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Grade 5 Math Index For Common Core Standards Plus – Mathematics – Grade 5 with Common Core ELD Standard Alignment Domain Lesson Focus Standard(s) ELD Standards 1 Place Value Patterns 5.NBT.1: Recognize that in a multi‐digit 2 Place Value Patterns number, a digit in one place represents 10 times as much as it represents in the place ELD.PI.5.5: Listening actively and 3 Place Value Patterns asking/ answering questions about what to its right and 1/10 of what it represents was heard. 4 Place Value Patterns in the place to its left. E1 Evaluation ‐ Place Value Patterns 5 Powers of Ten 5.NBT.2: Explain patterns in the number of zeros of the product when multiplying a 6 Multiply by Powers of Ten number by powers of 10, and explain patterns in the placement of the decimal ELD.PI.5.5: Listening actively and 7 Divide by Powers of Ten asking/ answering questions about what point when a decimal is multiplied or was heard. 8 Multiply & Divide by Powers of Ten divided by a power of 10. Use whole‐ ELD.PI.5.10: Composing/writing number exponents to denote powers of literary and informational texts. E2 Evaluation ‐ Powers of Ten 10. P1 Performance Lesson #1 Power of Ten (5.NBT.1, 5.NBT.2) 5.NBT.7 Word Form of Decimals ‐ 9 5.NBT.3: Read, write, and compare 10 Expanded Form of Decimals decimals to thousandths. ELD.PI.5.5: Listening actively and Ten 5.NBT.3a: Read and write decimals to asking/ answering questions about what 5.NBT.1 Standard Form of Decimals thousandths using base‐ten numerals, was heard. 11 number names, and expanded form, e.g., ELD.PI.5.10: Composing/writing Base 12 Decimal Forms 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × literary and informational texts. in (1/10) + 9 × (1/100) + 2 × (1/1000). E3 Evaluation ‐ Decimal Forms Standards 13 Compare Decimals 5.NBT.3b: Compare two decimals to Ten thousandths based on meanings of the digits in each place, using >, =, and < symbols to 14 Compare Decimals record the results of comparisons. Base ELD.PI.5.5: Listening actively and Operations in asking/ answering questions about what 15 Round Decimals 5.NBT.4: Use place value understanding to was heard. round decimals to any place. ELD.PI.5.10: Composing/writing and Round Decimals 16 literary and informational texts. E4 Evaluation – Compare, Round Decimals 5.NBT.3b, 5.NBT.4 Operations P2 Performance Lesson #2 Working with Decimals (5.NBT.3, 5.NBT.3a‐b, 5.NBT.4) and Number 17 Multiply Whole Numbers Multiply Whole Numbers Number 18 5.NBT.5: Fluently multiply multi‐digit ELD.PI.5.5: Listening actively and 19 Multiply Whole Numbers whole numbers using the standard asking/ answering questions about what algorithm. was heard. 20 Multiply Whole Numbers E5 Evaluation ‐ Multiply Whole Numbers 21 Divide Whole Numbers 5.NBT.6: Find whole‐number quotients of whole numbers with up to four‐digit 22 Divide Whole Numbers dividends and two‐digit divisors, using strategies based on place value, the ELD.PI.5.5: Listening actively and 23 Divide Whole Numbers properties of operations, and/or the asking/ answering questions about what relationship between multiplication and was heard. 24 Divide Whole Numbers division. Illustrate and explain the calculation ELD.PI.5.10: Composing/writing by using equations, rectangular arrays, literary and informational texts. E6 Evaluation‐Divide Whole Numbers and/or area models. P3 Performance Lesson #3 Multiplication and Division (5.NBT.5, 5.NBT.6) 1 Common Core Standards Plus – Mathematics – Grade 5 with Common Core ELD Standard Alignment Domain Lesson Focus Standard(s) ELD Standards 25 Add Decimals 5.NBT.7: Add, subtract, multiply, and divide 26 Add Decimals decimals to hundredths, using concrete models or drawings and strategies based on ELD.PI.5.5: Listening actively and 27 Subtract Decimals place value, properties of operations, and/or asking/ answering questions about what the relationship between addition and was heard. 28 Subtract Decimals subtraction; relate the strategy to a written method and explain the reasoning used. E7 Evaluation ‐ Add and Subtract Decimals 5.NBT.7 ‐ 29 Multiply Decimals Ten 30 Multiply Decimals 5.NBT.1 ELD.PI.5.5: Listening actively and 5.NBT.7 asking/ answering questions about what Base 31 Multiply Decimals was heard. in 32 Multiply Decimals Standards E8 Evaluation ‐ Multiply Decimals Ten 33 Multiply Decimals Multiply Decimals Base 34 Operations ELD.PI.5.5: Listening actively and in th 35 Divide Whole Numbers by 1/10 5.NBT.7 asking/ answering questions about what was heard. and 36 Divide Whole Numbers by 1/100th E9 Evaluation‐Multiply and Divide Decimals Operations & 37 Divide a Decimal by a Whole Number Number 38 Divide a Decimal by a Whole Number ELD.PI.5.5: Listening actively and Number 39 Divide a Whole Number by a Decimal 5.NBT.7 asking/ answering questions about what was heard. 