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Welcome!
Mrs. Zogby's 7th and 8th Grade Math
zogbym@franklin.k12.ma.us 508.533.0322 x3647
Grade 7 Learning Objectives
Week of May 14, 2012
Students in Math 7 and Math 7A will be able to...
*recognize the symbolic representation of a linear relationship in more than one form
*easily convert from one form of a linear relationship to another
*review for and assess all Chapter 5 objectives
Week of May 7, 2012 (MATH MCAS TESTING TUESDAY MAY 8TH AND WEDNESDAY MAY 9TH)
Students in Math 7 and Math 7A will be able to...
*recognize the symbolic representation of a linear relationship in more than one form
*review and practice topics for math MCAS
Week of April 30, 2012
Students in Math 7 and Math 7A will be able to...
*relate speed to the slope of a graph of distance over time
*gain skill in recognizing proportional and non-proportional relationships between distance and time
*recognize linear relationships from symbolic rules, graphs, patterns, and tables and to convert one form into another
*recognize the symbolic representation of a linear relationship in more than one form
*review and practice topics for math MCAS
Week of April 23, 2012
Students in Math 7 and Math 7A will be able to...
*develop strategies for describing rates
*recognize rates presented in symbolic and graphic forms
*compare proportional and nonproportional relationships
*represent proportional and nonproportional relationships in words, tables, symbols and graphs
*to relate speed to the slope of a graph of distance over time
Week of March 26, 2012
Students in Math 7 and Math 7A will be able to...
*add and subtract signed numbers
*use number sense when working with signed numbers
*predict the sign of a sum or difference involving negative and positive numbers
Week of March 19, 2012
Students in Math 7 and Math 7A will be able to...
*add and subtract signed numbers
*use number sense when working with signed numbers
*predict the sign of a sum or difference involving negative and positive numbers
Week of March 12, 2012
Students in Math 7 and Math 7A will be able to...
*multiply and divide numbers by powers of 10
*write numbers using scientific notation
*use a calculator to work with numbers in scientific notation
Week of March 5, 2012
Students in Math 7 and Math 7A will be able to...
*multiply and divide numbers by powers of 10
*write numbers using scientific notation
*use a calculator to work with numbers in scientific notation
Week of February 27, 2012
Students in Math 7 and Math 7A will be able to...
*understand the relative difference between a million and a billion
*multiply and divide numbers by powers of 10
*write numbers using scientific notation
*use a calculator to work with numbers in scientific notation
Week of February 13, 2012
Students in Math 7 and Math 7A will be able to...
*to model the behavior of exponents using stretching and shrinking machines
* to understand and apply the quotient laws of exponents
*to understand and apply the power to a power law of exponents
Week of February 6, 2012
Students in Math 7 and Math 7A will be able to...
*to model the behavior of exponents using stretching and shrinking machines
* to understand and apply the product laws of exponents
Week of January 30, 2012
Students in Math 7 and Math 7A will be able to...
*to review for all Chapter 2 objectives
*to assess all Chapter 2 objectives
*to model the behavior of exponents using stretching and shrinking machines
* to understand and apply the product laws of exponents
Week of January 23, 2012
Students in Math 7 and Math 7A will be able to...
*to decide if a given net will fold into a closed three-dimensional solid
*to create nets that will fold into given shapes
*to use information about the nets of an object to find surface area and volume
Week of January 17, 2012
Students in Math 7 and Math 7A will be able to...
*find the volume of any prism or cylinder as area of base times height
*understand that for a given volume the cube is the rectangular prism with the minimum surface area
*articulate some applications of surface area and volume, in particular, the relationship of surface area
per unit volume and what it tells you about heat loss
Week of January 9, 2012
Students in Math 7 and Math 7A will be able to...
*understand the difference between engineering regular views and engineering views
*understand volume as the number of blocks that make up a structure
Week of January 3, 2012
Students in Math 7 and Math 7A will be able to...
