Mathematics Entry Points of Grade 7

Grade 7
Learning Standards as written							Essential and Prioritized Skills
Patterns, Relations, and Algebra	7PRA6					Write and solve two -step linear equations and check the answers.	♦ Solve linear equations and check answers
Less Complex				Possible Entry Points			More Complex
The student will: ♦ Identify a linear equation ♦ Identify the variables in a linear equation.				The student will: ♦ Check the answer to an equation ♦ Write a linear equation using manipulatives ♦ Solve a linear equation using manipulatives			The student will: ♦ Solve one- step linear equations using manipulatives and check the answer ♦ Solve two-step linear equations using manipulatives and check the answer Example: 5x = 20 x = 20/5 x = 4
General Education Example

Grade 7
Learning Standards as written							Essential and Prioritized Skills
Patterns, Relations, and Algebra		7PRA7			Identify, describe, and analyze linear relationships between two variables . Compare positive rate of change (e.g., y = 3x + 1) to negative rate of change (e.g., y = – 3x + 1).		♦ Analyze linear relationships between two variables
Less Complex				Possible Entry Points			More Complex
The student will: ♦ Identify linear relationships ♦ Identify variables in a linear relationship ♦ Complete a table for a linear relationship Example: y = 3x + 1				The student will: Using a number line and/or manipulatives describe linear relationships: ♦ Solve a linear equation ♦ Describe a pattern of rate of change ♦ Draw a graph of a linear relationship			The student will: ♦ Analyze linear relationships using a graph ♦ Using a number line or manipulatives, complete a table solving for x and y and describe the pattern ♦ Compare positive rate of change to negative rate of change (see example below)
Grade 7
Learning Standards as written							Essential and Prioritized Skills
Data Analysis Statistics & Probability		7DASP1			Find, describe, and interpret appropriate measures of central tendency (mean, median, and mode) and spread (range) that represent a set of data.		♦ Calculate and interpret central tendency
Less Complex				Possible Entry Points			More Complex
The student will: ♦ Match a set of data to its graphical representation ♦ Define the terms median , mean, mode, maximum, minimum, and/or range				The student will: ♦ Answer questions about a set of data (e.g., did more people bring lunch or buy lunch?) ♦ Given a representative data sample and conclusions, select the most likely conclusion ♦ Answer questions about measures of central tendency of given data sets and graphic representation. (mean, median, and mode) ♦ Use a template or task analysis to determine the mean (average) of a data set. ♦ Using a calculator, find the mean for a set of scores			The student will: ♦ Use a calculator to find the mean of a data set and make observations about the data set ♦ Use task analysis to determine the range and answer yes/no questions about range ♦ Determine the mean and median
Grade 7
Learning Standards as written							Essential and Prioritized Skills
Data Analysis, Statistics & Probability		7DASP2			Select, create, interpret, and use various tabular and graphical representations of data (e.g., circle graphs , Venn diagrams, stem-and-leaf plots, histograms, tables, and charts)		♦ Select, create, interpret, and use tables, charts or graphs to represent data
Less Complex				Possible Entry Points			More Complex
The student will: ♦ Match a set of data to its graphical representation ♦ Answer questions about data presented on graphs and charts. ♦ Identify different ways to collect data				The student will: ♦ Classify data based on similarities and differences using a graphic organizer ♦ Given a representative data sample and conclusions, select the most likely conclusion ♦ Identify and label a variety of tabular and graphical representations ♦ Answer questions about a specified data set presented in a chart ♦ Answer questions based on a Venn diagram.			The student will: ♦ Collect and represent a data sample and make observations about data ♦ Make a graph and answer questions based on the data (e.g., make a graph of student attendance based on the daily attendance chart and indicate who came to school the most)
General Education Example

Grade 7
Learning Standards as written							Essential and Prioritized Skills
Data Analysis, Statistics & Probability		7DASP4			Use tree diagrams, tables, organized lists, and area models to compute probabilities for simple compound events (e.g., multiple coin tosses or rolls of dice).		♦ Compute probabilities
Less Complex			Possible Entry Points				More Complex
The student will: ♦ Identify a tree diagram or a data table.			The student will: ♦ Answer questions about the completed probability activity using your data ♦ Use various ways to display a data set for determining probability ♦ Match the probability to the correct data ♦ Use a table to tally and record the results of a compound event (e.g., multiple coin tosses or rolls of dice).				The student will: ♦ Determine the probability of an event occurring using strategies or graphic organizers ♦ Answer questions about the data collected and compute the probability of specific events occurring ♦ Determine the probability of an event occurring using a tree diagram to demonstrate the possible combinations (e.g., how many ways can you combine three types of ice cream toppings with two flavors of ice cream?) Examples: coin toss, roll of a die, spinner, etc.
General Education Example