In this unit...
Students will understand that...
Our number system is based on patterns of ten.
There are many ways to represent a quantity, but the best way is based on the problem in front of you.
There are multiple strategies and methods for finding a mathematical solution.
The relationship among operations and their properties increases their flexibility as mathematicians.
The context and numbers determine the strategies used to make estimations.
Students will keep considering the following questions:
How is our number system organized?
What is the best way to represent this number?
What strategy am I using to solve the problem? Does it work? Is there another way to solve it?
How do I know what operation to use to solve a problem?
How do mathematical operations relate to each other?
How do I know when I need an exact answer or an estimate?
Students will work on the following skills/concepts:
the location (place) of a digit in a number determines its value.
a number line represents the distance of a number from zero.
real world problems involving joining, separating, part-part-whole, or comparison can be solved using addition or subtraction.
a variety of strategies for finding sums and differences based upon place value and properties of operations.
addition and subtraction are related operations.
Students will be skilled at:
representing the value of a digit in whole numbers in standard, word, and expanded notation
describing place value relationships, including interpreting the value of each place value position as ten times the position to the right
representing whole numbers to 100,000 with objects and pictorial models.
decomposing and composing numbers up to 100,000 in more than one way.
comparing and ordering a set of whole numbers to 100,000
representing comparisons using >, <, or =.
locating and naming whole numbers as points on a number line.
determining the value of a collection of coins and bills.
rounding whole numbers to a given place value (10 or 100.)
estimating sums and differences using rounding or compatible numbers.
using manipulatives, pictorial models, and equations to represent and solve multi-step addition and subtraction problems.
using strategies based on place value, properties of operations and relationship between addition and subtraction
Critical Vocabulary
Ten thousands
hundred thousands
compatible numbers
round
estimate
approximate
period
expanded notation
Unit 1 Test - October 6th
Topic 1
Topic 2 & 3