4th GRADE Math Curriculum

• UNIT INTRO: Pre-Test & Activity
• LESSON 1: The Value of a Digit (powers of 10)
• LESSON 2: The Value of a Digit (part 2)
• LESSON 3: Reading Large Numbers
• LESSON 4: Word Form & Standard Form
• LESSON 5: Expanded Form
• LESSON 6: Comparing Numbers
• LESSON 7: Ordering Numbers
• LESSON 8: Rounding Numbers
• UNIT REVIEW GAME
• UNIT CLOSURE: Post-Test & Activity

STANDARDS:

• 4.NBT.A.1 - Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
• 4.NBT.A.2 - Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
• 4.NBT.A.3 - Use place value understanding to round multi-digit whole numbers to any place.

• UNIT INTRO: Pre-Test & Activity
• LESSON 1: Addition using Place Value Charts
• LESSON 2: Addition using the Standard Algorithm
• LESSON 3: Multi-Step Problem Solving with Addition
• LESSON 4: Subtraction using Place Value Charts
• LESSON 5: Subtraction using the Standard Algorithm
• LESSON 6: Regrouping Across Multiple Places
• LESSON 7: Problem Solving with Subtraction
• LESSON 8: Multi-Step Problem Solving with Addition & Subtraction
• UNIT REVIEW GAME
• UNIT CLOSURE: Post-Test & Activity

STANDARDS:

•  4.NBT.B.4 - Fluently add and subtract multi-digit whole numbers using the standard algorithm.
• 4.OA.A.3 - Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

• UNIT INTRO: Pre-Test & Activity
• LESSON 1: Multiplying by 10, 100, & 1,000
• LESSON 2: Multiplying by Multiples OF 10, 100, & 1,000
• LESSON 3: Multiplying Two Multiples of Ten
• LESSON 4: Estimating Products
• LESSON 5: Area Models: 1-digit by 2-digit
• LESSON 6: Area Models: 1-digit by 3 & 4-digit
• LESSON 7: Area Models: Two 2-digit Numbers
• LESSON 8: Practice with Area Models
• LESSON 9: Partial Products: 1-digit by 3 & 4-digit
• LESSON 10: Partial Products: Two 2-digit Numbers
• LESSON 11: Practice with Partial Products
• UNIT REVIEW GAME
• UNIT CLOSURE: Post-Test & Activity

STANDARDS:

• 4.NBT.B.5 - Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

• UNIT INTRO: Pre-Test & Activity
• LESSON 1: Introduction to Remainders
• LESSON 2: Interpreting Remainders
• LESSON 3: Divide Multiples of 10, 100, & 1,000
• LESSON 4: Estimating Quotients
• LESSON 5: Dividing with Area Models (no remainders)
• LESSON 6: Dividing with Area Models (with remainders)
• LESSON 7: Dividing with Partial Quotients (no remainders)
• LESSON 8: Dividing with Partial Quotients (with remainders)
• LESSON 9: Partial Quotient Practice
• LESSON 10: Problem Solving: Multiplicative Comparison
• LESSON 11: Problem Solving: Multiplication or Division
• LESSON 12: Multi-Step Problem Solving
• UNIT REVIEW GAME
• UNIT CLOSURE: Post-Test & Activity

STANDARDS:

• 4.NBT.B.6 - Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
• 4.OA.A.2 - Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
• 4.OA.A.3 - Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

• UNIT INTRO: Pre-Test & Activity
• LESSON 1: Finding Factors
• LESSON 2: Factors and Divisibility Rules
• LESSON 3: Finding Multiples
• LESSON 4: The Relationship between Factors & Multiples
• LESSON 5: Prime and Composite Numbers
• LESSON 6: Generating Patterns
• LESSON 7: Number Patterns
• LESSON 8: Shape Patterns
• UNIT REVIEW GAME
• UNIT CLOSURE: Post-Test & Activity

STANDARDS:

• 4.OA.B.4 - Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.
• 4.OA.C.5 - Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.

• UNIT INTRO: Pre-Test & Activity
• LESSON 1: Equivalent Fractions: Models
• LESSON 2: Equivalent Fractions: Number Lines
• LESSON 3: Equivalent Fractions: Multiplication & Division
• LESSON 4: Simplifying Fractions
• LESSON 5: Comparing Fractions: Models
• LESSON 6: Comparing Fractions: Benchmarks
• LESSON 7: Comparing Fractions: Common Denominators
• LESSON 8: Converting Mixed Numbers to Improper Fractions
• LESSON 9: Converting Improper Fractions to Mixed Numbers
• UNIT REVIEW GAME
• UNIT CLOSURE: Post-Test & Activity

STANDARDS:

• 4.NF.A.1 - Explain why a fraction 𝘢/𝘣 is equivalent to a fraction (𝘯 × 𝘢)/(𝘯 × 𝘣) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
• 4.NF.A.2 - Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

