Quarter 1 Quarter 2 Quarter 3 Quarter 4 Unit 1 Whole Numbers Unit 2 Operations Unit 3  Multi-Digit Operations and Measurement Unit 4 Fractions, Decimals, and Measurement Unit 5 Geometry and Measurement

Unit Themes

What are the math expectations of fourth grade students?

Operations and Algebraic Thinking

• Solves multi-step word problems involving addition, subtraction, multiplication, and division of whole numbers

• Develops and uses accurate, efficient methods to multiply multi-digit whole numbers

• Gains familiarity with factors and multiples

• Generates and analyze patterns that follow a given rule

Numbers and Operation in Base Ten

• Generalizes place value understanding for multi-digit whole numbers

• Uses place value understanding and properties of operations to perform multi-digit addition and subtraction

• Multiplies and divides multi-digit numbers by one-digit numbers using strategies based on place value, properties of operations, and models.

• Understands models for multi-digit multiplication, place value, and properties of operations (commutative, associative, and distributive)

Numbers and Operations -- Fractions

• Extends understanding of equivalent fractions and ordering fractions

• Uses models and equations to solve problems involving addition and subtraction of fractions  including improper fractions and mixed numbers

• Uses models and equations to solve problems involving multiplication of a fraction by a whole  number

• Understands decimal notation for fractions

• Determines decimal equivalents or approximations of common fractions

Measurement and Data

• Solves problems involving measurement and conversion of measurements

• Solves word problems involving distances, intervals of time, liquid volumes, masses of objects, and money.

• Applies the area and perimeter formulas for rectangles to solve real world problems

• Represent and interpret data on line plots

• Understands concepts of angles and measures angles

Geometry

• Draws and identifies different types lines and angles

• Classifies two-dimensional shapes based on properties of their lines and angles

• Recognizes and draws lines of symmetry for two-dimensional shapes

Standards for Mathematical Practice

The eight standards for mathematical practice describe the “know-how” or habits of mind that we seek to develop in students. These practices define important methods and skills that students need to be mathematically proficient.

1. Make sense of problems and persevere in solving them.

Students are able to “stick with” problems and will try multiple methods to reach a solution.

2. Reason abstractly and quantitatively.

Students understand that written numerals represent real world objects and quantities.

3. Construct viable arguments and critique the reasoning  of others.

Students are able to explain their own mathematical ideas and strategies and they respond to the thinking of others.

4. Model with mathematics.

Students represent problem situations in multiple ways including equations, mathematical words, labeled sketches, objects, making a chart, list, or graph.

5. Use appropriate tools strategically.

Students select the appropriate tools and resources to solve a problem.

6. Attend to precision.

Students use detailed and accurate mathematical vocabulary to  communicate mathematical understandings.

7. Look for and make use of structures.

Students notice attributes and structures in mathematics such as: sorts shapes by the number of sides or recognizes that 4 x 7 = 28  and 28 ÷ 7 = 4.

8. Look for and express regularity in repeated reasoning.

Students notice repetitive actions in computation and look for patterns that support computation: 12 x 5 is the same as 10 x 5 and 2 x 5 to arrive at 60.