Algebraic Reasoning

Operations and Proportions

• Order of Operations

• Properties of Numbers – CC.7.NS.1

Algebraic Thinking

• Variables and Algebraic Expressions

• Translating Words into Math – CC.7.EE.2

• Simplifying Algebraic Expressions – CC.7.EE.1

Integers and Rational Numbers

Integers

• Integers

• Adding Integers – CC.7.NS.1

• Additive Inverses and Absolute Value – CC.7.NS.1

• Subtracting Integers – CC.7.NS.1

• Multiplying and Dividing Integers – CC.7.NS.2

• Solving Equations Containing Integers – CC.7.NS.4

Rational Numbers

• Equivalent Fractions and Decimals – CC.7 NS.3

• Comparing and Ordering Rational Numbers – CC.7.NS.3

Applying Rational Numbers

Decimals Operations and Applications

• Adding and Subtracting Decimals – CC.7.NS.1

• Multiplying Decimals – CC.7.NS.2

• Dividing Decimals – CC.7.NS.2

• Solving Equations Containing Decimals – CC.7.EE.4

Fractions Operations and Applications

• Adding and Subtracting Fractions – CC.7.NS.1

• Multiplying Fractions and Mixed Numbers – CC.7.NS.2

• Dividing Fractions and Mixed Numbers – CC.7.NS.2

• Solving Equations Containing Fractions – CC.7.EE.4

Proportional Relationships

Ratios, Rates, and Proportions

• Rates – CC.7.RP.2

• Identifying and Writing Proportional – CC.7.RP.2

• Solving Proportions – CC.7.RP.2

Properties in Geometry

• Similar Figures and Properties – CC.7.RP.2

• Using Similar Figures – CC.7.G.1

• Scale Drawings and Scale Models – CC.7.G.1

Graphs

Graphs

• The Coordinate Plane

• Interpreting Graphs

Graphs of Linear Equations

• Slope and Rates of Change – CC.7.RP.1

• Direct Variation – CC.7.RP.2

Precents

Fractions, Decimals, and Percents

• Fractions, Decimals, and Percents – CC.7.EE.3

• Estimating with Percents – CC.7.EE.3

• Using Properties with Rational Numbers – CC.7.EE.2

Applying Percents

• Percents of Change – CC.7.RP.3

• Applications of Percents – CC.7.RP.3

• Similar Integers – CC.7.RP.3

Collecting, Displaying, and Analyzing Data

Organizing and Displaying Data

• Mean, Median, Mode, and Range

• Box-and-Whisker Plots – CC.7.SP.4

• Populations and Samples – CC.7.SP.1

Geometric Figures

Lines and Angles

• Building Blocks and Geometry

• Classifying Angels – CC.7.G.5

• Lines and Angles Relationships – CC.7.G.5

Congruent Figures

• Angles in Polygons – CC.7.G.5

• Congruent Figures – CC.7.G.2

Measurement and Geometry

Perimeter, Circumference, and Area

• Perimeter and Circumference – CC.7.G.4

• Area of Circles – CC.7.G.4

• Area of Irregular Figures – CC.7.G.6

Volume and Surface Area

• Introduction to Three-Dimensional Figures

• Volume of Prisms and Cylinders – CC.7.G.6

• Surface Area of Prisms and Cylinders – CC.7.G.6

Probability

Introduction to Probability

• Probability – CC.7.SP.5

• Experimental Probability – CC.7.SP.6

• Sample Spaces – CC.7.SP.7

• Theoretical Probability – CC.7.SP.8

• Making Predictions – CC.7.SP.8

Applications of Probability

• Probability of Independent and Dependent Events – CC.7.SP.8

• Combinations – CC.7.SP.8

• Permutations – CC.7.SP.8

• Probability of Compound Events – CC.7.SP.8

Multi-Step Equations and Inequalities

Multi-Step Equations

• Solving Two-Step Equations – CC.7.EE.1

• Solving Multi-Step Equations – CC.7.EE.4

• Solving Equations with Variables on Both Sides – CC.7.EE.4

Inequalities

• Inequalities

• Solving Inequalities by Adding or Subtracting – CC.7.EE.4

• Solving Inequalities by Multiplying or Dividing – CC.7.EE.4