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Module 1: Place Value Concepts for Addition and Subtraction |
Lesson 1: Interpret multiplication as multiplicative comparison. |
Lesson 2: Solve multiplicative comparison problems with unknowns in various positions. |
Lesson 3: Describe relationships between measurements by using multiplicative comparison. |
Lesson 4: Represent the composition of larger units of money by using multiplicative comparison. |
Lesson 5: Organize, count, and represent a collection of objects. |
Lesson 6: Demonstrate that a digit represents 10 times the value of what it represents in the place to its right. |
Lesson 7: Write numbers to 1,000,000 in unit form and expanded form by using place value structure. |
Lesson 8: Write numbers to 1,000,000 in standard form and word form. |
Lesson 9: Compare numbers within 1,000,000 by using >, =, and < . |
Lesson 10: Name numbers by using place value understanding. |
Lesson 11: Find 1, 10, and 100 thousand more than and less than a given number. |
Lesson 12: Round to the nearest thousand. |
Lesson 13: Round to the nearest ten thousand and hundred thousand. |
Lesson 14: Round multi-digit numbers to any place. |
Lesson 15: Apply estimation to real-world situations by using rounding. |
Lesson 16: Add by using the standard algorithm. |
Lesson 17: Solve multi-step addition word problems by using the standard algorithm. |
Lesson 18: Subtract by using the standard algorithm, decomposing larger units once. |
Lesson 19: Subtract by using the standard algorithm, decomposing larger units up to 3 times. |
Lesson 20: Subtract by using the standard algorithm, decomposing larger units multiple times. |
Lesson 21: Solve two-step word problems by using addition and subtraction. |
Lesson 22: Solve multi-step word problems by using addition and subtraction. |
Lesson 23: Express metric measurements of length in terms of smaller units. |
Lesson 24: Express metric measurements of mass and liquid volume in terms of smaller units. |
Module 2: Place Value Concepts for Multiplication and Division |
Lesson 1: Multiply multiples of 10 by one-digit numbers by using the associative property of multiplication. |
Lesson 2: Divide two- and three-digit multiples of 10 by one-digit numbers |
Lesson 3: Investigate and use a formula for the area of a rectangle. |
Lesson 4: Multiply by using familiar strategies. |
Lesson 5: Multiply by using place value strategies and the distributive property. |
Lesson 6: Multiply with regrouping by using place value strategies and the distributive property. |
Lesson 7: Multiply by using an area model and the distributive property. |
Lesson 8: Multiply by applying the distributive property and write equations. |
Lesson 9: Solve multiplication word problems. |
Lesson 10: Multiply by applying simplifying strategies. (Optional) |
Lesson 11: Divide by using familiar strategies. |
Lesson 12: Divide two-digit numbers by one-digit numbers by using an area model. |
Lesson 13: Divide three-digit numbers by one-digit numbers by using an area model. |
Lesson 14: Divide two-digit numbers by one-digit numbers by using place value strategies. |
Lesson 15: Divide three-digit numbers by one-digit numbers by using place value strategies. |
Lesson 16: Divide by using the break apart and distribute strategy. |
Lesson 17: Express measurements of length in terms of smaller units. |
Lesson 18: Investigate and use formulas for the perimeter of a rectangle. |
Lesson 19: Apply area and perimeter formulas to solve problems. |
Lesson 20: Solve word problems involving additive and multiplicative comparisons. |
Lesson 21: Find factor pairs for numbers up to 100 and use factors to identify numbers as prime or composite. |
Lesson 22: Use division and the associative property of multiplication to find factors. |
Lesson 23: Determine whether a whole number is a multiple of another number. |
Lesson 24: Recognize that a number is a multiple of each of its factors. |
Lesson 25: Explore properties of prime and composite numbers up to 100 by using multiples. |
Lesson 26: Use relationships within a pattern to find an unknown term in the sequence. |
Module 3: Multiplication and Division of Multi-Digit Numbers |
Lesson 1: Divide multiples of 100 and 1000. |
Lesson 2: Multiply by multiples of 100 and 1000. |
Lesson 3: Multiply a two-digit multiple of 10 by a two-digit multiple of 10. |
Lesson 4: Apply place value strategies to divide hundreds, tens, and ones. |
Lesson 5: Apply place value strategies to divide thousands, hundreds, tens, and ones. |
Lesson 6: Connect pictorial representations of division to long division. |
Lesson 7: Represent division by using partial quotients. |
Lesson 8: Choose and apply a method to divide multi-digit numbers. |
Lesson 9: Apply place value strategies to multiply three-digit numbers by one-digit numbers. |
Lesson 10: Apply place value strategies to multiply four-digit numbers by one-digit numbers. |
Lesson 11: Represent multiplication by using partial products. |
Lesson 12: Multiply by using various recording methods in vertical form. |
Lesson 13: Multiply two-digit numbers by two-digit multiples of 10. |
Lesson 14: Apply place value strategies to multiply two-digit numbers by two-digit numbers. |
Lesson 15: Multiply with four partial products. |
Lesson 16: Multiply with two partial products. |
