Unit 2: Extending Decimal/Fraction Understanding to Thousandths
Essential Questions
How do I use place value to read, write, and compare numbers?
What can we learn about numbers by comparing them?
Students will be able to…
Use expanded notation to represent numbers through the thousandths (fraction and decimal place value representation).
Compare and order two decimal numbers to the thousandths using comparison symbols.
Round decimals to tenths and/or hundredths in problem solving situations.
Solve one step and multi-step problems involving addition and subtraction of whole numbers and decimals to the thousandths.
Computational Fluency TEKS: 10 - 15 minutes every day
Spiral Review TEKS: Problem Solving every day
Unit Vocabulary Terms
decimal
decimal fraction
decimal point
digit
equivalent
compare
greatest
hundredth(s)
is greater than (>)
is less than (<)
least
number line
order
place value
position
round (a number)
tenth(s)
thousandth(s)
Essential Questions
How do I use place value to read, write, and compare numbers?
What can we learn about numbers by comparing them?
Students will be able to…
Use expanded notation to represent numbers through the thousandths (fraction and decimal place value representation).
Compare and order two decimal numbers to the thousandths using comparison symbols.
Round decimals to tenths and/or hundredths in problem solving situations.
Solve one step and multi-step problems involving addition and subtraction of whole numbers and decimals to the thousandths.
Computational Fluency TEKS: 10 - 15 minutes every day
- 5.4A identify prime and composite numbers;.
- 5.4F simplify numerical expressions that do not involve exponents, including up to two levels of grouping.
- 4.4A add and subtract whole numbers place using the standard algorithm.
- 4.4D use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties.
- 4.4F use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor.
- 4.4G round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers;
Spiral Review TEKS: Problem Solving every day
- 4.2G relate decimals to fractions that name tenths and hundredths.
- 4.3D compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <
- 4.3C determine if two given fractions are equivalent using a variety of methods.
- 4.3G represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.
- 4.3E represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations.
- 4.3A represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b > 0, including when a > b.
- 4.3B decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations.
- 4.3F evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole.
- 4.3G represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.
Unit Vocabulary Terms
decimal
decimal fraction
decimal point
digit
equivalent
compare
greatest
hundredth(s)
is greater than (>)
is less than (<)
least
number line
order
place value
position
round (a number)
tenth(s)
thousandth(s)