Unit 1: Place Value & Whole Number Operations

• Read and write a multi-digit whole number using base ten numerals and expanded form

• Recognize a digit is ten times greater

• Compare and order multi-digit numbers

• Round multi-digit whole numbers

• Addition and subtraction of multi-digit whole numbers

• Solve multi-step problems using addition and subtraction

• Measure time and objects; analyze graphical displays

• Mathematical Practices

Unit 2: Patterns & Algebraic Reasoning

• Generate and analyze patterns, including those involving shapes, input/output diagrams, factors, multiples, prime numbers, and composite numbers

• Measure time and objects; analyze graphical displays

• Mathematical Practices

Unit 3: Multiplication & Division

• Interpret, model, and solve multiplicative comparisons

• Solve multiplication equations with a number up to four digits with a one-digit number

• Solve multiplication equations with two-digit numbers

• Solve division equations involving up to four-digit dividends and one-digit divisors

• Solve division equations where remainders must be interpreted

• Solve multi-step problems involving addition, subtraction, multiplication, and division

• Measure time and objects; analyze graphical displays

• Mathematical Practices

Unit 4: Fractions & Decimals

• Add, subtract, and compare fractions using part-whole strategies and visual models

• Add, subtract, and compare fractions with denominators of 10 and 100 using part-whole strategies and visual models; relate fractions with denominators of 10 and 100 to decimals

• Measure time and objects; analyze graphical displays

• Mathematical Practices

Unit 5: Angles

• Investigate, estimate, and measure angles.

• Mathematical Practices

Unit 6: Geometric Reasoning

• Explore, investigate, draw, and identify points, lines, line segments, rays, angles (right, acute, obtuse), perpendicular lines, parallel lines, and lines of symmetry in two-dimensional shapes.

• Classify, compare, and contrast polygons, based on lines of symmetry, parallel and perpendicular lines, and angles.

• Solve problems involving the area and perimeter of composite rectangles involving whole numbers with known side lengths.

• Mathematical Practices

Unit 1:  Investigating Volume of Solid Figures

• Investigate volume of right rectangular prisms using unit cubes.

• Discover how volume can be found using properties of right rectangular prisms.

• Write, interpret, and evaluate numerical expressions that represent volume.

Unit 2: Building Conceptual Understanding of Place Value Using Measurement & Data Reasoning 

• Explain the relationships between values of digits in numbers involving fractional comparison.

• Explain patterns when multiplying and dividing by powers of ten.

• Convert among customary and metric measurement units to explore real-life problems.

• Ask and answer questions based on data to solve relevant problems.

Unit 3: Building Conceptual Understanding of Multiplication & Division with Whole Numbers 

• Fluently multiply and divide multi-digit whole numbers to solve real-life problems.

• Write, interpret, and evaluate numerical expressions to represent real-life problems.

• Ask and answer questions based on data to solve relevant problems.

Unit 4: Building Fraction Understanding

• Compare and order fractions with different numerators and denominators.

• Model addition and subtraction of fractions and mixed numbers with unlike denominators to solve real-world problems.

• Ask and answer questions based on data represented with a dot plot to solve relevant problems.

Unit 5: Making Sense of Fraction Multiplication and Division

• Solve and explain problems involving division of whole numbers with fractional quotients.

• Model and reason about multiplication of fractions and whole numbers to solve real-world problems.

• Model division of unit fractions and whole numbers to solve real-world problems.

Unit 6: Extending Place Value and Working with Decimals to Solve Problems 

• Read, write, compare, and order decimal numbers in standard and expanded forms.

• Use place value reasoning to round decimal numbers.

• Solve problems involving addition and subtraction of decimal numbers.

• Ask and answer questions based on data to solve relevant problems.

Unit 7:Exploring Geometry &  the Coordinate Plane  

• Generate patterns and identify relationships between them by completing a table.

• Represent problems by plotting points in the coordinate plane.

• Examine and classify polygons and rectangular prisms into categories and subcategories based on their properties.