Math Resources

Grade 4, Unit 1 - Place Value and Operations
In our first math unit of the year, students will build upon their knowledge of numbers and place value and extend that knowledge to the set of whole numbers through the millions. Students will then use this foundation in place value to round numbers to the nearest benchmark, to add and subtract whole numbers, and to apply a variety of estimation strategies to solve real world problems.

In the second part of the unit, students will build upon their knowledge of numbers and place value to assist them in multiplying and dividing numbers into equal groups, as well as working with math problems that include remainders. Students will learn through hands-on experiences that help them to connect the abstract algorithms to real world situations, making the word problems more applicable.

Understandings, Skills and Guiding Questions
Students will understand that...
  • Mathematicians formulate, represent, and use algorithms to compute with flexibility, accuracy and efficiency.
  • Number patterns and relationships help us solve problems.
  • Thinking mathematically involves visualizing, explaining and defending solutions.

Guiding questions:
  • How do number patterns and relationships help us solve problems?
  • What strategies are helpful in solving problems and defending solutions?
  • How does developing a solid number sense help you understand math better?

Students will be skilled at….
  • reading, writing and comparing multi-digit whole numbers up to one billion
  • using place value understanding to round multi-digit whole numbers
  • applying concepts of square numbers, prime numbers, composite numbers, multiples and factors to solve problems
  • adding and subtracting multi-digit numbers
  • using a symbol to represent an unknown in a problem situation
  • illustrating and explaining multiplication and division problems using equations, rectangular arrays and/or area models
  • using the four operations of whole numbers (addition, subtraction, multiplication, division) to solve problems

Real Life Application
  • Knowledge and use of place value for large numbers provides context for data analysis (i.e. population, distance between cities or landmarks, attendance at events, etc.).
  • Knowledge of multiplication is the basis for understanding division, fractions, measurement, and algebra.
  • Symbols help to represent situations from everyday life with simple equations (i.e. determining how much additional money is needed to buy an item or the number of players missing from a sports team, etc.).

How can I help at home?
Look for ways to link math to everyday life!!
Vocabulary
addition
addend
algorithm
array
compare
composite number
decompose
digit
difference
division
dividend
divisor
equation
estimate
expanded form
factor
multiple
multiplication
pattern
place value
prime number
product
quotient
rounding
standard form
subtraction
sum
variable
whole numbers
word form

Place Value Links for students to practice:

Addition/Subtraction Links for students to practice:

Multiplication/Division Links for students to practice:


Links to build background knowledge:

Other ways to incorporate Math at home:
Array Search Look for items around your house or at the grocery store that are packaged or arranged in rectangular arrays: tiles on the floor, eggs in a carton, window panes, a six-pack of juice cans, and so on. Talk with your child about the dimensions (number of rows and columns), and discuss ways to figure out the total number of items.

Arranging Chairs Suppose that you have 40 chairs. You want to arrange them into straight rows for an audience to watch a play. You need to arrange the chairs so that there will be the same number in every row. How many different ways could you do this? (What if you start with 50 chairs? 75? 72? 71?)

Modeling Multiplication Situations Encourage your child to help you solve multiplication situations that come up in your daily activities. While you shop, you might ask: How many juice boxes will we have if they come in packages of 3 and we buy 6 packages? At the park, you might ask: If there are 8 soccer teams in the league and each team has 11 players, how many kids play soccer?

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