## 7th Grade Math

## Mathematical Processes

0706.1.1 Use proportional reasoning to solve mixture/concentration problems. (COMMON CORE: RP.7.1 Analyze proportional relationships and use them to solve real-world and mathematical problems. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.)

0706.1.2 Generalize a variety of patterns to a symbolic rule from tables, graphs, or words. (COMMON CORE: RP.7.2.a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.)

0706.1.3 Recognize whether information given in a table, graph, or formula suggests a directly proportional, linear, inversely proportional, or other nonlinear relationship. (COMMON CORE: RP.7.2 Analyze proportional relationships and use them to solve real-world and mathematical problems. Recognize and represent proportional relationships between quantities.

RP.7.2.a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

RP.7.2.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

RP.7.2.d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.)

0706.1.4 Use scales to read maps.

0706.1.2 Generalize a variety of patterns to a symbolic rule from tables, graphs, or words. (COMMON CORE: RP.7.2.a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.)

0706.1.3 Recognize whether information given in a table, graph, or formula suggests a directly proportional, linear, inversely proportional, or other nonlinear relationship. (COMMON CORE: RP.7.2 Analyze proportional relationships and use them to solve real-world and mathematical problems. Recognize and represent proportional relationships between quantities.

RP.7.2.a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

RP.7.2.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

RP.7.2.d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.)

0706.1.4 Use scales to read maps.

## Number and Operations

0706.2.1 Simplify numerical expressions involving rational numbers.

0706.2.2 Compare rational numbers using appropriate inequality symbols.

0706.2.3 Use rational numbers and roots of perfect squares/cubes to solve contextual problems. DROPPED!

0706.2.4 Determine the approximate location of square/cube roots on a number line. DROPPED!

0706.2.5 Solve contextual problems that involve operations with integers.

0706.2.6 Express the ratio between two quantities as a percent, and a percent as a ratio or fraction. (COMMON CORE: RP.7.3 Analyze proportional relationships and use them to solve real-world and mathematical problems. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.)

0706.2.7 Use ratios and proportions to solve problems. (COMMON CORE: RP.7.2.c Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.)

0706.2.2 Compare rational numbers using appropriate inequality symbols.

0706.2.3 Use rational numbers and roots of perfect squares/cubes to solve contextual problems. DROPPED!

0706.2.4 Determine the approximate location of square/cube roots on a number line. DROPPED!

0706.2.5 Solve contextual problems that involve operations with integers.

0706.2.6 Express the ratio between two quantities as a percent, and a percent as a ratio or fraction. (COMMON CORE: RP.7.3 Analyze proportional relationships and use them to solve real-world and mathematical problems. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.)

0706.2.7 Use ratios and proportions to solve problems. (COMMON CORE: RP.7.2.c Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.)

## Algebra

0706.3.1 Evaluate algebraic expressions involving rational values for coefficients and/or variables.

0706.3.2 Determine whether a relation (represented in various ways) is a function. DROPPED!

0706.3.3 Given a table of inputs x and outputs f(x), identify the function rule and continue the pattern. DROPPED!

0706.3.4 Interpret the slope of a line as a unit rate given the graph of a proportional relationship.

0706.3.5 Represent proportional relationships with equations, tables and graphs.(COMMON CORE: RP.7.2.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.)

0706.3.6 Solve linear equations with rational coefficients symbolically or graphically. (COMMON CORE: EE.7.4.a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?)

0706.3.7 Translate between verbal and symbolic representations of real-world phenomena involving linear equations. (COMMON CORE: EE.7.4.a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?)

0706.3.8 Solve contextual problems involving two-step linear equations.

0706.3.9 Solve linear inequalities in one variable with rational coefficients symbolically or graphically. DROPPED!

0706.3.2 Determine whether a relation (represented in various ways) is a function. DROPPED!

0706.3.3 Given a table of inputs x and outputs f(x), identify the function rule and continue the pattern. DROPPED!

0706.3.4 Interpret the slope of a line as a unit rate given the graph of a proportional relationship.

0706.3.5 Represent proportional relationships with equations, tables and graphs.(COMMON CORE: RP.7.2.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.)

0706.3.6 Solve linear equations with rational coefficients symbolically or graphically. (COMMON CORE: EE.7.4.a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?)

0706.3.7 Translate between verbal and symbolic representations of real-world phenomena involving linear equations. (COMMON CORE: EE.7.4.a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?)

0706.3.8 Solve contextual problems involving two-step linear equations.

0706.3.9 Solve linear inequalities in one variable with rational coefficients symbolically or graphically. DROPPED!

## Geometry and Measurement

0706.4.1 Solve contextual problems involving similar triangles.

0706.4.2 Use SSS, SAS, and AA to determine if two triangles are similar. DROPPED!

0706.4.3 pply scale factor to solve problems involving area and volume.

0706.4.2 Use SSS, SAS, and AA to determine if two triangles are similar. DROPPED!

0706.4.3 pply scale factor to solve problems involving area and volume.

## Data Analysis, Statistics, and Probability

0706.5.1 Interpret and employ various graphs and charts to represent data. DROPPED!

0706.5.2 Select suitable graph types (such as bar graphs, histograms, line graphs, circle graphs, box-and-whisker plots, and stem-and-leaf plots) and use them to create accurate representations of given data. DROPPED!

0706.5.3 Calculate and interpret the mean, median, upper-quartile, lower-quartile, and interquartile range of a set of data.

0706.5.4 Use theoretical probability to make predictions.

0706.5.2 Select suitable graph types (such as bar graphs, histograms, line graphs, circle graphs, box-and-whisker plots, and stem-and-leaf plots) and use them to create accurate representations of given data. DROPPED!

0706.5.3 Calculate and interpret the mean, median, upper-quartile, lower-quartile, and interquartile range of a set of data.

0706.5.4 Use theoretical probability to make predictions.

## Common Core Standards Not Aligned with 7th Grade SPI's

EE.7.3 Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations as strategies to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $250. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

EE.7.4 Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

EE.7.4.b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example, As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

EE.7.4 Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

EE.7.4.b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example, As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.