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Teaching Math Conceptually

Rated 4.87 out of 5, based on 308 reviews
645 Followers
Ontario, Canada
About the store
I have been teaching for 27 years, including a 4 year assignment as a Math Coach working with teachers and students in Kindergarten to grade 8 across our district. I am currently a special education resource teacher, helping teachers support their students with learning disabilities.
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Preview of Full Year Math Bundle Gr. 5/6 (Ontario lessons, worksheets, quizzes and tests!)

Full Year Math Bundle Gr. 5/6 (Ontario lessons, worksheets, quizzes and tests!)

This grade 5/6 bundle is your complete solution! There is nothing else you need to purchase to have everything you need for your entire year; included are google slideshow lessons, student work, check in quizzes, and final assessments for every math unit in the grade 5 and 6 Ontario curriculum. Also included are grade 5/6 long range plans and a provincial test review bundle. The following units are included ( all units include google slideshow lessons, student work, check in quizzes and fina
Preview of AREA AND PERIMETER UNIT PLANS - GRADE 5/6 - NEW ONTARIO CURRICULUM

AREA AND PERIMETER UNIT PLANS - GRADE 5/6 - NEW ONTARIO CURRICULUM

Interested in the latest math research but unsure of how all of the pieces fit together? These area and perimeter plans are for you! This unit includes google slide lessons, student work, check in quizzes and a final assessment, and show you how to integrate all of the components of a successful math program: -problem solving -manipulatives -a focus on conceptual understanding -differentiation (open problems and parallel problems) -collaborative learning (partner work, whole group reasoning
Preview of Transformations (Location and Movement) - Complete Unit - Grade 5/6 Ontario

Transformations (Location and Movement) - Complete Unit - Grade 5/6 Ontario

Looking for lessons, student work and assessment materials for the Location and Movement expectations in the Ontario Curriculum? This unit is exactly what you need! A lot of students find transformations hard to visualize. This complete unit uses animated GIFs and tools such as tissue paper, cut outs and miras to help students perform translations, rotations and reflections. Included in this unit are four google slideshow lessons, daily work, a check in quiz and a final assessment (answers incl
Preview of Patterns and Algebra Unit Plans - Grade 5/6 - Ontario

Patterns and Algebra Unit Plans - Grade 5/6 - Ontario

What is the connection between patterning and algebra? How do we develop a conceptual understanding of equations and graphs? This complete grade 5/6 patterning and algebra unit integrates questions similar to the provincial assessments, follows the New Ontario Curriculum (2020), and uses google slide lessons which focus on all of the components of a successful math program: - problem solving - manipulatives - a focus on conceptual understanding - open problems - partner work - visualization
Preview of FRACTIONS UNIT PLANS - GRADE 5/6 - NEW ONTARIO CURRICULUM (2020)

FRACTIONS UNIT PLANS - GRADE 5/6 - NEW ONTARIO CURRICULUM (2020)

Looking for a way for your students to develop a deep conceptual understanding of fractions? This unit is for you! Complete with google slide lessons (which can be converted to powerpoint) using virtual manipulatives, this unit uses many questions similar to past provincial assessments and focuses on fraction number sense, using tools and drawings to represent understanding. As well, if you are uncomfortable with fractions yourself, the lessons will help you develop your own conceptual unde
Preview of Equations and Inequalities (Algebra, BEDMAS, Order of Operations) Gr 5/6 Ontario

Equations and Inequalities (Algebra, BEDMAS, Order of Operations) Gr 5/6 Ontario

Order of operations, equations and inequalities! This full unit has everything you need: google slide show lessons, daily work, check in quizzes and a final assessment (answers included!) How do we conceptually understanding algebra? How do we graph inequalities? These easy to use slide shows will guide your students through this new topic in the New Ontario Curriculum: Grade 5:C2.1: translate among words, algebraic expressions and visual representations that describe equivalent relationship
Preview of GEOMETRY UNIT (2D shapes and angles) - Grade 5/6 - NEW ONTARIO CURRICULUM

GEOMETRY UNIT (2D shapes and angles) - Grade 5/6 - NEW ONTARIO CURRICULUM

Interested in the latest math research but unsure of how all of the pieces fit together? This geometry unit is for you! These lesson plans, complete with google slide shows, student work, check in quizzes and a final assessment, show you how to integrate all of the components of a successful math program: problem solving, manipulatives, a focus on conceptual understanding, open problems, partner work, visualization, modeling, differentiation, formative assessment, small group instruction, tasks
Preview of PLACE VALUE UNIT PLANS (Grade 5/6) - New Ontario Curriculum