*continue a block pattern given the first three stages
*describe block patterns visually and numberically
*describe block patterns with algebraic expressions
Week of December 19, 2011
Students in Math 7 and Math 7A will be able to...
*to recognize percents as ratios with a common scale of 100
*to recognzie precents as a convenient way to compare ratios
*to solve percent problems using proportions
*to calculate percent increase or percent decrease
Week of December 12, 2011
Students in Math 7 and Math 7A will be able to...
*recognize proportions as pairs of equivalent ratios
*use equivalent ratios to find the missing part of a proportion
*set up and use proportions to solve problems
*use proportions and similar triangles to calculate distances
Week of November 28, 2011
Students in Math 7 and Math 7A will be able to...
*to recognize and express ratios in different situations
*to recognize equivalent ratios
*to compare ratios by converting to common units
*to solve problems involving unit rates
Week of October 24, 2011
Students in Math 7 and Math 7A will be able to...
*understand and apply the distributive property
*to remove parentheses by multiplying
*to insert parentheses by factoring expressions
*to perform numerical calculations using the distributive property
Week of October 17, 2011
Students in Math 7 and Math 7A will be able to...
*understand and apply the distributive property
*to remove parentheses by multiplying
*to insert parentheses by factoring expressions
*to perform numerical calculations using the distributive property
Week of October 10, 2011
Students in Math 7 and Math 7A will be able to...
*understand and apply the distributive property
*to remove parentheses by multiplying
*to insert parentheses by factoring expressions
*to perform numerical calculations using the distributive property
Week of October 3, 2011
Students in Math 7 and Math 7A will be able to...
*practice using variables to write expressions
*use expressions to solve problems
*develop and use formulas to find specific quantities
*identify restrictions on variables
Grade 8 Learning Objectives
Week of May 14, 2012 (SCIENCE MCAS TESTING TUESDAY MAY 15TH AND WEDNESDAY MAY 16TH)
Students in Math 8 will be able to...
*understand and appy geometrical translations to the creation of a tesselation project
*use a geometric model to illiustrate the distributive property for expressions in the form a(b+c)
*represent algebraic expressions using rectangle models
Students in Math 8A will be able to...
*understand and appy geometrical translations to the creation of a tesselation project
*understand the definition of a function
*understand different ways of representing functions
Week of May 7, 2012 (MATH MCAS TESTING TUESDAY MAY 8TH AND WEDNESDAY MAY 9TH)
Students in Math 8 will be able to...
*understand and appy geometrical translations to the creation of a tesselation project
Students in Math 8A will be able to...
*understand and appy geometrical translations to the creation of a tesselation project
Week of April 30, 2012
Students in Math 8 will be able to...
*understand and apply concepts from Data and Probability Strand (MCAS prep)
*understand and apply concepts from Measurement Strand (MCAS prep)
*understand and apply concepts from Algebra Strand (MCAS prep)
*understand and apply concepts from Geometry Strand (MCAS prep)
*understand and apply helpful test taking strategies (MCAS prep)
Students in Math 8A will be able to...
*understand and apply concepts from Numbers and Operations Strand (MCAS prep)
*understand and apply concepts from Measurement Strand (MCAS prep)
*understand and apply concepts from Data and Probability Strand (MCAS prep)
*understand and apply concepts from Algebra Strand (MCAS prep)
*understand and apply concepts from Geometry Strand (MCAS prep)
Week of April 23, 2012
Students in Math 8 will be able to...
*understand and apply concepts from Data and Probability Strand (MCAS prep)
*understand and apply concepts from Algebra Strand (MCAS prep)
*understand and apply concepts from Geometry Strand (MCAS prep)
*understand and apply helpful test taking strategies (MCAS prep)
Students in Math 8A will be able to...
*understand how to apply the quadratic formula
*understand the significance of the discriminant in the quadratic formula
*to interpret and solve real world problems involving quadratic equations
Week of March 23, 2012
Students in Math 8 will be able to...
