Unit 5: Applying Volume to Extend Whole Number Division Strategies to 2-Digit Divisors
Essential Questions
How do I decide which operation or operations are needed to solve problems?
How do I decide which strategy to use when making calculations?
How can I verify that an answer is reasonable?
How can I use numbers and symbols to represent real-life situations?
How can I use number sentences to solve problems?
Students will be able to...
Translate a problem situation involving volume of a rectangular prism, including the cube, into an equation representing one of the volume formulas, where the unknown may be any of the variables in the formula.
Solve problems involving the volume of a rectangular prism, including the cube.
Estimate to determine reasonable solutions in real life situations.
Multiply three-digit numbers by two-digit numbers using the standard algorithm.
Write equations representing multi-step problems involving the four operations with whole numbers.
Use division to determine missing length measurements of a rectangular prism when given volume and some measures.
Use various strategies and algorithms including the standard algorithm to divide up to four-digit dividends by two-digit divisors.
Computational Fluency TEKS: 10 - 15 minutes every day
Spiral Review TEKS: Problem Solving every day
Unit Vocabulary Terms
area
base
compose (and decompose) a number
cube
cubic unit
digit
dividend
divisor
equation
formula
height
layer (number of unit cubes in the base of a rectangular prism)
length
quotient
rectangular prism
remainder
side (of a cube)
unit cube
volume
width
Essential Questions
How do I decide which operation or operations are needed to solve problems?
How do I decide which strategy to use when making calculations?
How can I verify that an answer is reasonable?
How can I use numbers and symbols to represent real-life situations?
How can I use number sentences to solve problems?
Students will be able to...
Translate a problem situation involving volume of a rectangular prism, including the cube, into an equation representing one of the volume formulas, where the unknown may be any of the variables in the formula.
Solve problems involving the volume of a rectangular prism, including the cube.
Estimate to determine reasonable solutions in real life situations.
Multiply three-digit numbers by two-digit numbers using the standard algorithm.
Write equations representing multi-step problems involving the four operations with whole numbers.
Use division to determine missing length measurements of a rectangular prism when given volume and some measures.
Use various strategies and algorithms including the standard algorithm to divide up to four-digit dividends by two-digit divisors.
Computational Fluency TEKS: 10 - 15 minutes every day
- 5.3B multiply with fluency a three-digit number by a two-digit number using the standard algorithm;
- 5.3K add and subtract positive rational numbers fluently; [whole numbers and decimals to the thousandths place in this unit]
- 5.4A identify prime and composite numbers;
- 5.4F simplify numerical expressions that do not involve exponents, including up to two levels of grouping;
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
area
base
compose (and decompose) a number
cube
cubic unit
digit
dividend
divisor
equation
formula
height
layer (number of unit cubes in the base of a rectangular prism)
length
quotient
rectangular prism
remainder
side (of a cube)
unit cube
volume
width