# Grade Three

**Grade Three Mathematics Program**

Your child will be using Pearson EnVision Math this year. The resources fully support the Massachusetts Mathematics Curriculum Frameworks.

Pearson has a website, www.pearsonsuccessnet.com, which can be accessed for additional information about these materials. Each student will receive a username and password and will have full access to their grade level math book and all program materials online. Teachers are able to assign homework and review sheets through this website. For technological assistance, you can reach the Pearson Tech Help Line at 1-800-234-5832 or contact them through the website above.

EnVision Math is a math program that balances skill instruction with instruction that develops conceptual understanding through problem-based interactive and visual learning. This research-based program is aligned with Massachusetts Mathematics Curriculum Frameworks.

The program’s philosophy has 3 key focal points:

- Conceptual Development- Interactive Learning + Visual Learning
- Ongoing Assessment, Diagnosis, and Intervention
- Differentiated Instruction

Topics are organized around math strands focusing on the Big Ideas and Essential Understandings of math. The Big Ideas are the conceptual underpinnings of the program and the glue that provides conceptual cohesion across lessons, topics, grades, and standards. Big Ideas connect Essential Understandings which occur within and across lessons.

The Massachusetts Math Curriculum Frameworks are divided into content and practice standards. The content standards outline the math concepts students should know by the end of the year. The practice standards are the mathematical habits of mind that students will develop as they go through the grades.

**Units of Study**

The following is a list of topics which provide a quick synopsis of concepts to be explored this year. As you begin to see your student’s work as it arrives home, and as it is shared when you visit the classroom, you will have a better understanding of the depth and quality of the concepts your child will be learning.

- Numeration
- Number Sense: Addition and Subtraction
- Using Place Value to Add and Subtract
- Meanings of Multiplication
- Multiplication Facts: Use Patterns
- Multiplication Facts: Use Known Facts
- Meanings of Division
- Division Facts
- Understanding Fractions
- Fraction Comparison and Equivalence
- Two-Dimensional Shapes and Their Attributes
- Time
- Perimeter
- Area
- Liquid Volume and Mass
- Data

**Kid and Parent Friendly Content Standards for Mathematics**

*I Can Use Multiplication and Division to Help Me Understand Math*

- I can understand multiplication by thinking about groups of objects.
- I can understand division by thinking about how one group can be divided into smaller groups.
- I can use what I know about multiplication and division to solve word problems.
- I can find the missing number in a multiplication or division equation.
- I can use the Commutative property of multiplication. (I know that if 6 x 4 = 24, then 4 x 6 = 24.)
- I can use the Associative property of multiplication. (To figure out 3 x 5 x 2 I can multiply 3x 5 = 15, then 15 x 2 = 30 OR multiply 5 x 2 = 10, then 3 x 10 = 30.)
- I can use the Distributive property of multiplication. (To figure out 8 x 7, I can think of 8 x (5 + 2) which means (8 x 5) + (8 x 2) = 40 + 16 = 56.)
- I can find the answer to a division problem by thinking of the missing factor in a multiplication problem. (I can figure out 32 8 because I know that 8 x 4 = 32.)
- I can multiply and divide within 100 easily and quickly because I know how multiplication and division are related.
- I can use addition, subtraction, multiplication and division to solve all kinds of word problems and then use mental math to decide if my answers are reasonable.
- I can find patterns in addition and multiplication tables and explain them using what I know about how numbers work.

*I Can Use Number Sense and Place Value to Help Me Understand Math*

- I can round numbers to the nearest ten or 100.
- I can add and subtract numbers within 1000.
- I can quickly and easily multiply any one digit whole number by 10.

*I Can Use Fractions to Help Me Understand Math*

- I can show and understand that fractions are equal parts of a whole.
- I can label fractions on a number line because I know the space between any two numbers can be thought of as a whole.
- I can explain in words or pictures how two fractions can sometimes be equal.
- I can compare fractions by reasoning about their size.
- I can show whole numbers as fractions. (3 = 3/1)
- I can recognize fractions that are equal to one whole. (1 = 4/4)

*I Can Use Measurement and Data to Help Me Understand Math*

- I can tell and write time to the nearest minute.
- I can measure time in minutes.
- I can solve telling time word problems by adding and subtracting minutes.
- I can measure liquids and solids with liters, grams and kilograms.
- I can use addition, subtraction, multiplication and division to solve word problems involving mass and volume.
- I can create a picture or bar graph to show data and solve problems using the information from the graphs.
- I can create a line plot from measurement data, where the measured objects have been measured to the nearest whole number, half or quarter.
- I can understand that the area of plane shapes can be measured in square units.
- I can measure areas by counting unit squares.
- I can measure area by using what I know about multiplication and addition.
- I can solve real world math problems using what I know about the perimeter of shapes.

*I Can Use Geometry to Help Me Understand Math*

- I can place shapes into categories depending upon their attributes.
- I can recognize and draw quadrilaterals such as rhombuses, rectangles and squares, as well as other examples of quadrilaterals.
- I can divide shapes into parts with equal areas and show those areas as fractions.