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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  
 
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