# 7th - I Can Statements

## I Can Statements by Unit

Unit 1: Integers - Big Ideas Chapter 1

• I can describe real world situations where opposite quantities have a sum of zero.

• I can use a number line to show that an integer and its opposite will always have a sum of zero.

• I can rewrite a subtraction problem as an addition problem by using the additive inverse.

• I can show that the distance between two integers on a number line is the absolute value of their difference.

• I can interpret the addition of integers by relating the values to real world situations.

• I can describe real world situations represented by the subtraction of integers.

• I can use the properties of operations to add and subtract integers.

• I can describe real world situations represented by multiplying and dividing integers.

• I can use patterns and properties to develop procedures for multiplying and dividing integers.

• I can interpret the quotient in context to the original problem.

• I can solve real world problems that involve the addition, subtraction, multiplication, and/or division of rational numbers.

Unit 2: Integers - Big Ideas Chapter 2

• I can use the properties of operations to add and subtract rational numbers.

• I can use patterns and properties to develop procedures for multiplying and dividing rational numbers.

• I can interpret the quotient in context to the original problem.

• I can use long division to convert a rational number to a decimal.

• I can determine that a number is a rational based on its decimal equivalent.

• I can solve real world problems that involve the addition, subtraction, multiplication, and/or division of rational numbers.

Unit 3: Expressions and Equations - Big Ideas Chapter 3

• I can use commutative and associative properties to add linear expressions with rational coefficients.

• I can use the distributive property to add and/or subtract linear expressions with rational coefficients.

• I can use the distributive property to factor a linear expression with rational coefficients.

• I can use the distributive property to expand a linear expression with rational coefficient.

• I can use equivalent expressions to understand the relationships between quantities.

• I can solve a two-step equation, including the distributive property.

• I can use equivalent expressions to understand the relationship between quantities.

• I can solve real world problems using rational numbers in any form, including those problems involving multiple steps.

• I can apply the properties of operations to fluently compute with rational numbers in any form.

Unit 4: Inequalities - Big Ideas Chapter 4

• I can use a variable to represent an unknown quantity.

• I can write a simple algebraic inequality (in the form px+q>r or px+q<r, where p, q and r are given rational numbers) to represent a real-world problem.

• I can solve a two-step algebraic inequality and graph the solution on a number line.

• I can describe the solution to an inequality in relation to the problem.

Unit 5: Ratios and Proportions - Big Ideas Chapter 5

• I can compute a unit rate by iterating (repeating) or partitioning a given rate.

• I can compute a unit rate by multiplying or dividing both quantities by the same factor.

• I can explain the relationship between using composed units and a multiplicative comparison to express a unit rate.

• I can determine whether two quantities are proportional by examining the relationship given in a table, graph, equation, diagram or as a verbal description.

• I can write an equation that represents a proportional relationship.

• I can use words to explain the relevance of a specific point on the graph of a proportional relationship, including, but not limited to (0, 0) and (1, r).

• I can use proportional reasoning to solve real world ratio problems, including those with multiple steps.

• I can use proportional reasoning to solve real world percent problems including those with multiple steps.

Unit 6: Percents - Big Ideas Chapter 6

• I can use proportional reasoning to solve real world ratio problems, including those with multiple steps.

• I can use proportional reasoning to solve real world percent problems, including those with multiple steps.

• I can apply the properties of operations to fluently compute with rational numbers of any form.

Unit 7: Constructions and Scale Drawings - Big Ideas Chapter 7

• I can use a scale drawing to determine the actual dimensions and area of a geometric figure.

• I can use a different scale to reproduce a similar scale drawing.

• I can draw a geometric shape with specific conditions.

• I can construct a triangle when given three measurements: 3 side lengths, 3 angle measurements, or a combination of side and angle measurements.

• I can determine when three specific measurements will result in one unique triangle, more than one possible triangle, or no possible triangles.

• I can state the relationship between supplementary, complementary and vertical angles.

• I can use angle relationships to write algebraic equations for unknown angles.

• I can use algebraic reasoning and angle relationships to solve multi-step problems.

Unit 8: Circles and Area - Big Ideas Chapter 8

• I can state the formula for finding the area of circle.

• I can state the formula for find the circumference of a circle.

• I can use formulas to compute the area and circumference of a circle.

• I can determine the diameter or radius of a circle when a circumference is given.

• I can use a ratio and algebraic reasoning to compare the area and circumference of a circle.

• I can determine the area of two dimensional figures.

Unit 9: Surface Area and Volume - Big Ideas Chapter 9

• I can name the two dimensional figure that represents a particular slice of a three dimensional figure.

• I can state the formula for finding the area of circle.

• I can state the formula for find the circumference of a circle.

• I can use formulas to compute the area and circumference of a circle.

• I can determine the diameter or radius of a circle when a circumference is given.

• I can use a ratio and algebraic reasoning to compare the area and circumference of a circle.

• I can determine the surface area and volume of three dimensional figures.

• I can solve real world involving real world problems including area, surface area and volume.

Unit 10: Probability and Statistics - Big Ideas Chapter 10

• I can use a sample to gain information, make and compare predictions about a population.

• I can draw inferences about a population based on data generated by a random sample.

