Download Month - GrandIslandMathematics

Month
Concept
Decimals


Skill
Round
decimals
Order
decimals
Fraction / Decimal /
Percent Conversions
Integers
S
E
P
T
E
M
B
E
R
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Algebra
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Absolute
Value
Opposites
Order /
Compare
Operations
Writing &
Translating
Evaluating
Expressions
One-step
Equations
Two-step
Equations
Performance Indicators
Vocab
Assessment
Resources
PH Course 2
(chapter 2), Round
It, Jungle Grub
7.R.4 Explain how different
representations express the
same relationship
7.N.13 Add and subtract two
integers (with and without the
use of a number line)
7.N.12 Add, subtract, multiply,
and divide integers
6.A.2 Use substitution to
evaluate algebraic expressions
(may include exponents of one,
two and three)
6.A.3 Translate two-step verbal
sentences into algebraic
equations
6.A.4 Solve and explain twostep equations involving whole
numbers using inverse
operations
7.A.1 Translate two-step verbal
expressions into algebraic
Absolute
Value
PH Course 2
(sections 3-3 & 3-4),
Temperature and
Money, Negative
Number Puzzles,
Dice Number Line,
Missing Numbers,
Octagon Route,
Through the Maze,
Multiplying and
Dividing Negative
Numbers
PH Course 2
(sections 2-8 & 4-4),
Remember the
Order, Algebra
Cross, On the Move,
PH Course 2
(chapter 3),
Substituting Values
for
Letters
in Expressions,
Replacements
Bench
Numbers and
Symbols,
A Balancing Act
Month
Concept
Proportions
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Measurement 
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O
C
T
O
B
E
R
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Number
Theory
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Skill
Simple
proportions in
context
Identify metric
units
Identify
customary units
Choose
appropriate tool
to measure
mass
Develop
personal
references
Justify
reasonableness
of the mass of
an object
Convert
measurements
within a given
system
Factors,
Multiples, GCF,
LCM
Prime
Factorization
Venn Diagrams
Exponents
Order of
Operations
Performance Indicators
Vocab
7.M.2 Convert capacities and volumes
within a given system
7.M.4 Convert mass within a given system
7.M.9 Determine the tool and technique to
measure with an appropriate level of
precision: mass
7.M.12 Determine personal references for
customary / metric units of mass
7.M.13 Justify the reasonableness of the
mass of an object
7.N.8 Find the common factors and greatest
common factor of two or more numbers
7.N.9 Determine multiples and least
common multiple of two or more numbers
6.S.3 Construct Venn diagrams to sort data
7.N.11 Simplify expressions using order of
operations Note: Expressions may include
absolute value and/or integral exponents
greater than 0.
* Benchmark 1 *
Resources
PH Course 2 (pp. 541 543), Measure for
Measure, Fill Me Up,
PH Course 2 (pg. 3),
Catapult Crazy 2,
Matching Customary
Units, PH Course 2
(pp. 218 - 221),
Measure Up, Metric
Exchange, Choosing
Metric Units,
Classroom Estimation,
Sorting Units, Measure
It, Weigh and Pour,
Match the Measure
7.M.3 Identify customary and metric units of
mass
7.N.10 Determine the prime factorization of
a given number and write in exponential
form
Assessment
Greatest
Common
Factor
Least
Common
Multiple
Prime
Factorization
PH Course 2 (section
4-2, 4-5 & 4-6),
Hanging Baskets,
Prime Groups, Number
Classifier Software,
GCF&LCM-Using
Prime Factorization,
Puzzling Problems GCF&LCM, Haunted
House-Finding
Multiples & Factors, PH
Course 3 (sections 2-6
& 2-10), Exponent
Check, Power Play,
Exponent Power
Month
Concept
Square Roots 
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N
O
V
E
M
B
E
R
Skill
Perfect squares
Estimating
square roots
Calculate
square roots
Calculator
Tutorial
Performance Indicators
7.N.15 Recognize and state the value of the
square root of a perfect square (up to 225)
7.N.16 Determine the square root of nonperfect squares using a calculator
7.N.18 Identify the two consecutive whole
numbers between which the square root of
a non-perfect square whole number less
than 225 lies
7.N.19 Justify the reasonableness of
answers using estimation
7.G.5 Identify the right angle, hypotenuse,
and legs of a right triangle
Pythagorean
Theorem
7.G.6 Explore the relationship between the
lengths of the three sides of a right triangle
to develop the Pythagorean Theorem
7.G.8 Use the Pythagorean Theorem to
determine the unknown length of a side of a
right triangle
Powers of
Ten
Scientific
Notation


