Standards

6th Grade Math Standards
 
1. Decimals………….………...……...…… 6.NS.2/NS.3 ……………..…….......................13
 
  • Estimate
  • Add
  • Subtract
  • Multiply
  • Divide
 
2.  GCF and LCM…………..…………….. 6.NS.4 …..………..….………..……………...5
 
  • Distributive Property (in GCF)
 
3. Fractions ……….…………………….... 6.NS.1…….……………………....…............20
 
  • Estimate
  • Equivalence
  • Add
  • Subtract
  • Multiply
  • Divide
 
4.  Ratios & Proportions...………….... 6.RP.1/RP.2/RP.3 ……………….……..….........10
 
  • Ratio notation and types
  • Equivalence
  • Unit Rate
  • Rate per 100
  • Measurement conversions
 
5. Expressions..................................6.EE.1/EE.2/EE.3/EE.4……………………….…..13
 
  • Translate and write
  • Exponents
  • Order of Operations
  • Substitution
  • Equivalence with number properties
 
6. Equations & Inequalities…….. 6.EE.5/EE.6/EE.7/EE.8/EE.9 …………………...….15
  • Solutions by substitution
  • Write
  • One-variable equations
  • Independent and dependent variables
 
7. Integers and other rational #s..... 6.NS.5/NS.6/NS.7/NS.8 .……………….…..........16
 
  • Real-world quantities
  • Opposites
  • Absolute value
  • Locations on a number line (and other rational numbers)
  • Compare and order (and other rational numbers)
  • Graph in a coordinate plane (all quadrants)
  • Distance between points
 
8.    Geometry….……………………….…6.G.1/G.2/G.3/G.4..................................…...35
  • Area of triangles and quadrilaterals
  • Compound figures
  • Shaded regions
  • Volume of right rectangular prisms
  • Side lengths of a polygon in the coordinate plane
  • 3-D figures w/ nets
  • Surface area
 
9.      Statistics….………………...…6.SP.1/SP.2/SP.3/SP.4/SP.5 ...............................27
  • Variability in statistical questions
  • Distribution (center, spread, and overall shape)
  • Outliers
  • Measures of central tendency (mean, median, and mode)
  • Measures of variation (range, interquartile range, and absolute deviation)
  • Display datas (dot plots, histograms, and box plots)
  • Choose an appropriate measure to represent data
 
 

 

 

7th Grade Math Standards
                        
        Topic                          Common Core                                              
                                                Standards                                                   
                                   
1. Ratios and Proportions....……….. 7. RP.1/7.RP.2/7.RP.3 …..…….............................18
  • Ratio and rates
  • Rates and Proportions
  • Using tables to solve problems
  • Using proportions to solve problems
  • Using unit rates
  • Identify two quantities with a constant ratio
  • Determine equivalent ratios
  • Determine and apply the constant of proportionality and solve proportions
  • Graphing direct proportions
  • Using direct proportions and interpreting multiple representations of direct proportions
 
2. Percents ……….…………………7. RP.1/7.RP.2/7.RP.3 ……………………..…...........6
  • Estimate and calculate with percents and ratios
  • Solve percent problems
  • Using proportions and percent equations
  • Using percents
  • Solving percent problems involving proportions
 
3.  Rational Numbers……….……………7. NS.1/7.NS.2………………………..…...........14
  • Using models to understand integers
  • Add and subtract integers
  • Add and subtract rational numbers
  • Multiply and divide integers
  • Multiply and divide rational numbers
  • Simplify and evaluate expressions with rational numbers
  • Exact decimal representations of fractions
 
4. Expressions and Equations.............. 7.EE.1/7.EE.2 ………………………..…..….….7
  • Evaluating algebraic expressions
  • Simplifying expressions using distributive properties
  • Factoring algebraic expressions
  • Verifying equivalent expressions
  • Simplifying algebraic expressions using operations and their properties
 
5. Equations & Inequalities.. 7.EE.1/7.EE.2/7.EE.3/7.EE.4/7.NS.1.d/7.NS.2.c….….….14
·         Picture algebra
·         Solving two-step equations
·         Solve and graph inequalities in one variable
·         Multiple representations of problem situations
·         Use two-step equations
·         Solving more complicated equations
·         Negative solutions
·         Rate of change
·         Using multiple representations to solve problems
 
 
6.    Angles ……………………………….…….. 7.G.5 .………………………………...........6
  • Geometry and geometric constructions
  • Constructing angles
  • Complements, supplements, midpoints, perpendiculars and perpendicular bisectors
 
7.    Triangles….……………………7.RP.2/7.G.1/7.G.2/7.G.5 ....................................…..5
·         Triangle sum, exterior angle, and exterior angle inequality theorems
·         Construct triangles
·         Congruent figures
·         Construct congruent triangles
·         Triangle inequality theorem
 
8.      Scale Drawings.………………...............…7.G.1 .....................................................6
·         Dilations and scale drawings, models, and factors
·         Exploring aspect ratio
·         Exploring scale drawings
 
9.    Circles……………………………………. 7.G.2/7.G.4 ………..………….……….……7
  • Circumference of a circle
  • Area of a circle
  • Solving problems involving circles
 
