MACC.4.OA: Operations and Algebraic Thinking

MACC.4.OA.1: Use the four operations with whole numbers to solve problems.

MACC.4.OA.1.1: Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 Ã? 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)

MACC.4.OA.1.2: 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.

No Alien Left Behind (Division with Remainders)

MACC.4.OA.1.3: 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.

No Alien Left Behind (Division with Remainders)
Target Sum Card Game (Multi-digit Addition)

MACC.4.OA.2: Gain familiarity with factors and multiples.

MACC.4.OA.2.4: 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.

Factor Trees (Factoring Numbers)

MACC.4.OA.3: Generate and analyze patterns.

MACC.4.OA.3.5: 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.

Pattern Flip (Patterns)

MACC.4.NBT: Number and Operations in Base Ten

MACC.4.NBT.1: Generalize place value understanding for multi-digit whole numbers.

MACC.4.NBT.1.1: 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.

Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Base-10 Blocks)

MACC.4.NBT.1.2: 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.

Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Base-10 Blocks)
Number Line Frog Hop (Addition and Subtraction)

MACC.4.NBT.1.3: Use place value understanding to round multi-digit whole numbers to any place.

Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Base-10 Blocks)
Rounding Whole Numbers (Number Line)

MACC.4.NBT.2: Use place value understanding and properties of operations to perform multi-digit arithmetic.

MACC.4.NBT.2.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

MACC.4.NBT.2.5: 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.

Cannonball Clowns (Number Line Estimation)

MACC.4.NBT.2.6: 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.

Function Machines 3 (Functions and Problem Solving)
No Alien Left Behind (Division with Remainders)

MACC.4.NF: Number and Operations-Fractions

MACC.4.NF.1: Extend understanding of fraction equivalence and ordering.

MACC.4.NF.1.1: Explain why a fraction a/b is equivalent to a fraction (n Ã? a)/(n Ã? 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.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

MACC.4.NF.1.2: 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.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

MACC.4.NF.2: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

MACC.4.NF.2.3: Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

MACC.4.NF.2.3.a: Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

Adding Fractions (Fraction Tiles)

MACC.4.NF.2.3.b: 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.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

MACC.4.NF.2.3.c: 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.

Equivalent Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Function Machines 3 (Functions and Problem Solving)

MACC.4.NF.2.3.d: 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.

Adding Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)

MACC.4.NF.2.4: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

MACC.4.NF.2.4.a: Understand a fraction a/b as a multiple of 1/b.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)

MACC.4.NF.2.4.b: Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.

Equivalent Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)

MACC.4.NF.3: Understand decimal notation for fractions, and compare decimal fractions.

MACC.4.NF.3.5: 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.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)

MACC.4.NF.3.7: 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.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Decimals (Base-10 Blocks)

MACC.4.MD: Measurement and Data

MACC.4.MD.1: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

MACC.4.MD.1.2: 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.

Elapsed Time
No Alien Left Behind (Division with Remainders)

MACC.4.MD.2: Represent and interpret data.

MACC.4.MD.2.4: 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.

Adding Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)

MACC.4.G: Geometry

MACC.4.G.1: Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

MACC.4.G.1.3: 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.

Quilting Bee (Symmetry)