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The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources.
The Lesson Plans and Worksheets are divided into seven modules.
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Standards | Topics and Objectives (Module 1) | Days | |
---|---|---|---|
4.NBT.1 4.NBT.2 4.OA.1 |
A |
Place Value of Multi-Digit Whole Numbers Module 1 Overview Topic A Overview Lesson 1: Interpret a multiplication equation as a comparison. (Video) Lesson 2: Recognize a digit represents 10 times the value of what it represents in the place to its right. (Video) Lesson 3: Name numbers within 1 million by building understanding of the place value chart and placement of commas for naming base thousand units. (Video) Lesson 4: Read and write multi-digit numbers using base ten numerals, number names, and expanded form. (Video) |
4 |
4.NBT.2 | B |
Comparing Multi-Digit Whole Numbers Topic B Overview Lesson 5: Compare numbers based on meanings of the digits, using >, <, or = to record the comparison. (Video) Lesson 6: Find 1, 10, and 100 thousand more and less than a given number. (Video) |
2 |
4.NBT.3 | C |
Rounding Multi-Digit Whole Numbers Topic C Overview Lesson 7: Round multi-digit numbers to the thousands place using the vertical number line. (Video) Lesson 8: Round multi-digit numbers to any place using the vertical number line. (Video) Lesson 9: Use place value understanding to round multi-digit numbers to any place value. (Video) Lesson 10: Use place value understanding to round multi-digit numbers to any place value using real world applications. (Video) |
4 |
Mid-Module Assessment: Topics A-C (review content 1 day, assessment ½ day, return ½ day, remediation or further applications 1 day) | 3 | ||
4.OA.3 4.NBT.4 4.NBT.1 4.NBT.2 |
D |
Multi-Digit Whole Number Addition Topic D Overview Lesson 11: Use place value understanding to fluently add multi-digit whole numbers using the standard addition algorithm and apply the algorithm to solve word problems using tape diagrams. (Video) Lesson 12: Solve multi-step word problems using the standard addition algorithm modeled with tape diagrams and assess the reasonableness of answers using rounding. (Video) |
2 |
4.OA.3 4.NBT.4 4.NBT.1 4.NBT.2 |
E |
Multi-Digit Whole Number Subtraction Topic E Overview Lesson 13: Use place value understanding to decompose to smaller units once using the standard subtraction algorithm, and apply the algorithm to solve word problems using tape diagrams. (Video) Lesson 14: Use place value understanding to decompose to smaller units up to 3 times using the standard subtraction algorithm, and apply the algorithm to solve word problems using tape diagrams. (Video) Lesson 15: Use place value understanding to fluently decompose to smaller units multiple times in any place using the standard subtraction algorithm, and apply the algorithm to solve word problems using tape diagrams. (Video) Lesson 16: Solve two-step word problems using the standard subtraction algorithm fluently modeled with tape diagrams and assess the reasonableness of answers using rounding. (Video) |
4 |
4.OA.3 4.NBT.1 4.NBT.2 4.NBT.4 |
F |
Addition and Subtraction Word Problems Topic F Overview Lesson 17: Solve additive compare word problems modeled with tape diagrams. (Video) Lesson 18: Solve multi-step word problems modeled with tape diagrams and assess the reasonableness of answers using rounding. (Video) Lesson 19: Create and solve multi-step word problems from given tape diagrams and equations. (Video) |
3 |
End-of-Module Assessment: Topics A-F (review content 1 day, assessment ½ day, return ½ day, remediation or further application 1 day) | 3 | ||
Total Number of Instructional Days | 25 |
Standards | Topics and Objectives (Module 2) | Days | |
---|---|---|---|
4.MD.1 4.MD.2 |
A |
