Pennsylvania PSSA Coach, Assessment Anchors, Mathematics
Transcription
Pennsylvania PSSA Coach, Assessment Anchors, Mathematics
PA Math Covers 9/12/06 4:05 PM Page 1 Coach is the leader in standards-based, state-customized test preparation for grades K–12 in reading, mathematics, science, and social studies. Our student texts deliver everything you need to meet your state standards and prepare your class for the test! Coach has just what you’re looking for: ✔ Lessons written to state standards ✔ Two Practice Tests, modeled after your state test ✔ Every question aligned to the standards ✔ High-interest, grade-appropriate lessons ✔ Clear instruction and focused review ✔ Practice questions in every lesson ✔ Test-taking tips and strategies Used by more students in the U.S. than any other test preparation series, Coach books are proven effective. Triumph Learning has been a trusted name in educational publishing for over 40 years, and we continue to work with teachers and administrators to keep our books up to date—improving test scores and maximizing student learning. Pennsylvania PSSA Coach, Assessment Anchors, Mathematics, Primary Your complete PSSA program! Please visit www.triumphlearning.com for detailed product descriptions of all our instructional materials. Phone: (800) 221-9372 • Fax: (866) 805-5723 • E-mail: [email protected] 119PA 1-59823-370-X Developed in Consultation with Pennsylvania Educators 119PA_Mth_G1_Pretest_PDF 9/26/06 5:21 PM Page 3 Table of Contents Grade 3 Assessment Anchors Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Correlation Chart of PSSA Grade 3 Assessment Anchors to Coach Lessons . . . . . . . . . . . . . . . . 6 Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Chapter 1 Reporting Category A— Numbers and Operations . . . . . . . . . . . . . . . . . 27 Lesson 1 Counting . . . . . . . . . . . . . . . . . . . . . Lesson 2 Models for Tens and Ones . . . . . . . Lesson 3 Tens and Ones . . . . . . . . . . . . . . . . . Lesson 4 Comparing Numbers . . . . . . . . . . . . Lesson 5 Ordering Numbers . . . . . . . . . . . . . . Lesson 6 Even and Odd Numbers . . . . . . . . . Lesson 7 Models for Fractions . . . . . . . . . . . . Lessons 1–7: PSSA Progress Check . . . . . . . . 28 33 37 42 47 52 57 63 Lesson 8 Addition . . . . . . . . . . . . . . . . . . . . . . 67 Lesson 9 Subtraction . . . . . . . . . . . . . . . . . . . 72 Lesson 10 Connecting Addition and Subtraction . . . . . . . . . . . . . . . . 77 Lesson 11 Addition and Subtraction Facts . . . . 82 Lesson 12 Repeated Addition . . . . . . . . . . . . . . 86 Lesson 13 Adding and Subtracting with Double-Digit Numbers . . . . . . . . . . . 90 Lesson 14 Coins . . . . . . . . . . . . . . . . . . . . . . . . 95 Lesson 15 Making Change . . . . . . . . . . . . . . . 102 Lesson 16 Identifying How to Solve Problems . . . . . . . . . . . . . . . 107 Lesson 17 Rounding . . . . . . . . . . . . . . . . . . . . 111 Lesson 18 Estimating Solutions . . . . . . . . . . . 115 Lessons 8–18: PSSA Progress Check . . . . . . 119 Duplicating any part of this book is prohibited by law. M3.A.1.1.1, M3.A.1.1.5 M3.A.1.1.5 M3.A.1.1.1, M3.A.1.1.5 M3.A.1.1.3 M3.A.1.1.4 M3.A.1.1.2 M3.A.1.2.1, M3.A.1.2.2 M3.A.2.1.2 M3.A.2.1.2 M3.A.2.1.2 M3.A.2.1.2 M3.A.2.1.1 M3.A.3.1.1 M3.A.1.3.1, M3.A.1.3.2 M3.A.1.3.1, M3.A.1.3.3 M3.A.2.1.3 M3.A.3.2.1 M3.A.3.2.1 3 119PA_Mth_G1_Pretest_PDF Chapter 2 9/26/06 5:21 PM Page 4 Reporting Category B— Measurement . . . . . 123 Lesson 19 Measuring Things . . . . . . . . . . . . . Lesson 20 Measuring Weight . . . . . . . . . . . . . Lesson 21 Measuring Length . . . . . . . . . . . . . Lesson 22 Using Rulers . . . . . . . . . . . . . . . . . Lesson 23 Telling Time . . . . . . . . . . . . . . . . . . Lesson 24 Elapsed Time . . . . . . . . . . . . . . . . . Lessons 19–24: PSSA Progress Check . . . . . Chapter 3 M3.B.1.2.2 M3.B.1.2.2, M3.B.2.1.1 M3.B.2.1.1 M3.B.1.1.1 M3.B.1.1.2 156 162 167 172 M3.C.1.1.1 M3.C.2.1.1, M3.C.2.1.2 M3.C.1.1.2 Reporting Category D— Algebraic Concepts . . . . . . . . . . . . . . . . . . . . . 