Grade 7 Mathematics

Required Materials:

You will need the following items to complete this course:

• Printer

Syllabus:

Segment One 

• Solve problems by rewriting rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals, and percentages
• Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to whole number exponents and rational number bases, with procedural fluency
• Add, subtract, multiply, and divide rational numbers
• Solve real-world problems involving any of the four operations with rational numbers
• Solve mathematical problems using multi-step order of operations with rational numbers including grouping symbols, whole-number exponents, and absolute value
• Apply properties of operations to add and subtract linear expressions with rational coefficients
• Determine whether two linear expressions are equivalent
• Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically
• Write and solve two-step equations in one variable, where all terms are rational numbers
• Determine whether two quantities have a proportional relationship by examining a table, graph, or written description
• Translate any representation of a proportional relationship to a written description, table, or equation
• Determine the constant of proportionality given a table, graph, or written description of a proportional relationship
• Graph proportional relationships from a table, equation, or a written description
• Solve problems involving proportional relationships
• Solve problems involving the conversion of units across different measurement systems
• Solve multi-step, real-world percent problems
• Apply ratios to solve real-world problems involving proportions

Module 01: Numerical Expressions

• 01.00 Numerical Expressions Introduction
• 01.00 Numerical Expressions Pretest
• 01.01 Rewriting Rational Numbers
• 01.02 Adding and Subtracting Rational Numbers
• 01.03 Multiplying Rational Numbers
• 01.04 Dividing Rational Numbers
• 01.05 Order of Operations
• 01.06 Laws of Exponents with Whole Number Exponents

Module 02: Algebraic Equations and Inequalities

• 02.00 Algebraic Equations and Inequalities Introduction
• 02.00 Algebraic Equations and Inequalities Pretest
• 02.01 Adding and Subtracting Linear Expressions
• 02.02 Equivalent Linear Expressions
• 02.03 Solving Two-Step Equations
• 02.04 Writing Two-Step Equations
• 02.05 One-Step Inequalities

Module 03: Proportional Relationships

• 03.00 Proportional Relationships Introduction
• 03.00 Proportional Relationships Pretest
• 03.01 Proportional Relationships
• 03.02 Constant of Proportionality
• 03.03 Graphing Proportional Relationships
• 03.04 Real-World Proportional Problems
• 03.05 Proportions
• 03.06 Converting Between Systems
• 03.07 Multi-Step Percent Problems
• 03.08 Proportional Relationships Practice Exam

Segment Two 

• Construct, display, and interpret data in circle graphs
• Choose and create an appropriate graphical representation given a real-world numerical or categorical data set
• Determine an appropriate measure of center or measure of variation to summarize numerical data, represented numerically or graphically, taking into consideration the context and any outliers
• Use the measure(s) of center and measure(s) of variability to make comparisons, interpret results, and draw conclusions about two populations given two numerical or graphical representations of data 
• Use proportional relationships to make predictions about a population given categorical data from a random sample 
• Solve problems involving dimensions and areas of geometric figures, including scale drawings and scale factors
• Apply a formula for the circumference of a circle to solve problems
• Apply a formula to find the area of a circle to solve problems
• Find the surface area of a right circular cylinder using the figure’s net
• Solve problems involving surface area of right circular cylinders
• Solve problems involving volume of right circular cylinders
• Apply formulas to find the areas of trapezoids, parallelograms, and rhombi 
• Solve mathematical or real-world problems involving the area of polygons or composite figures by decomposing them into triangles or quadrilaterals 
• Determine the sample space for a simple experiment 
• Find the theoretical probability of an event related to a simple experiment 
• Interpret the likelihood of a chance event occurring and compare the probabilities of chance events 
• Find experimental probabilities and compare them to theoretical probabilities

Module 04: Probability

• 04.00 Probability Introduction
• 04.00 Probability Pretest
• 04.01 Sample Spaces
• 04.02 Theoretical Probability
• 04.03 Likelihood
• 04.04 Experimental Probability

Module 05: Geometry

• 05.00 Geometry Introduction
• 05.00 Geometry Pretest
• 05.01 Area of Polygons and Composite Figures
• 05.02 Scale Factor
• 05.03 Circumference
• 05.04 Area of Circles
• 05.05 Surface Area of Cylinders
• 05.06 Volume of Cylinders

Module 06: Statistics

• 06.00 Statistics Introduction
• 06.00 Statistics Pretest
• 06.01 Circle Graphs
• 06.02 Creating Graphical Representations
• 06.03 Appropriate Measures
• 06.04 Comparing Data
• 06.05 Making Predictions