Accelerated 7/8 Grade Math
Course Title: Accelerated 7/8 Grade Math (Click here for printable version)
Course Description
The Accelerated 7th/8th grade Math course uses comprehension, precision, and application skills to learn mathematical concepts/processes. The primary objective of the course is to teach students to think like mathematicians who become well-informed, problem solving citizens. Students will examine concepts covered in the Big Ideas textbook. This course is rigorous in its pace and volume of content as it is a combination of all concepts covered in 7th and 8th grade.
Power Standards
- Comprehend vocabulary and explain mathematical processes.
- Compute with precision “naked number” problems showing work step by step.
- Apply and interpret word problems and concepts.
Course Outline
Semester One: Equations, Transformations, Angles & Triangles, and Graphing & Writing Linear Equations
| Guiding Questions |
Learning Objectives |
- How can you use inductive reasoning to discover rules in mathematics and test it?
- How can you manipulate figures in a coordinate plane?
- How can you recognize and graph a linear equation?
- How do we use rational numbers to make sense of the world around me?
- How do we use expressions and equations to create and construct understanding real-life scenarios?
- How do we use ratios and proportional reasoning to analyze fairness and make prediction about the future?
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- Analyze and solve linear equations
- Understand congruence and similarity using physical models, transparencies, or geometry software
- Understand congruence and similarity using physical models, transparencies, or geometry software
- Understand the connections between proportional relationships, lines, and linear equations
- Analyze and solve linear equations
- Apply and extend 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
- Analyze proportional relationships and use them to solve real-world and mathematical problems
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Summative Projects: Unit Exams
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Semester Two: Systems of Linear Equations, Functions, Real Numbers & the Pythagorean Theorem, Volume & Similar Solids, Data Analysis & Displays, and Exponents & Scientific Notation
| Guiding Questions |
Learning Objectives |
- How can you solve a system of linear equations?
- How can you recognize and represent a function?
- How can you use the Pythagorean Theorem to find the side lengths of a triangle?
- How can you find the volume of a figure?
- How can you collect and analyze data?
- How can you use inductive reasoning to observe patterns and write general rules involving properties of exponents?
- How do I use geometry to analyze the shapes in the world?
- How do I use statistics and probability to interpret and draw conclusions about the world?
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- Understand the connections between proportional relationships, lines, and linear equations
- Analyze and solve linear equations and pairs of simultaneous equations
- Define, evaluate, and compare functions
- Use functions to model relationships between quantities.
- Work with radicals and integer exponents
- Understand the connections between proportional relationships, lines, and linear equation.
- Know that there are numbers that are not rational, and approximate them by rational numbers
- Understand congruence and similarity using physical models
- Understand and apply the Pythagorean Theorem to solve real-world and mathematical problems
- Understand congruence and similarity using physical models, transparencies, or geometry software
- Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres
- Investigate patterns to analyze and display data.
- Work with radicals and integer exponents
- Understand the connections between proportional relationships
- Analyze and solve expressions
- 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
- Investigate chance processes and develop, use, and evaluate probability models
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Summative Projects: Unit Exams
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| Career and Life Skills |
| Social and Cross Cultural |
The student respects and contributes to the diverse learning community by:
- Honoring the ideas and opinions of others and
- Interacting effectively and appropriately with others
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Productivity and Accountability
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The student takes ownership of work and actions by:
- Completing assignments on time
- Arriving prepared and on time
- Managing time
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Initiative and Self Direction
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The student demonstrates independence by:
- Self-advocating for assistance or resources
- Persevering through rigorous/challenging tasks
- Utilizing feedback
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