Grade 7 Math Curriculum
Sequence
School Year 2010-2011
QUARTER 1 (Aug 30 – Nov 5)
45 days
BENCHMARK A
(same skills as June Benchmark in previous grade)
UNIT 1: Fractions and Decimals
 Expand decimals
 Written as a decimal
 Written as a fraction
 Equivalent forms of rational numbers
 Fraction  decimal  percent
 Ratio to fraction
 Compare and order rational numbers
 Comparing rational numbers
 Ordering rational numbers
 Operations with fractions
 Adding and subtracting fractions and mixed numbers
 Multiplying fractions and mixed numbers
 Mixed practice with order of operations
 Rational numbers on a number line
 Proper Fractions and mixed numbers on a number line with
negatives
 Percents and decimals on a number line with negatives
 Fraction, decimals, percents on a number line with negatives
 Estimation
 Rational numbers with all operations
*COMMON
CORE
*COMMON
CORE
UNIT 2: Integers
 Integers Concepts
 Plotting and identifying integers and their absolute value on
a number line
 Identifying opposites
 Distance between points
 Comparing and ordering integers
 Add Integers
 Add with models
 Add 2 positive or 2 negative numbers Add 1 negative and 1
positive number
Suggested Time
Frame
Sep 7 - Sept 17
testing window
(15 – 22 days)
2 – 3 days
4 – 5 days
3 – 4 days
3 – 5 days
2 – 3 days
1 – 2 days
( 10 – 16 days)
2 - 3 days
3 - 4 days
*COMMON
CORE
 Subtract Integers
 Subtract with models
 Subtract a positive integer from any integer
 Subtract a negative integer from any integer
3 - 4 days
*COMMON
CORE
 Multiply & Divide Integers
 Multiply and divide with models
 Multiply and divide 2 integers
2 - 3 days
UNIT 3: Exponents
(5 – 9 days)
 Powers and square roots
 Powers with positive base
 Powers with negative base
 Square roots
 Exponential notation
 Simplify expressions with exponents
 Laws of exponents
 Product rule
 Quotient rule
 Combining product rule and quotient rule
 Properties
 Commutative property and Associative Property
 Identity property and Distributive Property
 Mixed Review of Properties
1 – 2 days
1 – 2 days
2 – 3 days
1 – 2 days
Unit 4: Algebra 1
(15 – 22 days)
 Change in a table
 Describe the change in a table
 Order of operations
 Order of operations with exponents
 Order of operations with brackets
 Order of operations with division bar
 Mixed review
 Write expression
 One operation
 Two operations
QUARTER 2 (Nov 8 – Jan 21)
46 days
BENCHMARK B
(all Quarter 1 skills assessed)
 Evaluate expressions
 Evaluate expressions with whole numbers
 Evaluate expressions with fractions
 Evaluate expressions with decimals
1 – 2 days
4 – 5 days
2 – 3 days
Suggested Time
Frame
Nov 1 – Nov 12
testing window
3 – 4 days
 Function tables
 Use rule given as an equation (solving for input and output)
 Use rule embedded in word problem (solving for input and output)
 Test two-operation rule (solving for input and output)
 Apply formulas
 Measurement formulas
 Simple interest formula
 Temperature and distance formulas
Unit 5: Algebra 2
 Write equations
 One operation
 Two operations
 Write inequalities
 One operation
 Two operations
 Solve equations
 One-step
 Two-step
3 – 5 days
2 – 3 days
(10 – 16 days)
2 – 3 days
2 – 3 days
3 – 5 days
 Solve inequalities
 One-step
1 – 2 days
 Graph solutions of inequalities
 Graph solutions on a number line
 Maximum or minimum value
2 – 3 days
UNIT 6: Proportions & Ratios
*COMMON
CORE
*COMMON
CORE
*COMMON
CORE
(14 – 21 days)
 Ratios
 Write ratios as relative comparisons
 Write equivalent ratios

 Rates
 Determine unit rates
 Determine unit rates with fractions
 Solve unit rate problems

 Proportional Reasoning

Model proportional reasoning
 Compare ratios
 Solve proportions
 Algebraically model proportional relationships

