Function Tables

Here are the notes from today's class:

For homework tonight, study your notes and graphs from last week for a skills check. This will be our last assessment for this quarter.

Solve for Y

First, we went over the answers from last week's graphs and questions. Then students took notes as we solved equations with two variables. This leads to solving for y and writing a y-intercept equation to graph. Students have two problems to solve for tomorrow along with one "out of the box" word problem for tonight's homework.

Notes for 3/30/15

Homework 3/30/15

Exploring Linear Data - Day 4

Today was a wrap-up day. Students finished the second graph, determined both slopes (the table consisted of x-values and two y-values), and answered questions. I will review the work over the weekend for "Demonstrates Responsibility" process grade. If students remained focused, they have had ample time to complete both graphs and answer the questions.

Since quarter 3 ends next Friday, 4/3/15, I highly suggest that students turn in any missing assignments and retake any assessment (there have been 3 thus far this quarter). I have double checked and triple checked PowerSchool entries against my own handwritten grade sheets. There is always a chance for error, so please contact me if you believe there is a discrepancy. 

No homework, happy hiking, and have a safe weekend.

Exploring Linear Data - Day 3

First -- enjoy some photos of students working on their graphs:

 

The students were given a table containing data for bike weights and jump height. The activity is designed to help students (via graphing) determine what, if any, relationship there may be between the weight of the bike and the height of the jump. Once students have set up their graph (much work), entered their coordinates, and drawn the best fit line -- then they must determine the rate of change (slope) and the y-intercept in order to write the equation of their line on the graph. LOTS to consider, decision making, and sometimes judgement calls. Hopefully we'll have a few completed graphs to share on tomorrow's blog.

All work is done in class. There is no homework for tonight.

Exploring Linear Data - Day 2

Today, we continued with split class. Students in need of more practice with coordinates and determining the y-intercept equation, continued with the given work. Students who have met the standard, continued with the constructing graphs with given data tables.

Much work is going into how to set up graphs. Hopefully by tomorrow, I will have some samples ready to share.

All work is done in class soooooo there is no homework.

Exploring Linear Data

After reviewing the skills check from last Thursday, some students indicated that they were still struggling with coordinates and y-intercept. Today, students who were still struggling engaged in additional practice with Ms. Doiron. Meanwhile, students who demonstrated meeting the standard explored linear data on a best fit line. We first began with examining the correlation with the number of oil changes per year and cost of engine repairs. We also discussed that their are many variables that affect the cost of engine repairs, but their "appears to be a relation between the number of oil changes and the money spent on engine repairs. Discussions about x-axis (independent variable), y-axis (dependent variable), and how to determine a y-intercept equation from such a graph. More guidance will occur tomorrow.

This week, students will be graphing bike weights and jump heights on one graph, and weight of individuals to the dosage amounts of prescriptions.This group of lessons is from Illuminations (National Council of Teachers of Mathematics).

No homework tonight AND pictures/graphs will appear in tomorrow's post.

Review Slope

After reviewing yesterday's notes and last night's homework assignment, students completed and "Skills Check -- y-Intercept.  Students worked on this independently and it will be used as an assessment.  Again, any student can retake an assessment to indicate improved learning.

Key to last night's homework:

Investigating Slope of a Line

Review of last night's homework started today's class.

As we continue to investigate slope, today's notes focused on determining slope by using two sets of coordinate points. The notes below shows how the students were taken through the steps to determine slope. Students also had 3 questions to answer.

 

Homework for tonight deals with y-intercept (slope) formula:

More Notes on Linear Graphs

Prior to going over the answers for last night's homework assignment, I shared with the students that from this point on, math will integrate many skills together. Last night's homework is a small example. Students were directed to pick out words that should "ring a bell" from question #3. Students were quick to pick out "rate of change" and "commission". Using their MTN's, students went back to December to rediscover what a commission is and what it meant. After reviewing percent of a number, students recognized 1-step equations ( a few weeks back). Then we used the graph from the assignment and answered the questions.

The first photo is a copy of the notes that we worked on together in class.