Lesson 17: Apply the distributive property to multiply. |
Lesson 18: Express units of time in terms of smaller units. |
Lesson 19: Express customary measurements of weight in terms of smaller units. |
Lesson 21: Find whole-number quotients and remainders. |
Lesson 22: Represent, estimate, and solve division word problems. |
Lesson 23: Solve multi-step word problems and interpret remainders. |
Lesson 24: Solve multi-step word problems and assess the reasonableness of solutions. |
Module 4: Foundations for Fraction Operations |
Lesson 1: Decompose whole numbers into a sum of unit fractions. |
Lesson 2: Decompose fractions into a sum of unit fractions. |
Lesson 3: Decompose fractions into a sum of fractions. |
Lesson 4: Represent fractions by using various fraction models. |
Lesson 5: Rename fractions greater than 1 as mixed numbers. |
Lesson 6: Rename mixed numbers as fractions greater than 1. |
Lesson 7: Rename fractions as a sum of equivalent smaller unit fractions. |
Lesson 8: Generate equivalent fractions with smaller units for unit fractions. |
Lesson 9: Generate equivalent fractions with smaller units for non-unit fractions. |
Lesson 10: Generate equivalent fractions with larger units. |
Lesson 11: Represent equivalent fractions by using tape diagrams, number lines, and multiplication or division. |
Lesson 12: Generate equivalent fractions for fractions greater than 1 and generate equivalent mixed numbers. |
Lesson 13: Compare fractions by using the benchmarks 0, 1/2, and 1. |
Lesson 14: Compare fractions with related denominators. |
Lesson 15: Compare fractions with related numerators. |
Lesson 16: Generate a common numerator or denominator to compare fractions. |
Lesson 17: Apply fraction comparison strategies to compare fractions greater than 1. |
Lesson 18: Estimate sums and differences of fractions by using benchmarks. |
Lesson 19: Add and subtract fractions with like units. |
Lesson 20: Subtract a fraction from a whole number. |
Lesson 21: Solve addition and subtraction word problems and estimate the reasonableness of the answers. |
Lesson 22: Add two fractions with related units. (Optional) |
Lesson 23: Add a fraction to a mixed number. |
Lesson 24: Add a mixed number to a mixed number. |
Lesson 25: Subtract a fraction from a mixed number, part 1. |
Lesson 26: Subtract a fraction from a mixed number, part 2. |
Lesson 27: Subtract a mixed number from a mixed number. |
Lesson 28: Represent and solve word problems with mixed numbers by using drawings and equations. |
Lesson 29: Solve problems by using data from a line plot. |
Lesson 30: Represent data on a line plot. |
Lesson 31: Decompose non-unit fractions into a product of a whole number and a unit fraction. |
Lesson 32: Multiply a fraction by a whole number by using the associative property. |
Lesson 33: Solve word problems involving multiplication of a fraction by a whole number. |
Lesson 34: Multiply a mixed number by a whole number by using the distributive property. |
Module 5: Place Value Concepts for Decimal Fractions |
Lesson 1: Organize, count, and represent a collection of money. |
Lesson 2: Decompose 1 one and express tenths in fraction form and decimal form. |
Lesson 3: Represent tenths as a place value unit. |
Lesson 4: Write mixed numbers in decimal form with tenths. |
Lesson 5: Decompose 1 one and express hundredths in fraction form and decimal form. |
Lesson 6: Represent hundredths as a place value unit. |
Lesson 7: Write mixed numbers in decimal form with hundredths. |
Lesson 8: Represent decimal numbers in expanded form. |
Lesson 9: Compare measurements expressed as decimal numbers. |
Lesson 10: Use pictorial representations to compare decimal numbers. |
Lesson 11: Compare and order decimal numbers. |
Lesson 12: Apply fraction equivalence to add tenths and hundredths. |
Lesson 13: Apply fraction equivalence to add mixed numbers with tenths and hundredths. |
Lesson 14: Solve word problems with tenths and hundredths. |
Module 6: Angle Measurements and Plane Figures |
Lesson 1: Identify and draw points, lines, line segments, rays, and angles. |
Lesson 2: Identify right, acute, obtuse, and straight angles. |
Lesson 3: Draw right, acute, obtuse, and straight angles. |
Lesson 4: Identify, define, and draw perpendicular lines. |
Lesson 5: Identify, define, and draw parallel lines. |
Lesson 6: Relate geometric figures to a real-world context. |
Lesson 7: Explore angles as fractional turns through a circle. |
Lesson 8: Use a circular protractor to recognize a 1° angle as a turn through 1/360 of a circle. |
Lesson 9: Identify and measure angles as turns and recognize them in various contexts. |
Lesson 10: Use 180° protractors to measure angles. |
Lesson 11: Estimate and measure angles with a 180° protractor. |
Lesson 12: Use a protractor to draw angles up to 180°. |
Lesson 13: Decompose angles by using pattern blocks. |
Lesson 14: Find unknown angle measures within right and straight angles. |
Lesson 15: Find unknown angle measures within a decomposed angle of up to 180°. |
Lesson 16: Find unknown angle measures around a point. |
Lesson 17: Recognize, identify, and draw lines of symmetry. |
Lesson 18: Analyze and classify triangles based on side length, angle measures, or both. |
Lesson 19: Construct and classify triangles based on given attributes. |
Lesson 20: Sort polygons based on a given rule. |