#### 7.1: Students understand and use basic and advanced concepts of number and number systems

7.1.1: Use ratios and proportions to represent relationships

7.1.2: Explain and use percents greater than 100

7.1.3: Use prime factorization to determine the greatest common factor and least common multiple

7.1.4: Use integers to represent and compare quantities

7.1.5: Explain the effects of arithmetic operations on fractions, decimals, and integers

7.1.6: Use order of operations (i.e., parentheses and operations) to simplify numeric expressions

7.1.7: Add, subtract, multiply, and divide fractions and terminating decimals

7.1.8: Solve real-world problems using integers, fractions, decimals, and percents

7.1.9: Estimate the results of problems involving fractions, decimals, and percents

7.1.10: Use proportions to solve problems

#### 7.2: Student understands and applies geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations

7.2.1: Make observations about relationships between two- and three-dimensional figures; e.g., a cube is made with six squares

7.2.2: Classify triangles based on side and angle measurements; i.e., scalene, isosceles, equilateral, acute, obtuse, and right

7.2.3: Draw and label the components of the coordinate plane; i.e., coordinates, quadrants, origin, x- and y-axes

7.2.4: Identify relationships between congruent figures and similar figures

7.2.5: Draw the result of a transformation in the coordinate plane; i.e., translation, reflection, and rotation

7.2.6: Build and sketch three-dimensional solids; e.g., using nets, manipulatives

#### 7.3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems

7.3.1: Formulate a question; collect, organize, and display data using a bar, line, and circle graph

7.3.2: Determine possible outcomes using organized lists, tree diagrams, or Venn diagrams

7.3.3: Formulate hypotheses, conduct probability experiments, and draw conclusions from results

7.3.4: Compute probabilities for simple events

7.3.5: Calculate and compare information provided by the mean, median, mode, and range of a set of data

#### 7.4: Students use concepts and tools of measurement to describe and quantify the world

7.4.2: Convert unit measurements within the same system (metric and standard) when solving problems

7.4.3: Select the appropriate measure of perimeter, area, surface area, or volume to solve a problem

7.4.4: Select and use appropriate tools and units to determine the measurements needed for calculating perimeter, circumference, area, surface area, and volume

7.4.5: Solve problems involving scale factors, using ratio and proportion

7.4.7: Use area formulas to determine the surface area of right cylinders

7.4.8: Use formulas to determine the volume of right cylinders

7.4.9: Determine the area of irregularly shaped objects

#### 7.5: Students use algebraic concepts, functions, patterns, and relationships to solve problems

7.5.1: Create tables and graphs to analyze and describe patterns

7.5.2: Create algebraic expressions and equations to represent word phrases and sentences

7.5.3: Apply the order of operations and the commutative, associative, and distributive properties to evaluate numeric expressions

7.5.4: Use inverse operations and properties of equality to solve one-step equations and inequalities in one variable

7.5.5: Write one-step equations and inequalities to represent problem situations

7.5.6: Graph change over time; e.g., growth, distance, population

Correlation last revised: 5/21/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.