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7th Grade Math
 This symbol identifies a Tennessee
Diploma Project 2008 Standards Awareness Resource
Scope and Sequence
2009-2010
Orchard Correlations
Standard 1 – Mathematical Processes
Glencoe -
Online Student Help and Resources
MrNussBaum.com
Grade Level Expectations:
GLE 0706.1.1 Use mathematical language, symbols, and definitions
while developing mathematical reasoning.
GLE 0706.1.2 Apply and adapt a variety of appropriate strategies to
problem solving, including estimation, and reasonableness of the
solution.
GLE 0706.1.3 Develop independent reasoning to communicate
mathematical ideas and derive algorithms and/or formulas.
GLE 0706.1.4 Move flexibly between concrete and abstract
representations of mathematical ideas in order to solve problems, model
mathematical ideas, and communicate solution strategies.
GLE 0706.1.5 Use mathematical ideas and processes in different
settings to formulate patterns, analyze graphs, set up and solve
problems and interpret solutions.
GLE 0706.1.6 Read and interpret the language of mathematics and use
written/oral communication to express mathematical ideas precisely.
Indirect Measurement Worksheet
Indirect Measurement PowerPoint
Proportion Jeopardy
Classic Concentration
GLE 0706.1.7 Recognize the historical development of mathematics,
mathematics in context, and the connections between mathematics and the
real world.
GLE 0706.1.8 Use technologies/manipulatives appropriately to develop
understanding of mathematical algorithms, to facilitate problem solving,
and to create accurate and reliable models of mathematical concepts.
Checks for Understanding
(Formative/Summative Assessment):
State Performance Indicators:
Standard 2 – Number & Operations
Grade Level Expectations:
GLE 0706.2.1 Extend understandings of addition, subtraction,
multiplication and division to integers.
GLE 0706.2.2 Understand and work with the properties of and
operations on the system of rational numbers.
GLE 0706.2.3 Develop an understanding of and apply proportionality.
Indirect
Measurement Worksheet
Indirect Measurement PowerPoint
Proportion Jeopardy
Classic Concentration
GLE 0706.2.4 Use ratios, rates and percents to solve single- and
multi-step problems in various contexts.
GLE 0706.2.5 Understand and work with squares, cubes, square roots
and cube roots.
GLE 0706.2.6 Introduce the concept of negative exponents.
GLE 0706.2.7 Understand and use scientific notation.
Checks for Understanding
(Formative/Summative Assessment):
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0706.2.1 Understand that the set of rational numbers
includes any number that can be written as a ratio of two integers in
which the denominator is not zero.
Rational Numbers Activities
Rational or Irrational Game
Rational Number Games
Rational Numbers Explanation
Rational or Irrational Game |
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0706.2.2 Develop and analyze algorithms and compute
efficiently with integers and rational numbers.
Algorithm videos
Algorithm song |
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0706.2.3 Recognize that rational numbers satisfy the
commutative and associative laws of addition and multiplication and the
distributive law.
Associative, Commutative, Distributive Laws
Properties Drill
Associative & Commutative PowerPoint
Properties Hangman
Distributive Properties
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0706.2.4 Understand that a and –a are additive inverses
and are located the same distance from zero on the number line; relate
distance from zero to absolute value.
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0706.2.5 Understand that –(–a) = a for any number a.
Algebra for Kids - all operations
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0706.2.6 Use the number line to demonstrate addition
and subtraction with integers.
Number Line Addition and Subtraction
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0706.2.7 Write number sentences to solve contextual
problems involving ratio and percent.
7th Grade Topics incl Ratio & Percent |
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0706.2.8 Apply ratios, rates, proportions and percents
(such as discounts, interest, taxes, tips, distance/rate/time, and
percent increase or decrease).
Proportions and cross product
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0706.2.9 Efficiently compare and order
rational numbers and roots of perfect squares/cubes; determine their
approximate locations on a number line.
Square and Cube Roots PowerPoint
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0706.2.10 Recognize that when a whole number is not a
perfect square, then its square root is not rational and cannot be
written as the ratio of two integers.
Irrational answers
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0706.2.11 Estimate square/cube roots and use calculators
to find approximations.
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0706.2.12 Recognize and
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0706.2.13 Use the meaning of negative exponents to
represent small numbers; translate between scientific and standard
notation.
Negative Exponents
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0706.2.14 Express numbers in scientific notation and
recognize its importance in representing the magnitude of a number.
