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Grade 6 Mathematics
Description
The course is designed to engage students at every turn. Students have the opportunity to demonstrate their knowledge of number manipulation by applying it to real-world scenarios. The course is packed with games that reinforce content and let students practice the skills they have learned throughout the course. Tidbits of trivia and activities throughout the course leave students with a smile.
Pre-Requisites: Recommended for 6th grade
Credits: 1.0
Estimated Completion Time: 2 segments/32-36 weeks
Major Topics and Concepts
Segment One Concepts
Module 01: Decimals and Fractions
- Adding and Subtracting Decimals
- Multiplying Decimals
- Division
- Division of Fractions
- Unit Cubes and Volume
Module 02: Ratios and Rate Reasoning
- Understanding a Ratio
- The Unit Rate
- Equivalent Ratios
- Percentages
- Measurements
- Unit Conversions
Module 03: Rational Numbers
- Greatest Common Factor
- Least Common Multiple
- Positive and Negative Numbers
- The Number Line
- Ordering of Numbers
- The Absolute Value
Module 04: The Coordinate Plane
- Ordered Pairs
- Plotting on the Coordinate Plane
- Ratios and the Coordinate Plane
- Applications with Coordinates
Segment Two Concepts
Module 05: Area
- Area of Triangles
- Area of Quadrilaterals
- Area of Polygons
- Shapes on the Coordinate Plane
- Surface Area of Prisms
- Surface Area of Pyramids
Module 06: Expressions
- Numerical Expressions
- Algebraic Expressions
- Parts of Expressions
- Evaluating Algebraic Expressions
- Algebraic Properties
- Equivalent Expressions
Module 07: Equations
- Solutions to Equations and Inequalities
- Applications with Expressions
- Solving Equations
- Inequalities
- Dependent and Independent Variables
Module 08: Understanding Data
- Statistical Questioning
- Measurements of Data
- Dot Plots and Histograms
- Box Plots
- Summarizing Data
- Data with Outliers
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Grade 7 Mathematics
Description
This course is designed to expand student knowledge about the transformation of shapes by sliding, flipping, rotating, and enlarging them on a coordinate plane. This course gives students the opportunity to create, investigate, and demonstrate knowledge at both intermediate and advanced levels. Students will be amazed by the skills that they accumulate while completing this course. This course is so full of animations, applications, videos, games, and real-world scenarios, students may think it is the latest video game.
Pre-Requisites: Recommended for 7th grade
Credits: 1.0
Estimated Completion Time: 2 segments / 32-36 weeks
Major Topics and Concepts
Module 1: Rational Numbers
- The Number Line
- Adding and Subtracting Rational Numbers
- Multiplying Rational Numbers
- Strategies for Rational Numbers
- Irrational Numbers
- Approximating Rational Numbers
Module 2: Application of Rational Numbers
- Dividing Rational Numbers
- Converting Rational Numbers
- Rational Numbers in the Real World
- Exponents
- Operations with Roots
- Scientific Notation
- Operations with Scientific Notation
Module 3: Equations and Inequalities
- Expanding and Simplifying Expressions
- Applications of Expressions
- Equations
- Inequalities
- Linear Equations
- Systems of Equations
Module 4: Proportions
- Unit Rates
- Characteristics of a Proportion
- Proportionality and Equations
- Applications of Ratios
- Applications of Percents
- Graphing Proportional Relationships
- Slope-Intercept Form
Module 5: Geometry
- Scale Drawings
- Angles and Triangles
- Circles
- 3-D Figures and Cross Sections
- Transformations
- Congruency
- Transformations and the Coordinate Plane
- Transversals and Angles
Module 6: Probability of Simple Events
- Understanding Probability
- Approximating Probability
- Probability Models
- Data Observation
- Pythagorean Theorem
- Applications of the Pythagorean Theorem
- Pythagorean Theorem on the Coordinate Plane
- Formulas
Module 7: Probability of Compound Events
- Representing Sample Spaces
- Understanding Compound Events
- Probability Simulations
- Introductions to Functions
- Understanding Linear Functions
- Applications of Functions
- Analyzing Functions
Module 8: Statistics
- Samples and Inferences
- Statistical Variability and Comparing Populations
- Applications of Statistics
- Scatter Plots
- Line of Best Fit
- Interpreting Lines
- Frequency Tables