PLACE VALUE UNIT PLANS (Grade 5/6) - New Ontario Curriculum

Interested in the latest math research but unsure of how all of the pieces fit together? This place value unit is for you!These lesson plans, complete with google slideshow lessons, student work, check in quizzes and a final assessment, show you how to integrate all of the components of a successful math program:- problem solving (minds on, action, consolidation)- visualization (virtual manipulatives, modeling, number lines)- a focus on conceptual understanding, reasoning and justification- diff
Preview of Decimals and Percent - Grade 5/6 Unit Plans (Ontario Curriculum)

Decimals and Percent - Grade 5/6 Unit Plans (Ontario Curriculum)

The Ontario Curriculum tells us we need to have students compare and order decimals and percents using tools and drawings. What does this mean? This unit provides you with everything you need to teach decimals and percents conceptually, using a decimal grid sheet to represent these numbers. NO PREP NEEDED! Included in this unit are google slideshow lessons (easily converted to powerpoint), daily work, a check in quiz and a final assessment. Questions similar to past provincial assessments
Preview of Ratio and Unit Rate - Grade 5 and 6 - Ontario

Ratio and Unit Rate - Grade 5 and 6 - Ontario

How do we help students visualize rate and ratio problems with tools such as pictures, double number lines and ratio tables? This unit focuses on using these tools to develop a sense of proportional reasoning to solve problems, as opposed to memorizing rules and algorithms. A deep conceptual understanding supports thinking, problem solving and application skills. NO PREP NEEDED! Included in this unit are google slideshow lessons (easily converted to powerpoint), daily work, a check in quiz
Preview of FRACTIONS UNIT PLAN - GRADE 5 - NEW ONTARIO CURRICULUM (2020)

FRACTIONS UNIT PLAN - GRADE 5 - NEW ONTARIO CURRICULUM (2020)

Looking for a way for your students to develop a deep conceptual understanding of fractions? This unit is for you! Complete with google slide lessons (which can be converted to powerpoint) using virtual manipulatives, this unit focuses on fraction number sense, using tools and drawings to represent understanding. As well, if you are uncomfortable with fractions yourself, the lessons will help you develop your own conceptual understanding! The following topics are addressed: -representing pro
Preview of Linear Measurement - Grade 5/6 - Ontario Curriculum

Linear Measurement - Grade 5/6 - Ontario Curriculum

The Ontario Curriculum tells teachers to use ratio tables and visual models to represent metric conversions, but how do we do this? The google slideshows in this unit focus on using ratio tables and visual models to develop a sense of proportional reasoning to solve problems, as opposed to memorizing rules and algorithms. A deep conceptual understanding supports thinking, problem solving and application skills. Expectation addressed: E2.1 measure length using the appropriate metric units and so
Preview of Full Year Math Bundle Gr. 5 - Lessons, Worksheets, Quizzes and Tests! (Ontario)

Full Year Math Bundle Gr. 5 - Lessons, Worksheets, Quizzes and Tests! (Ontario)

This grade 5 bundle is your complete solution! There is nothing else you need to purchase to have everything you need for your entire year; included are google slideshow lessons, student work, check in quizzes, and final assessments for every math unit in the grade 5 Ontario curriculum. Also included are grade 5 long range plans. NOTE: The units in this bundle follow my long range plans. Addition and subtraction of whole numbers are addressed in the number talk section of my long range plans
Preview of Division (Area Model and Algorithm) - Complete Unit - Ontario - Grade 5/6

Division (Area Model and Algorithm) - Complete Unit - Ontario - Grade 5/6

How do you teach kids the area model of division? How does this connect to the algorithm? This unit focuses on developing a deep conceptual understanding of what division is, how we model it, and how we can efficiently and quickly use an algorithm to solve questions. This is a complete unit based on the following expectations in the Ontario Curriculum. It includes google slideshow lessons, daily work, check in quizzes and a final assessment. You do not need to purchase anything else! Gra
Preview of FRACTION UNIT PLANS - GRADE 6 - NEW ONTARIO CURRICULUM (2020)

FRACTION UNIT PLANS - GRADE 6 - NEW ONTARIO CURRICULUM (2020)

Looking for a way for your students to develop a deep conceptual understanding of fractions? This unit is for you! Complete with google slide lessons (which can be converted to powerpoint) using virtual manipulatives, this unit uses many questions similar to past provincial assessments, and focuses on fraction number sense, and using tools and drawings to represent understanding. As well, if you are uncomfortable with fractions yourself, the lessons will help you develop your own conceptual
Preview of Mass and Capacity - Grade 5/6 - 2020 Ontario Curriculum