40 Divide Decimals to Hundredths ELD.PI.5.10: Composing/writing literary and informational texts. E10 Evaluation ‐ Division with Decimals P4 Performance Lesson #4 Operations with Decimals (5.NBT.7) 5.NF.1: Add & subtract fractions with unlike denominators (including mixed numbers) by 1 Add Fractions replacing given fractions with equivalent 5.NF.7c fractions to produce an equivalent sum or ‐ difference of fractions with like denominators. ELD.PI.5.5: Listening actively and asking/ answering questions about what Add Fractions in Context 5.NF.2: see below 5.NF.1 2 was heard. ELD.PI.5.6: Reading closely and Fractions 3 Add Mixed Numbers 5.NF.1 explaining interpretations/ideas from reading. Standards Add Mixed Numbers in Context 5.NF.2 4 Evaluation – Add Fractions; Mixed 5.NF.1, 5.NF.2 E1 Numbers Fractions Operations – 5.NF.1 5 Subtract Fractions and 6 Subtract Fractions in Context 5.NF.2 ELD.PI.5.5: Listening actively and asking/ answering questions about what Subtract Mixed Numbers 5.NF.1 was heard. Operations 7 ELD.PI.5.6: Reading closely and & explaining interpretations/ideas from 8 Subtract Mixed Numbers in Context 5.NF.2 Number reading. Evaluation – Subtract Fractions; Mixed 5.NF.1, 5.NF.2 Number E2 Numbers 2 Common Core Standards Plus – Mathematics – Grade 5 with Common Core ELD Standard Alignment Domain Lesson Focus Standard(s) ELD Standards 9 Add/Estimate Fraction Problems 5.NF.2: Solve word problems involving addition and subtraction of fractions ELD.PI.5.5: Listening actively and 10 Add/Estimate Fraction Problems referring to the same whole, including asking/ answering questions about what cases of unlike denominators, e.g., by was heard. ELD.PI.5.6: Reading closely and using visual fraction models or equations 11 Subtract/Estimate Fraction Problems explaining interpretations/ideas from to represent the problem. Use benchmark reading. 12 Subtract/Estimate Fraction Problems fractions and number sense of fractions to ELD.PI.5.10: Composing/writing estimate mentally and assess the literary and informational texts. E3 Evaluation – Solving Fraction Problems reasonableness of answers. 13 Interpret Fractions as Division 5.NF.3: Interpret a fraction as division of the numerator by the denominator (a/b = 14 Interpret Fractions as Division ELD.PI.5.5: Listening actively and a ÷ b). Solve word problems involving asking/ answering questions about what division of whole numbers leading to 15 Solve Problems with Fractions was heard. answers in the form of fractions or mixed ELD.PI.5.6: Reading closely and numbers, e.g., by using visual fraction explaining interpretations/ideas from 16 Solve Problems with Mixed Numbers models or equations to represent the reading. problem. ELD.PI.5.10: Composing/writing literary and informational texts. 5.NF.7c E4 Evaluation – Solving Fraction Problems ‐ Performance Lesson #5 Add & Subtract Fractions and Mixed Numbers (5.NF.1, P5 5.NF.1 5.NF.2, 5.NF.3) 17 Multiply Fractions Fractions 5.NF.4: Apply and extend previous understandings of multiplication to Multiply Fractions 18 multiply a fraction or whole number by ELD.PI.5.5: Listening actively and Standards a fraction. 5.NF.4a: Interpret the asking/ answering questions about what 19 Multiply Fractions was heard. product (a/b) × q as a parts of a partition ELD.PI.5.10: Composing/writing of q into b equal parts; equivalently, as 20 Multiply Fractions literary and informational texts. Operations Fractions the result of a sequence of operations a – × q ÷ b. E5 Evaluation ‐ Multiply Fractions and 21 Multiply Fractions 5.NF.4, 5.NF.4b: Find the area of a rectangle with fractional side lengths by ELD.PI.5.5: Listening actively and Operations 22 Multiply Fractions to Find Area tiling it with unit squares of the asking/ answering questions about what & was heard. Number appropriate unit fraction side lengths, and ELD.PI.5.6: Reading closely and Multiply Fractions to Find Area show that the area is the same as would 23 explaining interpretations/ideas from be found by multiplying the side lengths. reading. Number 24 Multiply Fractions to Find Area Multiply fractional side lengths to find ELD.PI.5.10: Composing/writing areas of rectangles, and represent fraction literary and informational texts. Evaluation‐Multiply Fractions to Find products as rectangular areas. E6 Area 5.NF.5: Interpret multiplication as scaling 25 Interpret Multiplication as Scaling (resizing), by: 5.NF.5a: Comparing the size of a product to the size of one factor on the Interpret Multiplication as Scaling basis of the size of the other factor, without 26 performing the indicated multiplication. ELD.PI.5.5: Listening actively and asking/ answering questions about what 5.NF.5, 5.NF.5b: Explain why multiplying a given was heard.
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