Unit 1 Place Value, Addition, & Subtraction
Essential Questions
EQ1 What patterns do I see in number systems?
EQ2 What is the best way to represent this number?
EQ3 How are these numbers related?
EQ4 How do I know when I need an exact answer or an estimate?
Students will independently use their learning to…
Use their number sense to be fluent in their understanding of numbers, relationships, and how they are used in everyday life.
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.
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 know…
the names of the place values.
rational numbers can be represented as a decimal.
rational numbers allow us to solve problems that are not possible to solve with just whole numbers.
our number system is based on groups of 10.
place value can be used to compare and order numbers.
the location (place) of a digit in a number determines its value.
numbers can be rounded to approximate their value.
a number line represents the distance of a number from zero.
decimal numeration is just an extension of whole number place value.
points on a number line can represent whole numbers, decimals, and fractions.
points on a number line represents a distance from 0.
Students will be skilled at…
representing the value of a digit in whole numbers and decimals using standard, word, and expanded notation.
relating decimals to fractions.
representing decimals including tenths and hundredths using base-ten blocks and money.
comparing and ordering a set of whole numbers using symbols.
comparing and ordering decimals with models and money.
locating and naming whole numbers and decimals as points on a number line.
rounding whole numbers to a given place value or use compatible numbers to estimate.
representing a rational number as a fraction and a decimal. (tenths and hundredths)
describing the relationship between place values (a place is ten times bigger; ten times smaller).
applying the mathematical process standards.