Download Grade 8 Math Curriculum Sequence

Grade 8 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: Computation & Representing Numbers
 Equivalent Forms of Rational Numbers
 Converting Fractions, Decimals, Percents, and Ratios
 Ratio to Fraction
 Operation with Decimals
 Add and Subtract Decimals
 Multiply Decimals
 Divide Decimals by Whole Number Divisors
 Divide Decimals by Decimal Divisors
 Applications
 Operation with Fractions
 Add and Subtract Fractions and Mixed Numbers
 Multiply Fractions and Mixed Numbers
 Divide Fractions and Mixed Numbers
UNIT 2: Integers
*COMMON
CORE
*COMMON
CORE
*COMMON
CORE
 Building Integer Concepts
 Plotting integers and absolute value
 Identify opposites
 Distance between points
 Compare and Order Integers
 Compare, Order, Describe Rational Numbers
 Compare Rational Numbers
 Order Rational Numbers
 Add Integers
 With models
 Same Signs
 Different Signs
 Subtract Integers
 With models
 Positive Subtrahend
 Negative Subtrahend
Suggested Time
Frame
Sep 7 - Sept 17
testing window
(9 – 13 days)
3 – 4 days
2 – 3 days
4 – 6 days
(9 – 16 days)
1 – 2 days
2 – 3 days
1 – 2 days
2 – 3 days
*COMMON
CORE
 Multiply and Divide Integers
 With models
 Multiply Integers
 Divide Integers
 Arithmetic Sequences
 Using Words or Numbers
 Using Tables or Graphs
 Geometric Sequences
 Using Words or Numbers
 Using Tables or Graphs
UNIT 3: Order of Operations
 Scientific notation
 With Positive Exponents
 With Negative Exponents
 Powers of integers
 Positive Bases
 Negative Bases
 Laws of exponents
 Product Rule
 Quotient Rule
 Combining Laws
 Square Roots
 Square Roots
 Locate Value of Square Root Between Two Integers
 Estimate Square Roots to the Nearest Tenth
 Applications with Calculator
 Introduction to Pythagorean Theorem – Solving for Hypotenuse
 Order of Operations with Rational Numbers
 With Exponents
 With Brackets
 With Absolute Value
 With Division Bar
 Mixed Review
Unit 4: Expressions
 Write Expressions
 With one-operations
 With two-operations
 With three-operations
 Write Expressions with Percentages
 Evaluate Expressions with Substitution
 With Integers
 With Fractions
 With Decimals
 Mixed Review
1 – 2 days
1 – 2 days
1 – 2 days
(8 – 13 days)
1 – 2 days
1 – 2 days
1 – 2 days
2 – 3 days
3 – 4 days
(9 – 13 days)
2 – 3 days
3 – 4 days
 Properties
 Identity Property
 Additive inverse Property
 Commutative Property
 Associative Property
 Distributive Property
 Combining like terms
 Identify Like Terms
 Combine Like Terms
 Distributive Property
 Combine Like Terms with Distributive Property
QUARTER 2 (Nov 8 – Jan 21)
46 days
BENCHMARK B
(all Quarter 1 skills assessed)
UNIT 5a: Equations
 Write Equations
 Write One-Step
 Write Two-, or Three-Step; Variable on One Side
 Write Two-, or Three-Step; Variable on Both Sides (Not Assessed)
 Solve Equations
 Two-Step Equations
 Combining Like Terms
 Distributive Property
 Applications
 Identify Equivalent Equations
 Identify Equivalent Equations
 Manipulating Equations
UNIT 5b: Inequalities
 Write Inequalities
 Write One Step
 Write Two-, or Three-Step; Variable on One Side
 Write Two-, or Three-Step; Variable on Both Sides (Not Assessed)
 Solve Inequalities
 Two-step Inequalities
 Combining Like Terms
 Distributive Property
 Negative Coefficients (Not Assessed)
 Graph Solutions of Inequalities
 Graph Solutions on a Number Line
 Minimum/Maximum Value
Unit 6: Graphing Linear Equations
 Linearity
 Identify Linear and Nonlinear Functions
1 – 2 days
3 – 4 days
Suggested Time
Frame
Nov 1 – Nov 12
testing window
(6 – 9 days)
2 – 3 days
3 – 4 days
1 – 2 days
(6 – 9 days)
2 – 3 days
3 – 4 days
1 – 2 days
( 8 – 12 days)
1 – 2 days
 Slope
 Slope as Rate of Change
 Slope from Graph
 Slope from Equation (Not Assessed)
 Graph Linear Equations – Part 1
 Solutions
 Intercepts
 Graph Linear Equations – Part 2
 Slope-Intercept Form
 Point-Slope Form
 Coefficients of y
Unit 7: Formulas
 Circles
 Circumference
 Area
 Volume
 Volume of Cylinders
 Applications
 Area of Composite Figures
 Area of Triangles, Rectangles, and Squares
 Area of Composite Figures
 Pythagorean Theorem
 Parts of a Right Triangle
 Solving for Hypotenuse
 Solving for Leg
 Applications
 Apply Formulas
 Temperature Formula
 Distance Formula
 Simple Interest Formula
 Applications of Applying Formulas
*COMMON
CORE
Unit 8: Proportional Thinking