*understand and apply methods for solving inequalities
*to graphically represent inequalities
Students in Math 8A will be able to...
*understand how to apply the quadratic formula
*understand the significance of the discriminant in the quadratic formula
*to interpret and solve real world problems involving quadratic equations
Week of March 19, 2012
Students in Math 8 will be able to...
*understand and apply methods for solving inequalities
*to graphically represent inequalities
Students in Math 8A will be able to...
*backtrack to undo taking the square root of a number
*backtrack to undo the reciprocal of a number
*backtrack to undo changing the sign of a number
Week of March 12, 2012
Students in Math 8 will be able to...
*understand the symbolic representation of inequalities
*interpret situations mathematically and write inequalities to represent them
*understand and apply methods for solving inequalities
Students in Math 8A will be able to...
*multiply binomials using the distributive property
*understand patterns for shortcuts in multiplying binomials
*to understand the pattern and apply a shortcut to square binomials of the forms (a+b)^2 and (a-b)^2
Week of March 5, 2012
Students in Math 8 will be able to...
*interpret situations mathematically and write expressions to represent them
*use the same thing to both sides to solve algebraic equations
Students in Math 8A will be able to...
*multiply binomials using the distributive property
*understand patterns for shortcuts in multiplying binomials
*to understand the pattern and apply a shortcut to square binomials of the forms (a+b)^2 and (a-b)^2
Week of February 27, 2012
Students in Math 8 will be able to...
*solve equations that involve proportions
*interpret situations mathematically and write expressions to represent them
*use the backtracking method to solve algebraic equations and understand the limitations of this method
*use the same thing to both sides to solve algebraic equations
Students in Math 8A will be able to...
*use geometric models to multiply binomials
*multiply binomials using the distributive property
*understand patterns for shortcuts in multiplying binomials
Week of February 13, 2012
Students in Math 8 will be able to...
*use the backtracking method to solve algebraic equations and understand the limitations of this method
*use the same thing to both sides to solve algebraic equations
Students in Math 8A will be able to...
*use a geometric model to illiustrate the distributive property for expressions in the form a(b+c)
*represent algebraic expressions using rectangle models
*simplify algebraic expressions by combining like terms
Week of February 6, 2012
Students in Math 8 will be able to...
*to identify collinear points
*to understand how parallel and perpendicular lines can be identifiied using the slopes of those lines.
*to determine if an equation can be written in the form y=mx+b as a test for linearity
*to identify an outlier and a line of best fit for a given set of data
Students in Math 8A will be able to...
*to solve systems of equations by graphing, substitution, and elimination
*to write systems of equations to represent situations
*to determine and use the most appropriate method of solving systems of equations
Week of January 30, 2012
Students in Math 8 will be able to...
*to write the equation of a line given two points or given slope and one point
*to understand how parallel and perpendicular lines can be identifiied using the slopes of those lines.
Students in Math 8A will be able to...
*to solve systems of equations by graphing, substitution, and elimination
*to write systems of equations to represent situations
*to determine and use the most appropriate method of solving systems of equations
Week of January 23, 2012
Students in Math 8 will be able to...
*to understand how a change of scale can affect the appearance of the graph of a line
*to write the equation of a line when two points are known or when the slope and one point are known
Students in Math 8A will be able to...
*to solve systems of equations by graphing, substitution, and elimination
*to write systems of equations to represent situations
*to determine and use the most appropriate method of solving systems of equations
Week of January 17, 2012
Students in Math 8 will be able to...
*understand slope as the constant rate of change in a line
*calcuate slope as the ratio rise/run
*understand how a change of scale can affect the appearance of the graph of a line
Students in Math 8A will be able to...
*use graphs of equations to find approximate solutions and then refine estimate
*use calculator generated tables to find approximae solutions and then refine estimates
*write systems of equations to represent situations
Week of January 9, 2012
Students in Math 8 will be able to...
