Download 6th Grade Pathway #3- Pre-Algebra Pacing Guide 2016-2017

6th Grade Pathway #3- Pre-Algebra Pacing Guide 2016-2017
4.0 Target
3.0 Target
2.0 Target
Pacing & Unit Dates
Unit 1: Introduction to Rational Numbers
Define absolute value and interpret the
Order a list of absolute values requiring 6.NS.7 - Order a list of absolute values of absolute value of rational numbers in
computations of rational numbers.
rational numbers.
real-world situations.
Find the distance between points from a
reflected shape.
6.NS.8 - Determine distances on the
coordinate plane.
Graph an ordered pair on the
coordinate plane
Solve for missing values in a problem
involving addition and subtraction of
rational numbers.
7.NS.1 - Add and subtract rational
numbers
Add and subtract positive and negative
integers.
Solve for missing values in a problem
involving multiplication and division of
rational numbers.
7.NS.2 - Multiply and divide rational
numbers.
Multiply and divide positive and
negative integers.
35 days
Unit Dates:
August 19 - October 7
Benchmark Dates:
October 4 - October 7
Trimester #1
Explain how changing the base or
exponent changes the outcome. (Quiz 6.EE.1 - Evaluate numerical expressions Evaluate whole number expressions
1: 2^5 vs 5^2; Quiz 2: (1/2)^17 vs
using order of operations, including
using order of operations, including
(1/2)^18; Quiz 3: (0.432)^20 vs
whole number exponents.
exponents and rational numbers.
(0.432)^21)
Unit 2: Ratios and Proportions
Use ratio relationships to solve more
complex problems.
7.RP.2 - Use a ratio table or graph in a
real-world context to write the equation
that describes the line.
Interpret the relationship shown by a
given point on a graph.
Use proportional reasoning to evaluate
more complex problems.
7.RP.1/3 - Use real-world proportional
relationships to solve problems with
rational numbers, including those with
unit rates.
Use real-world proportional
relationships to solve problems.
Apply percents to complex problems.
6.RP.3c - Solve an applied percent
problem.
Apply ratios and unit rate reasoning to
solve real-world problems with
percents.
Solve for missing values in a
problem involving two equivalent
expressions.
6.EE.3/7.EE.1 - Apply properties of
operations to generate equivalent
expressions, including those with
rational numbers.
Apply properties of operations to
generate equivalent expressions with
integers.
Solve for a missing value in an
expression in which letters stand for
numbers.
6.EE.2 - Write expressions in which
letters stand for numbers.
Evaluate expressions in which letters
stand for numbers. (Substitution)
20 days
Unit Dates:
October 13 - November 18
Benchmark Dates:
November 11 - November 18
Trimester #2
Unit 3: Expressions
14 days
Unit Dates:
November 28 - December 16
Benchmark Dates:
Nov. 5 - Nov. 12
Trimester #2
Unit 4: Equations
Describe the relationship between
6.EE.9 - Compare tables, graphs, or
Graph an absolute value equation with
dependent and independent variables
equations,
given
real
life
problems,
and
two variables.
as displayed in graphs or tables.
make judgments.
7.EE.4.a - Solve a real life problem which
first requires writing a multi-step
Solve an equation where the variable is
in the denominator of a fraction.
equation, with multiple unknowns, with
variables on both sides of the equal sign.
Solve a compound inequality.
Unit 5: Geometry
7.EE.4.b - Solve a two-step inequality,
including those in a real-world context.
Solve multi-step equations with
variables on both sides of the equal
sign.
Write an inequality of the form x>c or
x<c to represent a constraint in realworld context using <, >, ≤, ≥.
30 days
Unit Dates:
January 3 - February 14
Benchmark Dates:
February 7 - February 14
Trimester #2
Solve a complex problem requiring
multi-step algebraic equations.
Use angle relationships (ie.
7.G.5/8.G.5 - Solve multi-step
supplementary, complementary,
mathematical problems involving angle
adjacent, and vertical angles, and
measures requiring multi-step algebraic
angle sum and exterior angle of
equations and rational numbers.
triangles) to solve for missing values.
Solve a complex problem using
Pythagorean Theorem.
8.G.7 - Apply the Pythagorean Theorem
Apply the Pythagorean Theorem to
to determine unknown side lengths in
determine unknown side lengths in
right triangles in real-life problems in 3 right
triangles in real-life problems in 2
dimensions, including sides that have dimensions, including sides that have
lengths that are rational numbers. (Ex.
lengths that are rational numbers.
find slant height of a pyramid or cone)
8.G.8 - Apply the Pythagorean Theorem
Apply the Pythagorean Theorem to find
the distance between a point and a line. to find the distance between two points
in a coordinate system.
Create a right triangle using 2 points
on a coordinate plane.
7.G.4 - Calculate the area given the
Calculate the volume of threeFind the circumference of a circle base circumference of a circle and vice versa, dimensional shapes in a real-world
given the volume of a cylinder.
including problems with Pythagorean context, including those with fractional
sides.
Theorem.
6.G.4 - Find the surface area of threeCalculate the volume of threeUse composition and/or decomposition
dimensional shapes in real-world
dimensional shapes in a real-world
to find the surface area of combined
contexts, including those with fractional context, including those with fractional
three-dimensional shapes.
sides.
sides.
Solve complex problems involving the 7.G.6 - Calculate the volume of a threeCalculate the volume of threevolume of three-dimensional shapes. dimensional shape with a piece missing, dimensional
shapes in a real-world
(Including compound shapes and unit
those with fractional
conversions. Ex. sandbox filled with an including problems with Pythagorean context, including
sides.
Theorem and fractional sides.
unknown number of bags of sand)
Part A
10 days
Unit Dates:
February 15 - March 1
Benchmark Dates:
February 27 - March 1
Trimester #3
Part B
15 Days
Unit Dates:
March 7 - March 24
Benchmark Dates:
March 20 - March 24
Trimester #3
Part C
17 Days
Perform complex transformations. (Ex.
rotate 45º or reflect over y=x)
8.G.2/3/4 - Demonstrate that two figures
Perform all four transformations
are congruent or similar using the
(dilations, translations, rotations, and
reflections) on two-dimensional figures
properties of rotations, reflections,
using coordinates.
translations, or dilations of 2D figures.
Unit Dates:
April 5 - May 5
Benchmark Dates:
May 1 - May 5
Trimester #3
Unit 6: Statistics
6.SP.4 - Construct a graphical display of
Identify the graphical display of
Choose an appropriate graphical
numerical data in plots on a number line numerical data in plots on a number
display in a real-world context and plot
line
(i.e. dot plots, histograms and box
(i.e. dot plots, histograms, stem and leaf,
the data.
plots.)
and box plots).
Describe how an outlier affects the
measures of central tendency or
variability.
Identify errors in given inferences.
6.SP.5 - Calculate all quantitative
measures of central tendency and
variability.
Calculate all quantities of central
tendency.
7.SP.1 - Draw valid conclusions from a Identify if a sample is representative of
a population.
random sample.
15 days
Unit Dates:
May 8 - June 2
Benchmark Dates:
None
Trimester #3