10. Three-Dimensional Figures…………7.G.2/7.G.3/7.G.6 ………………….……...…..5
·         Cross-sections of cubes
·         Cross-sections of pyramids and prisms
·         Solving problems with 3-D figures
·         Volume and surface area
 
11. Statistics……………………......7.SP.1/7.SP.2/7.SP.3/7.SP.4…………..……………18
·         Formulating questions and collecting data
·         Random sampling
·         Sample size
·         Interpreting results
·         Comparing measures of center for two populations
·         Drawing conclusions about two populations
 
12. Probability…….………………7.SP.5/7.SP.6/7.SP.7/7.SP.8…….…….……….…….14
  • Determining experimental and theoretical probability
  • Simulating experiments
  • Use models for probability
  • Determine sample spaces for compound events
  • Determine compound probability
  • Simulating probability of compound events
8th Grade Standards
 
8th Grade Pre-Algebra Common Core Standards                        
1. Properties of Exponents and Scientific Notation…..8.EE.1,8.EE.3,8.EE.4
·         Powers and Exponents
  • Multiplying and Dividing Powers
  • Zero and Negative Exponents
  • Scientific Notation
  • Operations with Scientific Notation 
2. Linear Equations………………………………………...........…8.EE.7(a,b)
  • Solving Problems Using Equations
  • Solving More Complicated Equations
  • Equations with Infinite or No Solutions
  • Solving Linear Equations
  • Solving More Linear Equations
 
3.  Functions……………………………....................................…..8.F.1,8.F.2,8.F.3, 8.F.4, 8.F.5
  • Developing Sequences
  • Describing Characteristics of Graphs
  • Defining and Recognizing Functions
  • Linear Functions
  • Using Tables, Graphs, and Equations Part 1
  • Using Tables, Graphs, and Equations Part 2
  •  Introduction to Nonlinear Functions
 
4. Rate of Change/Slope……………………..................................8.EE.5,8.EE.6
  • Determining Rate of Change – Graph
  • Determining Rate of Change – Table
  • Determining Rate of Change – Context
  • Determining Rate of Change - Equation
  • Determining Y-Intercepts from Various Representations
  • Determining Rate of Change and Y-Intercept
 
5. Slope-Intercept Form………………….......................................8.F.3,8.EE.5,8.EE.6,8.EE.7b,8.F.3
  • Analyzing Problem Situations Using Multiple Representations
  • Interpreting the Standard Form of a Linear Equation
  • Connecting the Standard Form with the Slope-Intercept Form of Linear Functions
  • Intervals of Increase, Decrease, and No Change
 
6.    Real Numbers…………………………......................................8.NS.1, 8.NS.2, 8.EE.2
  • Rational Numbers
  • Irrational Numbers
  • Real Numbers and Their Properties
 
7.    Pythagorean Theorem………….......................................……8.G.6, 8.G.7, 8.G.8
  • Pythagorean Theorem
  • Converse of Pythagorean Theorem
  • Solving for Unknown Lengths
  • Calculating Distance Between Points on the Coordinate Plane
  • Diagonals in Two Dimensions
  • Diagonals in Three Dimensions
 
8.    Transformations and Congruence………........................……8.G.1,(a,b,c),8.G.2
  • Translations Using Geometric Figures
  • Translation of Linear Functions
  • Rotations of Geometric Figures on the Coordinate Plane
  • Reflections of Geometric Figures on the Coordinate Plane
  • Translations, Rotations, and Reflections of Triangles
  • Congruent Triangles
 
9.     Transformations and Similarity……….................................….8.G.3,8.G.4,8.EE.6
  • Dilations of Triangles
10. Line and Angle Relationships…………................................….8.G.5,8.G.1(a,b,c)
  • Line Relationships
  • Angle Relationships Formed by Two Intersecting Lines
  • Angle Relationships Formed by Two Lines Intersected by a Transversal
  • Slopes of Parallel and Perpendicular Lines
  • Line Transformations
 
11.  Systems of Linear Equations…….............................................8.EE.8(a,b,c), 8.G.1,8.G.5
  • Using a Graph to Solve a Linear System
  • Graphs and Solutions of Linear Systems
  • Using Substitution to Solve a Linear System, Part I
  • Using Substitution to Solve a Linear System, Part 2
  • Using Linear Combinations to Solve a Linear System, Part I
  • Using Linear Combinations to Solve a Linear System, Part 2
  • Using the Best Method to Solve a Linear System
 
12. Volume of Cones, Cylinders, and Spheres……............………8.G.9
  • Volume of a Cylinder
  • Volume of a Cone
  • Volume of a Sphere
  • Using Volume Formulas to Solve Problems
 
13. Scatter Plots (Bivariate Data)………….............................…….8.SP.1,8.SP.2,8.SP.3,8.SP.4
  • Using Scatter Plots to Display Bivariate Data
  • Interpreting Patterns in Scatter Plots
  • Connecting Tables and Scatter Plots for Collected Data
  • Drawing the Line of Best Fit
  • Analyzing Lines of Best Fit
  • Correlation
  • Scatter Plots and Non-Linear Data
  • Using Two-Way Tables to Display Two-Variable Data