General Information (April 14th - May 1st)
Welcome back! I hope everyone had a restful Spring Break. It's hard to believe that there are only ten weeks of school left before the end of the year. The CSTs (California Standards Tests) are just around the corner, so starting this week we will be reviewing for our CSTs by going over release test questions. I will be making a class set for use during class time, but students will not have their own copy to take home. I highly recommend that parents print out a copy of the sample CST questions so that your child may practice at home. Please see the links on the right for the appropriate test questions. All 6th grade students will take the 6th grade CST; all 7th grade students will take the 7th grade CST; and all 8th and 9th grade students (except Alg.II students) will take the Algebra I CST.
Please feel free to email me at laurasanchez@aveson.org if you have any questions.
Sunday, April 13, 2008
Sunday, March 16, 2008
What's Happening the weeks of March 17-March 28?
Cohorts A & B
This week students are to conduct a five question survey . Four questions must have 2 choices ( ex. Do you think students should wear uniform? yes or no? ), and one question must have at least 5 choices (ex. What is your favorite sport from the following list? Baseball, Basketball, Football, Soccer, Volleyball). Students will be collecting data from 20-50 people, and creating a table and a bar graph to represent their findings. This assignment is due Thursday, March 20th.
Cohorts C & D
This week students will be changing linear equations from standard form to slope-intercept form. Additionally, students will learn to graph linear equations using T-charts, slope intercept form, and x and y intercepts.
Cohorts E & F
This week students will be adding, subtracting, multiplying and dividing polynomials. We will be reviewing the rules for combining like terms and the rules of exponents. We will also learn how to use FOIL to factor polynomials.
Cohorts A & B
This week students are to conduct a five question survey . Four questions must have 2 choices ( ex. Do you think students should wear uniform? yes or no? ), and one question must have at least 5 choices (ex. What is your favorite sport from the following list? Baseball, Basketball, Football, Soccer, Volleyball). Students will be collecting data from 20-50 people, and creating a table and a bar graph to represent their findings. This assignment is due Thursday, March 20th.
Cohorts C & D
This week students will be changing linear equations from standard form to slope-intercept form. Additionally, students will learn to graph linear equations using T-charts, slope intercept form, and x and y intercepts.
Cohorts E & F
This week students will be adding, subtracting, multiplying and dividing polynomials. We will be reviewing the rules for combining like terms and the rules of exponents. We will also learn how to use FOIL to factor polynomials.
Wednesday, February 27, 2008
General Information:
Tutoring is available M-W from 4:00-4:40pm.
Studyisland sections for all cohorts are due tomorrow! Students will be given time tomorrow in class to work on their Studyisland sections.
What's Happening The Weeks of March 3rd-March 14th
Cohorts A, B & C
Next week we will start working on our Statistics standards. Students will be asked to research and choose 6 stocks to include in their Mock Stock Portfolios. Students will be required to monitor their stocks individually, and collectively as part of an "Investment Club". We will monitor each stock's activity for the next 4-5 weeks. We will use information collected from our stock portfolio to calculate mean, median, mode and range; to create graphs and charts showing stock trends; and to compete against other Investment Clubs within the class. The students are very excited about choosing their stocks!!!
CA Content Standards to be Addressed:
Grade 6
1.1 Compute the range, mean, median, and mode of data sets.
1.2 Understand how additional data added to data sets may affect these computations of measures of central tendency.
1.3 Understand how the inclusion or exclusion of outliers affects measures of central tendency.
1.4 Know why a specific measure of central tendency (mean, median) provides the most useful information in a given context.
Grade 7
1.1 Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data or to compare two sets of data.
1.2 Represent two numerical variables on a scatter plot and informally describe how the data points are distributed and any apparent relationship that exists between the two variables (e.g., between time spent on homework and grade level).
1.3 Understand the meaning of, and be able to compute, the minimum, the lower quartile, the median, the upper quartile, and the maximum of a data set.
