G.A.4 Lesson 21 Understand Angle Relationships.................. 184 8.G.A.5 Lesson 22 Understand Angle Relationships in Triangles.......... 190 8.G.A.5 Lesson 23 Understand the Pythagorean Theorem.............. 196 8.G.B.6 Lesson 24 Solve Problems Using the Pythagorean Theorem....... 202 8.G.B.7 Lesson 25 Distance in the Coordinate Plane.................. 212 8.G.B.8 Lesson 26 Understand Volume of Cylinders, Cones, and Spheres.....220 8.G.C.9 Lesson 27 Solve Problems with Cylinders, Cones, and Spheres...... 226 8.G.C.9 Unit 4 Interim Assessment.............................236 Unit 5: Statistics and Probability...................... 239 Lesson 28 Scatter Plots...............................240 8.SP.A.1 Lesson 29 Scatter Plots and Linear Models...................248 8.SP.A.2 Lesson 30 Solve Problems with Linear Models................ 256 8.SP.A.3 Lesson 31 Categorical Data in Frequency Tables............... 264 8.SP.A.4 Unit 5 Interim Assessment.............................272 Common Core State Standards for Mathematics, Grade 8.........275
Focus and Coherence in Ready Mathematics The units in the Ready books are organized by domains following the cluster headings of the Common Core. Each lesson starts by referencing prior knowledge and making connections to what students already know, particularly reinforcing algebraic thinking and problem solving. These connections are highlighted for teachers in the Learning Progressions of the Teacher Resource Book so teachers can see at a glance how the lesson connects to previous and future learning. Unit 3: Expressions and Equations Which lessons are students building upon? Unit 3 Which lessons are students preparing for? Grade 5, Lesson 2 Understand Powers of Ten 5.NBT.A.2 Grade 5, Lesson 20 Analyze Patterns and Relationships 5.OA.B.3 Lesson 15 Numerical Expressions with Exponents 6.EE.A.1 Grade 8, Lesson 1 Properties of Integer Exponents 8.EE.A.1 Grade 5, Lesson 20 Analyze Patterns and Relationships 5.OA.B.3 Lesson 16 Algebraic Expressions 6.EE.A.2a, 6.EE.A.2b, 6.EE.A.2c Grade 7, Lesson 14 Equalent Linear Expressions 7.EE.A.1 Grade 7, Lesson 15 Writing Linear Expressions 7.EE.A.2 Grade 6, Lesson 16 Algebraic Expressions 6.EE.A.2a, 6.EE.A.2b, 6.EE.A.2c Lesson 17 Equalent Expressions 6.EE.A.3, 6.EE.A.4 Grade 7, Lesson 14 Equalent Linear Expressions 7.EE.A.1 Grade 7, Lesson 15 Writing Linear Expressions 7.EE.A.2 Grade 6, Lesson 16 Algebraic Expressions 6.EE.A.2a, 6.EE.A.2b, 6.EE.A.2c Grade 6, Lesson 17 Equalent Expressions 6.EE.A.3, 6.EE.A.4 Lesson 18 Understand Solutions to Equations 6.EE.B.5 Grade 7, Lesson 16 Solve Problems with Equations 7.EE.B.3, 7.EE.B.4a Grade 6, Lesson 16 Algebraic Expressions 6.EE.A.2a, 6.EE.A.2b, 6.EE.A.2c Grade 6, Lesson 18 Understand Solutions to Equations 6.EE.B.5 Lesson 19 Solve Equations 6.EE.B.6, 6.EE.B.7 Grade 7, Lesson 16 Solve Problems with Equations 7.EE.B.3, 7.EE.B.4a Grade 6, Lesson 18 Understand Solutions to Equations 6.EE.B.5 Grade 6, Lesson 19 Solve Equations 6.EE.B.6, 6.EE.B.7 Lesson 20 Solve Inequalities 6.EE.B.5, 6.EE.B.8 Grade 7, Lesson 16 Solve Problems with Equations 7.EE.B.3, 7.EE.B.4a Grade 7, Lesson 17 Solve Problems with Inequalities 7.EE.B.3, 7.EE.B.4b Grade 5, Lesson 20 Analyze Patterns and Relationships 5.OA.B.3 Grade 6, Lesson 19 Solve Equations 6.EE.B.6, 6.EE.B.7 Grade 6, Lesson 20 Solve Inequalities 6.EE.B.5, 6.EE.B.8 Lesson 21 Dependent and Independent Variables 6.EE.C.9 Grade 7, Lesson 16 Solve Problems with Equations 7.EE.B.3, 7.EE.B.4a Grade 7, Lesson 17 Solve Problems with Inequalities 7.EE.B.3, 7.EE.B.4b 154 Unit 3: Expressions and Equations Unit 3: Expressions and Equations 155 The beginning of each unit in the Ready Teacher Resource Book shows how each unit/lesson fits in the learning progression.