Large and small numbers in Scientific Notation
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0706.2.15 Report results of calculations appropriately in
a given context (i.e. using rules of rounding, degree of accuracy,
and/or significant digits).
Rounding Decimals Exercise
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State Performance Indicators:
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SPI 0706.2.1 Simplify numerical expressions involving rational
numbers.
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SPI 0706.2.2 Compare rational numbers using appropriate inequality
symbols.
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SPI 0706.2.3 Use rational numbers and roots of perfect
squares/cubes to solve contextual problems.
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SPI 0706.2.4 Determine the approximate location of square/cube
roots on a number line.
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SPI 0706.2.5 Solve contextual problems that involve operations with
integers.
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SPI 0706.2.6 Express the ratio between two quantities as a percent,
and a percent as a ratio or fraction.
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SPI 0706.2.7 Use ratios and proportions to solve problems.
Indirect Measurement Worksheet
Indirect Measurement PowerPoint
Proportion Jeopardy
Classic Concentration
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Standard 3 – Algebra
Grade Level Expectations:
GLE 0706.3.1 Recognize and generate equivalent forms for simple
algebraic expressions.
GLE 0706.3.2 Understand and compare various representations of
relations and functions.
GLE 0706.3.3 Understand the concept of function as a rule that
assigns to a given input one and only one number (the output).
GLE 0706.3.4 Use function notation where f(x)
represents the output that the function f assigns to the input
x.
GLE 0706.3.5 Understand and graph proportional relationships.
GLE 0706.3.6 Conceptualize the meanings of slope using various
interpretations, representations, and contexts.
GLE 0706.3.7 Use mathematical models involving linear equations to
analyze real-world phenomena.
GLE 0706.3.8 Use a variety of strategies to efficiently solve linear
equations and inequalities.
Checks for Understanding
(Formative/Summative Assessment):
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0706.3.1 Perform basic operations on linear expressions
(including grouping, order of operations, exponents, simplifying and
expanding).
Order Of Operations
Interactive Order Of Operations Game
Glencoe Order Of Operations
Simple Order of Operations Interactive
Simplifying Expressions - Algebra |
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0706.3.2 Represent and analyze mathematical situations
using algebraic symbols.
Writing Expressions
Words for Operations
Interactive Equation Matching |
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0706.3.3 Identify a function from a written
description, table, graph, rule, set of ordered pairs, and/or mapping.
Function Machine
Teacher Resources of the Function Machine |
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0706.3.4 Make tables of inputs x and outputs f(x)
for a variety of rules that include rational numbers (including negative
numbers) as inputs.
Function Machine |
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0706.3.5 Plot points to represent tables of linear
function values.
Graphing Points Game – Billy Bug
Graphing Ordered Pairs
Graphing Points Interactive |
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0706.3.6 Understand that the graph of a linear function
f is the set of points on a line representing the ordered pairs
(x, f(x)).
Graphing Linear Functions
Interactive Plotting Points Determining if the Points are a Function |
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0706.3.7 Distinguish proportional relationships (y/x =
k, or y = kx) from other relationships, including inverse
proportionality (xy = k, or y = k/x).
Microsoft Activity
Proportional Reasoning
Proportionality
Inverse Operations
Basic Rules Sheet
Classroom activities
Hrw homework help
Glencoe quiz |
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0706.3.8 Understand slope as the ratio of vertical
change to horizontal change.
Graphing Linear Functions
Interactive Plotting Points Determining if the Points are a Function |
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0706.3.9 Identify a function exhibiting a constant rate
of change as a linear function and identify the slope as a unit rate.
Investigating Linear Functions
Teacher tube video
Classroom activity
Classroom Activity 2
Interactive Slope
Math123xyz |
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0706.3.10 Solve problems involving unit rates (e.g.,
miles per hour, words per minute).
Rate, Speed, Distance
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0706.3.11 Relate the features of a linear equation to a
table and/or graph of the equation.
Investigating Linear Functions
Math123xyz
Excel activity |
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0706.3.12 Use linear equations to solve problems and
interpret the meaning of slope, m, and the y-intercept, b, in f(x)=
mx + b in terms of the context.
Finding the Equation of a Line
PowerPoint on Slope
Graphing Directions
Graphing Directions 2
Hotmath Review
Hotmath Graphing
More Graphing with Hotmath
Writing Equations with given points
Oswego City Schools Review
Graphing Calculator Activity
Equation lesson Skool UK
Algebra Basics
Determining the Slope
Slope video
Slope Worksheet
Y = mx + b song |
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0706.3.13 Given a graph that exhibits the intersection of
a line and the y-axis, write a linear function in slope-intercept form:
y = mx + b.