Cohort E & F
Next week we will complete our unit on systems of equations and inequalities, and start working on Polynomials. Over the next two weeks we will learn how to add, subtract, multiply, and divide polynomials.
CA Content Standards to be Adressed:
Algebra 1
9.0 Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.
10.0 Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques.
Cohort C & D
Students are currently learning how to simplify and solve multi-step equations. Over the next two weeks will be discussing 1) the definition of slope, 2)how to derive slope given a line on a graph, 3) how to calculate slope given two points, and 4) how to identify slope in an equation.
CA Content Standards to be Addressed:
Algebra 1
4.0 Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.
5.0 Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
Tutoring is available M-W from 4:00-4:40pm.
Studyisland sections for all cohorts are due tomorrow! Students will be given time tomorrow in class to work on their Studyisland sections.
What's Happening The Weeks of March 3rd-March 14th
Cohorts A, B & C
Next week we will start working on our Statistics standards. Students will be asked to research and choose 6 stocks to include in their Mock Stock Portfolios. Students will be required to monitor their stocks individually, and collectively as part of an "Investment Club". We will monitor each stock's activity for the next 4-5 weeks. We will use information collected from our stock portfolio to calculate mean, median, mode and range; to create graphs and charts showing stock trends; and to compete against other Investment Clubs within the class. The students are very excited about choosing their stocks!!!
CA Content Standards to be Addressed:
Grade 6
1.1 Compute the range, mean, median, and mode of data sets.
1.2 Understand how additional data added to data sets may affect these computations of measures of central tendency.
1.3 Understand how the inclusion or exclusion of outliers affects measures of central tendency.
1.4 Know why a specific measure of central tendency (mean, median) provides the most useful information in a given context.
Grade 7
1.1 Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data or to compare two sets of data.
1.2 Represent two numerical variables on a scatter plot and informally describe how the data points are distributed and any apparent relationship that exists between the two variables (e.g., between time spent on homework and grade level).
1.3 Understand the meaning of, and be able to compute, the minimum, the lower quartile, the median, the upper quartile, and the maximum of a data set.
Cohort E & F
Next week we will complete our unit on systems of equations and inequalities, and start working on Polynomials. Over the next two weeks we will learn how to add, subtract, multiply, and divide polynomials.
CA Content Standards to be Adressed:
Algebra 1
9.0 Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.
10.0 Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques.
Cohort C & D
Students are currently learning how to simplify and solve multi-step equations. Over the next two weeks will be discussing 1) the definition of slope, 2)how to derive slope given a line on a graph, 3) how to calculate slope given two points, and 4) how to identify slope in an equation.
CA Content Standards to be Addressed:
Algebra 1
4.0 Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.
5.0 Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
Monday, February 18, 2008
General Information
I can't believe we are officially into the second semester of the school year. As I mentioned to many of you during the Celebration of Learning, I am available for after school tutoring Monday through Wednesday from 4:00-4:40 and available for parent conferences Thursday and Friday from 4:00-4:40. Some students have already started coming by after school! Looks like we are all off to a great start!
A new Studyisland section will be assigned this week for each of the cohorts. Please let me know if you are having trouble accessing your child's account, and also if you would like to receive an automatic weekly progress report sent via e-mail by Studyisland.
What's Happening This Week?
Cohorts A & B
CA Content Standards to be addressed:
6th grade
1.1 Write and solve one-step linear equations in one variable.
1.2 Write and evaluate an algebraic expression for a given situation, using up to three variables.
7th grade
1.1 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represents a verbal description (e.g., three less than a number, half as large as area A).
1.4 Use algebraic terminology (e.g., variable, equation, term, coefficient, inequality, expression, constant) correctly.
Students spent most of last week reviewing how to add, subtract, multiply & divide positive and negative integers. This week, students will be learning how to translate word problems into equations and how to solve one-step equations involving addition/subtraction or multiplication/division.
Cohorts C & D
CA Content Standards to be addressed:
4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results.
