Link to Advanced Applications curriculum map
A full year study of applied arithmetic, pre-algebra, and pre-geometry focusing on arithmetic operations in mathematics and the real world. An accelerated course that includes both Grade 7 and Grade 8 concepts that enables students to begin Algebra 1 after completion. This is a very fast moving class, with many topics to cover.
GRADE 7 Curriculum Topics
Upon completion of this course, students should be able to:
Use integers and complete operations with integers and rational numbers, including using the Order of Operations.
Use diagrams and equal ratios to represent part-whole relationships.
Use percents and scale factors to determine percent increase or decrease, discounts, and markups.
Simplify variable expressions by combining like terms and using the Distributive Property.
Solve linear equations, including those with fractional coefficients and those with no solutions or infinitely many solutions.
Solve and graph one-variable inequalities.
Compare experimental and theoretical probabilities.
Distinguish between dependent and independent events and calculate the probability of compound independent events.
Represent probabilities of multiple events using systemic lists, area models, or tree diagrams.
Design, conduct, and analyze surveys.
Collect and compare data and describe the distribution of sets of data.
Describe angles, angle pairs, and their measures.
Compute area and perimeter of standard and compound shapes.
Grade 8 Curriculum Topics
Upon completion of this course, students should be able to:
Represent a linear function with a graph, table, rule, and context and create any representation when provided one of the others.
Solve systems of equations by using tables and graphs.
Symbolically manipulate expressions to solve problems including those with fractional coefficients.
Solve contextual word problems using multiple strategies, including making tables, looking for patterns, drawing diagrams, and creating a table of guesses to assist with writing and solving a variable equation.
Represent data using scatterplots and describe associations.
Collect and analyze data and make predictions based on the trend of the data.
Compare ratios and calculate unit rates and slope ratios.
Analyze the slope of a line graphically, numerically, and contextually.
Recognize and solve problems involving proportional relationships.
Graph and analyze non-linear functions.
Recognize and use the properties of similar figures to solve problems.
Use square roots and cube roots.
Represent and simplify expressions using positive and negative exponents.
Represent and compare large and small numbers using standard and scientific notation.
Perform operations with numbers represented in scientific notation.
Use the relationships between angles created by parallel lines with transversals and the Triangle Angle Sum Theorem to solve problems.
Compute the volume of a rectangular prism.