|

Third Grade

Mathematical Content Standards

Unit 1: Math tools, time and multiplication

Power Standards

Power Standards

  • #1: Solve multiplication and division number and word problems within 100. (3.OA.3)
  • #2: Use place value understanding to round whole numbers to the nearest 10 or 100. (3.NBT.1)
  • #6: Use analog and digital clocks to tell and write time to the nearest minute, using AM and PM, and measure time intervals in minutes. (3MD.1)
Concepts and Skills

Concepts and Skills

Number:

  • Use place-value understanding to round whole numbers to the nearest 10

Whole Number Operations:

  • Subtract within 1000 fluently
  • Interpret multiplication in terms of equal group
  • Interpret division in terms of equal shares or equal groups.
  • Use multiplication and division to solve number stories

Measurement:

  • Tell and write time
  • Solve number stories involving time intervals
  • Measure and estimate masses of objects using grams and kilograms

Data:

  • Organize and represent data on scaled bar graphs and scaled picture graphs

 

Unit 2: Number Stories and Arrays

Power Standards

Power Standards

  • #1: Solve multiplication and division number and word problems within 100. (3.OA.3)
  • #3: Use fractions to represent part of a whole, location on a number line / ruler, and part of a set. (3NF.1-2)
Concepts and Skills

Concepts and Skills

Whole Number Operations:

  • Add within 1000
  • Subtract within 1000
  • Solve 2-step number stories involving two of the four operations
  • Interpret multiplication in terms of equal groups
  • Use multiplication and division to solve number stories
  • Interpret division in terms of equal shares or equal groups
  • Model number stories involving multiplication and division
  • Multiply within 1000 fluently

 

Unit 3: Operations

Power Standards

Power Standards

  • #1: Solve multiplication and division number and word problems within 100. (3.OA.3)
  • #2: Use place value understanding to round whole numbers to the nearest 10 or 100. (3.NBT.1)
Concepts and Skills

Concepts and Skills

Whole Number Operations:

  • Add and subtract within 1000 fluently
  • Know all square products of one-digit numbers automatically
  • Know all the products of one-digit numbers times 1, 2, 3, 10 automatically
  • Apply properties of operations to multiply and divide
  • Interpret multiplication in terms of equal groups.

Data:

  • Solve 1-step and 2-step problems using information in graphs

 

Unit 4: Measurement and Geometry

Power Standards

Power Standards

  • #7: Measure and record length to the nearest whole, 1/2 and 1/4 inch, and whole and 1/2 cm. (3MD.4)
  • #8: Solve real world and mathematical problems involving perimeters of polygons and areas of rectangles. (3.MD.8)
  • #9: Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category (e.g., parallelograms and trapezoids each have 4 sides (shared attribute) and are both quadrilaterals (larger category)). (3.G.1)
Concepts and Skills

Concepts and Skills

Measurement:

  • Measure lengths to the nearest half inch, quarter inch, or whole centimeter

Data:

  • Collect, organize and represent data on line plots

Geometry:

  • Understand that shapes in different categories may share attributes that can define a larger category
  • Recognize specified subcategories of quadrilaterals

Geometric Measurement:

  • Solve problems involving perimeters of polygons
  • Measure areas by counting unit squares
  • Understand that a unit square has 1 square unit of area and can measure area
  • Show that tiling a rectangle results in the same area as multiplying its side lengths
  • Exhibit rectangles with the same perimeter and different areas or the same area and different perimeters

 

Unit 5: Fractions and Multiplication Strategies

Power Standards

Power Standards

  • #1: Solve multiplication and division number and word problems within 100. (3.OA.3)
  • #3: Use fractions to represent part of a whole, location on a number line / ruler, and part of a set. (3NF.1-2)
  • #4: Recognize and generate simple equivalent fractions using models (e.g., pictures, number lines). (3NF.3a-b)
Concepts and Skills

Concepts and Skills

Fractions:

  • Understand, identify and represent unit fractions as one part when a whole is divided into equal parts
  • Understand that equivalent fractions are the same size

Whole Number Operations:

  • Apply properties of operations to multiply or divide
  • Multiply within 100 fluently.
  • Interpret multiplication in terms of equal groups
  • Identify arithmetic patterns and explain them using properties of operations
  • Understand division as unknown-factor problems
  • Use multiplication and division to solve number stories
  • Use area models to represent the distributive property

 

Unit 6: More Operations

Power Standards

Power Standards

  • #1: Solve multiplication and division number and word problems within 100. (3.OA.3)
  • #7: Measure and record length to the nearest whole, 1/2 and 1/4 inch, and whole and 1/2 cm. (3MD.4)
  • #8: Solve real world and mathematical problems involving perimeters of polygons and areas of rectangles. (3.MD.8)
  • #9: Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category (e.g., parallelograms and trapezoids each have 4 sides (shared attribute) and are both quadrilaterals (larger category)). (3.G.1)
Concepts and Skills

Concepts and Skills

Whole Number Operations:

  • Subtract with 1000 fluently
  • Multiply within 1000 fluently
  • Know all square products of 1-digit numbers automatically
  • Model number stories involving multiplication and division
  • Apply properties of operations to multiply or divide
  • Understand that grouping symbols affect the order in which operations are performed
  • Apply the order of operations when grouping symbols are not present
  • Model 2-step number stories with equations, using a letter or symbol for the unknown

 

Unit 7: Fractions

Power Standards

Power Standards

  • #1: Solve multiplication and division number and word problems within 100. (3.OA.3)
  • #3: Use fractions to represent part of a whole, location on a number line / ruler, and part of a set. (3NF.1-2)
  • #4: Recognize and generate simple equivalent fractions using models (e.g., pictures, number lines). (3NF.3a-b)
  • #5: Use symbols (>, <, =) to compare two fractions with the same numerator or the same denominator; use reasoning about their size and / or models to justify the conclusion. (3NF.3d)
  • #6: Use analog and digital clocks to tell and write time to the nearest minute, using AM and PM, and measure time intervals in minutes. (3MD.1)
Concepts and Skills

Concepts and Skills

Measurement:

  • Measure and estimate liquid volumes using liters and other units
  • Solve 1-step number stories involving volume

Fractions:

  • Partition shapes into parts with equal areas
  • Represent fractions on a number-line diagram
  • Record fraction comparisons using >, =, <
  • Recognize and generate simple, equivalent fractions
  • Represent fractions by sharing collections of objects into equal shares

 

Unit 8: Multiplication and Division

Power Standards

Power Standards

  • #1: Solve multiplication and division number and word problems within 100. (3.OA.3)
  • #3: Use fractions to represent part of a whole, location on a number line / ruler, and part of a set. (3NF.1-2)
  • #7: Measure and record length to the nearest whole, 1/2 and 1/4 inch, and whole and 1/2 cm. (3MD.4)
  • #8: Solve real world and mathematical problems involving perimeters of polygons and areas of rectangles. (3.MD.8)
Concepts and Skills

Concepts and Skills

Whole Number Operations:

  • Multiply 1-digit numbers by multiples of 10
  • Determine the unknown in multiplication and division equations
  • Model number stories involving multiplication and division
  • Understand division as an unknown-factor problem
  • Divide with 100 fluently

Measurement:

  • Measure lengths to the nearest 1/2 inch, 1/4 inch, or whole centimeter

Geometry:

  • Understand that shapes in different categories may share attributes that can define a larger category