Unit 9: Connecting Whole Number Multiplication and Division Concepts to Decimals
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?
Students will be able to…
use objects and pictorial models including area models to represent multiplication of decimals with products to the hundredths.
use strategies based on place value understandings, properties of operations, and the relationship to multiplication of whole numbers to solve for products to the hundredths.
use estimation to understand decimal placement in solution.
use objects and pictorial models, including area models, to represent quotients of decimals to the hundredths.
use various strategies and algorithms including the standard algorithm to divide up to four digit whole number or decimal dividends and two digit whole number divisors.
Computational Fluency TEKS: 10 - 15 minutes every day
Spiral Review TEKS: Problem Solving every day
Unit Vocabulary Terms
algorithm
area model
decimal
dividend
division
divisor
hundredths
multiplication
pictorial model
place value
product
quotient
relationship
standard algorithm (division)
strategy
tenths
whole number
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?
Students will be able to…
use objects and pictorial models including area models to represent multiplication of decimals with products to the hundredths.
use strategies based on place value understandings, properties of operations, and the relationship to multiplication of whole numbers to solve for products to the hundredths.
use estimation to understand decimal placement in solution.
use objects and pictorial models, including area models, to represent quotients of decimals to the hundredths.
use various strategies and algorithms including the standard algorithm to divide up to four digit whole number or decimal dividends and two digit whole number divisors.
Computational Fluency TEKS: 10 - 15 minutes every day
- 5.3I represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models;
- 5.3K add and subtract positive rational numbers fluently;
- 5.3L divide whole numbers by unit fractions and unit fractions by whole numbers.
- 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
- 4.6D classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size.
- 4.6A identify points, lines, line segments, rays, angles, and perpendicular and parallel lines;
- 4.6B identify and draw one or more lines of symmetry, if they exist, for a two-dimensional figure;
- 4.6C apply knowledge of right angles to identify acute, right, and obtuse triangles;
- 5.4C generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph;
- 5.4D recognize the difference between additive and multiplicative numerical patterns given in a table or graph;
- 5.8C graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.
- 5.8A describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin;
- 5.8B describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane;
- 5.9C solve one- and two-step problems using data from a scatterplot
- 5.9B represent discrete paired data on a scatterplot;
Unit Vocabulary Terms
algorithm
area model
decimal
dividend
division
divisor
hundredths
multiplication
pictorial model
place value
product
quotient
relationship
standard algorithm (division)
strategy
tenths
whole number