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.