5.NR: Numerical Reasoning – place value, multiplying by powers of 10, multiplication and division of multi-digit numbers, fractions, decimal numbers, numerical expressions

5.NR.1: Use place value understanding to solve real-life, mathematical problems.

5.NR.1.1: Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Number Systems
Treasure Hunter (Decimals on the Number Line)

5.NR.1.2: Explain patterns in the placement of digits when multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10, up to 10³.

Modeling Whole Numbers and Decimals (Base-10 Blocks)
Number Systems

5.NR.2: Multiply and divide multi-digit whole numbers to solve relevant, mathematical problems.

5.NR.2.1: Fluently multiply multi-digit (up to 3-digit by 2-digit) whole numbers to solve authentic problems.

Chocomatic (Multiplication, Arrays, and Area)

5.NR.2.2: Fluently divide multi-digit whole numbers (up to 4-digit dividends and 2-digit divisors no greater than 25) to solve practical problems.

No Alien Left Behind (Division with Remainders)

5.NR.3: Describe fractions and perform operations with fractions to solve relevant, mathematical problems using part-whole strategies and visual models.

5.NR.3.1: Explain the meaning of a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.

No Alien Left Behind (Division with Remainders)

5.NR.3.2: Compare and order up to three fractions with different numerators and/or different denominators by flexibly using a variety of tools and strategies.

Equivalent Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

5.NR.3.3: Model and solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators.

Adding Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators

5.NR.3.4: Model and solve problems involving multiplication of a fraction and a whole number.

Multiplying Fractions

5.NR.3.6: Model and solve problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.

Dividing Fractions

5.NR.4: Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.

5.NR.4.1: Read and write decimal numbers to the thousandths place using base ten numerals written in standard form and expanded form.

Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

5.NR.4.2: Represent, compare, and order decimal numbers to the thousandths place based on the meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Modeling Decimals (Area and Grid Models)
Treasure Hunter (Decimals on the Number Line)

5.NR.4.4: Solve problems involving addition and subtraction of decimal numbers to the hundredths place using a variety of strategies.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

5.PAR: Patterning & Algebraic Reasoning – generating patterns, plotting ordered pairs in the first quadrant

5.PAR.6: Solve relevant problems by creating and analyzing numerical patterns using the given rule(s).

5.PAR.6.2: Represent problems by plotting ordered pairs and explain coordinate values of points in the first quadrant of the coordinate plane.

City Tour (Coordinates)

5.MDR: Measurement & Data Reasoning – measurements within the metric system, measurement conversions and time as a unit of measurement

5.MDR.7: Solve problems involving customary measurements, metric measurements, and time and analyze graphical displays of data to answer relevant questions.

5.MDR.7.1: Explore realistic problems involving different units of measurement, including distance, mass, weight, volume, and time.

Cannonball Clowns (Number Line Estimation)
Elapsed Time
Prisms and Cylinders
Road Trip (Problem Solving)
Weight and Mass

5.MDR.7.3: Convert among units within the metric system and then apply these conversions to solve multistep, practical problems.

Cannonball Clowns (Number Line Estimation)
Unit Conversions

5.MDR.7.4: Convert among units within relative sizes of measurement units within the customary measurement system.

Cannonball Clowns (Number Line Estimation)

5.GSR: Geometric & Spatial Reasoning – Properties of polygons and rectangular prisms, classify polygons

5.GSR.8: Examine properties of polygons and rectangular prisms, classify polygons by their properties, and discover volume of right rectangular prisms.

5.GSR.8.1: Classify, compare, and contrast polygons based on properties.

Classifying Quadrilaterals
Classifying Triangles

5.GSR.8.2: Determine, through exploration and investigation, that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.

Classifying Quadrilaterals
Classifying Triangles

5.GSR.8.3: Investigate volume of right rectangular prisms by packing them with unit cubes without gaps or overlaps. Then, determine the total volume to solve problems.

Balancing Blocks (Volume)
Measuring Volume

5.GSR.8.4: Discover and explain how the volume of a right rectangular prism can be found by multiplying the area of the base times the height to solve authentic, mathematical problems.

Balancing Blocks (Volume)
Measuring Volume