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Course/Grade Levels Units

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Course Code
Content Area
Math 6/7 is an accelerated course that merges Math 6 and part of Math 7 skills and concepts. Instruction will focus on eight critical areas: (1) completing understanding of division of fractions and extending the system of rational numbers to include negative numbers; (2) develop an understanding of absolute value to solve problems involving integers; (3) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (4) developing understanding of and applying proportional relationships; (5) writing and evaluating algebraic expressions; (6) writing and solving one-step inequalities and multi-step equations; (7) developing understanding of relationships among shapes to determine area, surface area, and volume and (8) developing understanding of statistical thinking by analyzing and displaying data distributions.

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Unit Description
1Number Systems
Students will find the prime factorization of a number and the GCF and LCM of two whole numbers.  They will perform operations involving rational numbers in mathematical problems and real world context.
2Area and Volume
The students will find the surface area and volume of prisms and pyramids.
3Algebraic Expressions
Students will write and evaluate algebraic expressions and use properties to find equivalent expressions.
4Ratio, Rates and Proportions
Students will find and interpret the constant of proportionality (unit rate) in tables, graphs, and equations; use proportional relationships to solve ratio problems and use scale drawings to compute actual lengths and areas.
Students will convert between fractions, decimals and percents and solve percent problems including those involving percent of change, discounts, markups, sales tax, tip and original, sale or retail price.
6Integers and the Coordinate Plane
The students will describe quantities with positive and negative numbers, compare and order integers, solve problems involving operations with signed rational numbers and graph ordered pairs in all four quadrants of the coordinate plane. They will draw polygons in the first quadrant of the coordinate plane and find the distance between two points that have the same x-coordinates or the same y-coordinates.
7Algebraic Equations and Inequalities
Students will determine if a value is a solution and write and solve a multi-step equation with variables on only one side of the equation.  They will solve one-& two-step inequalities involving integers and rational numbers and graph the solution for the inequality on a number line. They will write equations to express one quantity in terms of another and analyze this relationship between independent and dependent variables using graphs and tables.
8Displaying and Analyzing Data
The students will find the measures of center (mean, median) and spread (range, IQR, mean absolute value of deviation) for a set of data and use it to answer questions about the data.  They will display and interpret data on a number line and choose appropriate measures of center and variation based on its shape.