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Mathmematics Through Numeracy

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Springville, California, United States
About the store
This is my 30th year in mathematics education. I currently teach 8th grade mathematics and have spent the majority of my career in middle school settings. Over the years, I’ve taught a wide range of courses including 5th grade self-contained, 6th grade math, pre-algebra, algebra, math intervention, and math enrichment. My experience reflects a deep commitment to supporting students at various levels of mathematical understanding.
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Preview of Expressions, Equations, Inequalities - Student Activity Cards

Expressions, Equations, Inequalities - Student Activity Cards

Short Product Intro: This resource contains 108 pages of original, bilingual student activity cards for the Expressions, Equations, and Inequalities unit. Print the pages back-to-back so English appears on one side and Spanish on the other; some pages already have both languages side-by-side. After printing, cut the cards apart so each problem is its own card. Use them with the Building Thinking Classrooms framework by assigning students to random groups and having them solve the problems coll
Preview of Non-curricular Tasks for Middle School

Non-curricular Tasks for Middle School

This document is a collection of 123 student problem-solving cards designed for use with the Building Thinking Classrooms framework by Peter Liljedahl. Each card is formatted so it can be printed back-to-back, with English on one side and Spanish on the other, making them accessible for bilingual learning environments. After printing, the cards will need to be cut apart so each problem becomes its own separate card. The problems have been gathered from a wide variety of sources and are not all
Preview of Dot Card - Number Talks

Dot Card - Number Talks

This is a set of number talk dot-cards. Dot-cards are a good introductory activity for introducing number talks to your students. Number talks are a great activity for students to do to help assist them with their number sense. The basic idea behind number talks is to have students discuss various ways to solve calculation problems. Dot cards help introduce that concept to students by allowing them to be able to visualize different ways to groups objects together. To use them you simply s
Preview of Combining Like Terms - A Visual Connection

Combining Like Terms - A Visual Connection

This is a set of worksheets designed to help students to understand in a logical fashion why we can only combine like terms. Frequently students will want to be able to combine the variable coefficients with the constants in an expression such as 6x + 4. Students will often want to combine those terms and give an answer of 10x. I came up with a method of visually demonstrating to students that combining like terms is just as simple as the sorting activities that they completed when they were
Preview of Expressions and Equations Worksheets - Common Core Style

Expressions and Equations Worksheets - Common Core Style

This is a set of worksheets that are involving simplifying expressions and solving equations and inequalities. They were created to give my students more opportunities to engage in common core styles of thinking. My 7th grade math students will be taking the SBAC (smarter balanced) assessment to determine their mastery of the common core standards and I did not have enough material that was similar in style to those types of questions and thus I made these to assist them in expanding their lev
Preview of Basic Facts Mastery Practice

Basic Facts Mastery Practice

The basic facts practice pages are a quick, daily, facts practice program designed to encourage automaticity within a student’s numeracy knowledge. With this program you will be able to automatically provide for differentiation within this single self-contained 10 minute activity. All facts practice pages contain 70 questions and are expected to be answered within seven minutes and thirty seconds. The students should then correct their own papers and record the results in a graphical manner
Preview of Algebra Flash Cards & Example Problems

Algebra Flash Cards & Example Problems

These are flash cards that I created as examples for my algebra students. I got a little carried away and ended up making a flash card for every term within our course. I also made an example problem for the various terms. You can print them out and fold them in half and be able to see just the word and the question with the definition and answer on the back. That way they create a set of flash cards. As a class activity or a group activity you could print the pages, cut them apart and d
Preview of Identifying Answers of System of Inequalities - Common Core Style

Identifying Answers of System of Inequalities - Common Core Style

This is three different versions of the same activity. Students are shown a system of inequalities and the graph it produces on a coordinate grid. There are 10 different points placed onto the graph and students are asked to sort the 10 points on a T chart into either answers or not answers. After they sort them on the T chart the students are asked to provide justifications for some of their beliefs. I have included three different versions of the activity as well as answer examples for a
Preview of Integer Rules Posters

Integer Rules Posters

This is a two poster set that explains the rules of adding, subtracting, multiplying, and dividing positive and negative numbers.
Preview of Math Study Pages

Math Study Pages

These are copies of something I was asked to create to go into the calendar for our school. We were able to include anything into the students planners that we wanted and as a math department we decided to include these. I personally hand created everything that is on these pages and I thought maybe someone else out there would be able to find a use for them. These pages cover the following topics: - basic fraction operations - various geometry formulas - fraction/decimal/percent conversions
Preview of Factoring Sorting in Common Core Style - Trinomials

Factoring Sorting in Common Core Style - Trinomials

This is a set of 5 questions that asks students to sort given expressions into two columns based upon if they are equivalent to the given trinomial polynomial or not. The trinomials presented represent a range of styles: - A trinomial with positive coefficients - A trinomial with negative coefficients - A trinomial with a greatest common factor - A trinomial with A > 1 - A trinomial with A > 1 and a GCF This activity is based upon the style of questions asked by the Smarter Balanced Asse
Preview of Distributive Property - Modeling & Writing