Exponent laws
Negative and
zero exponents
7.G.9 Determine whether a given triangle is
a right triangle by applying the Pythagorean
Theorem and using a calculator
7.N.4 Develop the laws of exponents for
multiplication and division
7.N.14 Develop a conceptual understanding
of negative and zero exponents with a base
of ten and relate to fractions and decimals
(i.e., 10-2 = .01 = 1/100)
7.N.5 Write numbers in scientific notation
7.N.6 Translate numbers from scientific
notation into standard form
7.N.7 Compare numbers written in scientific
notation
Vocab
Square
Root
Perfect
Square
Assessment
Resources
PH Course 2 (section
8-5), Square Numbers
and Square Roots,
Route to Root
Estimate
Hypotenuse
Leg
Naming Sides,
Investigating the
Pythagorean Theorem,
PH Course 2 (sections
8-6 & 8-7), The
Distance Between Two
Points, The
Pythagorean Theorem2D Problems
PH Course 2 (sections
3-3 & 3-4),
Temperature and
Money, Negative
Number Puzzles, Dice
Number Line, Missing
Numbers, Octagon
Route, Through the
Maze, Multiplying and
Dividing Negative
Numbers
PH Course 2 (section
10-2), Converting to
Scientific Notation,
Converting from
Scientific Notation, PH
Course 3 (section 2-11)
Month
Concept
Skill
D
E
C
E
M
B
E
R
7.N.1 Distinguish between the various
subsets of real numbers (counting/natural
numbers, whole numbers, integers, rational
numbers, and irrational numbers)
7.N.2 Recognize the difference between
rational and irrational numbers (ie, explore
different approximations of π)
Inequalities
Assessment
Resources
PH Course 3 (section
5-9), Am I Rational or
Irrational?
Decimals to Fractions,
Forwards and
Backwards, Exploring
Rational Numbers
Whole
Number
Integer
Irrational
PH Course 3 (sections
3-8, 3-9, & 3-10),
Solving Inequalities
Using a Number Line,
Solving Inequalities
Worksheet
Inequality
7.G.10 Graph the solution set of an
inequality (positive coefficients only) on a
number line
7.A.6 Evaluate formulas for given input
values (surface area, rate, and density
problems)
Concept
Algebra
J
A
N
U
A
R
Y
Vocab
Counting /
Natural
Number
Rational
7.N.3 Place rational and irrational numbers
(approximations) on a number line and
justify the placement of the numbers
7.A.5 Solve one-step inequalities (positive
coefficients only)
Formulas
Month
Performance Indicators
7.N.17 Classify irrational numbers as nonrepeating/non-terminating decimals
Number
Subsets
Skill
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Combine Like
Terms
Distributive
Property
Simplify and
Solve
Solve Equations
with Variables on
Both Sides
Performance Indicators
7.A.2 Add and subtract monomials with
exponents of one
7.A.3 Identify a polynomial as an algebraic
expression containing one or more terms
7.A.4 Solve multi-step equations by
combining like terms, using the distributive
property, or moving variables to one side of
the equation
* Benchmark 2 *
Vocab
Term
Monomial
Binomial
Trinomial
Polynomial
Assessment
Resources
PH Course 3 (section
3-6), Family Group,
Simplifying Algebraic
Expressions by
Collecting Like Terms,
Equations and
Parenthesis, Polished
Parenthesis, Filling in
the Gaps
Month
F
E
B
R
U
A
R
Y
Concept
Coordinate
Geometry
Skill
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
Plotting points
Graphing linear
equations
Performance Indicators
Vocab
7.A.7 Draw the graphic representation of a
pattern from an equation or from a table of
data
7.A.8 Create algebraic patterns using
charts/tables, graphs, equations, and
expressions
Angles of
Quadrilaterals
7.G.7 Find a missing angle when given
angles of a quadrilateral
Quadrilateral
Assessment
Resources
PH Course 2 (sections
11-2 & 11-4), Graph
Plot, Plotting Pairs, PH
Course 2 (sections 105 & 10-6), Generating
Sequences from an
Algebraic Rule, PH
Course 2 (pg. 313) &
PH Course 3 (section
8-7), On the Edge,
Missing NumbersSolving Linear
Equations Task
PH Course 2 (section
8-4), Quadrilateral
Angle Search
Month
Concept
Circles
M
A
R
C
H
ThreeDimensional
Figures
Skill
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Radius
Diameter
Area
Circumference
Working
backward
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