Metric Unit Conversions Module 2 Overview Topic A Overview Lesson 1: Express metric length measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric length. (Video) Lesson 2: Express metric mass measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric mass. (Video) Lesson 3: Express metric capacity measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric capacity. (Video) |
3 |
4.MD.1 4.MD.2 |
B |
Application of Metric Unit Conversions Topic B Overview Lesson 4: Know and relate metric units to place value units in order to express measurements in different units. (Video) Lesson 5: Use addition and subtraction to solve multi-step word problems involving length, mass, and capacity. (Video) |
2 |
End-of-Module Assessment: Topics A-B (assessment ½ day, return ½ day, remediation or further applications 1 day) | 2 | ||
Total Number of Instructional Days | 7 |
Standards | Topics and Objectives (Module 3) | Days | |
---|---|---|---|
4.OA.1 4.OA.2 4.MD.3 4.OA.3 |
A |
Multiplicative Comparison Word Problems Module 3 Overview Topic A Overview Lesson 1: Investigate and use the formulas for area and perimeter of rectangles. (Video) Lesson 2: Solve multiplicative comparison word problems by applying the area and perimeter formulas. (Video) Lesson 3: Demonstrate understanding of area and perimeter formulas by solving multi-step real world problems. (Video) |
3 |
4.NBT.5 4.OA.1 4.OA.2 4.NBT.1 |
B |
Multiplication by 10, 100, and 1,000 Topic B Overview Lesson 4: Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically. (Video) Lesson 5: Multiply multiples of 10, 100, and 1,000 by single digits, recognizing patterns. (Video) Lesson 6: Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model. (Video) |
3 |
4.NBT.5 4.OA.2 4.NBT.1 |
C |
Multiplication of up to Four Digits by Single-Digit Numbers Topic C Overview Lesson 7: Use place value disks to represent two-digit by one-digit multiplication. (Video) Lesson 8: Extend the use of place value disks to represent three- and four-digit by one-digit multiplication. (Video) Lesson 9, Lesson 10: Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm. (Video) (Video) Lesson 11: Connect the area model and the partial products method to the standard algorithm. (Video) |
5 |
4.OA.1 4.OA.2 4.OA.3 4.NBT.5 |
D |
Multiplication Word Problems Topic D Overview Lesson 12: Solve two-step word problems, including multiplicative comparison. (Video) Lesson 13: Use multiplication, addition, or subtraction to solve multi-step word problems. (Video) |
2 |
Mid-Module Assessment: Topics A-D (review content 1 day, assessment ½ day, return ½ day, remediation or further applications 1 day) | 3 | ||
4.NBT.6 4.OA.3 |
E |
Division of Tens and Ones with Successive Remainders Topic E Overview Lesson 14 Solve division word problems with remainders. (Video) Lesson 15: Understand and solve division problems with a remainder using the array and area models. (Video) Lesson 16: Understand and solve two-digit dividend division problems with a remainder in the ones place by using number disks. (Video) Lesson 17: Represent and solve division problems requiring decomposing a remainder in the tens. (Video) Lesson 18: Find whole number quotients and remainders. (Video) Lesson 19: Explain remainders by using place value understanding and models. (Video) Lesson 20: Solve division problems without remainders using the area model. (Video) Lesson 21: Solve division problems with remainders using the area model. (Video) |
8 |
4.OA.4 | F |
Reasoning with Divisibility Topic F Overview Lesson 22: Find factor pairs for numbers to 100 and use understanding of factors to define prime and composite. (Video) Lesson 23: Use division and the associative property to test for factors and observe patterns. (Video) Lesson 24: Determine whether a whole number is a multiple of another number. (Video) Lesson 25: Explore properties of prime and composite numbers to 100 by using multiples. (Video) |
4 |
4.OA.3 4.NBT.6 4.NBT.1 |
G |
