Grade 7 Math Curriculum Sequence

Grade 7 Math Curriculum Sequence

School Year 2010-2011

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