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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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
6th - 9th
Algebra
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
6th - 9th
Algebra, Basic Operations, Mental Math
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
6th - 8th
Algebra, Math
CCSS
6.EE.A.2
, 6.EE.A.3
, 7.EE.A.1
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
6th - 8th
Algebra, Math, Math Test Prep
CCSS
7.EE.A.1
, 7.EE.B.3
, 7.EE.B.4a
+1
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
7th - 9th
Algebra, Math, Math Test Prep
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
8th - 10th
Algebra, Math, Math Test Prep
Integer Rules Posters
This is a two poster set that explains the rules of adding, subtracting, multiplying, and dividing positive and negative numbers.
4th - 9th, Adult Education
Algebra, Arithmetic, Math
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
7th - 9th
Algebra, Math, Math Test Prep
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
6th - 8th
Algebra, Basic Operations, Math
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
6th - 8th
Algebra, Basic Operations, Math
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
7th - 8th
Algebra, Basic Operations, Math
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
6th - 9th
Algebra, Arithmetic, Math
CCSS
7.EE.A.1
, 7.EE.A.2
, 7.EE.B.3
+3
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
6th - 8th
Algebra, Basic Operations, Math
Practicing Transformations - Translations, Reflections, Rotations
This is a set of practice pages that I created to help my students to better understand transformations. It is geared towards 8th grade students in California completing Common Core 8th grade curriculum.
It has concepts that include:
- Translations and writing the coordinate rule
- Reflections over various lines (no coordinate rule)
- Rotations around various points (no coordinate rule)
It includes four pages that has the student draw an object after following various directions.
It also i
8th - 10th
Algebra, Geometry, Math
Algebra Topics Mastery Posters
This is a collection of mastery posters from algebra 1.
They include the following topics:
- Exponents
- Roots
- Fractional exponents
- Simplifying expressions
- Solving linear equations
- Solving linear inequalities
- Graphing linear equations
- Graphing linear inequalities
- Using the point slope form of the equation
- Solving systems of equations and inequalities
- Operations of polynomials
- Simplifying polynomial fractions
- Solving rate, percent mixture, and work problems
- Using the qu
7th - 9th
Algebra, Math
Distributive Property as Groups of Items
This is an activity 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).
This year while discussing how to view the e
6th - 8th
Algebra, Basic Operations, Math
Four in a Row - Multiplying Variables
Four in a Row - Game board for integers and variables.
This is the game board for the Four in a Row game that has students multiply integers and variables.
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 placed up
7th - 9th
Algebra, Basic Operations, Math
Multiple Methods to Solve Equations
This is a set of seven worksheets having students solve equations in two different ways. Each page contains two different equations and has the student solve it in different methods side by side. Students can practice a variety of methods to arrive at the same solutions. By solving each equation in two different ways it encourages students to explore different possible methods of obtaining a solution instead of relying solely upon their favorite method.
These pages were designed with the 7
6th - 8th
Algebra, Math, Math Test Prep
CCSS
7.EE.B.4a
Quadratics, Factors, Expressions, and Parabolas
This is a combination of two different activities I created for my students to connect together, quadratic equations, factors, roots, and parabolas. I really wanted to help my students to deepen their understanding that these things work in concert together. It appeared to really help them and they seemed to enjoy working on these pages.
This activity is based upon the style of questions asked by the Smarter Balanced Assessment Consortium. Instead of simply asking students to pick the one cor
7th - 9th
Algebra, Math, Math Test Prep
Polygon Flow Chart
This is a flow chart that describes polygons.
It gives a short description for various polygons and shows how a square can be described as a combination of the shapes that come before it.
This flow chart covers:
- quadrilaterals
- trapezoid
- parallelogram
- rectangle
- rhombus
- square
I have also included two different versions of the flow chart depending upon your definition of a trapezoid (apparently there are two different opinions about what exactly a trapezoid is.)
6th - 9th
Algebra, Geometry, Math
Showing 1-20 of 21 results
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.
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