7th- Third 9 weeks
7th- Third 9 weeks
This curriculum map is a constantly monitored and edited document by building specific administration and teachers. Changes may occur throughout the school year to stay updated with state requirements. Any questions regarding content should be directed towards the teacher of your child’s class or content area.
Unit 7 Area, Volume, Surface Area, Circumference
Unit 8 Triangles and Angle Relationships
Unit 9 Data and Probability
7.GM.1
*I can draw triangles with given conditions.
*I can recognize and draw a triangle when given three measurements.
*I can determine, through exploration, whether three given side lengths (or angle measures) would form a triangle.
7.GM.2
*I can determine whether two polygons are similar polygons.
*I can show two triangles are similar based on their angle measures.
*I can solve for missing lengths and/or angles within similar polygons.
7.GM.4
*I can use properties of supplementary, complementary, vertical, and adjacent angles in multi-step problems.
*I can write and solve simple equations for an unknown angle in a figure.
*I can identify types of angles in the context of a real-world problem.
7.GM.5
*I can understand the formulas for the area and circumference of a circle.
*I can use the formulas for circumference and area of a circle to solve problems.
*I can explain the relationship between the circumference and the area of a circle.
7.GM.6
*I can solve problems involving volume of cylinders.
*I can solve problems involving volume of figures composed of right rectangular prisms.
*I can apply the volume formulas for cylinders and figures composed of right rectangular prisms to solve real-world problems.
7.GM.7
*I can use nets to find the surface area of right rectangular prisms and cylinders.
*I can solve problems involving the surface area of cylinders.
*I can solve problems involving the surface area of right rectangular prisms.
7.DSP.1
I can understand why generalizations made about a population from a sample are only valid if the sample represents that population.
*I can identify when random sampling has or has not occurred.
*I can verify whether a sample is representative of a given population.
7.DSP.2
*I can understand that inferences about a population can be made by examining a sample.
*I can use data from a random sampling to draw conclusions about a population.
*I can generate multiple samples to gauge predictions.
7.DSP.3
*I can find similarities and differences in two different data sets.
*I can compare and draw conclusions from two populations based on their means, medians and/or range, interquartile range, or mean absolute deviation.
*I can find, use, and interpret various measures of center.
*I can find, use, and interpret various measures of spread.
7.DSP.4
*I can compare two data distributions represented by line plots or box plots.
*I can compare two sets of data within a single data display such as a line plot or box plot.
*I can identify outliers.
*I can describe the affect an outlier has on the mean and/or median
7.DSP.5
*I understand the probability of an event ranges from 0, impossible, to 1, certain, with various levels of likelihood in between.
*I can understand that an event that is equally likely or equally unlikely has a probability of about 0.5 or 1/2.
*I can categorize and order the probabilities of events by their likelihood.
*I can use words like impossible, very unlikely, unlikely, equally unlikely/unlikely, very likely, and certain to describe the probabilities of events.
7.DSP.6
*I can collect data to approximate probability.
*I can use probability to predict the number of times an event will occur.
7.DSP.7
*I can identify outcomes based on a possible event.
*I can create a tree diagram to represent the sample space of simple events.
*I can investigate, develop, and use probabilities to help me solve problems.
*I can compare theoretical probabilities to observed frequencies.
*I can develop a probability model and use it to determine the probability of an event occurring.
7.GM.1:Draw triangles (freehand, with ruler and protractor, and using technology) with given conditions from three measures of angles or sides, and notice when the conditions determine a unique triangle, more than one triangle, or no triangle.
7.GM.2: Identify and describe similarity relationships of polygons including the angle-angle criterion for similar triangles, and solve problems involving similarity.
7.GM.4:Solve real-world and other mathematical problems that involve vertical, adjacent, complementary, and supplementary angles.
7.GM.5:Understand the formulas for area and circumference of a circle and use them to solve real-world and other mathematical problems; give an informal derivation of the relationship between circumference and area of a circle.
7.GM.6: Solve real-world and other mathematical problems involving volume of cylinders and three-dimensional objects composed of right rectangular prisms.
7.GM.7:Construct nets for right rectangular prisms and cylinders and use the nets to compute the surface area; apply this technique to solve real-world and other mathematical problems.
7.DSP.1: Understand that statistics can be used to gain information about a population by examining a sample of the population and generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences
7.DSP.2:Use data from a random sample to draw inferences about a population. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.
7.DSP.3: Find, use, and interpret measures of center (mean and median) and measures of spread (range, interquartile range, and mean absolute deviation) for numerical data from random samples to draw comparative inferences about two populations.
7.DSP.4:Make observations about the degree of visual overlap of two numerical data distributions represented in line plots or box plots. Describe how data, particularly outliers, added to a data set may affect the mean and/or median.
7.DSP.5: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Understand that a probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event. Understand that a probability of 1 indicates an event certain to occur and a probability of 0 indicates an event impossible to occur.
7.DSP.6: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its relative frequency from a large sample.
7.DSP.7: Develop probability models that include the sample space and probabilities of outcomes to represent simple events with equally likely outcomes. Predict the approximate relative frequency of the event based on the model. Compare probabilities from the model to observed frequencies; evaluate the level of agreement and explain possible sources of discrepancy.
Please use Khan Academy videos as a resource.
Please use IXL for extra practice.
Please refer to my Canvas page additional notes and examples.