Academic Standards

4.NS.1: Read and write whole numbers up to 1,000,000. Use words, models, standard form and expanded form to represent and show equivalent forms of whole numbers up to 1,000,000.

Cannonball Clowns (Number Line Estimation)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

Number Systems

Whole Numbers with Base-10 Blocks

4.NS.2: Compare two whole numbers up to 1,000,000 using >, =, and < symbols.

Cannonball Clowns (Number Line Estimation)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

Rounding Whole Numbers (Number Line)

Treasure Hunter (Decimals on the Number Line)

Whole Numbers with Base-10 Blocks

4.NS.3: Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers. Name and write mixed numbers using objects or pictures. Name and write mixed numbers as improper fractions using objects or pictures.

Equivalent Fractions (Fraction Tiles)

Fractions Greater than One (Fraction Tiles)

Modeling Decimals (Area and Grid Models)

4.NS.4: 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 the principle to recognize and generate equivalent fractions.

Adding Fractions (Fraction Tiles)

Equivalent Fractions (Fraction Tiles)

Factor Trees (Factoring Numbers)

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)

4.NS.5: Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators, or by comparing to a benchmark, such as 0, 1/2, and 1). Recognize 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).

Adding Fractions (Fraction Tiles)

Equivalent Fractions (Fraction Tiles)

Factor Trees (Factoring Numbers)

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)

4.NS.6: Write tenths and hundredths in decimal and fraction notations. Use words, models, standard form and expanded form to represent decimal numbers to hundredths. Know the fraction and decimal equivalents for halves and fourths (e.g., 1/2 = 0.5 = 0.50, 7/4 = 1 3/4 = 1.75).

Fraction, Decimal, Percent (Area and Grid Models)

Modeling Decimals (Area and Grid Models)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

Multiplying Decimals (Area Model)

Treasure Hunter (Decimals on the Number Line)

4.NS.7: Compare two decimals to hundredths by reasoning about their size based on the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions (e.g., by using a visual model).

Adding Whole Numbers and Decimals (Base-10 Blocks)

Fraction, Decimal, Percent (Area and Grid Models)

Modeling Decimals (Area and Grid Models)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

Treasure Hunter (Decimals on the Number Line)

4.NS.8: 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.

Chocomatic (Multiplication, Arrays, and Area)

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

Pattern Flip (Patterns)

4.NS.9: Use place value understanding to round multi-digit whole numbers to any given place value.

Cannonball Clowns (Number Line Estimation)

Rounding Whole Numbers (Number Line)

4.C.1: Add and subtract multi-digit whole numbers fluently using a standard algorithmic approach.

Adding Whole Numbers and Decimals (Base-10 Blocks)

Cargo Captain (Multi-digit Subtraction)

Number Line Frog Hop (Addition and Subtraction)

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

Target Sum Card Game (Multi-digit Addition)

Whole Numbers with Base-10 Blocks

4.C.2: 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. Describe the strategy and explain the reasoning.

Chocomatic (Multiplication, Arrays, and Area)

Critter Count (Modeling Multiplication)

4.C.3: 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. Describe the strategy and explain the reasoning.

Factor Trees (Factoring Numbers)

No Alien Left Behind (Division with Remainders)

Pattern Flip (Patterns)

4.C.4: Multiply fluently within 100.

Chocomatic (Multiplication, Arrays, and Area)

Critter Count (Modeling Multiplication)

Factor Trees (Factoring Numbers)

Multiplying Decimals (Area Model)

4.C.5: Add and subtract fractions with common denominators. Decompose a fraction into a sum of fractions with common denominators. Understand addition and subtraction of fractions as combining and separating parts referring to the same whole.

Adding Fractions (Fraction Tiles)

Fraction Artist 1 (Area Models of Fractions)

Fraction Artist 2 (Area Models of Fractions)

Fractions Greater than One (Fraction Tiles)

Improper Fractions and Mixed Numbers

Modeling Fractions (Area Models)

4.C.6: Add and subtract mixed numbers with common 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).

Fractions Greater than One (Fraction Tiles)

Improper Fractions and Mixed Numbers

4.C.7: Show how the order in which two numbers are multiplied (commutative property) and how numbers are grouped in multiplication (associative property) will not change the product. Use these properties to show that numbers can by multiplied in any order. Understand and use the distributive property.

