Math - Mr. Rowan

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Weekly Update - February 3

This week students will finish up their work on solving equations and determining if the equation has one, zero or infinite solutions. There are more examples and practice to be done here.
 
We will work with word problems and create and solve equations from those word problems. 
 
Finally we will look at systems of equations and how to use graphing the slope of the line and substitution to solve them.

Weekly Update - January 27

This week we will begin by reviewing the Distributive Property and Combining Like Terms.
 
Students will then work on learning the steps and practicing solving multi-step equations. 
  • Using the distributive property
  • Combining Like Terms on both sides of the equal sign
  • Moving the Variable to one side
  • Undoing Addition and Subtractions
  • Undoing Multiplication and Division

Weekly Update - January 21

This week in math, students will finish up combining like terms and using the distributive property. 
 
We will then move into finding the steps needed to solve two-step and multiple step equations.

Weekly Update - January 13

Welcome back to Room 201! Hopefully your vacation was balanced and all added up to a positive time. We are going to begin our journey into equations and how to solve multi-step algebraic equations. 
We will begin with:
  • The distributive property
  • Combining Like Terms
The class will begin a new warm-up. Students will use a combination of their notebooks and a white board to work on an open-ended problem.
  • 3 min to work alone
  • Those who get it can give tips after 3 min
  • 3 min to finish and all students understand
Students will take turns putting their solution on the white board in the front.
The class will have time to ask "I wonder how and why" "How did you" "What if" "Could you" questions using respectful discussion techniques. Finally, there will be time to give compliments and thank you's for the work that led to the class discussion.

Weekly Update - December 16

We will be holding regular classes Monday through Thursday and will be completing important assignments, projects and assessments. 
 
In math, students will be doing a final project where they combine the work they have done this quarter involving slope and functions. 
  • Students will be given a problem and will have to create a slope-intercept form linear equation in the form of y = mx + b to represent the information.
  • They will have to create a function table with various (x,y) values and then plot this linear function on a coordinate graph.

Weekly Update - December 9

This week, students will continue to work on functions. 
  • Determine the rule of a function based on input and output values
  • Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
  • Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions)

Weekly Update - December 2

Key Points

  • Functions are a relation between a set of inputs and a set of outputs with the property that each input maps to exactly one output.
  • Typically functions are named with a single letter such as f.
  • Functions can be thought of as a machine in a box that is open on two ends. You put something into one end of the box, it somehow gets changed inside of the box, and then the result pops out the other end.
  • All functions are relations, but not all relations are functions.

Key Terms

  • output: The output is the result or answer from a function.
  • relation: A relation is a connection between numbers in one set and numbers in another.
  • function: A function is a relation in which each element of the input is associated with exactly one element of the output.
 

Weekly Update - November 25

Hi, and welcome back! I hope you all had a good break! For our new unit, we will be focusing on Functions.

Key Points

  • Functions are a relation between a set of inputs and a set of outputs with the property that each input maps to exactly one output.
  • Typically functions are named with a single letter such as f.
  • Functions can be thought of as a machine in a box that is open on two ends. You put something into one end of the box, it somehow gets changed inside of the box, and then the result pops out the other end.
  • All functions are relations, but not all relations are functions.

Key Terms

  • output: The output is the result or answer from a function.
  • relation: A relation is a connection between numbers in one set and numbers in another.
  • function: A function is a relation in which each element of the input is associated with exactly one element of the output.

Weekly Update - November 12

This week students will finish up their unit on Slope. Students will complete their slope formula work on Wednesday, we will review on Thursday and students will take an assessment for Slope on Friday.

Weekly Update - November 4

This week in math students will continue learning about the slope of a line and how to find it. Students have learned about rise over run. Now they will learn about the slope-intercept form which is the equation y = mx + b. Students will also learn how to find the slope when given two points on the coordinate plane.

Weekly Update - October 28

This week, students will use what they have learned about slope to find the slope of the stairs at school. Students will use this information to draw the stairs to scale. After this project, students will learn about the slope-intercept formula and how to find the slope of a line given two points. 
 

Real World Applications – Slope                                                                         

Materials needed:

  • Video on finding the slope of a staircase
  • The flight of stairs back by the tech and art rooms.
  • A measuring tool that measures at least 12 inches.

Process:

  1. Watch the video on finding the slope of a staircase
  2. For the of stairs, answer the following:
    1. What can you say about the steepness of each flight of stairs? Is it safe?
    2. What is the height of each stair?
    3. What is the length of each stair
    4. What is the height of the entire staircase?
    5. What is the length of the entire staircase?
    6. What is the slope for the flight of stairs?
    7. Explain your process for finding the slope
    8. Explain the process for finding the slope of each staircase.

Now that you have done the measurements you are going to draw the whole staircase to scale on a piece of graph paper. The scale for this project is: 1 unit (or small square) of the graph paper equals 3 inches.

 In addition, in the space left over, you are going to draw one set of the stairs to scale. The scale for this part is: 1 unit (or small square) of the graph paper equals 3 inches.

 For the scale models of the set of stairs and the whole staircase, please label the height and length of the stairs.

Weekly Update - October 21

This week in math, students will complete their introduction to Algebra. We took a day to review integers last week and will continue to loop in concepts from quarter one throughout quarter two. Students will complete an assignment on academic vocabulary, graphing on the coordinate plane and combining like terms. I will then introduce students to the slope of a line and the slope-intercept formula y=mx + b.

Weekly Update - October 14

Hi, and welcome back! I'm excited to get started with quarter 2. This quarter we will be exploring the skills involved with learning Algebra. We will start with a review of graphing on the coordinate plane. Students will then get introduced to the vocabulary needed for the study of Algebra. We will then move into proportional relationships and slope.

Weekly Update - September 23

This week students will finish learning and practicing the exponent rules for exponents with negative powers and powers of a power. Students will have a quiz on Wednesday covering all the rules we have learned so far:
  • Multiplying exponents with the same base
  • Dividing exponents with the same base
  • Exponents with a power of 0
  • Exponents with negative powers
  • Exponents with powers raised to another power

Weekly Update - September 16

This week, students will continue learning the rules using exponents. This will include the rules for dividing exponents with the same base, the rule for an exponent with a negative power and the rule for raising an exponent's power to another power. We will do this using practice and using real world examples.