MATH 6 CURRICULUM GUIDE Overview and Scope & Sequence

advertisement
MATH 6
CURRICULUM GUIDE
Overview and Scope & Sequence
Loudoun County Public Schools
2013-2014
(Additional curriculum information and resources for teachers can be accessed through CMS)
Math 6 Nine Weeks Overview
1st Quarter
Unit 1: Ratios
6.1
Unit 2: Rational Numbers
6.2
6.4
6.6
6.7
Review and Assessment – 3
blocks
2nd Quarter
Unit 3: Integers and
Absolute Value
6.3
Unit 4: Inequalities
6.20
Unit 5: Coordinate Plane
6.11
Unit 6: Properties of Real
Numbers
6.19
Unit 7: Evaluating
Expressions & Applying
Properties of Real Numbers
6.5
6.8
Unit 7: Sequences
6.17
21 blocks
Review and Assessment – 6
blocks
**option – start equations after
sequences in second quarter
21 blocks
3rd Quarter
Unit 8: Equations
6.18
Unit 9: Measurement
6.9
Unit 10: Geometry
6.12
6.13
6.10 c
6.10 a,b
*Algebra Extension
8.11 – Practical problems on
composite figures in relation
to area.
Unit 11: Volume and
Surface Area
6.10 d
4th Quarter
Unit 12: Probability and
Statistics
6.15
6.14
6.16
Review and Assessment **Curriculum done by May
2**
Post SOL topics:





Operations with integers
One step equations
Factoring
Simplifying algebraic
fractions
Scientific notation with
negative exponents
Review and Assessment –
3 blocks
21 blocks
22 blocks
*Algebra Extensions includes topics that are covered in Math 8 and are natural extensions of the Math 6 curriculum. If time permits,
please include these Algebra Extensions in your course curriculum.
Scope & Sequence
Quarter 1: 21 blocks total
Number
of blocks
Standard Reporting Category
Topic
Unit 1 – Ratios
Ratios
1
6.1
Number and Number
Sense
6
6.2
Number and Number
Sense
2
6.4
Number and Number
Sense
Multiple representations of multiplication and division of fractions.
4
6.6
Computation and
Estimation
Multi-step practical problems involving fraction operations
5
6.7
Computation and
Estimation
Multi-step practical problems involving decimal operations
3
Unit 2 – Rational Numbers
Investigate, describe, identify, demonstrate equivalent, compare and
order fractions, decimals and percents and ratios
Review and Assessments
Quarter 2: 21 blocks total
Number
of blocks
Standard Reporting Category
Topic
Unit 3 – Integers and Absolute Value
2
6.3
Number and Number Sense
Identify, represent, compare and represent integers and
absolute value.
Unit 4 – Inequalities
1
6.20
Patterns, Functions, and
Graphing inequalities on a number line
Algebra
Unit 5 – Coordinate Plane
2
6.11
Geometry
Identify coordinates and graph ordered pairs on a
coordinate plane
Unit 6 – Properties of Real Numbers
2
6.19
Patterns, Functions, and
Investigate and recognize algebraic properties
Algebra
 Identity property of multiplication and addition
 Multiplicative property of zero
 Inverse property of Multiplication
Unit 7 – Evaluating Expressions & Applying Properties of Real Numbers
4
6.5
Number and Number Sense
Investigate and describe positive exponents and perfect
squares.
4
6.8
Computation and Estimation
Evaluate whole number numerical expressions, using the
order of operations – References to properties should be
made explicit in evaluating expressions
Unit 8 – Sequences
2
6.17
Patterns, Functions, and
Identify and extend geometric and arithmetic sequences
Algebra
**Option: Start equations after sequences during the second quarter.
4
Review and Assessments
Quarter 3: 21 blocks total
Number
of blocks
Standard Reporting Category
Topic
Unit 9 – Equations
4
6.18
Patterns, Functions, and
Solve one-step linear equations.
Algebra
Unit 10 – Measurement
3
6.9
Geometry and Measurement
1
6.12
Geometry and Measurement
Determine congruence of segments, angles, and polygons.
3
6.13
Geometry and Measurement
Describe and identify properties of quadrilaterals.
2
6.10 c
Geometry and Measurement
5
6.10
a, b
Geometry and Measurement
Practical problems involving area and perimeter. Make
explicit connections to multiplication and division of fractions.
Define pi as ratio and solve practical problems involving
circumference and area.
8.11
Geometry and Measurement
Ballpark comparisons between metric and customary system.
Include proportional reasoning.
Unit 11 – Geometry
Algebra Extension
Practical problems on composite figures in relation to area
Unit 12 – Volume and Surface Area
2
1
6.10 d
Geometry and Measurement
Describe and determine the volume and surface area of a
rectangular prism.
Review and Assessments
Quarter 4: 22 blocks total
Number
of blocks
Standard Reporting Category
Topic
Unit 13 – Probability and Statistics
3
6.15
3
6.14
3
6.16
Probability, Statistics,
Patterns, Functions and
Algebra
Probability, Statistics,
Patterns, Functions and
Algebra
Probability, Statistics,
Patterns, Functions and
Algebra
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.
Compare and contrast dependent and independent events.
Determine probabilities for dependent and independent events.
Post SOL Topics
2
 Operations with Integers
 Solving one-step equations
 Factoring rational numbers
 Simplifying algebraic fractions
 Scientific notation for numbers less than 1
Review and Assessments
**The Math 6 curriculum should be taught by May 2nd to ensure sufficient time for preparation and practice for the SOL assessment.
Additional information about the Standards of Learning can be found in the
VDOE Curriculum Framework
(click link below)
http://www.doe.virginia.gov/testing/sol/frameworks/mathematics_framewks/2009/framewk_math6.pdf
Download