Division of Thousands, Hundreds, Tens, and Ones Topic G Overview Lesson 26: Divide multiples of 10, 100, and 1,000 by single-digit numbers. (Video) Lesson 27: Represent and solve division problems with up to a three-digit dividend numerically and with number disks requiring decomposing a remainder in the hundreds place. (Video) Lesson 28: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically. (Video) Lesson 29: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times. (Video) Lesson 30: Solve division problems with a zero in the dividend or with a zero in the quotient. (Video) Lesson 31: Interpret division word problems as either number of groups unknown or group size unknown. (Video) Lesson 32: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9. (Video) Lesson 33: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends. (Video) |
8 |
4.NBT.5 4.OA.3 4.MD.3 |
H |
Multiplication of Two-Digit by Two-Digit Numbers Topic H Overview Lesson 34: Multiply two-digit multiples of 10 by two-digit numbers using a place value chart. (Video) Lesson 35: Multiply two-digit multiples of 10 by two-digit numbers using the area model. (Video) Lesson 36: Multiply two-digit by two-digit numbers using four partial products. (Video) Lesson 37, Lesson 38: Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication. (Video) (Video) |
5 |
End-of-Module Assessment: Topics A-H (review 1 day, assessment ½ day, return ½ day, remediation or further application 1 day) | 3 | ||
Total Number of Instructional Days | 43 |
Standards | Topics and Objectives (Module 4) | Days | |
---|---|---|---|
4.G.1 | A |
Lines and Angles Module 4 Overview Topic A Overview Lesson 1: Identify and draw points, lines, line segments, rays, and angles and recognize them in various contexts and familiar figures. (Video) Lesson 2: Use right angles to determine whether angles are equal to, greater than, or less than right angles. Draw right, obtuse, and acute angles. (Video) Lesson 3: Identify, define, and draw perpendicular lines. (Video) Lesson 4: Identify, define, and draw parallel lines. (Video) |
4 |
4.MD.5 4.MD.6 |
B |
Angle Measurement Topic B Overview Lesson 5: Use a circular protractor to understand a 1-degree angle as 1/360 of a turn. Explore benchmark angles using the protractor. (Video) Lesson 6: Use varied protractors to distinguish angle measure from length measurement. (Video) Lesson 7: Measure and draw angles. Sketch given angle measures and verify with a protractor. (Video) Lesson 8: Identify and measure angles as turns and recognize them in various contexts. (Video) |
4 |
Mid-Module Assessment: Topics A-B (assessment ½ day, return ½ day, remediation or further applications 1 day) | 2 | ||
4.MD.7 | C |
Problem Solving with the Addition of Angle Measures Topic C Overview Lesson 9: Decompose angles using pattern blocks. (Video) Lesson 10, Lesson 11: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure. (Video) (Video) |
3 |
4.G.1 4.G.2 4.G.3 |
D |
Two-Dimensional Figures and Symmetry Topic D Overview Lesson 12: Recognize lines of symmetry for given two-dimensional figures; identify line-symmetric figures and draw lines of symmetry. (Video) Lesson 13: Analyze and classify triangles based on side length, angle measure, or both. (Video) Lesson 14: Define and construct triangles from given criteria. Explore symmetry in triangles. (Video) Lesson 15: Classify quadrilaterals based on parallel and perpendicular lines and the presence or absence of angles of a specified size. (Video) Lesson 16: Reason about attributes to construct quadrilaterals on square or triangular grid paper. (Video) |
5 |
End-of-Module Assessment: Topics A-D (assessment ½ day, return ½ day, remediation or further application 1 day) | 2 | ||
Total Number of Instructional Days | 20 |
Standards | Topics and Objectives (Module 5) | Days | |
---|---|---|---|
4.NF.3b 4.NF.4a 4.NF.3a |
A |
Decomposition and Fraction Equivalence Module 5 Overview Topic A Overview Lesson 1, Lesson 2: Decompose fractions as a sum of unit fractions using tape diagrams. (Video) (Video) Lesson 3: Decompose non-unit fractions and represent them as a whole number times a unit fraction using tape diagrams. (Video) Lesson 4: Decompose fractions into sums of smaller unit fractions using tape diagrams. (Video) Lesson 5: Decompose unit fractions using area models to show equivalence. (Video) Lesson 6: Decompose fractions using area models to show equivalence. (Video) |