Mass and Capacity - Grade 5/6 - 2020 Ontario Curriculum

How do we help students convert between metric units based on conceptual understanding? This unit focuses on using ratio tables to develop a sense of proportional reasoning to solve problems, as opposed to memorizing rules and algorithms. A deep conceptual understanding supports thinking, problem solving and application skills. NO PREP NEEDED! Included in this unit are two google slideshow lessons (easily converted to powerpoint), daily work, a check in quiz and a final assessment - all with an
Preview of Grade 3/4 - MATH LONG RANGE PLANS - New Ontario Curriculum - Scope and Sequence

Grade 3/4 - MATH LONG RANGE PLANS - New Ontario Curriculum - Scope and Sequence

Worried about covering everything before the provincial assessment? Head back to school feeling confident and organized! These long range plans are all that you need to ensure that you have a clear plan to address every outcome in the NEW ONTARIO MATH CURRICULUM. Included in the plans are two different sections: a 10 minute a day number talk plan, and a math block plan.  Review days are embedded to ensure that students see topics more than once a year to maximize retention.  The plans are orga
Preview of GEOMETRY UNIT (2D shapes and angles) - grade 5 - NEW ONTARIO CURRICULUM

GEOMETRY UNIT (2D shapes and angles) - grade 5 - NEW ONTARIO CURRICULUM

Interested in the latest math research but unsure of how all of the pieces fit together? This geometry unit is for you! These lesson plans, complete with google slideshows (easily converted to powerpoint) , student work, check in quizzes and a final assessment, show you how to integrate all of the components of a successful math program: problem solving, manipulatives, a focus on conceptual understanding, open problems, partner work, visualization, modelling, differentiation, formative assessm
Preview of Place Value - Complete Grade 4/5 Unit - Ontario

Place Value - Complete Grade 4/5 Unit - Ontario

Help your students develop a deep conceptual understanding of numbers and place value with this ready to go complete unit (google slideshow lessons, daily work, check in quizzes, and final assessment - answers included!). This unit is based on recent research in mathematics: Lessons are based on virtual and concrete manipulatives, helping students problem solve using visualization. Student voice and growth mindset are emphasized with activities that focus on student thinking and reasoning. Fo
Preview of Grade 4/5 - MATH LONG RANGE PLANS - New Ontario Curriculum - Scope and Sequence

Grade 4/5 - MATH LONG RANGE PLANS - New Ontario Curriculum - Scope and Sequence

Head back to school feeling confident and organized! These long range plans are all that you need to ensure that you have a clear plan to address every outcome in the NEW ONTARIO MATH CURRICULUM. Included in the plans are two different sections: a 10 minute a day number talk plan, and a math block plan. The plans are spiralled (concepts are reviewed throughout the year) so that students have ample opportunity to practice the foundational number sense concepts and relationships so critical to la
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About the store

Experience

I have been teaching for 27 years, including a 4 year assignment as a Math Coach working with teachers and students in Kindergarten to grade 8 across our district. I am currently a special education resource teacher, helping teachers support their students with learning disabilities.

Teaching style

My goal when working with students is to help them develop a deep conceptual understanding of math concepts based on reasoning, problem solving and real life experiences. For early primary students, this means understanding that counting is much more than saying the numbers, and operational sense is much more than being able to fill out worksheets. For junior and intermediate students, this means providing them with a program that includes all of the components of a successful math program: a focus on conceptual understanding, problem solving, manipulatives, mental math, small groups instruction, large group consolidation, partner work, math games, differentiation (low floor, high ceiling tasks), mathematical modelling, ongoing formative assessment and independent practice. For these reasons, the materials in my store provide both the math theory and research, and activities that promote curiosity, engagement, problem solving, reasoning, growth mindset and a deep conceptual understanding. Please reach out if you have any questions! I hope to slowly build my store with the materials I have developed over my years supporting teachers. Check back soon!

Awards & shining teacher moments

In 2018, I was asked to speak at the 'Teaching Math Through Problem Solving 2' Conference in Toronto, Ontario: https://event-wizard.com/teachingmaththroughroblemsolving2018/0/welcome/ Here is a link to my speaker page! https://sites.google.com/view/otffeomath/session-facilitators/chris-smith What an amazing time, connecting with like-minded educators from across Ontario!

My own education history

Growing up I HATED math. It was a ridiculous subject that simply required you to memorize formulas and plug numbers in. It was dry. It was boring. It was a waste of time. That all changed 20 years ago when I picked up a book by John A Van De Walle entitled 'Elementary and Middle School Mathematics - Teaching Developmentally'. This book changed my life, and opened the doors to conceptual understanding in math. Suddenly, math was beautiful. It was everywhere. And it explained the world around me. Over the years I have seen the dramatic difference that teaching conceptually can make in the life of a child, and this has inspired me to share this love through being a Math Coach in my district, and now here, in this forum.