Last week, students reviewed how to solve one-step equations involving addition/subtraction or multiplication/division. This week, students will be assessed on solving two step equations and simple inequalities.
Cohorts E & F
CA Content Standards to be addressed:
9.0 Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.
Last week, students reviewed how to derive the equation of a line given slope and a point. This week we will be translating word problems into equations, and solving systems of equations.
I can't believe we are officially into the second semester of the school year. As I mentioned to many of you during the Celebration of Learning, I am available for after school tutoring Monday through Wednesday from 4:00-4:40 and available for parent conferences Thursday and Friday from 4:00-4:40. Some students have already started coming by after school! Looks like we are all off to a great start!
A new Studyisland section will be assigned this week for each of the cohorts. Please let me know if you are having trouble accessing your child's account, and also if you would like to receive an automatic weekly progress report sent via e-mail by Studyisland.
What's Happening This Week?
Cohorts A & B
CA Content Standards to be addressed:
6th grade
1.1 Write and solve one-step linear equations in one variable.
1.2 Write and evaluate an algebraic expression for a given situation, using up to three variables.
7th grade
1.1 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represents a verbal description (e.g., three less than a number, half as large as area A).
1.4 Use algebraic terminology (e.g., variable, equation, term, coefficient, inequality, expression, constant) correctly.
Students spent most of last week reviewing how to add, subtract, multiply & divide positive and negative integers. This week, students will be learning how to translate word problems into equations and how to solve one-step equations involving addition/subtraction or multiplication/division.
Cohorts C & D
CA Content Standards to be addressed:
4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results.
Last week, students reviewed how to solve one-step equations involving addition/subtraction or multiplication/division. This week, students will be assessed on solving two step equations and simple inequalities.
Cohorts E & F
CA Content Standards to be addressed:
9.0 Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.
Last week, students reviewed how to derive the equation of a line given slope and a point. This week we will be translating word problems into equations, and solving systems of equations.
Wednesday, January 30, 2008
General Information:
It's hard to believe that our first semester is almost over. Finals are taking place this week (and perhaps Monday if students need more time). Next week we will go over the results of the Finals and students will be completing their PLP's accordingly. We will also be setting new goals for the next 10 weeks. Please encourage your child to go over the review packet given to them last week. This will help them tremendously on their Finals!
It's hard to believe that our first semester is almost over. Finals are taking place this week (and perhaps Monday if students need more time). Next week we will go over the results of the Finals and students will be completing their PLP's accordingly. We will also be setting new goals for the next 10 weeks. Please encourage your child to go over the review packet given to them last week. This will help them tremendously on their Finals!
Sunday, January 13, 2008
General Information:
The week of January 21st, we will be reviewing for our Semester Finals! Our semester finals will take place January 30-31 and will consist of approximately 30-40 previously released CST questions. On Tuesday, January 22nd, all students will be given a study guide with sample CST release questions which we will go over in detail (step by step) in class during the week. Please encourage your child to go over his/her notes for these problems at home to reinforce the concepts reviewed in class.
Additional Information:
Students are given a daily worksheet/s to reinforce and practice the concepts taught in class. Students are given time at the end of the class block to work on their assignment, and are expected to complete the worksheet during project block time. Students are also expected to turn in the assignments the next day in class, and ask for assistance on any problems that they were not able to understand. Please encourage your child to share with you his/her class assignments to ensure that they keep up with his/her work. We have weekly quizzes on Thursdays.
Assigned Studyisland sections are included along with classwork assignments as part of your child's classwork grade (25%). Quizzes and Tests (including the Semester Finals) account for 75% of your child's grade. If your child is having technical difficulties with studyisland, please have them print out the "printable worksheet" option, and he/she may complete it and submit it for credit. I will grade it and return it with a score. If he/she does not receive a "P" for Proficient, or "A" for Advanced, he/she will have to do a re-take on that section. Please E-mail me if you would like to receive a Studyisland automatic weekly e-mail report.