6 |
4.NF.1 4.NF.3b |
B |
Fraction Equivalence Using Multiplication and Division Topic B Overview Lesson 7, Lesson 8:Use the area model and multiplication to show the equivalence of two fractions. (Video) (Video) Lesson 9, Lesson 10: Use the area model and division to show the equivalence of two fractions. (Video) (Video) Lesson 11: Explain fraction equivalence using a tape diagram and the number line, and relate that to the use of multiplication and division. (Video) |
5 |
4.NF.2 | C |
Fraction Comparison Topic C Overview Lesson 12, Lesson 13: Reason using benchmarks to compare two fractions on the number line. (Video) (Video) Lesson 14, Lesson 15: Find common units or number of units to compare two fractions. (Video) (Video) |
4 |
4.NF.3a 4.NF.3d 4.NF.1 4.MD.2 |
D |
Fraction Addition and Subtraction Topic D Overview Lesson 16: Use visual models to add and subtract two fractions with the same units. (Video) Lesson 17: Use visual models to add and subtract two fractions with the same units, including subtracting from one whole. (Video) Lesson 18: Add and subtract more than two fractions. (Video) Lesson 19: Solve word problems involving addition and subtraction of fractions. (Video) Lesson 20, Lesson 21: Use visual models to add two fractions with related units using the denominators 2, 3, 4, 5, 6, 8, 10, and 12. (Video) (Video) |
6 |
Mid-Module Assessment: Topics A-D (assessment ½ day, return ½ day, remediation or further applications 1 day) | 2 | ||
4.NF.1 4.NF.2 4.NF.3 4.NBT.6 4.NF.4a 4.MD.4 |
E |
Extending Fraction Equivalence to Fractions Greater than 1 Topic E Overview Lesson 22: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models. (Video) Lesson 23: Add and multiply unit fractions to build fractions greater than 1 using visual models. (Video) Lesson 24, Lesson 25: Decompose and compose fractions greater than 1 to express them in various forms. (Video) (Video) Lesson 26: Compare fractions greater than 1 by reasoning using benchmark fractions. (Video) Lesson 27: Compare fractions greater than 1 by creating common numerators or denominators. (Video) Lesson 28: Solve word problems with line plots. (Video) |
7 |
4.NF.3c 4.NF.3d 4.MD.4 4.MD.2 |
F |
Addition and Subtraction of Fractions by Decomposition Topic F Overview Lesson 29 Estimate sums and differences using benchmark numbers. (Video) Lesson 30: Add a mixed number and a fraction. (Video) Lesson 31: Add mixed numbers. (Video) Lesson 32: Subtract a fraction from a mixed number (Video) Lesson 33: Subtract a mixed number from a mixed number. (Video) Lesson 34: Subtract mixed numbers. (Video) |
6 |
4.NF.4 4.MD.4 4.OA.2 4.MD.2 |
G |
Repeated Addition of Fractions as Multiplication Topic G Overview Lesson 35, Lesson 36: Represent the multiplication of n times a/b as (n x a)/b using the associative property and visual models. (Video) (Video) Lesson 37, Lesson 38: Find the product of a whole number and a mixed number using the distributive property. (Video)(Video) Lesson 39: Solve multiplicative comparison word problems involving fractions. (Video) Lesson 40: Solve word problems involving the multiplication of a whole number and a fraction including those involving line plots. (Video) |
6 |
4.OA.5 | H |
Exploration Topic H Overview Lesson 41: Find and use a pattern to calculate the sum of all fractional parts between 0 and 1. Share and critique peer strategies. (Video) |
1 |
End-of-Module Assessment: Topics A-H (assessment ½ day, return ½ day, remediation or further applications 1 day) | 2 | ||
Total Number of Instructional Days | 45 |
Standards | Topics and Objectives (Module 6) | Days | |
---|---|---|---|
4.NF.6 4.NBT.1 4.MD.1 |
A |
