7th Grade Curriculum

The 7th grade Curriculum including Student I CAN statements (Learning Targets)

Unit 1 - Shapes and Designs

- I can construct a triangle given a combination of 3 measures of angles or sides.
- I can notice the conditions of a unique triangle, more than one triangle, or no triangle.
- I can distinguish between adjacent and vertical angles.
- I can identify complementary and supplementary angles.
- I can write and solve an equation to find the measure of an unknown angle.
- I can write and solve and equation to represent perimeter and/or area of polygons.

- I can understand that the absolute value of a number is its distance from zero.
- I can understand the relationship between a positive or negative number and its opposite (additive inverse).
- I can understand the relationship between a positive or negative number, a, and it multiplicative inverse, b, where a x b =1.
- I can locate rational numbers on a number line.
- I can compare and order rational numbers.
- I can use a number line, positive/negative chips, heaps/holes, or another manipulative to develop rules for adding and subtracting rational numbers.
- I can use the Associate and Commutative Properties for addition and subtraction.
- I can apply the Distributive Property with positive and negative numbers to simplify expressions and solve problems.

Unit 3 - Stretching and Shrinking

- I can identify similar figures by comparing corresponding parts.
- I can use scale factors and ratios to describe relationships among the side lengths of similar figures.
- I can use the scale factor to create a similar scale drawing.
- I can predict the ways that stretching and shrinking a figure affects length, angle measures, perimeters, and areas.
- I can understand the relationship between equivalent ratios and similar figures.
- I can use the properties of similarity to find distances and heights that you cannot measure directly.

**Unit 4 - Comparing and Scaling**

**I can make comparisons using ratios, percents, fractions, rates, or differences.****I can use long division to convert a rational number to a decimal.****I can find equivalent forms of given rations and rates to scale comparisons up and down.****I can find and interpret unit rates, and use them to make comparisons.****I can identify the unit rate as the constant of proportionality and write equations.****I can identify if two quantities in a table, graph, or equation are proportional.****I can set up and solve proportions, using scaling or equivalency.****I can use words to explain the relevance of a specific point on the graph of a proportional relationship.**

Unit 5 - Moving Straight Ahead

- I can recognize linear relationships.
- I can represents a proportional relationship with an equation, table, graph, and story.
- I can identify the unit rate as the constant of proportionality.
- I can construct tables, graphs, and equations to express linear relationships.
- I can change one representation, (table, graph, equation, or story) of a linear relationship to another representation.
- I can use words to explain the relevance of a specific point in a graph and table.
- I can use tables, graphs, and equations of a linear relationship to answer questions.
- I can solve linear equations.
- I can write algebraic expressions and equations symbolically based on real-world or mathematical problems.

- I can understand volume as a measure of filling an object and surface area as a measure of wrapping an object.
- I can develop strategies for finding the volume and surface area of prisms and pyramids.
- I can solve real-world problems involving surface area and volume.
- I can understand that three-dimensional figures have the same volume but different surface areas.
- I can name the two-dimensional figure that represents a particular slice of a three-dimensional figure.
- I can understand the relationship between the radius and diameter of a circle.
- I can understand the ratio of circumference to diameter equals pi.
- I can apply the formulas for area and circumference of a circle to real-world and mathematical problems.

Unit 7 - What Do You Expect?

- I can interpret and explain that probabilities are expressed as a number between 0 to 1; where 0 is unlikely to occur, 1/2 is as equally likely to occur and not occur, and 1 is likely to occur.
- I can define the probability as a ratio that compares favorable outcomes to all possible outcomes.
- I can recognize that the sum of all possible outcomes for an event (likely and unlikely) is 1 or 100%.
- I can use probability to predict the number of ties a particular event will occur given a specific number of trials.
- I can explain the relationships between the experimental probability and the theoretical probability.
- I can develop and utilize a simulation to determine the probability of equally likely events.
- I can create a sample space of all possible outcomes for a compound event by using an organized list, a table, an area model, or a tree diagram.
- I can use the sample space to determine the probability of the compound event.
- I can design and utilize a simulation to predict the probability of a compound event.

Unit 8 - Samples and Populations

- I can explain that inferences about a population can be made by examining a sample.
- I can explain that random sampling tends to produce representative samples of a population.
- I can evaluate if a sample is a valid representation of a population.
- I can draw inferences about a population based on data generated by a random sample.
- I can collect and use multiple samples of data to make generalizations about a population.
- I can find the difference in the mean or median of two different data sets.
- I can demonstrate how two data sets that are very different can have similar variabilities.
- I can draw inferences about the data sets be making a comparison using the mean absolute deviation.
- I can draw inferences about the data sets by making a comparison using the interquartile range.
- 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 sets.