• I can generate multiple samples from the same population and analyze the estimates or predictions based on the variation of each sample.

• I can find the mean, median and mode of a data set.

• I can demonstrate how two data sets that are very different can have similar variabilities.

• I can find the standard deviation of a data set.

• I can draw inferences about the data sets by making a comparison of these differences relative to the mean absolute deviation or interquartile range of either set of data.

• I can compare two populations by using the means and/or medians of data collected from random samples.

• I can compare two populations by using the mean absolute deviations and/or interquartile ranges of data from random samples.

• I can define the probability as a ratio that compares favorable outcomes to all possible outcomes.

• I can describe the likelihood of an event (0 to 1).

• I can collect data on a chance process to approximate its probability.

• I can use probability to predict the number of times a particular even will occur given a specific number of trials.

• I can use variability to explain why the experimental probability will not always exactly equal the theoretical probability.

• I can develop a simulation to model a situation in which all events are equally likely to occur.

• I can utilize the simulation to determine the probability of specific events.

• I can determine the probability of events that may not be equally likely to occur, by utilizing a simulation model.

• I can create a sample space of all possible outcomes for a compound event by using an organized list, a table, or a tree diagram.

• I can use the sample space to compare the number of favorable outcomes to the total number of outcomes and determine the probability of the compound event.

• I can design and utilize a simulation to predict the probability of a compound event.

## I Can Statements by Standard

Decimals, Integers, Rational Numbers & Fractions

• I can use long division to covert a rational number to a decimal.

• I can determine that a number is rational based on its decimal equivalent.

• I can describe real world situations where opposite quantities have a sum of zero.

• I can use a number line to show that an integer and its opposite will always have a sum of zero.

• I can rewrite a subtraction problem as an addition problem by using the additive inverse.

• I can describe real world situations represented by the subtraction of integers.

• I can use the properties of operations to add and subtract rational numbers.

• I can describe real world situations represented by multiplying and dividing integers.

• I can explain the closure property for division.

• I can use patterns and properties to develop procedures for multiplying and dividing integers.

• I can interpret the quotient in context to the original problem.

• I can show that the distance between two integers on a number line is the absolute value of their difference.

Equations and Inequalities

• I can use commutative and associative properties to add linear expressions (rational coefficients)

• I can use the distributive property to add and subtract linear expressions (rational coefficients)

• I can use the distributive property to factor and expand a linear expression with rational coefficients.

• I can use equivalent expressions to understand the relationships between the quantities

• I can write and solve equations from a word problem

• I can write and solve inequalities from a real world problem that involve one operation.

• I can graph the solution to an algebraic inequality on a number line.

• I can describe the solution to the algebraic inequality in the context of the problem

• I can solve real world problems using rational numbers, mental math, and estimation strategies to determine if my solution is reasonable.

Ratios, Rates, Proportions

• I can find and compare unit rates with integers and ratios

• I can solve real world problems that involve the addition, subtraction, multiplication, and/or division of rational numbers.

• I can determine whether two quantities are proportional given a table, graph, equation, diagram, or verbal description

• I can identify the constant of proportionality (slope) given a table, graph, equation, diagram, or verbal description

• I can create an equation for a proportional relationship.

• I can use a scale drawing to determine the actual dimensions and areas of a geometric figure.

• I can use a different scale to reproduce a similar scale drawing

• I can use words to explain what a coordinate point means in the context of the problem

Percents

• I can use proportional reasoning to solve real world ratio and percent problems.

Geometry: Angles, Triangles, Area & Surface Area

• I can name the two dimensional figure that represents a particular slice of a three dimensional figure.

• I can find the circumference of a circle.

• I can determine the diameter or radius of a circle when the circumference is given.

• I can find the area of a circle.

• I can compare the area and circumference of a circle.

• I can determine the area of 2 dimensional figures.

• I can solve real-world problems involving area.

• I can determine the surface area of 3 dimensional figures.

• I can solve real-world problems involving surface area.

• I can determine the volume of 3 dimensional figures.

• I can solve real-world problems involving volume.

• I can draw shapes that satisfy given conditions.

• I can construct a triangle when given three measurements (3 side lengths, 3 angle measurements, or a combination)

• I can determine when three specific measurements will result in one, more than one, or no triangles.

• I can state the relationship between supplementary, complementary, and vertical angles.

• I can use angle relationships to write algebraic equations for unknown angles.

• I can use algebraic reasoning and angle relationships to solve multi-step problems

Statistics

• I can use a sample to gain information, make and compare predictions about a population.

• I can find the mean, median and mode of a data set.

• I can find the standard deviation of a data set.

Probability

• I can describe the likelihood of an event (0 to 1).

• I can define probability as a ratio that compares favorable outcomes to all possible outcomes.

• I can find the theoretical probability of an event.

• I can collect data to approximate probability of an event.

• I can find the experimental probability of an event.

• I can explain why experimental probability will not always equal theoretical probability

• I can give an example of a situation in which all events may or may not equally occur.

• I can find all possible outcomes for a compound event by using an organized list, table, or tree diagram.

• I can use the list, table, or tree diagram to find the number of favorable outcomes to the total number of outcomes.

• I can design and use simulations to estimate compound probabilities.