Exploration of Tenths Module 6 Overview Topic A Overview Lesson 1: Use metric measurement to model the decomposition of one whole into tenths. (Video) Lesson 2: Use metric measurement and area models to represent tenths as fractions greater than 1 and decimal numbers. (Video) Lesson 3: Represent mixed numbers with units of tens, ones, and tenths with number disks, on the number line, and in expanded form. (Video) |
3 |
4.NF.5 4.NF.6 4.NBT.1 4.NF.1 4.NF.7 4.MD.1 |
B |
Tenths and Hundredths Topic B Overview Lesson 4: Use meters to model the decomposition of one whole into hundredths. Represent and count hundredths. (Video) Lesson 5: Model the equivalence of tenths and hundredths using the area model and number disks. (Video) Lesson 6: Use the area model and number line to represent mixed numbers with units of ones, tenths, and hundredths in fraction and decimal forms. (Video) Lesson 7: Model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded form and on the place value chart. (Video) Lesson 8: Use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units. (Video) |
5 |
Mid-Module Assessment: Topics A-B (assessment 1 day, return ½ day, remediation or further applications ½ day) | 2 | ||
4.NF.7 4.MD.1 4.MD.2 |
C |
Decimal Comparison Topic C Overview Lesson 9: Use the place value chart and metric measurement to compare decimals and answer comparison questions. (Video) Lesson 10: Use area models and the number line to compare decimal numbers, and record comparisons using <, >, and =. (Video) Lesson 11: Compare and order mixed numbers in various forms. (Video) |
3 |
4.NF.5 4.NF.6 4.NF.3c 4.MD.1 |
D |
Addition with Tenths and Hundredths Topic D Overview Lesson 12: Apply understanding of fraction equivalence to add tenths and hundredths. (Video) Lesson 13: Add decimal numbers by converting to fraction form. (Video) Lesson 14: Solve word problems involving the addition of measurements in decimal form. (Video) |
3 |
4.MD.2 4.NF.5 4.NF.6 |
E |
Money Amounts as Decimal Numbers Topic E Overview Lesson 15: Express money amounts given in various forms as decimal numbers. (Video) Lesson 16: Solve word problems involving money. (Video) |
2 |
End-of-Module Assessment: Topics A-E (assessment 1 day, return ½ day, remediation or further applications ½ day) | 2 | ||
Total Number of Instructional Days | 20 |
Standards | Topics and Objectives (Module 7) | Days | |
---|---|---|---|
4.OA.1 4.OA.2 4.MD.1 4.NBT.5 4.MD.2 |
A |
Measurement Conversion Tables Module 7 Overview Topic A Overview Lesson 1, Lesson 2: Create conversion tables for length, weight, and capacity units using measurement tools, and use the tables to solve problems. (Video) Lesson 3: Create conversion tables for units of time, and use the tables to solve problems. (Video) Lesson 4: Solve multiplicative comparison word problems using measurement conversion tables. (Video) Lesson 5: Share and critique peer strategies. (Video) |
5 |
4.OA.2 4.OA.3 4.MD.1 4.MD.2 4.NBT.5 4.NBT.6 |
B |
Problem Solving with Measurement Topic B Overview Lesson 6: Solve Problems involving mixed units of capacity. (Video) Lesson 7: Solve problems involving mixed units of length. (Video) Lesson 8: Solve problems involving mixed units of weight. (Video) Lesson 9: Solve problem involving mixed units of time. (Video) Lesson 10, Lesson 11: Solve multi-step measurement word problems. (Video) |
6 |
4.OA.3 4.MD.1 4.MD.2 4.NBT.5 4.NBT.6 |
C |
Investigation of Measurements Expressed as Mixed Numbers Topic C Overview Lesson 12, Lesson 13: Use measurement tools to convert mixed number measurements to smaller units. (Video) Lesson 14: Solve multi-step word problems involving converting mixed number measurements to a single unit. (Video) |
3 |
End-of-Module Assessment: Topics A-C (assessment 1 day, ½ day return, remediation or further application ½ day) | 2 | ||
D |
Year in Review Topic D Overview Lesson 15, Lesson 16: Create and determine the area of composite figures. (Video) Lesson 17: Practice and solidify Grade 4 fluency. Lesson 18: Practice and solidify Grade 4 vocabulary. |
4 | |
Total Number of Instructional Days | 20 |
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