Chocomatic (Multiplication, Arrays, and Area)

Critter Count (Modeling Multiplication)

4.AT.1: Solve real-world problems involving addition and subtraction of multi-digit whole numbers (e.g., by using drawings and equations with a symbol for the unknown number to represent the problem).

Adding Whole Numbers and Decimals (Base-10 Blocks)

Cargo Captain (Multi-digit Subtraction)

Number Line Frog Hop (Addition and Subtraction)

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

Target Sum Card Game (Multi-digit Addition)

Whole Numbers with Base-10 Blocks

4.AT.2: Recognize and apply the relationships between addition and multiplication, between subtraction and division, and the inverse relationship between multiplication and division to solve real-world and other mathematical problems.

Chocomatic (Multiplication, Arrays, and Area)

Critter Count (Modeling Multiplication)

No Alien Left Behind (Division with Remainders)

Number Line Frog Hop (Addition and Subtraction)

4.AT.3: Interpret a multiplication equation as a comparison (e.g., interpret 35 = 5 × 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)

Factor Trees (Factoring Numbers)

Multiplying Decimals (Area Model)

4.AT.4: Solve real-world problems with whole numbers 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.

Chocomatic (Multiplication, Arrays, and Area)

Critter Count (Modeling Multiplication)

No Alien Left Behind (Division with Remainders)

Using Algebraic Equations

4.AT.5: Solve real-world problems involving addition and subtraction of fractions referring to the same whole and having common denominators (e.g., by using visual fraction models and equations to represent the problem).

Fraction Artist 1 (Area Models of Fractions)

Fraction Artist 2 (Area Models of Fractions)

Improper Fractions and Mixed Numbers

4.G.1: Identify, describe, and draw parallelograms, rhombuses, and trapezoids using appropriate tools (e.g., ruler, straightedge and technology).

4.G.2: Recognize and draw lines of symmetry in two-dimensional figures. Identify figures that have lines of symmetry.

4.G.3: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint.

Constructing Congruent Segments and Angles

Investigating Angle Theorems

4.G.4: Identify, describe, and draw rays, angles (right, acute, obtuse), and perpendicular and parallel lines using appropriate tools (e.g., ruler, straightedge and technology). Identify these in two-dimensional figures.

City Tour (Coordinates)

Classifying Quadrilaterals

Classifying Triangles

Constructing Parallel and Perpendicular Lines

Elevator Operator (Line Graphs)

4.G.5: Classify triangles and quadrilaterals based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles (right, acute, obtuse).

Classifying Quadrilaterals

Classifying Triangles

Parallelogram Conditions

4.M.1: Measure length to the nearest quarter-inch, eighth-inch, and millimeter.

Cannonball Clowns (Number Line Estimation)

4.M.2: Know relative sizes of measurement units within one system of units, including km, m, cm; kg, g; lb, oz; l, ml; hr, min, sec. Express measurements in a larger unit in terms of a smaller unit within a single system of measurement. Record measurement equivalents in a two-column table.

Cannonball Clowns (Number Line Estimation)

4.M.3: Use the four operations (addition, subtraction, multiplication and division) to solve real-world problems involving distances, intervals of time, volumes, masses of objects, and money. Include addition and subtraction problems involving simple fractions and problems that require expressing measurements given in a larger unit in terms of a smaller unit.

Adding Whole Numbers and Decimals (Base-10 Blocks)

Cannonball Clowns (Number Line Estimation)

Elapsed Time

Measuring Motion

Measuring Volume

Road Trip (Problem Solving)

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

Weight and Mass

4.M.5: Understand that 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. Understand an angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure other angles. Understand an angle that turns through n one-degree angles is said to have an angle measure of n degrees.

4.M.6: Measure angles in whole-number degrees using appropriate tools. Sketch angles of specified measure.

Chords and Arcs

Investigating Angle Theorems

4.DA.1: Formulate questions that can be addressed with data. Use observations, surveys, and experiments to collect, represent, and interpret the data using tables (including frequency tables), line plots, and bar graphs.

Graphing Skills

Mascot Election (Pictographs and Bar Graphs)

Movie Reviewer (Mean and Median)

Prairie Ecosystem

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

4.DA.3: Interpret data displayed in a circle graph.

Graphing Skills

Mascot Election (Pictographs and Bar Graphs)

Correlation last revised: 9/16/2020