Accelerated Grade 7
Reveal Math, Accelerated 7, blends together the standards found in courses 2 and 3. This course is designed to prepare the students to take Algebra 1 in the 8th grade. It is intended for students who are ready to master the challenges of an advanced mathematics course and should be recommended by the student's teacher.
This course focuses on the five critical areas:
(1) developing understanding of and applying proportional relationships
(2) developing understanding of operations with rational and irrational numbers
(3) formulating and reasoning about expressions, equations, and inequalities, including modeling an association in bivariate data with linear equations, and solving linear equations and systems of linear equations
(4) grasping the concept of a function and using functions to describe quantitative relationships
(5) analyzing two-and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem
Key Mathematical Understandings
Ratios and Proportional Relationships
- analyze proportional relationships and use them to solve real-world mathematical problems
The Number System
- apply and extend previous understandings of operations with fractions
- know that there are numbers that are not rational and approximate them by rational numbers
Expressions and Equations
- use properties of operations to generate equivalent expressions
- solve real-life and mathematical problems using numerical and algebraic expressions and equations
- work with radicals and integer exponents
- understand the connections between proportional relationships, lines, and linear equations
- analyze and solve linear equations and pairs of simultaneous linear equations
Functions
- define, evaluate, and compare functions
- use functions to model relationships between quantities
Geometry
- 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 of cylinders, cones and spheres
- understand congruence and similarity using physical models, transparencies, or geometry software
- understand and apply the Pythagorean Theorem
Statistics and Probability
- investigate patterns of association in bivariate data
- investigate chance processes and develop, use, and evaluate probability models
