Download 6th Grade Standard Reference Code Sixth Grade Purpose Students

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Transcript
6th Grade Standard Reference Code
RP
NS
EE
G
SP
Ratios & Proportional Relationships
The Number System
Expressions & Equations
Geometry
Statistics & Probability
STANDARD
REFERENCE
Sixth Grade Purpose
Components
Unit Outcome
MA.6.1
MA.6.1.1
MA.6.1.2
MA.6.1.3
Unit Outcome MA.6.2
MA.6.2.1
c
MA.6.2.2
MA.6.2.3
MA.6.2.4
Components
Unit Outcome
MA.6.3
MA.6.3.1
MA.6.3.2
Students will apply rational numbers to: compute area, surface area and
volume of geometric figures; evaluate, write and solve algebraic
expressions, equations and inequalities; locate, graph and solve problems
on the coordinate plane; and apply ratio reasoning and proportions to solve
problems.
Students will compute with fractions and multi digit numbers including
all 4 operations with fractions.
Interpret and compute quotients of fractions, and solve word problems
involving division of fractions by fractions, e.g., by using visual fraction
models and equations to represent the problem
Fluently divide multi-digit numbers using the standard algorithm
Fluently add, subtract, multiply, and divide multi-digit decimals using
the standard algorithm for each operation
Students will use ratio concepts and use ratio reasoning to solve
problems.
Use ratio language to describe a ratio relationship between two
quantities
Find the unit rate a/b from a given situation where b does not equal
zero
Make tables of equivalent ratios relating quantities with wholenumber measurements, find missing values in the tables, and plot the
pairs of values on the coordinate plane. Use tables to compare ratios
Solve unit rate problems including those involving unit pricing and
constant speed
Students will apply and extend previous understandings of numbers to
the system of rational numbers.
Use the concepts of positive and negative numbers to describe
quantities having opposite directions or values (e.g., temperature
above/below zero, elevation above/below sea level, credits/debits,
positive/negative electric charge); use positive and negative numbers
to represent quantities in real-world contexts, explaining the meaning
of 0 in each situation
Graph a rational number as a point on the number line. Extend
number line diagrams and coordinate axes familiar from previous
grades to represent points on the line and in the plane with negative
number coordinates
6.NS.A.1
6.NS.B.2
6.NS.B.3
6.RP.A.1
6.RP.A.2
6.RP.A.3a
6.RP.A.3b
6.NS.C.5
6.NS.C.6
MA.6.3.3
MA.6.3.4
Unit Outcome MA.6.4
Components
MA.6.4.1
MA.6.4.2
MA.6.4.3
MA.6.4.4
Unit Outcome MA.6.5
MA.6.5.1
Components
MA.6.5.2
MA.6.5.3
MA.6.5.4
MA.6.5.5
Plot ordered pairs on the coordinate plane and Solve real-world and
mathematical problems by graphing points in all four quadrants of the
coordinate plane. Include use of coordinates and absolute value to find
distances between points with the same first coordinate or the same
second coordinate.
Compare (using inequalities) and order rational numbers including
questions about absolute value.
Students will write, evaluate, and manipulate mathematical
expressions.
Write and evaluate numerical expressions involving whole-number
exponents.
Write, read, and evaluate expressions in which letters stand for
numbers.
Apply the properties of operations to generate equivalent expressions.
Identify when two expressions are equivalent (i.e., when the two
expressions name the same number regardless of which value is
substituted into them).
Students will solve one variable equations and inequalities.
Solve an equation or inequality by answering the question: which
values from a specified set, if any, make the equation or inequality
true? Use substitution to determine whether a given number in a
specified set makes an equation or inequality true.
Use variables to represent unknown numbers and write expressions
when solving a real-world or mathematical problem.
Solve real-world and mathematical problems by writing and solving
equations of the form x + p = q and px = q for cases in which p, q and x
are all nonnegative rational numbers.
Write an inequality of the form x > c or x < c to represent a constraint
or condition in a real-world or mathematical problem. Recognize that
inequalities of the form x > c or x < c have infinitely many solutions;
represent solutions of such inequalities on number line diagrams.
Represent and analyze quantitative relationships between dependent
and independent variables.
6.NS.C.8
6.NS.C.7
6.EE.A.1
6.EE.A.2
6.EE.A.3
6.EE.A.4
6.EE.B.5
6.EE.B.6
6.EE.B.7
6.EE.B.8
6.EE.C
Unit Outcome
MA.6.6
MA.6.6.1
Components
MA.6.6.2
MA.6.6.3
MA.6.6.4
Components
Unit Outcome MA.6.7
MA.6.7.1
MA.6.7.2
MA.6.7.3
MA.6.7.4
Students will solve real world and mathematical problems including
area, surface area, and volume.
Find the area of right triangles, other triangles, special quadrilaterals,
and polygons by composing into rectangles or decomposing into
triangles and other shapes; apply these techniques in the context of
solving real-world and mathematical problems.
Apply the formulas V = l w h and V = b h to find volumes of right
rectangular prisms with fractional edge lengths in the context of solving
real-world and mathematical problems.
Draw polygons in the coordinate plane given coordinates for the
vertices; use coordinates to find the length of a side joining points with
the same first coordinate or the same second coordinate. Apply these
techniques in the context of solving real-world and mathematical
problems.
Represent three-dimensional figures using nets made up of rectangles
and triangles, and use the nets to find the surface area of these figures.
Apply these techniques in the context of solving real-world and
mathematical problems.
Students will use statistical variability and distributions to summarize
data.
Identify random, representative, and biased samples
Describe the distribution of a set of data by its center, spread, and
overall shape
Display numerical data in plots on a number line, including dot plots,
histograms, and box plots
Summarize numerical data sets in relation to their context
6.G.A.1
6.G.A.2
6.G.A.3
6.G.A.4
6.SP.A.1
6.SP.A.2
6.SP.B.4
6.SP.B.5