Distributive Property - Modeling & Writing

This is another activity, to the first one on I put up on TPT, that I created based upon a teaching method that I employ to assist my students in understanding how to apply the distributive property. Frequently when I teach my students how to use the distributive property with just multiplication techniques the students often obtain an incorrect expression. Example: 2(3x + 4) is equivalent to 6x + 8 but often my students will give 6x + 4 because they will incorrectly only multiply 2(3x). T
Preview of Distributive Property through Area Models

Distributive Property through Area Models

This is a series of activities having students apply the distributive property to determine the area for various models. Each problem has: - a context – a real world situation for the problem - an area model - equivalent expressions - and for numeric expressions it also has the traditional algorithm There are four example questions provided where everything is completed for the students. The remaining problems have some or all of the sections missing. The students are expected to fill in th
Preview of Bowling for Numbers - Order of Operations

Bowling for Numbers - Order of Operations

This is an activity that engages students in working with order of operations problems. When I tried it out with my students, they were pretty excited about it, and I was surprised to find that every student was working on the problems. The basics of this activity are that students are trying to use three numbers to create the numbers 1 through 10. The students roll three dice and then use those numbers to write math expressions, that are properly written to simplify to the given number. The
Preview of Number Talk - Addition with Animation

Number Talk - Addition with Animation

This is a PowerPoint presentation with animation that I have created to help my students and other teachers with doing number talks. This presentation asks for students to solve an addition problem in three different ways. Once you have given your students an appropriate amount of time, you can click forward through the animations which will show the students examples of different ways to solve the problems. They are then asked to share the methods that they came up with other students. Abou
Preview of Four in a Row - Multiplying Integers

Four in a Row - Multiplying Integers

Four in a Row - Game board for multiplying integers up to 81. This is the game board for the Four in a Row game that has students multiply integers to achieve products up to 81. In addition to this file, I recommend you download the FREE directions on my TPT page. The game of four in a row is a two player game for students in various grade levels. It helps to reinforce basic skills in a fun engaging game. The various games boards are designed around a variety of skills. The first few tha
Preview of Expressions and Equations SBAC Practice - Claim 1

Expressions and Equations SBAC Practice - Claim 1

Do you know what the Item Specifications are? If you are teaching within the states that use the Smarter Balanced Assessment Consortium, SBAC, assessments then I hope you know about the Item Specifications. These are freely available documents, but I have found they are becoming more challenging to find them online. What is so wonderful about the Item Specifications is that they not only show you examples of questions that will be on the summative assessment, but they also explain how the ite
Preview of Four in a Row - Multiplying up to 100

Four in a Row - Multiplying up to 100

Four in a Row - Game board for multiplying up to 100. This is the game board for the Four in a Row game that has students multiply numbers to achieve products up to 100. In addition to this file, I recommend you download the FREE directions on my TPT page. The game of four in a row is a two player game for students in various grade levels. It helps to reinforce basic skills in a fun engaging game. The various games boards are designed around a variety of skills. The first few that I have
Preview of Tree Diagram - Marble Experiment Without Replacement

Tree Diagram - Marble Experiment Without Replacement

This is an activity having the students complete a tree diagram for an experiment involving 5 marbles; 1 black, 2 white, and 2 grey marbles. The experiment does not have the students replace the marbles after drawing them. A tree diagram is provided as assistance for the students. The students are expected to write out all of the possible combinations, outcomes, for the experiment. Then they are two calculate the probabilities for each of the different possible outcomes. There are also ei
Preview of Four in a Row - 4 Game Boards

Four in a Row - 4 Game Boards

Within this file I have bundled my students four favorite game boards. Each file alone would cost you $1.95, so by buying them altogether in this file, you are saving money off of each game board. Four in a Row - Game board for multiplying up to 50. This is the game board for the Four in a Row game that has students multiply numbers to achieve products up to 50. Four in a Row - Game board for multiplying up to 100. This is the game board for the Four in a Row game that has students multip
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About the store

Experience

This is my 30th year in mathematics education. I currently teach 8th grade mathematics and have spent the majority of my career in middle school settings. Over the years, I’ve taught a wide range of courses including 5th grade self-contained, 6th grade math, pre-algebra, algebra, math intervention, and math enrichment. My experience reflects a deep commitment to supporting students at various levels of mathematical understanding.

Teaching style

Over the past two years, I have transformed my approach to teaching mathematics by fully embracing the Building Thinking Classrooms framework developed by Peter Liljedahl. My students work in small, randomly assigned groups at vertical whiteboards placed around the room. This method is the foundation of my instruction—not just an occasional problem-solving activity—and is used to deliver nearly all of the course content. The result is a vibrant classroom energized by music, movement, and deep mathematical thinking.

Awards & shining teacher moments

Honoree of Tulare County Community Advisory Committee (CAC) which is an organization that includes several parents of students with special needs. As appointed by Tulare County school districts and the Tulare County Board of Education, one of the committee's many duties is to honor people, agencies and businesses that support special education.

My own education history

BA - CSULB MS credential - CSULB Supplemental Math Credential - CSULB

Additional biographical information

I currently teach at a middle school in Porterville CA at the same school as my wife, who teaches Language Arts.