Deliverable Skills:

• Analyze proportional relationships and use them to solve real-world and mathematical problems.
• Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
• Use properties of operations to generate equivalent expressions.
• Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
• Draw, construct and describe geometrical figures and describe the relationships between them.
• Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
• Use random sampling to draw inferences about a population.
• Draw informal comparative inferences about two populations.
• Investigate chance processes and develop, use, and evaluate probability models.

Common Core codes	General topics	Worksheets
	Ratios and Proportional Relationships
7RP1		Arithmetic
		Math Games
		Ratio and Proportion
		Proportion
		Percent, Decimal, and Fraction
		Percentage
		Percentage Change
		Percent Error
		Selling Price
		Sales Tax
		Appreciation and Depreciation
		Simple Interest
		Interest Rate
		Compound Interest
		Profit and Loss
		Commission
		Discount
		Markdown
		Markup
		Gratuity
		Solving word problems associated with fractions
7RP2,3		Solving Proportional Relationships between two quantities
		Graphing Percentage
		Pie Graph
		Tape Diagrams
	The Number System
7NS1,23		Substitution Property
		Adding Positive and Negative Fractions
		Subtracting Positive and Negative Fractions
		Dividing Positive and Negative Fractions
		Adding Integers Using the Number Line
		Real Numbers
		Directed Numbers
		Negative Numbers
		Applying the Properties of Equalities Involving Linear Equations
7NS2,3		Converting Rational numbers to decimal using long division
		Recurring Decimals
		Terminating Decimals
		Solving Word Problems Involving Rational numbers
	Expressions and Equations
7EE1,2		Equation
		Formulas
		Midpoint Formula
		Rate of Change Formula
		Algebra
		Factorization
		Algebraic Symbols
		Factoring By Grouping
		Factoring General Trinomials (a=1)
		Factoring Perfect Square Trinomials
		Factoring Difference of Two Squares
		Square of a Binomial
		Additive Inverse
		Interval Notation
		Equivalent Algebraic Expressions
		Addition Property
		Subtraction Property
		Adding and subtracting linear expressions with rational coefficients
		Sum and Difference of Two Terms
		Fibonacci Numbers
		Cubic Numbers
		Factoring Sum and Difference of Two Cubes
7EE3		Factoring and expanding linear expressions with rational coefficients
7EE3,4		Solving word problems involving linear equations and linear inequalities
		Multiplication Property
		Cross Multiplication
		Factoring Simple Polynomials
		Manipulating Simple Polynomials
		Arithmetic Progression
		Multiplication of RAEs with Same Denominators
		Multiplication of Rational Algebraic Expressions with Different Denominators
		Scientific Notations
	Geometry
7G1,2		Euclidean Geometry
		Solving problems involving scale drawings of geometric figures
		Collinear Points
		Shape Transformations
		Similar Shapes
		Congruent Shapes
		Drawing and Describing 2D and 3D Figures
		Platonic Solids
		Octahedron
		Tetrahedron
		Icosahedron
		Dodecahedron
		Cube
		Geometric Nets
		Conic Sections
7G3		Solving Area, Volume, and Surface Area of 2D and 3D Objects
		Surface Area
		Volume of Solid Figures
		Circles
		Semicircle
7G4		Theorems About Circles
		Concentric Circles
		Circumference of a Circle
		Diameter
		Understanding Circumference and Area of a Circle
		Central Angle of a Circle
		Pi
		Arc Length
		Arcs of a Circle
		Clock Angle Formula
		Chord
		Area of a Sector
7G5		Understanding supplementary, complementary, vertical, and adjacent angles
		Angles
		Lines and Angle Theorem
		Protractor
		Vertical Angles
		Adjacent Angles
		Complementary Angles
		Inscribed Angles
		Alternate Angles
		Corresponding Angles
		Angle Bisector
		Heron’s Formula
7G6		Word Problems involving Volumes of Solid Shapes
		Surface Area of Solid Shapes
		Surface Area of a Cube
		Surface Area of a Cuboid
		Surface Area of a Cylinder
		Surface Area of a Cone
		Surface Area of a Hemisphere
		Surface Area of a Sphere
		Lateral Surface Area
		Lateral Surface Area of a Cone
		Lateral Surface Area of a Cylinder
		Lateral Surface Area of a Cube
		Lateral Surface Area of a Pyramid
		Lateral Surface Area of a Prism
		Surface Area of a Pyramid
		Lateral Surface Area of a Sphere
		Surface Area of a Prism
		Lateral Surface Area of a Cuboid
		Lateral Area of a Hemisphere
		Cross-Section of a Prism
		Cross-Section of a Pyramid
	Statistics and Probability
7SP1		Data
		Nominal and Ordinal Data
		Discrete and Continuous Data
		Primary and Secondary Data
		Absolute and Relative Errors
		Understanding Basic Statistical Terms and Sampling Techniques
		Applying concepts of Inferential Statistics (Estimation of Parameters)
		Statistical Questions
		Weighted Average
		Population vs Sample
		Random Sampling
		Sample Space
7SP2		Sample Techniques
		Drawing Inferences about a Population with an Unknown Characteristic
7SP3,4		Measures of Skewness
		Frequency Distribution
		Making Statistical Inferences Using Measures of Central Tendency and Variability
7SP5,6		Fundamental Counting Principle
		Understanding Fundamental Counting Principle and Probability of Events
		Understanding the Probabilities of Simple and Compound Events
7SP7,8		Probability
		Experimental Probability
		Probability of Simple Events
		Probability of Compound Events
		Union, Intersection, and Complement of Events
		Probability Models
		Probability Line
		Conditional Probability
		Box and Whisker Plots
		Stem and Leaf Plots
		Histogram
		Frequency Polygon
		Set and Set Notation
		Equation of a Straight Line

Last Updated: April 2024