*represent and interpret linear relatoinships in words, tables, graphs and equations, and to make connections among the representations
*classify reltationships as direct variations, linear relationships that are not direct variations, or nonlinear relationships
*describe situations that can be represented by increasing or decreasing linear relationships
Students in Math 8A will be able to...
*understand the symbolic representation of inequalities
*interpret situations mthematically and create inequalities to represent them
*learn and apply methods for solving inequalities
*graphically represent inequalities
Week of December 19, 2011
Students in Math 8 will be able to...
*interpret line graphs, circle graphs, histograms, stem-and-leaf plots, bar graphs, and box-and-whicsker plots
*describe the information that is included and the information that is left out of any dislay of a given data set
*choose an appropriate way to display various sets of data
*construct a display that appropriately depicts a given data set
Students in Math 8A will be able to...
*simplify radical expressions
*understand that irrational numbers cannot be expressed as the ratio of two integers
* determine whether simple radicals are rational or irrational numbers
Week of December 12, 2011
Students in Math 8 will be able to...
*predict the characteristics of an entire population from a representative population
*appreciate some of the limitations inherent in using small or restricted samples
*analyze a representative sample for flaws in its selection
*choose a sample representative population for a survey
Students in Math 8A will be able to...
*distinguish exponential growth from exponential decay when described in algebraic expressions, tables, graphs and words
*represent exponential growth and exponetial decay relationships with algebraic expressions
*simplify radical expressions
*understand that irrational numbers cannot be expressed as the ratio of two integers
* determine whether simple radicals are rational or irrational numbers
Week of November 28, 2011
Students in Math 8 will be able to...
*describe a graph for a situation and to describe a situation that a graph might represent
*understand that constant change is represented by a straight-line graph
*use slopes to compare growth, analyze speed, and determine directino of motion
*predict values from graphs of non-constant growth
Students in Math 8A will be able to...
*calculate values of expressions with positive and negative integer exponents
*raise positive and negative (including fractional) bases to powers
*to understand and use laws of exponents
*write very large and very small numbers using scientific notation and to expand scientific notation into standard notation
Week of October 24, 2011
Students in Math 8 will be able to...
*to model the behavior of exponents using strectching and shrinking machines
*to understand and apply the product laws of exponents
*to understand and apply the quotient laws of exponents
*to understand the power to a power law of exponents
Students in Math 8A will be able to...
*to determine from the slopes in their equations if two lines are parallel/perpdendicular
*to determine if three points are collinear
*to determine if an equation can be writtenin thge form y=mx + b as a test for linearity
*to plot a set of data, identify outliers, and draw a line of best fit
Week of October 17, 2011
Students in Math 8 will be able to...
*to model the behavior of exponents using strectching and shrinking machines
*to understand and apply the product laws of exponents
*to understand and apply the quotient laws of exponents
Students in Math 8A will be able to...
*write the equation of a line when the slope and a point are known or when two points are known
*to determine from the slopes in their equations if two lines are parallel/perpdendicular
*to determine if three points are collinear
Week of October 10, 2011
Students in Math 8 will be able to...
*to describe variable quantities that appear in typcial word problems, including those that refer to signed numbers
*to add and subtract parenthetical expressions
* to solve equations by adding, multiplying, or dividing both sides by the same quantity
Students in Math 8A will be able to...
*to understand slope as the constant rate of change in a line
*to calculate slope as the ratio rise/run
*to understand how a change of scale can affect the appearance of the graph of a line
Week of October 3, 2011
Students in Math 8 will be able to...
*to describe variable quantities that appear in typcial word problems, including those that refer to signed numbers
*to add and subtract parenthetical expressions
* to solve equations by adding, multiplying, or dividing both sides by the same quantity
Students in Math 8A will be able to...
*represent and interpret linear relationships in words, tables, graphs and equations and make connections
between the representations
*classify relationships as direct variations, linear relationships that are not direct variations, or non-linear relationships
*describe situations that can be reprsented by increasing or decreasing linear relationships
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