• Algebra I, Part I (3rd Period)


    Welcome to Algebra I, Part I. The 7th-grade Algebra I, Part I course is designed to be the first year of a two-course program for Algebra I. Students placed in this course are developing abstract mathematical reasoning, and concepts are presented with time to reinforce skills. This class utilizes a mix of lectures, group work, math labs, and discussions to understand the content on a deep level. 


A1P1 Class Updates

  • Unit 7: Applications of Linear Equations

    Posted by Alexa Schmidt on 2/18/2019

    Currently in A1P1, students are applying their knowledge of linear equations from the last unit to more complex topics in this unit. We begin with creating equations for parallel and perpendicular lines and then move into analyzing statistics and scatter plots using linear equations.

     

    To extend at home, find a scatter plot in the news and ask your child to draw a trend line. Does the scatter plot show positive or negative correlation? Does that make sense in the context of the news story?

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  • Unit 6: Equations of Linear Functions

    Posted by Alexa Schmidt on 2/4/2019

    Currently in A1P1, students are learning the different types of linear equations (standard form, slope-intercept form, and point-slope form), how to convert between the forms, and how to graph a line. This is one of the foundational units of Algebra 1 and tremendous care should be taken to learn this material well.

     

    To extend at home, ask your child to explain each of the forms of linear equations and what each of the variables stand for. When is it easier to use point-slope over the other forms? Slope-intercept?

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  • Mini-Unit: Applications of Linear Functions

    Posted by Alexa Schmidt on 1/9/2019

    In this mini-unit between now and exams, the students are learning about applications of the linear functions we have been studying for the past month. We will begin to look at graphing functions such as direct variation equations and arithmetic sequences and will make connections between them and the linear functions with which the students are already familiar.

    To extend at home, create a pattern involving addition or subtraction and ask your child to create a simplified arithmetic function to represent your sequence.

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  • Unit 5: Linear Functions, Part 1

    Posted by Alexa Schmidt on 12/20/2018

    In this unit, covering sections 3.1 - 3.3 of the textbook, we are looking at basic linear functions. We are focusing on multiple ways to graph linear functions, how to use them to solve equations, and how rate of change and slope are related to linear functions.

     

    To extend at home, ask your child what makes an equation linear and how to put an equation in standard form.

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  • Unit 4: Applications of Linear Equations

    Posted by Alexa Schmidt on 11/1/2018

    In this unit, covering the end of chapter 2, we apply our knowledge of solving linear equations into uses for linear equations. We study ratios and proportions (including percent change, tax, discounts, etc.) and literal equations and dimensional analysis. The last section of this unit, 2.8, is notoriously difficult for students. Regular study and practice problems are essential!

     

    To extend at home, have your child calculate the tax or tip next time you are out shopping!

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  • Unit 3: Advanced Linear Equations

    Posted by Alexa Schmidt on 10/19/2018

    This unit in A1P1, students review their skills in solving linear equations. We extend their knowledge this year by creating equations from word problems, solving equations with zero, one, or infinitely many solutions, and solving absolute value equations.

    To extend at home, ask your child to write an equation to find two consecutive even integers whose sum is 54.

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  • Unit 2: Relations and Functions

    Posted by Alexa Schmidt on 10/12/2018

    This unit in A1P1, students have learned about the many ways to represent a relation (table, mapping, graph, and equation) and can explain the difference between a relation and a function. We watched a humorous video on functions that you can view here. Finally, we spent a few days learning how to analyze graphs and interpret them in the context of a word problem.

    To extend at home, find a graph in the newspaper and have your child describe its relative extrema and intercepts and what each of those values mean for that specific graph.

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  • Unit 1: Expressions, Equations, and Properties of Numbers

    Posted by Alexa Schmidt on 9/25/2018

    Right now in school, students are working hard to develop their understanding of the order of operations and how they are used to simplify expressions. New this year is the addition of the Properties of Numbers to justify each step of an order of operations problem. The seventh grade starts off the year with proofs because it enforces the idea of showing all of your work and having a logical reason for everything you do in math.

     

    To extend this at home, have your child explain (using the properties of numbers) 2(3/3)+5(8-8) is 2.

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