# Search Frameworks

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### STANDARD 7.1.2
Calculate with positive and negative rational numbers, and rational numbers with whole number exponents, to solve real-world and mathematical problems.

Calculate with positive and negative rational numbers, and rational numbers with whole number exponents, to solve real-world and mathematical problems.

### 7.1.2A Applying & Making Sense of Rational Numbers

Benchmarks:### 7.1.2B Problem Solving with Rational Numbers

Benchmarks:### STANDARD 7.2.1
Understand the concept of proportionality in real-world and mathematical situations, and distinguish between proportional and other relationships.

Understand the concept of proportionality in real-world and mathematical situations, and distinguish between proportional and other relationships.

### 7.2.1 Proportional Relationships

Benchmarks:### STANDARD 7.2.2
Recognize proportional relationships in real-world and mathematical situations; represent these and other relationships with tables, verbal descriptions, symbols and graphs; solve problems involving proportional relationships and explain results in the original context.

Recognize proportional relationships in real-world and mathematical situations; represent these and other relationships with tables, verbal descriptions, symbols and graphs; solve problems involving proportional relationships and explain results in the original context.

### 7.2.2B Problem Solving with Proportions

Benchmarks:### 7.2.2C Represent: Equations & Inequalities

Benchmarks:### STANDARD 7.2.3
Apply understanding of order of operations and algebraic properties to generate equivalent numerical and algebraic expressions containing positive and negative rational numbers and grouping symbols; evaluate such expressions.

Apply understanding of order of operations and algebraic properties to generate equivalent numerical and algebraic expressions containing positive and negative rational numbers and grouping symbols; evaluate such expressions.

### 7.2.3 Numerical and Algebraic Expressions

Benchmarks:### STANDARD 7.2.4
Represent real-world and mathematical situations using equations with variables. Solve equations symbolically, using the properties of equality. Also solve equations graphically and numerically. Interpret solutions in the original context.

Represent real-world and mathematical situations using equations with variables. Solve equations symbolically, using the properties of equality. Also solve equations graphically and numerically. Interpret solutions in the original context.

### 7.2.4 Represent and Solve Equations

Benchmarks:### STANDARD 7.3.1
Use reasoning with proportions and ratios to determine measurements, justify formulas and solve real-world and mathematical problems involving circles and related geometric figures.

Use reasoning with proportions and ratios to determine measurements, justify formulas and solve real-world and mathematical problems involving circles and related geometric figures.

### 7.3.1A Circumference & Area of Circles & Sectors

Benchmarks:### What Are Frameworks?

Frameworks are resources developed to help teachers translate the Minnesota state standards into classroom practice and assist in student achievement of those standards. Please download and review the focus and structure of the mathematics and/or science standards, then use the search features of this site to find the resources that will best answer your specific standard questions.