Unit Rates
 Determine unit rates
 Determine unit rates with fractions
 Solve unit rate problems
*COMMON
CORE
 Proportional Reasoning
 Compare ratios
 Solve proportions
 Algebraically model proportional relationships
 Scale
 Scale Drawings with a Ruler
 Applications of Scale
2 – 3 days
2 – 3 days
3 – 4 days
( 8 – 13 days)
1 – 2 days
1 – 2 days
2 – 3 days
2 – 3 days
2 – 3 days
(10 – 14 days)
2 – 3 days
3 – 4 days
2 – 3 days
 Similar Polygons
 Identify Similar Polygons
 Calculate Missing Side
 Calculate Missing Angle
QUARTER 3 (Jan 26 – March 30)
45 days
BENCHMARK C – Mock MSA
(all VSC assessed skills)
Unit 9: Percents & Graphs
*COMMON
CORE
 Percent Problems
 Percent of a Number
 Part given Percent and Total (Not Assessed)
 Total given Percent and Part (Not Assessed)
 Discount
 Sales Tax/Commission
 Simple Interest
 Percent Increase/Decrease
 Circle graphs
 Interpret Circle Graphs
 Make Circle Graphs
Unit 10: Data Analysis
 Measures of Central Tendency
 Mean
 Median
 Mode
 Range
 Interpret Tables
 Interpret Data Tables
 Box and Whisker Plots
 Interpret Box & Whiskers Plots
 Make Box & Whiskers Plots
 Scatter Plots
 Interpret Scatter Plots
 Make Scatter Plots
Unit 11: Probability
 Outcomes
 Combinations
 The Counting Principle
 Permutations and Arrangements
 Make Predictions
 Moving from Theoretical to Experimental Probability
 Make Predictions using Experimental Probability
3 – 4 days
Suggested Time
Frame
Jan 31 – Feb 11
testing window
(4 – 6 days)
3 – 4 days
1 – 2 days
(7 – 11 days)
1 – 2 days
1 – 2 days
3 – 4 days
2 – 3 days
(7 – 11 days)
3 – 4 days
1 – 2 days
 Independent Probability
 One Event
 Two Events
 Dependent Probability
 Second Event
 First and Second Events (Not Assessed)
Unit 12: Geometry
 Angle Pairs in a Transversal
 Identify Angle Pairs
 Calculate Missing Angle
 Construct Perpendicular Segments
 Construct Perpendicular Segments
 Construct Congruent Triangles
 Construct Congruent Triangles
 Construct Quadrilaterals
 Given 4 Angles
 Given 4 Sides
 Given 3 Sides and 1 Angle
 Rhombus given 1 Side and 1 Angle
 Multiple Transformations
 Translation
 Reflection
 Rotation
 Multiple Transformations
Maryland State Assessment
POST-MSA CURRICULUM
*COMMON
CORE
*COMMON
CORE
Unit 13: Integers
 Integer Concepts
 Absolute Value
 Identify opposites
 Distance between points
 Compare Integers
 Order Integers
 Add Integers
 With models
 Same Signs
 Different Signs
1 – 2 days
2 – 3 days
(7 – 12 days)
1 – 2 days
1 – 2 days
1 – 2 days
2 – 3 days
2 – 3 days
March 7 to
March 16
Suggested Time
Frame
(13 – 22 days)
1 - 2 days
1 - 3 days
*COMMON
CORE
 Subtract Integers
 With models
 Positive Subtrahend
 Negative Subtrahend
*COMMON
CORE
 Multiply and Divide Integers
 With models
 Multiply and Divide Two Integers
 Multiply and Divide More Than Two Integers
 Powers of Integers
 Positive Bases
 Negative Bases
 Negative Exponents
 Order of Operations
 With Exponents, Basic Operations, and Integers
 With Multiple Grouping Symbols and Integers
 Laws of Exponents
 Product Rule
 Quotient Rule
 Power of a Power
 Laws of Exponents with Variables
Unit 14: Representing & Solving for the Unknown
 Write Expressions and Equations
 One-Step
 Two-Step
 Two-Step; Parentheses
 Simplify Expressions
 Identify Like Terms and Constants
 Combine Like Terms
 Simplify using Distributive Property
 Simplify by Combining Like Terms and Distributive Property
 Solve Equations
 One-Step
 Two-, or Three-Step
 Two-, or Three-Step; Parentheses
 Two-, or Three-Step; Variables on Both Sides
 Null Set Solution or Infinite Solution
Unit 15: Algebra on the Coordinate Plane
 Coordinate Plane
 Graph Points in Four Quadrants
 Scatter Plots
 Make Scatter Plots
 Line of Best Fit
 Interpret Scatter Plots
2 - 4 days
2 - 3 days
1 - 2 days
4 - 5 days
2 - 3 days
3 weeks
(11 - 17 days)
4 - 6 days
2 - 3 days
5 - 8 days
2 weeks
(7 - 10 days)
2 - 3 days
2 - 3 days
 Slope
 Slope as Constant Rate of Change
Rise
Run

Slope as Ratio of

Slope with the Slope Formula
3 - 4 days
 y2  y1 
x2  x1 
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.