Teaching Math Conceptually
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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Area and Perimeter of Triangles and Parallelograms - FREE WORKSHEET!
These worksheets include questions that are similar to ones from past provincial assessments, (Ontario) and are suitable for grades 5-8. They are part of my grades 5, 5/6 and 6 Area and Perimeter units, available in my store. These units include google slideshow lessons (easily converted to powerpoint), daily work, quizzes and a final assessment. Grade 5 Area and Perimeter Grade 6 Area and PerimeterGrade 5/6 Area and PerimeterIf you would like to see a free sample of a lesson from these unit
5th - 8th
Math, Measurement
CCSS
6.G.A.1
, 7.G.B.6
Complementary and Supplementary Angles FREE Worksheet
Two worksheets to help students practice finding supplementary and complementary angles. Questions that are similar to past provincial assessments (Ontario) are included (using a combination of interior, exterior, supplementary, and complementary angles, plus properties of triangles to solve for unknown angles). These worksheets are part of my grade 5/6 and grade 6 geometry units, which are available in my store: Grade 5/6 GeometryGrade 6 GeometryFor FREE samples of lessons and worksheets th
5th - 8th
Geometry, Math, Measurement
FREEBIE! Missing Angles, Sum of Angles in a Triangle Worksheet
A free worksheet to practice finding missing angles in triangles. Optional hands on activity presented in the format of a google slide show lesson (easily converted to powerpoint) is included. Suitable for grades 5 and up. This worksheet and hands on activity are part of the Geometry Units (New Ontario Curriculum, but concepts are similar to the Common Core) available in my store. These units integrate questions that are similar to past provincial assessments.Grade 5 GeometryGrade 5/6 Geome
5th - 10th
Geometry, Math
Mixed Numbers and Improper Fractions - FREE GAME!
A fun game for students to practice converting between mixed and improper fractions. Suitable for grades 5-8. This game is part of the fraction units that can be found in my store. Grade 5: Fractions Grade 5/6: Fractions Grade 6: FractionsAlthough they are based on the New Ontario Curriculum, they cover many common core expectations, such as: - comparing and ordering fractions- representing equivalent fractions- converting between mixed and improper fractions- fractions on a number line- o
4th - 8th
Math
Comparing and Ordering Fractions - FREE LESSON AND WORKSHEET (Ontario)
Looking for a way for your students to develop a deep conceptual understanding of fractions? This FREE worksheet and google slide lesson (which can be converted to powerpoint) focus on developing the following concepts to help your students compare and order fractions based on logical reasoning: - understanding the meaning of the numerator and denominator- representing fractions - comparing fractions based on same denominator- comparing fractions based on same numerator- comparing fractions by
3rd - 6th
Fractions, Math
CCSS
3.NF.A.1
, 3.NF.A.3d
, 4.NF.A.2
Area of Parallelograms - Free Lesson and Worksheet
Two worksheets and a hands on activity (guided by a google slideshow presentation) that helps students understand why we multiply the base by the height to find the area of a parallelogram. This lesson and worksheets are part of the area and perimeter units that can be found in my store: Grade 5 Area and Perimeter Grade 6 Area and PerimeterGrade 5/6 Area and PerimeterIf you would like to see a free sample of a lesson from this unit, click here: An Introduction to Area and PerimeterAlthough th
4th - 7th
Math, Measurement
CCSS
6.G.A.1
, 7.G.B.6
Mixed Numbers and Improper Fractions - FREE WORKSHEET!
Students practice converting between mixed and improper fractions, and using drawings to demonstrate their understanding. Suitable for grades 5-8. Looking to spiral questions similar to the provincial assessment throughout your unit? This lesson is part of the fraction units that can be found in my store. Much of the daily work, check in quizzes and final assessments include questions similar to past provincial assessments. Grade 5: Fractions Grade 5/6: Fractions Grade 6: FractionsIf you wou
4th - 8th
Math
Sum of Angles in Triangles and Quadrilaterals - FREE WORKSHEETS (and lesson)
A hands on lesson (and two follow up worksheets) to help students visually see how the angles in a triangle always add up to 180, and the angles in a quadrilateral always add up to 360. Suitable for grade 5-8. This worksheet and hands on activity are part of the Geometry Units (New Ontario Curriculum) available in my store: Grade 5 GeometryGrade 5/6 GeometryGrade 6 GeometryThese units include: - geometric properties of various types of quadrilaterals, including the properties of the diagona
5th - 8th
Geometry, Math
Intro to Order of Operations (BEDMAS) - grade 5/6 Ontario Curriculum
A quick google slide show lesson and follow up worksheet to introduce (or review!) order of operations (no exponents!). This lesson and worksheet is day 1 of my Equations and Inequalities Units. Grade 5, 5/6 and 6 available! Equations and Inequalities grade 5Equations and Inequalities grade 5/6Equations and Inequalities grade 6Questions that are similar to past provincial tests are included. Also check out the math bundles, available in my store! Everything is included (google slideshow les
5th - 8th
Math
An Introduction to Area and Perimeter (New Ontario Curriculum)
What is area? What is perimeter? What units do we use to measure each of them? This introductory lesson is a hands on exploration of these definitions and involves active student engagement in creating different rectangles with given area and perimeter measurements. The lesson is presented in google slide show format (easily converted to power point), and requires almost no prep! This exploration emphasizes growth mindset - tackling a problem when you are unsure of how to proceed. It is
