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Seventh Grade Math Alignment

 Review Standard Description Introduce Practice Master Review Add, Subtract, Multiply & Divide fractions and decimals with and without common denominators x x Review Add & Subtract whole numbers with regrouping strategies through the millions x x Review Identify and name values ranging from hundred thousandths to trillions x x Review Multiply and divide (long division) whole numbers through the millions x x Review Memorization of addition, subtraction and multiplication facts x x Review Conversion of measurement units within a measurement system x x Review Area and perimeter (circumference) of squares, rectangles, triangles & circles x x Review Graph points on a coordinate plane x x Review Apply the properties of operations to simplify calculations x x Review Fluently convert between fractions, decimals, and percents x x Review Solve one-step equations, emphasizing the idea of maintaining equality on both sides of an equation. x x
 Standard Number Standard Description Introduce Practice Master 7.1 Number and Operations and Algebra: Develop an understanding of operations on operations on all rational numbers and solving linear equations. 7.1.1 Develop, analyze, and apply models (including everyday contexts), strategies, and procedures to compute with integers, with an emphasis on negative integers. x x x 7.1.2 Extend knowledge of integers and positive rational numbers to solve problems involving negative rational numbers. x x x 7.1.3 Develop and use strategies to estimate the result of rational number computations and justify the reasonableness of results. x x x 7.1.4 Apply properties of rational numbers and algebra to write and solve linear equations in one variable. x x x 7.2 Number and Operations, Algebra and Geometry: Develop an understanding of and apply proportionality, including similarity. 7.2.1 Represent proportional relationships with coordinate graphs and tables, and identify unit rate as the slope of the related line. x x 7.2.2 Apply ratio and proprtionality to solve problems, including percent and simple probability. x x 7.2.3 Use coordinate graphs, tables and equations to distinguish proportional relationships, including inverse proportionality. x x 7.2.4 Develop and use scale factors and proportional relationships to solve problems, including similar and congruence. x x x 7.2.5 Convert among different units of measurement to solve problems, including rates. x x 7.2.6 Apply scale factor to analyze the change in one measure (e.g., length, area, volume) affects another. x x x 7.3 Measurement and Geometry: Develop an understanding of and use formulas to determine surface area and volume. 7.3.1 Use models to explain the reasonableness of formulas for the circumference and area of circles. x x x 7.3.2 Know common estimates of pi and use these values to estimate and calculate the circumference and area of a circle. x x x 7.3.3 Solve problems involving areas and circumferences of circles. x x 7.3.4 Use models to explain the reasonableness of formulas for the surface area of pyramids and cylinders, and the volume of pyramids, cylinders, and cones. x x 7.3.5 Find and justify relationships among the formulas for the areas of different polygons when determining surface area. x x x 7.3.6 Solve problems involving surface areas of pyramids and cylinders and volumes of pyramids, cylinders, and cones. x x 7.3.7 Estimate and compute the area and volume of complex or irregular shapes by dividing them into basic shapes. x x