Unit 3: Introducing Volume, and Finalizing Fluency with Multi-Digit Multiplication of Whole Numbers
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?
How does what I measure influence how I measure?
Students will be able to…
Estimate to determine reasonable solutions in real life situations.
Multiply three digit by two digit numbers using the standard algorithm.
Write equations representing multi-step problems involving the four operations with whole numbers.
Develop the formulas for volume of a rectangular prism by using concrete objects such as unit cubes and pictorial models; including V = l x w x h; V = s x s x s (for a cube); V = Bh.
Show how concrete and pictorial models relate to the formulas for the volume of the rectangular prism, including the cube.
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.
Computational Fluency TEKS: 10 - 15 minutes every day
Spiral Review TEKS: Problem Solving every day
Unit Vocabulary Terms
area
base
cube
cubic unit
factor
formula
height
layer (number of unit cubes in the base of a rectangular prism)
length
multiply (multiplication)
product
rectangular prism
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?
How does what I measure influence how I measure?
Students will be able to…
Estimate to determine reasonable solutions in real life situations.
Multiply three digit by two digit numbers using the standard algorithm.
Write equations representing multi-step problems involving the four operations with whole numbers.
Develop the formulas for volume of a rectangular prism by using concrete objects such as unit cubes and pictorial models; including V = l x w x h; V = s x s x s (for a cube); V = Bh.
Show how concrete and pictorial models relate to the formulas for the volume of the rectangular prism, including the cube.
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.
Computational Fluency TEKS: 10 - 15 minutes every day
- 5.3K add and subtract positive rational numbers fluently; [whole numbers and decimals to the hundredths place in this unit]
- 4.4A add and subtract whole numbers and decimals to the hundredths place using the standard algorithm;
- 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
- 5.2B compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =;
- 5.2A represent the value of the digit in decimals through the thousandths using expanded notation and numerals;
- 5.2C round decimals to tenths or hundredths.
Unit Vocabulary Terms
area
base
cube
cubic unit
factor
formula
height
layer (number of unit cubes in the base of a rectangular prism)
length
multiply (multiplication)
product
rectangular prism
side (of a cube)
unit cube
volume
width