Glencoe Slope-Intercept Form
Slope Intercept Form Interactive Visual Demonstration |
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0706.3.14 Understand that when solving linear
inequalities, multiplication or division by a negative reverses the
inequality symbol.
Graphing Overview
Math.com practice
PowerPoint |
State Performance Indicators:
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SPI 0706.3.1 Evaluate algebraic expressions involving rational
values for coefficients and/or variables.
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SPI 0706.3.2 Determine whether a relation (represented in various
ways) is a function.
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SPI 0706.3.3 Given a table of inputs x and outputs f(x),
identify the function rule and continue the pattern.
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SPI 0706.3.4 Interpret the slope of a line
as a unit rate given the graph of a proportional relationship.
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SPI 0706.3.5 Represent proportional
relationships with equations, tables and graphs. |
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SPI 0706.3.6 Solve linear equations with rational coefficients
symbolically or graphically.
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SPI 0706.3.7 Translate
between verbal and symbolic representations of real-world phenomena
involving linear
equations.
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SPI 0706.3.8 Solve contextual problems involving two-step linear
equations.
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SPI 0706.3.9 Solve linear inequalities in one variable with
rational coefficients symbolically or graphically.
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Standard 4 – Geometry & Measurement
Grade Level Expectations:
GLE 0706.4.1 Understand the application of proportionality with
similar triangles.
Scale Factor PRETEST PowerPoint
Scale Factor PowerPoint
Similar Shapes and Scale Factor Worksheet
Scale Factor and the Relationship to Area PRETEST - PowerPoint
Scale Factor and the relationship to Area and Volume - PowerPoint
Scale Factor and Area Worksheet
Proportion Jeopardy
Classic Concentration
GLE 0706.4.2 Apply proportionality to converting among different
units of measurements to solve problems involving rates such as motion
at a constant speed.
GLE 0706.4.3 Understand and use scale factor to describe the
relationships between length, area, and volume.
GLE 0706.4.4 Understand and use ratios, derived quantities, and
indirect measurements.
Indirect Measurement Worksheet
Indirect Measurement PowerPoint
Proportion Jeopardy
Classic Concentration
Checks for Understanding
(Formative/Summative Assessment):
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0706.4.1 Solve problems involving indirect measurement
such as finding the height of a building by comparing its shadow with
the height and shadow of a known object.
Measuring a Tree
Do centimeters make me taller
Math in Literature |
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0706.4.2 Use similar triangles and proportionality to
find the lengths of unknown line segments in a triangle.
Regents Prep
Hotmath
HRW practice |
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0706.4.3 Understand that if a scale factor describes
how corresponding lengths in two similar objects are related, then the
square of the scale factor describes how corresponding areas are
related, and the cube of the scale factor describes how corresponding
volumes are related.
Classroom activity
Study stack |
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0706.4.4 Compare angles, side lengths, perimeters and
areas of similar shapes.
HRW Inventory |
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0706.4.5 Solve problems using ratio quantities:
velocity (measured in units such as miles per hour), density (measured
in units such as kilograms per liter), pressure (measured in units such
as pounds per square foot), and population density (measured in units
such as persons per square mile).
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State Performance Indicators:
Standard 5 – Data Analysis,
Statistics, & Probability
Grade Level Expectations:
GLE 0706.5.1 Collect, organize, and analyze both single- and
two-variable data.
GLE 0706.5.2 Select, create, and use appropriate graphical
representations of data.
GLE 0706.5.3 Formulate questions and design studies to collect data
about a characteristic shared by two populations, or different
characteristics within one population.
GLE 0706.5.4 Use descriptive statistics to summarize and compare
data.
GLE 0706.5.5 Understand and apply basic concepts of probability.
Checks for Understanding
(Formative/Summative Assessment):
State Performance Indicators:
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SPI 0706.5.1 Interpret and employ various graphs and charts to
represent data.
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SPI 0706.5.2 Select suitable graph types (such as bar graphs,
histograms, line graphs, circle graphs, box-and-whisker plots, and
stem-and-leaf plots) and use them to create accurate representations of
given data.
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SPI 0706.5.3 Calculate and interpret the mean, median,
upper-quartile, lower-quartile, and interquartile range of a set of
data.
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SPI 0706.5.4 Use theoretical probability to make predictions.
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