Thanks!
What's Happening This Week?
Cohorts D, E, and F:
We will be focusing on the following CA Content Standards:
6.0 Students graph a linear equation and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4).
7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point-slope formula.
We are in the midst of graphing linear equations. Last week we reviewed finding slope using the slope formula, and practiced graphing lines using two methods: 1. Using "T-charts" to plot points, and 2. By identifying the slope and y-intercept of a line when the equation is written in slope-intercept form. This week we will be changing equations from standard form to slope-intercept form in order to graph the linear equations, and we will learn an additional method of graphing lines by finding the x and y intercepts of a line. By the end of the week, we will also be learning how to sketch the region defined by an inequality.
Cohorts A & B
We will be focusing on the following CA Content Standards:
7th Grade
1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.
1.2 Use the correct order of operations to evaluate algebraic expressions such as 3(2x + 5)2.
2.5 Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the number from zero on a number line; and determine the absolute value of real numbers.
4.2 Solve multi step problems involving rate, average speed, distance, and time or a direct variation.
6th Grade
1.3 Apply algebraic order of operations and the commutative, associative, and distributive properties to evaluate expressions; and justify each step in the process.
2.2 Demonstrate an understanding that rate is a measure of one quantity per unit value of another quantity.
2.3 Solve problems involving rates, average speed, distance, and time.
Last week we worked on solving proportions by using cross-multiplication, and reviewed the rules of exponents. This week we will be reviewing how to add, subtract, multiply and divide positive and negative integers; we will use substitution to solve algebraic expressions; and we will tackle word problems involving rates of change.
Cohort C
We will be focusing on the following CA Content Standards:
7th grade
1.6 Calculate the percentage of increases and decreases of a quantity.
4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results.
4.2 Solve multi step problems involving rate, average speed, distance, and time or a direct variation.
Last week we worked on solving proportions using cross-multiplication, reviewed the rules of exponents, and learned how to solve absolute value problems. This week we will tackle word problems involving rate and percents of change. We will also return to solving one and two-step equations, and by the end of the week , we will be solving and graphing inequalities
The week of January 21st, we will be reviewing for our Semester Finals! Our semester finals will take place January 30-31 and will consist of approximately 30-40 previously released CST questions. On Tuesday, January 22nd, all students will be given a study guide with sample CST release questions which we will go over in detail (step by step) in class during the week. Please encourage your child to go over his/her notes for these problems at home to reinforce the concepts reviewed in class.
Additional Information:
Students are given a daily worksheet/s to reinforce and practice the concepts taught in class. Students are given time at the end of the class block to work on their assignment, and are expected to complete the worksheet during project block time. Students are also expected to turn in the assignments the next day in class, and ask for assistance on any problems that they were not able to understand. Please encourage your child to share with you his/her class assignments to ensure that they keep up with his/her work. We have weekly quizzes on Thursdays.
Assigned Studyisland sections are included along with classwork assignments as part of your child's classwork grade (25%). Quizzes and Tests (including the Semester Finals) account for 75% of your child's grade. If your child is having technical difficulties with studyisland, please have them print out the "printable worksheet" option, and he/she may complete it and submit it for credit. I will grade it and return it with a score. If he/she does not receive a "P" for Proficient, or "A" for Advanced, he/she will have to do a re-take on that section. Please E-mail me if you would like to receive a Studyisland automatic weekly e-mail report.
Thanks!
What's Happening This Week?
Cohorts D, E, and F:
We will be focusing on the following CA Content Standards:
6.0 Students graph a linear equation and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4).
7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point-slope formula.
We are in the midst of graphing linear equations. Last week we reviewed finding slope using the slope formula, and practiced graphing lines using two methods: 1. Using "T-charts" to plot points, and 2. By identifying the slope and y-intercept of a line when the equation is written in slope-intercept form. This week we will be changing equations from standard form to slope-intercept form in order to graph the linear equations, and we will learn an additional method of graphing lines by finding the x and y intercepts of a line. By the end of the week, we will also be learning how to sketch the region defined by an inequality.