• UNIT INTRO: Pre-Test & Activity
• LESSON 1: Decomposing Fractions with Models
• LESSON 2: Decomposing Mixed Numbers with Models
• LESSON 3: Decomposing Practice
• LESSON 4: Adding Fractions with Models
• LESSON 5: Adding Fractions
• LESSON 6: Subtracting Fractions with Models
• LESSON 7: Subtracting Fractions
• LESSON 8: Problem Solving with Add/Sub Fractions
• LESSON 9: Adding Mixed Numbers with Models
• LESSON 10: Adding Mixed Numbers with Regrouping
• LESSON 11: Subtracting Mixed Numbers with Models
• LESSON 12: Subtracting Mixed Numbers with Regrouping
• LESSON 13: Adding & Subtracting Mixed Numbers Practice
• LESSON 14: Problem Solving with Add/Sub Mixed Numbers
• UNIT REVIEW GAME
• UNIT CLOSURE: Post-Test & Activity

STANDARDS:

• 4.NF.B.3 - Understand a fraction 𝘢/𝘣 with 𝘢 > 1 as a sum of fractions 1/𝘣.
• 4.NF.B.3a - Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
• 4.NF.B.3b - Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
• 4.NF.B.3c - Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
• 4.NF.B.3d - Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

• UNIT INTRO: Pre-Test & Activity
• LESSON 1: Understanding a fraction a/b as a multiple of 1/b
• LESSON 2: Multiply Whole Numbers and Unit Fractions
• LESSON 3: Understand a multiple of a/b as a multiple of 1/b
• LESSON 4: Multiply Whole Numbers and Fractions
• LESSON 5: Equivalent Multiplication Problems
• LESSON 6: Multiply Whole Numbers and Mixed Numbers
• LESSON 7: Multiply Whole Numbers and Fractions Practice
• LESSON 8: Problem Solving
• UNIT REVIEW GAME
• UNIT CLOSURE: Post-Test & Activity

STANDARDS:

• 4.NF.B.4 - Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
• 4.NF.B.4a - Understand a fraction 𝘢/𝘣 as a multiple of 1/𝘣. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
• 4.NF.B.4b - Understand a multiple of 𝘢/𝘣 as a multiple of 1/𝘣, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, 𝘯 × (𝘢/𝘣) = (𝘯 × 𝘢)/𝘣.)
• 4.NF.B.4c - Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?

• UNIT INTRO: Pre-Test & Activity
• LESSON 1: Understanding a fraction a/b as a multiple of 1/b
• LESSON 2: Multiply Whole Numbers and Unit Fractions
• LESSON 3: Understand a multiple of a/b as a multiple of 1/b
• LESSON 4: Multiply Whole Numbers and Fractions
• LESSON 5: Equivalent Multiplication Problems
• LESSON 6: Multiply Whole Numbers and Mixed Numbers
• LESSON 7: Multiply Whole Numbers and Fractions Practice
• LESSON 8: Problem Solving
• UNIT REVIEW GAME
• UNIT CLOSURE: Post-Test & Activity

STANDARDS:

• 4.NF.C.5 - Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
• 4.NF.C.6 - Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
• 4.NF.C.7 - Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.

• UNIT INTRO: Pre-Test & Activity
• LESSON 1: Geometric Terms
• LESSON 2: Types of Angles
• LESSON 3: Types of Lines
• LESSON 4: Classify Triangles by Angle Type
• LESSON 5: Classify Triangles by Sides
• LESSON 6: Classify Quadrilaterals
• LESSON 7: Practice Classifying Quadrilaterals
• LESSON 8: Identify Lines of Symmetry
• LESSON 9: Draw Lines of Symmetry
• LESSON 10: Common Angle Measurements
• LESSON 11: Using a Protractor
• LESSON 12: Finding Unknown Angles
• UNIT REVIEW GAME
• UNIT CLOSURE: Post-Test & Activity

STANDARDS:

• 4.MD.C.5 - Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
• 4.MD.C.5a - An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.
• 4.MD.C.5b - An angle that turns through 𝘯 one-degree angles is said to have an angle measure of 𝘯 degrees.
• 4.MD.C.6 - Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
• 4.MD.C.7 - Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.
• 4.G.A.1 - Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
• 4.G.A.2 - Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
• 4.G.A.3 - Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

• UNIT INTRO: Pre-Test & Activity
• LESSON 1: Customary: Benchmark Measurements
• LESSON 2: Metric: Benchmark Measurements
• LESSON 3: Customary: Converting Length
• LESSON 4: Metric: Converting Length
• LESSON 5: Customary: Converting Mass
• LESSON 6: Metric: Converting Mass & Volume
• LESSON 7: Customary: Converting Volume
• LESSON 8: Converting Practice
• LESSON 9: Converting Time
• LESSON 10: Customary: Problem Solving
• LESSON 11: Metric: Problem Solving
• LESSON 12: Area & Perimeter: Formulas
• LESSON 13: Area & Perimeter: Unknown Sides
• LESSON 14: Construct Line Plots
• LESSON 15: Interpret Line Plots
• UNIT REVIEW GAME
• UNIT CLOSURE: Post-Test & Activity

STANDARDS:

• 4.MD.A.1 - Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36),...
• 4.MD.A.2 - Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
• 4.MD.A.3 - Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
• 4.MD.B.4 - Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.