ACCELERATED 6/7 MATHEMATICS
CURRICULUM GUIDE
Overview and Scope & Sequence
Loudoun County Public Schools
2013-2014
(Additional curriculum information and resources for teachers can be accessed through CMS)
Accelerated Math 6/7 Nine Weeks Overview
1st Quarter
2nd Quarter
3rd Quarter
4th Quarter
Unit 1 – Integers and
Absolute Value
6.3, 6.11 a, b
7.1 e, 7.3 a, b
7.16 d
Unit 5 – Equations and
Inequalities
6.18, 6.20,
7.14, 7.15,
6.19, 7.16
Unit 8 – Functions
7.12
Unit 11 – Probability
6.16, 7.9
7.10
Unit 2: Rational
Numbers
6.4, 6.6 a, b
7.16 d, 6.2 a – d,
6.7
Unit 3: Exponents and
Scientific Notation
6.5, 7.1 a – d
Algebra Extensions
8.5 – Estimating square
roots
Algebra Extensions
8.15a – solving multistep
equations
8.15b – solving two-step
inequalities
Unit 6 – Proportional
Reasoning
6.1, 7.4
7.6
Algebra Extensions
8.3b – Percent increase
or decrease
Unit 4: Algebraic
Expressions and Order of
Operations
6.8, 7.13
6.19, 7.16
Review and Assessment – 1
blocks
Unit 7 - Sequences
6.17, 7.2
21 blocks
21 blocks
Unit 9 – Geometry
7.8, 6.12,
6.13, 7.7
Algebra Extensions
8.8 – Transformations on plane
figures
Unit 10 – Measurement
6.9, 6.10 a, b, c
6.10d, 7.5 a, b
Algebra Extensions
8.7 – Volume and surface area
Review and Assessment – 3
block
Review and Assessment – 3
blocks
21 blocks
Unit 12 – Statistics
6.15, 6.14,
7.11
Review and Assessment – 7
blocks
**Curriculum done by May
2**
Post – SOL Topics
 8.5 – Estimating square
roots
 8.15 – solving multistep
linear equations and
two-step inequalities
 8.6 – Angle
relationships
 8.10 - Pythagorean
theorem
 8.9 – Create 3
dimensional models
22 blocks
*Algebra Extensions includes topics that are covered in Math 8 and are natural extensions of the Math 6 & 7 curriculum. If time
permits, please include these Algebra Extensions in your course curriculum.
Scope & Sequence
Quarter 1: 21 blocks total
Number
of
blocks
4
6
4
Standard
6.3
6.11 a, b
7.1 e
7.3a, b
7.16 d
6.4
6.6 a, b
7.16 d
6.2 a – d
6.7
6.5
7.1 a – d
8.5
6
1
6.8
7.13
6.19
7.16
Reporting Category
Topic
Unit 1 – Integers and Absolute Value
Number and Number Sense
 Identify and describe absolute value for rational numbers.
 Model addition, subtraction, multiplication, and division of integers
 Integer operations
 Multiplication Property of zero
Unit 2 – Rational Numbers
Number and Number Sense
Rational Numbers
Patterns, Functions, and
Algebra
Algebraic Properties
*See the VDOE Algebraic Properties Technical Assistance Document*
Unit 3 – Exponents and Scientific Notation
Number and Number Sense
 Positive exponents and perfect squares.
 Negative exponents for powers of ten
 Scientific notation for numbers greater than zero
 Compare and order rational numbers and numbers written in
scientific notation
 Determine square roots
Algebra Extensions
Computation & Estimation
 Estimating square roots
Unit 4 – Algebraic Expressions and Order of Operations
Computation and
 Order of operations
Estimation
 Translating verbal expressions into algebraic expressions and
Patterns, Functions, and
equations
Algebra
 Evaluate algebraic expressions for given replacement values of the
variables.
