Unit 8: Introducing the Coordinate Plane, Additive and Multiplicative Patterns and Scatterplots
Essential Questions
How can we learn about patterns by representing them in different ways?
How can points plotted on a coordinate plane help us solve problems?
What kinds of questions can we answer by analyzing data?
How can we share data with others in meaningful ways?
Students will be able to…
Generate number patterns when given a rule in the form of y = ax or y = x+ a.
Generate a graph when given a rule for a pattern; plot first quadrant coordinates from a given or calculated numerical relationship, table of values, or equation.
Recognize additive numerical patterns in equations, tables, and graphs.
Recognize multiplicative numerical patterns in equations, tables, and graphs.
Graph ordered pairs of non-negative decimal numbers on the coordinate plane (quadrant I).
Describe the attributes associated with the coordinate plane (origin, axis, ordered pair) and explain explicitly how to plot a point on the grid.
Represent discrete paired data on a scatterplot.
Solve one- and two-step problems using data from a scatterplot.
Computational Fluency TEKS: 10 - 15 minutes every day
Spiral Review TEKS: Problem Solving every day
Unit Vocabulary Terms
attribute
axis
coordinate
coordinate grid
coordinate plane
equation
expression
data
dividend
divisor
graph
input/output table
ordered pair
origin
parallel
perpendicular number lines
point
product
quadrant
quotient
scatterplot
unknown quantity
x-axis (plural axes)
x-coordinate
y-axis (plural axes)
y-coordinate
Essential Questions
How can we learn about patterns by representing them in different ways?
How can points plotted on a coordinate plane help us solve problems?
What kinds of questions can we answer by analyzing data?
How can we share data with others in meaningful ways?
Students will be able to…
Generate number patterns when given a rule in the form of y = ax or y = x+ a.
Generate a graph when given a rule for a pattern; plot first quadrant coordinates from a given or calculated numerical relationship, table of values, or equation.
Recognize additive numerical patterns in equations, tables, and graphs.
Recognize multiplicative numerical patterns in equations, tables, and graphs.
Graph ordered pairs of non-negative decimal numbers on the coordinate plane (quadrant I).
Describe the attributes associated with the coordinate plane (origin, axis, ordered pair) and explain explicitly how to plot a point on the grid.
Represent discrete paired data on a scatterplot.
Solve one- and two-step problems using data from a scatterplot.
Computational Fluency TEKS: 10 - 15 minutes every day
- 5.2B compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =;
- 5.3B multiply with fluency a three-digit number by a two-digit number using the standard algorithm;
- 5.3C solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm;
- 5.3K add and subtract positive rational numbers fluently;
- 5.4F simplify numerical expressions that do not involve exponents, including up to two levels of grouping;
Spiral Review TEKS: Problem Solving every day
- 5.3I 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;
- 5.3A estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division;
- 5.3L divide whole numbers by unit fractions and unit fractions by whole numbers.
- 5.3J represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 ÷ 7 and 7 ÷ 1/3 using objects and pictorial models, including area models;
- 5.3A estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division;
Unit Vocabulary Terms
attribute
axis
coordinate
coordinate grid
coordinate plane
equation
expression
data
dividend
divisor
graph
input/output table
ordered pair
origin
parallel
perpendicular number lines
point
product
quadrant
quotient
scatterplot
unknown quantity
x-axis (plural axes)
x-coordinate
y-axis (plural axes)
y-coordinate