Cohorts A & B
We will be focusing on the following CA Content Standards:
7th Grade
1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.
1.2 Use the correct order of operations to evaluate algebraic expressions such as 3(2x + 5)2.
2.5 Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the number from zero on a number line; and determine the absolute value of real numbers.
4.2 Solve multi step problems involving rate, average speed, distance, and time or a direct variation.
6th Grade
1.3 Apply algebraic order of operations and the commutative, associative, and distributive properties to evaluate expressions; and justify each step in the process.
2.2 Demonstrate an understanding that rate is a measure of one quantity per unit value of another quantity.
2.3 Solve problems involving rates, average speed, distance, and time.
Last week we worked on solving proportions by using cross-multiplication, and reviewed the rules of exponents. This week we will be reviewing how to add, subtract, multiply and divide positive and negative integers; we will use substitution to solve algebraic expressions; and we will tackle word problems involving rates of change.
Cohort C
We will be focusing on the following CA Content Standards:
7th grade
1.6 Calculate the percentage of increases and decreases of a quantity.
4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results.
4.2 Solve multi step problems involving rate, average speed, distance, and time or a direct variation.
Last week we worked on solving proportions using cross-multiplication, reviewed the rules of exponents, and learned how to solve absolute value problems. This week we will tackle word problems involving rate and percents of change. We will also return to solving one and two-step equations, and by the end of the week , we will be solving and graphing inequalities
Monday, December 10, 2007
GENERAL INFORMATION:
Dear Parents,
I am available after school Tue-Fri from 4:00-4:40 for students who need additional math help, for students who need to re-take quizzes, or for parent conferences. Students may also re-take quizzes on Fridays during their project block. If you would like a weekly Studyisland report of your child's progress, please email me to add you to the automatic email report. Reports will be sent every Saturday morning. Thanks!
What's Happening This Week?
Algebra I (Cohorts D,E,F)
We will be focusing on the following CA Content Standards for the next 2 weeks:
3.0 Students solve equations and inequalities involving absolute values.
4.0 Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.
6.0 Students graph a linear equation and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y <>
7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point-slope formula.
We will continue our discussion on slope this week and practice deriving slope given two points on a line. Students will also practice graphing linear equations using the point-slope form of a line by identifying the y-intercept and slope. They will also practice plotting points using a T-chart and will learn the difference between a dependent and independent variable.
There will be no new sections of Studyisland this week. Students will continue to work on the Solving Linear Equations and Inequalities sections until they attain a "Proficient" level.
Bridge to Algebra (Cohorts A & B)
We will be focusing on the following CA Content Standards over the next 2 weeks:
Grade 6
1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.
1.2 Interpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities, using appropriate notations ( a/b, a to b, a:b ).
1.3 Use proportions to solve problems (e.g., determine the value of N if 4/7 = N/ 21, find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse.
Grade 7
1.4 Differentiate between rational and irrational numbers.
2.1 Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base.
2.3 Multiply, divide, and simplify rational numbers by using exponent rules.
2.4 Use the inverse relationship between raising to a power and extracting the root of a perfect square integer; for an integer that is not square, determine without a calculator the two integers between which its square root lies and explain why.
2.1 Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.
For the next two weeks we will be learning about ratios & proportions, square roots, and rules of exponents. We started with square roots today and will continue with exponents tomorrow. By next week we will be practicing setting-up and solving proportions. We will also be working in groups to solve word problems involving proportions to help students understand real world examples of when proportions are used. Students will also be presenting their group solutions to the class.
Students will not be assigned any new Studyisland sections but will be expected to continue working on all previously assigned sections until they attain a "Proficient" level. (Please see previous blogs for assigned sections to date.)
Algebra 1A (Cohort C)
We will be focusing on the following CA Content Standards over the next 2 weeks:
Grade 7
2.1 Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.