177 Lesson 28 Patterns with Numbers . . . . . . . . . Lesson 29 Patterns with Shapes . . . . . . . . . . Lesson 30 Completing Numbers Sentences with Numbers . . . . . . . Lesson 31 Completing Numbers Sentences with Symbols . . . . . . . . Lesson 32 Modeling Problems with Number Sentences . . . . . . . . . . . . Lessons 28–32: PSSA Progress Check . . . . . Chapter 5 M3.B.1.2.1 Reporting Category C— Geometry . . . . . . . . 155 Lesson 25 Two-Dimensional Shapes . . . . . . . Lesson 26 Symmetry . . . . . . . . . . . . . . . . . . . . Lesson 27 Three-Dimensional Shapes . . . . . . Lessons 25–27: PSSA Progress Check . . . . . Chapter 4 124 129 133 137 141 145 150 178 182 M3.D.1.1.1, M3.D.1.1.2 186 M3.D.2.2.1 191 M3.D.2.2.2 195 200 M3.D.2.1.1, M3.D.2.1.2 M3.D.1.1.1, M3.D.1.1.2 Reporting Category E— Data Analysis and Probability . . . . . . . . . . . . . 203 Lesson 33 Tables . . . . . . . . . . . . . . . . . . . . . . . 204 Lesson 34 Graphs . . . . . . . . . . . . . . . . . . . . . . 209 M3.E.1.1.1, M3.E.1.1.2 M3.E.1.1.1, M3.E.1.1.2, M3.E.1.2.1, M3.E.1.2.2 Lessons 33–34: PSSA Progress Check . . . . . 214 Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219 Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 236 4 Duplicating any part of this book is prohibited by law. 119PA_Mth_G1_Ch01_PDF 3 9/26/06 4:11 PM Page 37 Tens and Ones M3.A.1.1.1, M3.A.1.1.5 Getting the Idea The number 36 is made up of 3 tens and 6 ones. Look at this chart. There is a tens place and ones place. tens ones 3 6 3 tens 30 thirty 6 ones 6 six The word name for 36 is thirty-six. EXAMPLE 1 How many tens are there in 68? STRATEGY Write the number in a chart. tens ones 6 8 ANSWER There are 6 tens in 68. Duplicating any part of this book is prohibited by law. 37 119PA_Mth_G1_Ch01_PDF 9/26/06 4:11 PM Page 38 PSSA Coach, Assessment Anchors, Mathematics, Grade 1 EXAMPLE 2 What number is made of 2 tens and 7 ones? STRATEGY Write tens and ones in a chart. STEP 1 Write 2 in the tens place. tens ones 2 STEP 2 Write 7 in the ones place. tens ones 2 7 STEP 3 Write the number. 2 tens 20 twenty 7 ones 7 seven ANSWER The number is 27. The word name is twenty-seven. 38 Duplicating any part of this book is prohibited by law. 119PA_Mth_G1_Ch01_PDF 9/26/06 4:11 PM Page 39 Lesson 3: Tens and Ones EXAMPLE 3 What number is made of 5 tens and 0 ones? STRATEGY Write the tens and ones in a chart. STEP 1 Write 5 in the tens place. tens ones 5 STEP 2 Write 0 in the ones place. 0 means there are no ones. tens ones 5 0 ANSWER The number is 50. The word name is fifty. Remember, the number is not 5. COACHED EXAMPLE What number is made of 8 tens and 3 ones? THINKING IT THROUGH Write the tens in the chart. tens Write ones in the chart The number is Duplicating any part of this book is prohibited by law. ones . 39 119PA_Mth_G1_Ch01_PDF 9/26/06 4:11 PM Page 40 PSSA Coach, Assessment Anchors, Mathematics, Grade 1 Lesson Practice Choose the correct answer. 1. What number is made of 5 tens and 3 ones? 훽 5 훾 35 훿 53 55 2. What number has 4 tens and 9 ones? 훽 훾 훿 43 49 94 99 3. What number is made of 7 tens and 7 ones? 훽 7 훾 16 훿 70 77 40 4. Which shows 19 as tens and ones? 훽 훾 훿 1 one and 9 tens 1 ten and 9 ones 9 tens and 1 one 9 tens and 9 ones 5. What number has 2 tens and 0 ones? 훽 2 훾 12 훿 20 22 6. How many tens are there in 34? 훽 0 훾 3 훿 4 30 Duplicating any part of this book is prohibited by law. 119PA_Mth_G1_Ch01_PDF 9/26/06 4:11 PM Page 41 Lesson 3: Tens and Ones 7. What number has 1 ten and 8 ones? 훽 훾 훿 8. How many ones are in 56? 훽 5 훾 6 훿 50 60 18 80 81 88 OPEN-ENDED QUESTION 9. Show 4 tens and 0 ones in the chart. tens ones What number does this show? Duplicating any part of this book is prohibited by law. 41