English Language Arts

Mathematics

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## CO.4.1.Number Sense, Properties, and Operations

Number Sense, Properties, and Operations
4.1.1. The decimal number system to the hundredths place describes place value patterns and relationships that are repeated in large and small numbers and forms the foundation for efficient algorithms. Students can:
4.1.1.a. Generalize place value understanding for multi-digit whole numbers (CCSS: 4.NBT)
4.1.1.a.i. Explain that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. (CCSS: 4.NBT.1)
Flip Charts Box It Up
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Estimation
Vocabulary Terms Expanding Numbers
Vocabulary Terms Greater Than/Less Than
Vocabulary Terms Place Value
Vocabulary Terms Place Value
Vocabulary Terms Place Value
Vocabulary Terms Rounding Numbers
Vocabulary Terms Whole Numbers to Millions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Expanding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponential & Scientific Notation
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering and Comparing Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding to Nearest 10
Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions

4.1.1.a.ii. Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. (CCSS: 4.NBT.2)
Flip Charts Box It Up
Vocabulary Terms Expanding Numbers
Vocabulary Terms Place Value
Vocabulary Terms Whole Numbers to Millions
Quiz, Flash Cards, Worksheet, Game & Study Guide Expanding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words to 1,000
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions

4.1.1.a.iii. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. (CCSS: 4.NBT.2)
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponential & Scientific Notation
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering and Comparing Numbers

4.1.1.a.iv. Use place value understanding to round multi-digit whole numbers to any place. (CCSS: 4.NBT.3)
Vocabulary Terms Estimation
Vocabulary Terms Rounding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding to Nearest 10

4.1.1.b. Use decimal notation to express fractions, and compare decimal fractions (CCSS: 4.NF)
4.1.1.b.i. 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. (CCSS: 4.NF.5)
Flip Charts Box It Up
Vocabulary Terms Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions

4.1.1.b.ii. Use decimal notation for fractions with denominators 10 or 100. (CCSS: 4.NF.6)
Flip Charts Box It Up
Vocabulary Terms Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions

4.1.1.b.iii. Compare two decimals to hundredths by reasoning about their size. (CCSS: 4.NF.7)
Vocabulary Terms Less Than, Greater Than
Vocabulary Terms Ordering Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals

4.1.2. Different models and representations can be used to compare fractional parts. Students can:
4.1.2.a. Use ideas of fraction equivalence and ordering to: (CCSS: 4.NF)
4.1.2.a.i. Explain equivalence of fractions using drawings and models.
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Triangle Tricks
Vocabulary Terms Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

4.1.2.a.ii. Use the principle of fraction equivalence to recognize and generate equivalent fractions. (CCSS: 4.NF.1)
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Triangle Tricks
Vocabulary Terms Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

4.1.2.a.iii. Compare two fractions with different numerators and different denominators, and justify the conclusions. (CCSS: 4.NF.2)
Flip Charts Box It Up
Flip Charts Triangle Tricks
Vocabulary Terms Comparing Fractions
Vocabulary Terms Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

4.1.2.b. Build fractions from unit fractions by applying understandings of operations on whole numbers. (CCSS: 4.NF)
4.1.2.b.i. Apply previous understandings of addition and subtraction to add and subtract fractions.
4.1.2.b.i.1. Compose and decompose fractions as sums and differences of fractions with the same denominator in more than one way and justify with visual models.

4.1.2.b.i.2. Add and subtract mixed numbers with like denominators. (CCSS: 4.NF.3c)
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

4.1.2.b.i.3. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators. (CCSS: 4.NF.3d)
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

4.1.2.b.ii. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. (CCSS: 4.NF.4)
4.1.2.b.ii.1. Express a fraction a/b as a multiple of 1/b. (CCSS: 4.NF.4a)
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Our Atmosphere
Flip Charts Triangle Tricks
Vocabulary Terms Comparing Fractions
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Equivalent Fractions
Vocabulary Terms Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Pattern Blocks
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

4.1.2.b.ii.2. Use a visual fraction model to express a/b as a multiple of 1/b, and apply to multiplication of whole number by a fraction. (CCSS: 4.NF.4b)

4.1.2.b.ii.3. Solve word problems involving multiplication of a fraction by a whole number. (CCSS: 4.NF.4c)

4.1.3. Formulate, represent, and use algorithms to compute with flexibility, accuracy, and efficiency. Students can:
4.1.3.a. Use place value understanding and properties of operations to perform multi-digit arithmetic. (CCSS: 4.NBT)
4.1.3.a.i. Fluently add and subtract multi-digit whole numbers using standard algorithms. (CCSS: 4.NBT.4)
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Step It Up
Vocabulary Terms Double Digit Subtraction
Vocabulary Terms Regrouping
Vocabulary Terms Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide 4 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition/Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Associative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.1.3.a.ii. 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. (CCSS: 4.NBT.5)
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Division
Vocabulary Terms More Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Division/Multiplication
Vocabulary Terms Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.1.3.a.iii. 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. (CCSS: 4.NBT.6)
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Division
Vocabulary Terms Division
Vocabulary Terms Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