2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent.
2.1 Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base.
2.3 Multiply, divide, and simplify rational numbers by using exponent rules.
2.4 Use the inverse relationship between raising to a power and extracting the root of a perfect square integer; for an integer that is not square, determine without a calculator the two integers between which its square root lies and explain why.
Algebra I
2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents.
3.0 Students solve equations and inequalities involving absolute values.
4.0 Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.
Over the next two weeks will be reviewing the rules of exponents and learning to solve multi-step equations. Today we jumped right into finding the square root of a number (or an approximation) and started going over the rules of exponents for multiplying monomials with similar and different bases.
Students will not be assigned any new Studyisland sections this week, but are expected to complete all previously assigned sections with a "Proficient" level. (Please see previous blogs for all Studyisland sections assigned to date.)
Dear Parents,
I am available after school Tue-Fri from 4:00-4:40 for students who need additional math help, for students who need to re-take quizzes, or for parent conferences. Students may also re-take quizzes on Fridays during their project block. If you would like a weekly Studyisland report of your child's progress, please email me to add you to the automatic email report. Reports will be sent every Saturday morning. Thanks!
What's Happening This Week?
Algebra I (Cohorts D,E,F)
We will be focusing on the following CA Content Standards for the next 2 weeks:
3.0 Students solve equations and inequalities involving absolute values.
4.0 Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.
6.0 Students graph a linear equation and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y <>
7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point-slope formula.
We will continue our discussion on slope this week and practice deriving slope given two points on a line. Students will also practice graphing linear equations using the point-slope form of a line by identifying the y-intercept and slope. They will also practice plotting points using a T-chart and will learn the difference between a dependent and independent variable.
There will be no new sections of Studyisland this week. Students will continue to work on the Solving Linear Equations and Inequalities sections until they attain a "Proficient" level.
Bridge to Algebra (Cohorts A & B)
We will be focusing on the following CA Content Standards over the next 2 weeks:
Grade 6
1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.
1.2 Interpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities, using appropriate notations ( a/b, a to b, a:b ).
1.3 Use proportions to solve problems (e.g., determine the value of N if 4/7 = N/ 21, find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse.
Grade 7
1.4 Differentiate between rational and irrational numbers.
2.1 Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base.
2.3 Multiply, divide, and simplify rational numbers by using exponent rules.
2.4 Use the inverse relationship between raising to a power and extracting the root of a perfect square integer; for an integer that is not square, determine without a calculator the two integers between which its square root lies and explain why.
2.1 Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.
For the next two weeks we will be learning about ratios & proportions, square roots, and rules of exponents. We started with square roots today and will continue with exponents tomorrow. By next week we will be practicing setting-up and solving proportions. We will also be working in groups to solve word problems involving proportions to help students understand real world examples of when proportions are used. Students will also be presenting their group solutions to the class.
Students will not be assigned any new Studyisland sections but will be expected to continue working on all previously assigned sections until they attain a "Proficient" level. (Please see previous blogs for assigned sections to date.)
Algebra 1A (Cohort C)
We will be focusing on the following CA Content Standards over the next 2 weeks:
Grade 7
2.1 Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.
2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent.
2.1 Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base.
2.3 Multiply, divide, and simplify rational numbers by using exponent rules.
2.4 Use the inverse relationship between raising to a power and extracting the root of a perfect square integer; for an integer that is not square, determine without a calculator the two integers between which its square root lies and explain why.
Algebra I
2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents.
3.0 Students solve equations and inequalities involving absolute values.
4.0 Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.
Over the next two weeks will be reviewing the rules of exponents and learning to solve multi-step equations. Today we jumped right into finding the square root of a number (or an approximation) and started going over the rules of exponents for multiplying monomials with similar and different bases.
Students will not be assigned any new Studyisland sections this week, but are expected to complete all previously assigned sections with a "Proficient" level. (Please see previous blogs for all Studyisland sections assigned to date.)
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