Review and Assessments
Quarter 2: 21 blocks total
Number
of blocks
Standard Reporting Category
7
6.18
6.20
7.14
7.15
6.19
7.16
8
6.1
7.4
7.6
8.3b
3
3
6.17
7.2
Topic
Unit 5 – Equations and Inequalities
Patterns, Functions, and
 Properties of real numbers
Algebra
 Solve one-step linear equations.
 Solve practical problems using one- and two-step linear
equation s in one variable.
 Solve and graph solutions to practical problems using
one- step inequalities in one variable.
 Graphing inequalities on a number line
Unit 6 – Proportional Reasoning
Number and Number Sense
 Ratios
Computation and Estimation
 Solve single-step and multi-step practical problems using
Geometry and Measurement
proportional reasoning. Problems should include scale
drawings and measurement conversations.
 Solve consumer math problems using proportional
reasoning (single-step and multistep problems).
 Determine similar figures (quadrilaterals and triangles)
and write proportions to express the relationships
between the figures.
Algebra Extensions
Computation and Estimation
Calculate the percent increase and percent decrease for
practical problems.
Unit 7 – Sequences
Patterns, Functions, and
 Identify and extend geometric and arithmetic sequences
Algebra
 Describe and represent arithmetic and geometric
Number and Number Sense
sequences using variable expressions
Review and Assessments
Quarter 3: 21 blocks total
Number
of blocks
Standard
7
7.12
8
7.8
6.12
6.13
7.7
8.8
3
6.9
6.10 a,
b, c, d
7.5 a, b
Reporting Category
Topic
Unit 8 – Functions
Patterns, Functions, and
 Use multiple representations of relations and functions
Algebra
(i.e. tables, graphs, rules, and words)
Unit 9 – Geometry
Geometry and Measurement
 Represent transformations of polygons on a coordinate
plane (reflections, dilations, rotations, and
transformation).
 Determine congruence of segments, angles, and
polygons.
 Describe and identify properties of quadrilaterals.
 Compare and contrast quadrilaterals based on their
properties.
Algebra Extensions
Geometry and Measurement
Apply transformations to plane figures on a coordinate
plane. Include rotations of 270 o and 360 o .
Unit 10 – Measurement
Geometry and Measurement
 Ballpark comparisons between metric and customary
system. Include proportional reasoning.
 Define pi as ratio and solve practical problems involving
circumference and area.
 Practical problems involving area and perimeter. Make
explicit connections to multiplication and division of
fractions.
 Describe and determine the volume and surface area of
a rectangular prism.
 Solve practical problems involving surface area and
volume and describe the effects of changing one
measured attribute of a rectangular prism to its volume
and surface area.
Quarter 3: 21 blocks total (Continued)
8.7
3
Algebra Extensions
Geometry and Measurement
Find the volume and surface area of cones and pyramids.
Describe the effects of changing one measured attribute to
its volume and surface area..
Review and Assessments
Quarter 4: 22 blocks total
Number
of blocks
Standard Reporting Category
4
6.16
7.9
7.10
4
6.15
6.14
7.11
7
Topic
Unit 11 – Probability
Probability and Statistics
 Compare and contrast dependent and independent
events. Determine probabilities for dependent and
independent events.
 Experimental and theoretical probability
 Probability of compound events
Unit 12 – Statistics
Probability and Statistics
 Describe mean as a balance point and decide which
measure of central tendency is appropriate for specific
situations.
 Construct, draw conclusions, and predict circle graphs.
Compare and contrast various data representations for
the same data set.
Post SOL Topics
 8.5 – Estimating square roots
 8.15 – Solving multistep linear equations and two-step
inequalities
 8.6 – Angle relationships
 8.10 – Pythagorean theorem
 8.9 – Create 3 dimensional models
Review and Assessments
Additional information about the Standards of Learning can be found in the
VDOE Curriculum Framework
(click links below)
http://www.doe.virginia.gov/testing/sol/frameworks/mathematics_framewks/2009/framewk_math6.pdf
http://www.doe.virginia.gov/testing/sol/frameworks/mathematics_framewks/2009/framewk_math7.pdf