After reviewing the assignment, I gave additional notes about linear graphs.

Tonight's homework involves a review of last night and furthering students' knowledge of reading graphs.

Linear Graphs

Notes for today included drawing slopes from a given formula. Throughout the class, questions such as:
Where do we start? Using your words, where is the y-intercept? What comes next? What is the "rise over run" in this example? What type of slope is this? (positive or negative)  Using your words, how can you tell?

Students were also reminded to make sure their "ruler straight" lines extend through the x-axis and y-axis, arrows at both ends of the lines, and any notes that I have written on the write board.  Notes should resemble the following:

 

This is tonight's homework. Not the same thing that we did in class, but apply knowledge to answer these three questions.

Graphing Linear Equations

Last night's homework results should look similar to this sample:

A review was conducted to the requirements of linear graphs. Then more practice as how to take information from a given table and plot the coordinates on a graph.

There were many titles entered in students' Table of Contents in their MTN's this week. Here is a photo to check on TOC's.

On Monday, we will continue with graphing of linear equations.

Graphing Baby Data

In class, I will shared linear graphs for the three babies in Table A from the Baby Data worksheet (in MTN). We had a healthy discussion about what consists of proper linear graphs. For homework tonight, students must construct a linear graph for Baby Michael (directions and requirements are at the bottom of this post).

Below the graph, are a copy of my notes for Cardesian Coordinates. Students were given a skeleton copy in their MTN's and instructed to copy the written portions.

 

HOMEWORK: Construct a linear graph for Baby Michael's data, include at least 5 points, a straight line connecting the points that also go beyond the two end points, arrows on both sides of the line, the slope formula, and a title. (Clean graph paper was provided for this task.)

Baby Data 2

Today's class consisted of continuing with completing tables and answering questions with our given baby data. The purpose of these exercises is to take input/output and construct a formula, then using the formula to acquire the "unknown".  This allows for further practice with solving 2-step equations (and determining when to apply PEMDAS or the "undoing" procedures). It also demonstrates how to "plug-in" known information and replace a variable as well as how formulas are flexible depending on your "knowns" and "unknowns".  This exercise, I hope, helps students' thinking to become flexible thinkers and critical readers.

By the end of tomorrow's class, I will have shared linear graphs for the three babies in Table A from the Baby Data worksheet (in MTN), students will construct a graph for Baby Michael, and informational notes will be given about graphs.

Below are the answers for the tables and my notes for the solutions.

 

IMPORTANT NOTE:  The skills check-up (quiz) was returned to students yesterday. Any student who would like to show that he/she now understands how to solve 2-step equations can retake the quiz any time. Students were told to come see me any morning before advisory.

Baby Data

Here is a copy of the work that students completed in class. This is related to the work that we completed from last week. Now students are working with a formula, but applying their knowledge from solving 2-step equations.

HOMEWORK:  Make sure that the table in part A is complete for class time tomorrow.

(In class, I shared a photo of my grand-nephew, Michael, but will not be sharing his photo online.)

2-Step Problem Answers & Quiz

Answers for last night's homework:

Then during the last 10-15 minutes, students worked independently and silently on the following sheet to allow me to assess each student's ability to solve 2-step equations.

2-Step Equation HW Answers and Solving Problems

Here are the answers to yesterday's homework. We went over the answers for 1-3. Students were told that they may complete 4-6 on their own -- check and see if they understand the steps - or - save to practice before the test. Their choice, but I will not check unless a student sees me for help.

This is a copy of today's problems.  The homework assignment is to make sure that the work is copied for problem #1 AND do any 3problems on the remaining pages.

2-Step Equations

Here are the notes and homework assignment for today.

 

Homework: Do the first 3.

Immersion Day

Here is a sampling of students working during Immersion Day #2 (for 2014-15 school year):

 

 

 

Unfortunately, I will be out tomorrow. I have given plans to Dren on 2-step equations for tomorrow. We will go over the homework at the start of Wednesday class and continue with solving problems and 2-step equations.  I WILL post a blog tomorrow with the planned notes and homework assignment.