Faces & Bases
Surface Area
Volume
Estimate
Performance Indicators
Vocab
7.G.1 Calculate the radius or diameter,
given the circumference or area of a
circle
6.G.9 Understand the relationship
between the circumference and the
diameter of a circle
7.G.3 Identify the two-dimensional
shapes that make up the faces and
bases of three-dimensional shapes
(prisms, cylinders, cones, and
pyramids)
7.G.4 Determine the surface area of
prisms and cylinders, using a calculator
and a variety of methods
7.G.2 Calculate the volume of prisms
and cylinders, using a given formula
and a calculator
7.M.11 Estimate surface area
7.N.19 Justify the reasonableness of
answers using estimation
* Benchmark 3 *
Assessment
Resources
Amazing Calculations
Keeping on Track
Circling
Prism
Cylinder
Cone
Pyramid
PH Course 2 (section
8-8)
Unfolding, Box Clever,
3-D Shape Explorer,
PH Course 2 (section
8-9), We Have a Box
Problem, Area
&Volume,
Substitutions, What’s
My Surface?, PH
Course 2 (section 810), Airline Luggage,
Find the Volume of
Cylinders
Month
Concept
Statistics
A
P
R
I
L
Skill
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Collect Data
Read and
Interpret Data
Double Bar
Graphs
Double Line
Graphs
Circle Graph
Misleading Data
Frequency Table
Measures of
Central
Tendency
Performance Indicators
7.S.1 Identify and collect data using a
variety of methods
7.S.6 Read and interpret data represented
graphically (pictograph, bar graph,
histogram, line graph, double line/bar
graphs or circle graph)
7.S.3 Convert raw data into double bar
graphs and double line graphs
7.M.8 Draw central angles in a given circle
using a protractor (circle graphs)
7.S.2 Display data in a circle graph
7.S.7 Identify and explain misleading
statistics and graphs
6.S.2 Record data in a frequency table
6.S.1 Develop the concept of sampling
when collecting data from a population and
decide the best method to collect data for a
particular question
6.S.4 Determine and justify the most
appropriate graph to display a given set of
data
7.S.4 Calculate the range for a given
set of data
7.S.5 Select the appropriate measure of
central tendency
Vocab
Bar Graph
Line Graph
Circle
Graph
Range
Assessment
Resources
PH Course 2 (section
1-1), Set it Up,
Collecting Data, PH
Course 2 (section 1-5),
PH Course 2 (section
1-4), Finding the
Range of a Set of
Numbers 2, PH Course
2 (sections 1-1, 1-2, 78, & 1-3), Your
Average Trivia Quiz,
Bike Rides, Stock
Market, PH Course 2
(section 7-8), My
Results Are in Circles,
Circle Graph
Homework Task, PH
Course 2 (section 1-8),
Be Critical, Can You
Believe It?
Month
A
P
R
I
L
Concept
Relative Error
Probability
Skill
Performance Indicators

Relative Error
7.M.10 Identify the relationships between
relative error and magnitude when dealing
with large numbers (i.e., money, population)


Make predictions
Experimental
probabilities
Sampling
methods
Design and
conduct
experiment
Compare actual
to predicted
results
7.S.8 Interpret data to provide the basis
for predictions and to establish
experimental probabilities
Sample
7.S.9 Determine the validity of sampling
methods to predict outcomes
Probability
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

7.S.10 Predict the outcome of an
experiment
7.S.11 Design and conduct an
experiment to test predictions
7.S.12 Compare actual results to
predicted results
Vocab
Outcome
Assessment
Resources
PH Course 2 (section
9-1)
It’s So Unfair
PH Course 2 (sections
9-1, 9-3, 9-4, & 9-8)
Play the Game
PH Course 2 (section
9-3)
PH Course 2 (sections
9-1 & 9-2)
Happy Families
Probability Problem
PH Course 2 (sections
9-1, 9-2, & 9-3)
In A Spin
Comparing
Experimental &
Theoretical
Probabilities
Month
Concept
Assessment
Review
Proportions
Skill
Performance Indicators
7.M.1 Calculate distance using a map
scale
7.M.5 Calculate unit price using
proportions
7.M.6 Compare unit prices
M
A
Y
7.M.7 Convert money between different
currencies with the use of an exchange
rate table and a calculator
Sum of Interior
Angles of
Polygons
7.A.9 Build a pattern to develop a rule
for determining the sum of the interior
angles of polygons
Write
Equations
from Tables
7.A.10 Write an equation to represent a
function from a table of values
Vocab
Assessment
Resources
PH Course 2 (chapter
6)
Shares
Taxing Problems
A Meter of Chocolate
PH Course 2 (section
6-5)
PH Course 2 (section
6-2)
Maps and Models
PH Course 2 (sec. 6-2)
The Rate is the Thing
Better Buys
Foreign Exchange
Month
Concept
Angle
Relationships
Skill
Performance Indicators
8.G.1 Identify pairs of vertical angles
as congruent
Vocab
Parallel
Transversal
8.G.2 Identify pairs of supplementary
and complementary angles
8.G.3 Calculate the missing angle in a
supplementary or complementary pair
J
U
N
E
8.G.4 Determine angle pair
relationships when given two parallel
lines cut by a transversal
Slope
Intersect
Alternate Interior
Alternate
Exterior
Corresponding
8.G.5 Calculate the missing angle
measurements when given two
parallel lines cut by a transversal
Vertical Angles
8.G.6 Calculate the missing angle
measurements when given two
intersecting lines and an angle
Supplementary
8.G.13 Determine the slope of a line
from a graph and explain the meaning
of slope as a constant rate of change
Slope
8.G.14 Determine the y-intercept of a
line from a graph and be able to
explain the y-intercept
* Benchmark 4 *
Adjacent
Complementary
Y-intercept
Assessment
Resources