2 – 3 days
3 – 5 days
5 – 7 days
*COMMON
CORE
 Ratio Reasoning with Percents
 Determine original value
 Percent change of a number
Unit 7: Probability
 Outcomes
 Calculate outcomes
 Independent Probability
 Probability of one event
 Probability of independent events
 Make predictions
 Experimental probability
 Make Predictions
QUARTER 3 (Jan 25 – March 30)
45 days
BENCHMARK C – Mock MSA
(all VSC assessed skills)
Unit 8: Measurement
 Congruent parts of polygons
 Congruent parts of polygons
 Scale
 Missing Dimension
 Determining distance Between two points
 Area of parallelogram
 area of a parallelogram
 Area of trapezoid
 Using formula
 Finding missing dimension to calculate area
 Surface area
 Surface area of rectangular prism
UNIT 9: Geometry 1
 Coordinate grid
 Graph ordered pairs in all quadrants
 Transformations
 Translation
 Reflection
 180° rotation
 90° rotation
 Angle pairs
 Identify angle pairs
 Find missing angles
4 – 6 days
(7 – 11 days)
2 – 3 days
3 – 5 days
2 – 3 days
Suggested Time
Frame
Jan 31 – Feb 11
testing window
2.5 weeks
(9 – 14 days)
1 – 2 days
3 – 4 days
1 – 2 days
2 – 3 days
2 – 3 days
(9 – 14 days)
2 – 3 days
4 – 6 days
2 – 3 days
 Missing angles in a quadrilateral
 Find missing angle given three angles
 Find missing angle given one angle
Unit 10: Statistics
(7 – 12 days)
 Measures of central tendency
 Mixed review of measures of central tendencies
 Missing number – mean
 Best descriptor of data
 Back-to-back stem-and-leaf plots
 Create
 Analyze
 Misleading graphs
 Misleading graphs
 Best choice of data display
 Best choice of data display
Unit 11: Geometry 2
 Construct congruent line segments
 Construct congruent line segments
 Construct circle
 Construct circle
 Construct perpendicular bisectors
 Construct perpendicular bisectors
 Construct angle bisectors
 Construct angle bisectors
Maryland State Assessment
POST-MSA CURRICULUM
*COMMON
CORE
Unit 12: Integers
*COMMON
CORE
1 – 2 days
 Integers Concepts
 Plotting and identifying integers and their absolute value on
a number line
 Identifying opposites
 Distance between points
 Comparing and ordering integers
 Add Integers
 With models
 Add 2 positive or 2 negative numbers
 Add 1 negative and 1 positive number
3 – 5 days
2 – 3 days
1 – 2 days
1 – 2 days
(4 – 8 days)
1 – 2 days
1 – 2 days
1 – 2 days
1 – 2 days
March 7 to
March 16
Suggested Time
Frame
(12 – 17 days)
2 – 3 days
2 – 3 days
*COMMON
CORE
*COMMON
CORE
*COMMON
CORE
 Subtract Integers
 With models
 Subtract a positive integer from any integer Subtract a
negative integer from any integer
 Multiply & Divide Integers
 With models
 Multiply and divide 2 integers
 Multiply and divide more than 2 integers
 Order of Operations
 With exponents
 With brackets
 With absolute value
 With division bar
 Mixed review
Unit 13: Fractions, Decimals, Percents
*COMMON
CORE
 Rational Numbers on Number Line (without absolute value)
 Equivalent forms of fractions, decimals, percents and ratio
 Locate and plot fractions, decimals, percents and integers on a
number line
 Compare and Order Rational Numbers (without absolute value)
 Compare equivalent forms of fractions, decimals and percents
 Order equivalent forms of fractions, decimals and percents
 Divide Decimals
 Divide Decimal Dividend by a Whole Number Divisor
 Divide Decimal Dividend by a Decimal Divisor
 Divide Fractions & Mixed Numbers
 Find reciprocals
 Divide proper fractions and whole numbers
 Divide mixed numbers, fractions and whole numbers
*COMMON
CORE
*COMMON
CORE
*COMMON
CORE
Unit 14: Proportional Reasoning
 Rates
 Determine unit rates in context
 Solve unit rate problems



Proportional Reasoning
Solve proportions
Algebraically model proportional relationships
 Ratio Reasoning with Percents
 Determine percent change of a number
3 – 4 days
2 – 3 days
3 – 4 days
(7 – 11 days)
2 - 3 days
2 - 3 days
1 - 2 days
2 - 3 days
(5 – 9 days)
1 – 3 days
2 – 3 days
2 – 3 days
Unit 15: Exponents and Roots
 Powers of Integers
 Positive bases
 Negative based
 Evaluating algebraic expressions with exponents
 Exponential & Scientific Notation
 Exponential notation
 Scientific notation with positive exponents
 Scientific notation with negative exponents
 Square Roots
 Calculating square roots of perfect squares
 Estimating square roots of non-perfect squares
 Pythagorean Theorem
 Parts of a right triangle
 Solving for hypotenuse
 Solving for leg
 Word problems
(8 – 12 days)
2 – 3 days
2 – 3 days
1 – 2 days
3 – 4 days
BENCHMARK D – End of Year Benchmark
May 16 – May 27
(all skills from Quarters 1-4 assessed)
testing window
*Common Core - This skill will infuse the Maryland State Standards and the
Common Core.