Objective  Skills 
Quarter 1 

Numbers and Operations (Whole, Decimals, Fractions)
Algebra (Proportionality) 

Review of 6th Grade Skills 

Operations with Whole Numbers and Decimals   Add, Subtract, Multiply, Divide Whole Numbers and Decimals
 Compare and Order whole numbers and Decimals on a number line
 Properties of Addition and Multiplication

Fractions and Mixed Numbers   Add, Subtract, Multiply, and Divide Mixed Numbers and Fractions with common and not common denominators
 Solve word problems with fractions and Mixed numbers

Integers and Rational Numbers   Relate Integers and their opposites
 Order positive and negative numbers
 Order of operations and exponents
 Understand difference between Rational and Irrational numbers
 Classify numbers in the real number system

Add and Subtract Integers and Rational Numbers   Add Integers
 Subtract Integers
 Add and Subtract Rational Numbers

Multiply and Divide Integers and Rational Numbers   Multiply Integers
 Divide Integers
 Multiply and Divide Rational Numbers
 Solve word problems with the four operations and rational numbers

Ratios, Rates, and Unit Rates   Write and use ratios and rates
 Write and solve proportions
Create and interpret equivalent ratios 
Proportional Relationships   Describe Proportional Relationships
 Understand the constant of proportionality
 Graph proportional relationships
 Apply Proportional Reasoning to Solve Problems
 Find Scale Factors

Quarter 2 

Algebra (Proportionality)
Algebra (Functional Relationships)
Algebra (Expressions and Equations) 

Percent   Analyze Percents of Numbers
 Connect percents and proportions
 Write and solve percent equations
 Use proportions to solve problems involving percents

Analyze Percent of Change   Estimate and use common applications of percentages including tax, tip, discount, markup, interest, and commission
 Solve percent of change and percent error problems
 Solve simple interest problems
 Recognize the constant rate of change as slope

Algebraic Expressions   Understand the opposite of a number and use it in expressions like – x when x = 2
 Understand difference between expression and equation
 Expressions with square roots
 Write and evaluate algebraic expressions
 Generate equivalent expressions
 Simplify expressions by combining like terms
 Expand expressions 
Operations with Expressions   Factor Expressions
 Add and Subtract Expressions
 Analyze equivalent Expressions
 Solve multistep expressions 
Solve problems using Equations   Write two step equations
 Solve two step equations
 Solve Equations using Distributive Property
 Graph solutions to equations on a number line

Solve Inequalities   Add and Subtract Inequality Equations
 Multiply and Divide Inequality Equations
 Solve two step inequalities
 Solve Multistep inequalities
 Graph solutions to inequalities on a number line

Functions   Introduce functions
 Visualize constant rate of change as slope
 Identify functions and linear vs. nonlinear

Quarter 3 

Geometry
Measurement


Scale Drawings   Find scale factor of figures
 Solve Problems involving scale drawings
 Identify types of angles

Solve Problems with Polygons   Draw triangles with given conditions
 Solve problems involving angle relationships
 Polygons
 Quadrilaterals

Perimeter and Area   Find area of triangle, trapezoid, parallelogram, and other polygons

Circles   Circumference and Area of a Circle

Nets and Cross Sections   Nets of 3D figures
 Describe Cross Section

Surface Area and Volume of 3D figures   Use proportions to convert between different areas of measurement
 Use proportionality to solve Surface Area and Volume
 Use proportions to measure similar figures

Quarter 4 

Data Analysis 

Data Interpretation   Identify Populations and Samples
 Draw Inferences from Data
 Create surveys
 Determine if a sample is biased vs. unbiased

Populations   Make Comparative Inferences about populations
 Draw mathematical models

Graphs   Create data displays
 Histograms
 Circle Graphs
 Scatter Plots
 Box and Whisker Plots

Statistics
  Calculate Mean, Median, Mode, Range
 Show comparisons and differences in data sets by graphs and tables
 Outliers
 Compare distribution of data and variability

Probability   Understand Likelihood and Probability
 Theoretical Probability
 Experimental Probability
 Use probability models

Samples Spaces   Create lists, tree diagrams, and tables

Compound Events   Determine Outcomes of Compound Events
 Find probabilities of Compound Events
 Simulate Compound Events