4th - 6th
Math, Measurement
Patterning and Algebra Freebie - Grade 5 and 6 - Ontario
A quick worksheet to practice number patterns, including questions that are similar to past provincial assessments. Optional lesson in the form of a google slideshow is included. Suitable for Ontario or other districts where number patterns are part of the curriculum. Answers included! This lesson and worksheet are part of my patterning and algebra units, which can be found in my store: Grade 5 Patterns and AlgebraGrade 5/6 Patterns and AlgebraGrade 6 Patterns and AlgebraAlso check out the
4th - 6th
Math
FREEBIE! Place Value Lesson and Worksheet (grade 5/6 - New Ontario Curriculum)
We all know how important modelling with manipulatives is for math understanding, but how can we model numbers in the hundred thousands and millions? This free lesson includes a google slideshow with virtual manipulatives that model these very large numbers. Also included in this freebie is a worksheet (with answers). This lesson is DAY 1 of my Place Value Units (based on the New Ontario Curriculum) which can be found in my store: Grade 5 Place ValueGrade 5/6 Place ValueGrade 6 Place Value
4th - 7th
Math, Place Value
Comparing and Ordering Integers - Freebie! (Ontario)
Looking for a quick lesson and worksheet to introduce the concept of negative numbers? This google slideshow lesson helps students understand integers in real life contexts, and when using a number line. The worksheet has students using a number line and a thermometer to compare and order integers based on their understanding of what these numbers are, not based on memorized rules. This lesson and worksheet is day 1 of my mini integer unit, which covers representing, comparing, and ordering
5th - 7th
Graphing, Math
Introduction to Angles (New Ontario Curriculum) - Geometry
Your students could all show you how big a metre and a centimetre are, but could they show you how big a degree is? This introduction to angles starts with the conceptual understanding of this basic unit of measurement. The google slide lesson (easily converted to powerpoint) includes the following topics: estimating angles using benchmarks, and naming acute, obtuse, straight, right and reflex angles. There is a worksheet that includes reflex angles (grade 6), and one that does not (grade 5)
4th - 7th
Geometry, Math
FREEBIE - Probability! (Ontario - Grade 5 and 6)
A free introduction to probability, including a google slideshow lesson, worksheet and answer key! This lesson and worksheet is the first day of my probability units (Grade 5, 5/6 and 6 available - click to access): Probability Gr 5Probability Gr 5/6Probability Gr 6Looking for a math review of all topics in the New Ontario Math Curriculum? These Grade 6 math reviews can be found in my store, and cover EVERY specific expectation in the Ontario math curriculum. Many questions are based on the
5th - 6th
Math
Comparing and Ordering Decimals - Grade 5/6 - Ontario Curriculum
A quick worksheet to practice comparing and ordering decimals. Some fraction and decimal conversions are also included. Optional lesson in the form of a google slideshow is included. The lesson focuses on visualizing and representing decimals using a decimal grid, and also includes some basic fraction/decimal conversions. Suitable for Ontario or other districts where comparing and ordering decimals are part of the curriculum. Answers included! This lesson and worksheet are day 1 of my gra
4th - 7th
Math
MATH LONG RANGE PLANS (Scope and Sequence) Kindergarten (ONTARIO CURRICULUM)
Based on the new Ontario Curriculum, these kindergarten long range plans will help keep you on track, ensuring that you address every outcome throughout the year. The important number sense outcomes are spiralled (revisited throughout the year) so that students have the time they need to consolidate important counting concepts (one to one correspondence, stable order, cardinality, conservation of number, order irrelevance, more/less than, magnitude, and abstraction), as well as the important
Kindergarten
Math, Numbers
Introduction to Place Value - FREEBIE! (Grade 4 and 5 Ontario)
We all know how important it is for students to be able to visualize in math. This free google slideshow lesson and worksheet use virtual manipulatives to help students conceptually understand large numbers and the base ten pattern of our place value system. This lesson and worksheet is day two of my place value units which focuses on visualizing, writing and reading numbers to 10 000 (grade 4) and numbers to 100 000 (grade 5). Grade 4 Place Value (reading, writing, comparing/ordering, deco
3rd - 5th
Place Value
Area Game - FREE! (rectangles)
A fun area game to help students practice area of a rectangle. Suitable for grades 4-6. This game is part of the area and perimeter units that can be found in my store:Grade 5 Area and Perimeter Grade 6 Area and PerimeterGrade 5/6 Area and PerimeterIf you would like to see a free sample of a lesson from this unit, click here: An Introduction to Area and PerimeterAlthough these units are based on the New Ontario Curriculum, they meet many expectations from the Common Core: - Area of rectangl
4th - 6th
Math, Measurement
Counting With Meaning - Activities Freebie! ONTARIO and Common Core
Just because a student can say the numbers in order doesn't mean that they understand counting! This freebie includes activity ideas for all of the important counting concepts as outlined in the ONTARIO curriculum and the Common Core: One to One Correspondence: 15.2, 15.3 (Ontario); CC.B.4.A (CC) Stable Order: 15.4 (Ontario); CC.B.4.A (CC) Cardinality: 15.2 (Ontario); CC.B.4.B (CC) Magnitude: 15.1 (Ontario); CC.B.4.C (CC) More/Less Than: 15.2 (Ontario); CC.C.6 (CC) Order Irrelevance: 15.4 (O
PreK - 1st
Math, Numbers
CCSS
K.CC.B.4
, K.CC.B.4a
, K.CC.B.4b
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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.
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