4.1.3.a.iv. Illustrate and explain multiplication and division calculation by using equations, rectangular arrays, and/or area models. (CCSS: 4.NBT.6)
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Division
Vocabulary Terms Division
Vocabulary Terms More Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Division/Multiplication
Vocabulary Terms Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.1.3.b. Use the four operations with whole numbers to solve problems. (CCSS: 4.OA)
4.1.3.b.i. Interpret a multiplication equation as a comparison. (CCSS: 4.OA.1)

4.1.3.b.ii. Represent verbal statements of multiplicative comparisons as multiplication equations. (CCSS: 4.OA.1)
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.1.3.b.iii. Multiply or divide to solve word problems involving multiplicative comparison. (CCSS: 4.OA.2)
Vocabulary Terms Problem Solving
Quiz, Flash Cards, Worksheet, Game & Study Guide Problem Solving
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.1.3.b.iv. 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. (CCSS: 4.OA.3)
Vocabulary Terms Problem Solving
Vocabulary Terms Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Problem Solving
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.1.3.b.vii. Using the four operations analyze the relationship between choice and opportunity cost (PFL).
Vocabulary Terms Problem Solving
Vocabulary Terms Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Problem Solving
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

## CO.4.2.Patterns, Functions, and Algebraic Structures

Patterns, Functions, and Algebraic Structures
4.2.1. Number patterns and relationships can be represented by symbols. Students can:
4.2.1.a. Generate and analyze patterns and identify apparent features of the pattern that were not explicit in the rule itself. (CCSS: 4.OA.5)
4.2.1.a.i. Use number relationships to find the missing number in a sequence.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

4.2.1.a.ii. Use a symbol to represent and find an unknown quantity in a problem situation.
Vocabulary Terms Algebra
Vocabulary Terms Evaluate Open Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine the One Operation Function
Quiz, Flash Cards, Worksheet, Game & Study Guide Evaluate Open Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Open Number Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.2.1.a.iv. Find the unknown in simple equations.
Vocabulary Terms Algebra
Vocabulary Terms Evaluate Open Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine the One Operation Function
Quiz, Flash Cards, Worksheet, Game & Study Guide Evaluate Open Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Open Number Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.2.1.b. Apply concepts of squares, primes, composites, factors, and multiples to solve problems.
4.2.1.b.i. Find all factor pairs for a whole number in the range 1–100. (CCSS: 4.OA.4)
Vocabulary Terms Common Factors
Quiz, Flash Cards, Worksheet, Game & Study Guide Common Factors

4.2.1.b.ii. Recognize that a whole number is a multiple of each of its factors. (CCSS: 4.OA.4)
Vocabulary Terms Common Factors
Quiz, Flash Cards, Worksheet, Game & Study Guide Common Factors

## CO.4.4.Shape, Dimension, and Geometric Relationships

Shape, Dimension, and Geometric Relationships
4.4.1. Appropriate measurement tools, units, and systems are used to measure different attributes of objects and time. Students can:
4.4.1.a. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. (CCSS: 4.MD)
4.4.1.a.i. Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. (CCSS: 4.MD.1)

4.4.1.a.ii. 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. (CCSS: 4.MD.1)

4.4.1.a.v. Apply the area and perimeter formulas for rectangles in real world and mathematical problems. (CCSS: 4.MD.3)
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

4.4.1.b. Use concepts of angle and measure angles. (CCSS: 4.MD)
4.4.1.b.i. Describe angles as geometric shapes that are formed wherever two rays share a common endpoint, and explain concepts of angle measurement. (CCSS: 4.MD.5)
Flip Charts Lines & Angles
Vocabulary Terms Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

4.4.1.b.ii. Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. (CCSS: 4.MD.6)
Vocabulary Terms Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

4.4.2. Geometric figures in the plane and in space are described and analyzed by their attributes. Students can:
4.4.2.a. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. (CCSS: 4.G.1)
Flip Charts Lines & Angles
Flip Charts Polygons
Flip Charts Polygons
Vocabulary Terms Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

4.4.2.b. Identify points, line segments, angles, and perpendicular and parallel lines in two-dimensional figures. (CCSS: 4.G.1)
Flip Charts Lines & Angles
Flip Charts Polygons
Flip Charts Polygons
Vocabulary Terms Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

4.4.2.c. Classify and identify two-dimensional figures according to attributes of line relationships or angle size. (CCSS: 4.G.2)
Flip Charts Polygons
Flip Charts Polygons
Flip Charts Shape Up
Vocabulary Terms Congruent Shapes
Vocabulary Terms Shapes
Vocabulary Terms Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes

4.4.2.d. Identify a line of symmetry for a two-dimensional figure. (CCSS: 4.G.3)
Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry