Math Dictionary & Charts
Be sure to use these excellent resources to help you with the math words and ideas we learn this year!
Virtual Manipulatives
Chapter 1 - Patterning
In this unit, we will learn to create, extend, and describe repeating and growing patterns. The activities below in blue will help us develop these skills:
First, let's watch this video to get the basics. Now, play the game to make sure you understand!
Take this quiz to check your understanding of repeating patterns. If you master Paul Pattern, you're on the right track! Play Flower Frenzy to practice finding patterns in a series.
The video can also help us understand growing patterns.
First, let's watch this video to get the basics. Now, play the game to make sure you understand!
Take this quiz to check your understanding of repeating patterns. If you master Paul Pattern, you're on the right track! Play Flower Frenzy to practice finding patterns in a series.
The video can also help us understand growing patterns.
Take this quiz to check your understaning of growing patterns.
If you're still not sure about growing patterns, try this video.
If you're still not sure about growing patterns, try this video.
Chapter 2 - Representing Numbers
Numbers can be represented, or shown in different ways. For example, the number 25 can be represented by the numeral - this means the number itself (25). In expanded form, you break up a number to show how much each number represents (20 + 5). If we say 2 tens and 5 ones, we are using numerals and words. The number words for this example is twenty-five.
Grade 2s, let's begin here.
Grade 3s, start with place value basics. Now, let's begin practicing with models, numerals and words, and expanded form here. Practice working with base ten blocks here. If you aren't sure about spelling number words, use the list below to help you.
Grade 3s, start with place value basics. Now, let's begin practicing with models, numerals and words, and expanded form here. Practice working with base ten blocks here. If you aren't sure about spelling number words, use the list below to help you.
Important Number Words List
Comparing and Ordering Numbers
We can use this activity to compare 2 and 3 digit numbers on a number line. We will be using the video link below to make sure we understand how to order the digits in proper order.
Show me the money!
Let's get to work using what we have learned about skip couning to count coin values. This basic note is a good starting point. Boys and girls, when we count quarters, we need skip count by 25s. For grade 3s, it is the same idea for counting loonies (1 dollar) and toonies (2 dollars); we skip count by 100s and 200s to find the values.
Let's practice to see if we are Money Masters!
Let's practice to see if we are Money Masters!
Chapter 3 - Data Management
Boys and girls, this month we will be learning a variety of skills related to data management. We will start by sorting and classifying objects using Venn diagrams. A Venn diagram is a graphic organizer that helps us sort objects by 2 attributes at the same time. Let's try practicing using a Venn diagram at the Logic Zoo.
Now, let's use this the Venn Diagram Shape Sorter to get started on Lesson 1.
Grade 2 Homework - Practice Reading and Interpreting Bar Graphs here.
Grade 3 Activity - Practice this sorting numbers activity in your math notebook. In case you forgot what odd and even numbers are, click the picture below to review.
Now, let's use this the Venn Diagram Shape Sorter to get started on Lesson 1.
Grade 2 Homework - Practice Reading and Interpreting Bar Graphs here.
Grade 3 Activity - Practice this sorting numbers activity in your math notebook. In case you forgot what odd and even numbers are, click the picture below to review.
Conducting a Survey
Grade 2 and 3 Activity - To learn about how to collect data, we can ask a question to people. One way to collect that data or information, is to use tally marks. Learn more about tally marks here.
Pictographs (pictograms)
A pictograph or pictogram also helps us organize and represent data. Read this data on pictographs. Don't forget to look at the scale of a pictograph to make sure you understand how to read the information on a pictograph.
Try your luck with pictograms here.
Try your luck with pictograms here.
Chapter 7 - 2D Geometry
Let's get to work on shapes of all types! 2 dimensional, or 2D shapes are flat. We can see the difference between 2D and 3D shapes here. Practice with this 2D shapes activity before you continue. As you have seen, all shapes have attributes or properties, including the number of sides. This webpage will help you remember the number of sides for different 2D shapes.
2D shapes also have edges and vertices. Let's look at this video to see if you can figure out what these words mean. Mathisfun.com gives up a good note to review.
Give this tangram game a try!
2D shapes also have edges and vertices. Let's look at this video to see if you can figure out what these words mean. Mathisfun.com gives up a good note to review.
Give this tangram game a try!
Congruent shapes
Congruent means the same size and shape. Let's look at some activities to explore congruent shapes, and also how to communicate why some shapes are, or are not congruent. This activity will help us learn to explain why shapes are congruent.
Try this game to see if you understand congruency:
Try this game to see if you understand congruency:
Lines of Symmetry
A shape has lines of symmetry if it can be folded to create congruent parts. Different shapes have a different number of lines of symmetry. Like we talked about today, if the shape is regular, or equilateral, this will help us find the number of lines of symmetry for that shape.
Take a look at this lesson to review.
Check to see if you understand the ideas by sorting shapes with symmetry here.
If you are a symmetry master, you can try this activity.
Take a look at this lesson to review.
Check to see if you understand the ideas by sorting shapes with symmetry here.
If you are a symmetry master, you can try this activity.
Grade 2 - Polygon Playground
Get some practice making pictures with shapes here! Just drag the shape on to the page. Don't be shy, grade 3s, you can give it a try too!
Chapter 5 - Measurement
In this unit, we will look at measuring things, time, and temperature. Measuring means to find a number that shows the size or amount of something. Before we begin, we need to be sure that we understand important measurement words. Do you know what length means? Click the picture below if you need to review.
You can quickly practice measuring length by using our dictionary at the top of the page.
Estimating, or thoughtful guesses, are an important part of measurement. Let's try this activity to use non-standard units of measurement. What is a non-standard unit of measurement? Let's keep practicing. Click the BOLD and DARING game modes to learn more.
Here are some more important definitions for width, and height.
Estimating, or thoughtful guesses, are an important part of measurement. Let's try this activity to use non-standard units of measurement. What is a non-standard unit of measurement? Let's keep practicing. Click the BOLD and DARING game modes to learn more.
Here are some more important definitions for width, and height.
Non-standard units - centimetres (cm)
To make a good estimate, we can use non-standard units like parts of our body to help. As we talked about yesterday, a child's fingertip is about 1 cm. The width of a child's hand with the fingers spread is about 10 cm.
Try measuring centimetres here.
Non-standard units - metres (m)
Just like with centimetres, we can use a personal non-standard unit to estimate length in metres. The length of a child's giant step may be about 1 m.
About 1 m
About 1 m
As you are starting to see, a centimetre is shorter than a metre. You need 100 centimetres to equal a metre in length (100 cm = 1 m). Try out this metre game to measure the height of some animals. This next game is more challenging, see if you can compare cm to m in measurement mania.
Kilometres (km) - like we discussed, kilo- means one thousand. There are one thousand metres in a kilometre - 1000 m = 1 km. It is hard to visualize, but it takes about 15 minutes for a grade 2 or 3 student to walk a km! Have you ever walked a long distance? Take a look at this drawing of our city to try to visualize the 1000 giant steps it would take to walk about 1 km!
Kilometres (km) - like we discussed, kilo- means one thousand. There are one thousand metres in a kilometre - 1000 m = 1 km. It is hard to visualize, but it takes about 15 minutes for a grade 2 or 3 student to walk a km! Have you ever walked a long distance? Take a look at this drawing of our city to try to visualize the 1000 giant steps it would take to walk about 1 km!
Perimeter
Now let's use our measuring skills! Perimeter means the distance around a shape or object. In order to find the perimeter, you need to be able to measure each side of a shape or object first!
Now, add each side length to find the perimeter:
7 cm + 10 cm + 7 cm + 4 cm = 28 cm
The perimeter of this trapezoid is 28 cm.
Let's practice perimeter here! If you still need more help to understand perimeter, try this video. If you are ready, grade 2s get to work here, and grade 3s begin here.
7 cm + 10 cm + 7 cm + 4 cm = 28 cm
The perimeter of this trapezoid is 28 cm.
Let's practice perimeter here! If you still need more help to understand perimeter, try this video. If you are ready, grade 2s get to work here, and grade 3s begin here.
Measuring Time (Grade 2 Chapter 10)
Before we begin working on measuring time in our notebooks and duo tangs, let's look at this activity to check what we know about clocks, hours, and minutes. Can we answer the questions below?
How many minutes are there in an hour?
60 |
What does the small hand measure?
hours |
What does the big hand measure?
minutes |
If you need some more help, look at this video from TVOKids. We can practice estimating and measuring elapsed time in hours and minutes here. Practice your time telling to the hour here. See if you can tell the right time after you Stop the Clock!
Quarter past, half past, & quarter to...
As you know, we can tell time in many different ways, and some of these are shown in the pictures below.
Here is an explanation, and a review video from YouTube:
Chapter 4: Addition and Subtraction
Over the next few weeks, we'll be working on our adding and subtracting skills, so you can get started and try out these games to practice your adding:
Hectic Arithmetic
Coin Combo
Grade 2s: you can review your skills for one-digit addition to sums of 10 here.
Hectic Arithmetic
Coin Combo
Grade 2s: you can review your skills for one-digit addition to sums of 10 here.
Fact Families Practice:
A fact family can help us understand the connection between addition and subtraction. A family works together, and a fact family is a family of numbers that create addition and subtraction facts by working together. Let's look at this video to learn more.
If you understand how to use addition and subtraction together, try this game out! See if you can make the mummy dance!
Grade 3: Adding Tens (2-digit numbers)
If you know how to add ones, then you also know how to add tens! Let's look at this note on adding tens. The same idea applies for subtracting tens. If you want as challenge, we can use this great website to help us understand how to add two 2-digit numbers by separating the tens and ones.
Grade 2: Adding Doubles
Like fact families, we can use double facts to add larger sums. Try the Monkey Drive game we played today to practice adding doubles. You can also use Robin Hood Archery Doubles, and Robin Hood Archery Doubles beyond 10. Here's one more game, and if you're ready for a quiz, click here.
...and doubles plus one, or plus two...mental math!
When we understand how to add doubles, we can then use this strategy to help answer different adding questions. Look at the videos below to see how.
Grade 2s, if you need extra practice, try this worksheet out.
Grade 3 - Mental Math & Estimating to add & subtract
Just like the grade 2s have been working on using different strategies to add, you can also use what you know about rounding to add. Let's look at this quick video to review how to round numbers.
If you need more practice with rounding to estimate, look at this longer video or try this interactive number line on stage 1 or 2. Let's look at these notes, they will help us see that we can use rounding to estimate the sum and difference of two numbers. TVO Kids gives a good explanation that will help us now, and in later lessons.
Adding & Subtracting 2-digit numbers - Regrouping and no regrouping
We can use what we have learned so far to add and subtract 2-digit numbers. Let's start with adding first. Take a look at the first video for adding without regrouping - with base ten models - to get started.
The next example below uses adding with regrouping, which means showing a number in a different way.
Let's try this activity first before we look at the next video. In the next video, we see the same strategy explained, but without the base ten models.
If you want to read more, try this explanation. If you think you're ready, try this 2 digit addition game!
Subtracting 2-digit Numbers
Subtracting 2-digit numbers can be easy if we remember some important rules. Let's look at subtracting without regrouping, and with regrouping.
Subtracting with regrouping can be more difficult, so let's use these videos to help!
If you think you're ready, try Fruit Shoot Subtraction to test your skills. Can you actually master Level 7?
Grade 2 & 3 Measurement: Area
Let's begin working with another form of measurement which is area. We need to look at perimeter again, so we can scroll up, or look at this video from TVO Kids. This activity will help us work with different shapes to explore area. Practice with this quiz to improve your measuring skills!
Now that we know that area is the amount of space the surface of a shape or object takes up, we can work towards our goals for this unit: to estimate, measure, and compare area in different objects. We also learned that the standard unit of measurement for area is square units. We can also measure area in non-standard units! Look at the difference in the pictures below.
Now that we know that area is the amount of space the surface of a shape or object takes up, we can work towards our goals for this unit: to estimate, measure, and compare area in different objects. We also learned that the standard unit of measurement for area is square units. We can also measure area in non-standard units! Look at the difference in the pictures below.
This activity can help us review area, but also look at more challenging ideas too! Let's focus on lessons 1, 2, 4, and 5.
Challenge! In this activity, I'm sure you can answer the area for shape A, but what about shape B?
Challenge! In this activity, I'm sure you can answer the area for shape A, but what about shape B?
Where are you going? Moving on a Grid...
We can use what we've learned in area to build our mapping skills too! Let's use this activity to learn how to describe moving on a grid. Don't forget to use your order words to help you give a clear description. We also need to use the words up, down, left, and right.
Chapter 9: Multiplication
Take a look at this video to help us get started with multiplication. How is multiplication like adding?
Try this game out to see if you are getting the idea. This next video teaches us another important rule for multiplication.
As we now understand, multiplication is adding equal groups. We can use the repeated addition strategy, or we can model the equal groups. We can also use a number line to help. Let's take a look at the videos below.
We can try the example questions on this page to check our understanding. We can try this page with this number line!
Multiplying with Arrays
Don't forget important multiplication words and phrases like equal groups. This idea helps use another strategy for multiplication, arrays. An array teaches us about equal rows. We need to know the difference between rows and columns. We can use this picture to get started. This link, and this video will help too.
How many rows are there in this array?
How many bottles are in each row?
What is the multiplication sentence to show the equal rows in the array?
How about the addition sentence for this array?
Let's take a closer look here, or you can play this game to test your skills! A trip to Tony's Tire Shop will test how quick you are with your multiplication sentences. Multibounce is a great practice game too!
How many bottles are in each row?
What is the multiplication sentence to show the equal rows in the array?
How about the addition sentence for this array?
Let's take a closer look here, or you can play this game to test your skills! A trip to Tony's Tire Shop will test how quick you are with your multiplication sentences. Multibounce is a great practice game too!
Chapter 10: Division
Now that we have become multiplication masters, we can use what we know about multiplication to figure out division! Division is just the opposite of multiplication. We will start with this picture in class, but you can also read this note at home.
This video will help us understand the basic idea of dividing into equal groups. How is this the opposite of multiplication?
Here is another video example if you need to see more. Try this grouping game to practice. See if you can use your division skills to get the deliveries ready at the Jelly-Fish Fruit Snack Factory.
You can check your progress with the Ambleweb Division machine. As we move along, don't forget your multiplication facts to help you with division. If multiplication is repeated addition, and division is the opposite of multiplying, then division must be...
Here is another lesson we can use, and we can also look at some student examples here.
If you think you're ready to work with division sentences, try Demolition Division! Some of you wondered about dividing with arrays, so let's take a look.
If you think you're ready to work with division sentences, try Demolition Division! Some of you wondered about dividing with arrays, so let's take a look.
Chapter 12: Fractions
Let's get started on fractions. A fraction is a part of a whole, so if you ate that piece of pizza, what is the fraction? We need to review some basic information to help us learn more. We can start with this note, or this activity.
This next activity gives us more important details.
If you're ready, let's try Fraction Shoot Out or Fraction Booster to get some practice!
This next activity gives us more important details.
If you're ready, let's try Fraction Shoot Out or Fraction Booster to get some practice!
Mixed Fractions
Now that you understand fractions as parts of a group or whole, we can get to work on mixed fractions. This note will help us get started, or we can also you this web lesson.
Try this game out to see if you are on the right track!
Try this game out to see if you are on the right track!
Chapter 13: Probability
Do you know what probability is? Before we do some reading, turn to your elbow partner to talk about it. Now, let's compare what we know with this note or video. We can get a better idea with this lesson too.
After we try Probability Pond, we can get to work with our textbook to see how likely or unlikely some events are. Build some more probability skills here!
This activity will allow us to review basic probability, and also to conduct some experiments together.
Now that we understand that probability can described in math words, we can use this activity to connect probability with fractions!
After we try Probability Pond, we can get to work with our textbook to see how likely or unlikely some events are. Build some more probability skills here!
This activity will allow us to review basic probability, and also to conduct some experiments together.
Now that we understand that probability can described in math words, we can use this activity to connect probability with fractions!
Communicating Probability
To share what we've learned about probability, we need to use math language to describe probability. When we are writing an answer to a question, we have to remember to explain our thinking in order to paint a clear picture for the audience we are sharing it with.
Use the communication checklist adapted from Nelson Mathematics to help you along the way as you show what you know!
Here is a question for you to practice with a partner:
There are 6 blue triangles and 6 red triangles in a bag. Mr. G wants a blue triangle, and Mr. C wants a red one. They both pull a triangle out of the bag without looking. Who is more likely to get the color they want? Explain.
Don't forget to use the checklist when you are done. You can check the example below to compare!
Use the communication checklist adapted from Nelson Mathematics to help you along the way as you show what you know!
Here is a question for you to practice with a partner:
There are 6 blue triangles and 6 red triangles in a bag. Mr. G wants a blue triangle, and Mr. C wants a red one. They both pull a triangle out of the bag without looking. Who is more likely to get the color they want? Explain.
Don't forget to use the checklist when you are done. You can check the example below to compare!
Communication Example.docx | |
File Size: | 29 kb |
File Type: | docx |
Chapter 11: 3D Shapes
Welcome to another dimension, literally! Since we know that 2D shapes are flat, what makes a 3D shape? What are the 3 dimensions? Let's use this activity to get started.
This interactive lesson will also help. See if you can identify 3D shapes in Shapes Shoot!
Nets are 2D shapes that we can turn into 3D shapes! Let's learn more here.
Now, if you are 3D master, you are ready to save the planet by taking the Mission 2110 Roboidz.
3D Measurement: Capacity & Mass
This video will help us get started on working with 3D measurement:
Try this game from PBS Kids to practice making smart choices with capacity. Can you fill 1 litre up with different capacity measures? Try here. The video below can help us remember what capacity is, but also how to compare different units that measure capacity!
Chapter 14: Patterns & Motion in Geometry
We're almost there boys and girls! Let's take a closer look at movement in geometry. This activity will help us get started. Use this video to help you understand the different types of movements. This lesson will help us learn more, but also build important math language.
Once you get the hang of it, you can try out this Shapes Shoot or RoboPacker to practice your skills.
Once you get the hang of it, you can try out this Shapes Shoot or RoboPacker to practice your skills.