## Grade Two Mathematics

Students will develop an understanding of three general units: Numbers, Patterns and Relations, Shape and Space: Measurement, and 3-D/2-D objects.

Children’s early experiences shape what they imagine to be possible. Study after study has shown the value of exposing children with positive role models. Representation, including in the hours spent consuming media within the classroom, shape what they imagine to be possible for people who look like them, live where they live, or come from where they came from. Simply put, kids determine what they can be based on the examples around them. Therefore, we highly recommend you take 2-5 minutes everyday in your math class to introduce mathematicians of colour. We've made this easy for you by creating a presentation that you can use with a slide a day to showcase a new mathematician of diverse background. You could do this on a daily, weekly, bi-weekly or during a certain month. You could also make your own presentation and encourage this representation.

K-6 Mathematicians of Colour by Canadian Cultural Mosaic Foundation

__Mathematicians of colour to introduce to your class related to the Alberta curriculum__**The Exceptional Life of Benjamin Banneker Mathematician: Benjamin Banneker**

Short video biography of African-American mathematician Benjamin Banneker. Banneker invented the first clock that struck hourly, after teaching himself mathematics. Banneker was also known for being outspoken on issues around slavery and racial injustice in the US.

**Curriculum connection:**Develop Number Sense

- 1a. Say the number sequence 1 to 10 by 1s - starting anywhere from 1 to 10 and from 10 to 1

- 3a. Relate a numeral 1 to 10 to its respective quantity**Suggested use:**- Although the resource itself is very text heavy, could be used to expose the students to a Black mathematician who invented something important that will still use today. Could do classroom activities using clocks and various timers, relating the numbers to quantities, practicing counting the sequence to 12**Accessibility:**- Accessible for nonverbal and hard of hearing (depending on reading ability)

**Mary Jackson - Educational Video Mathematician: Mary Jackson**

Educational video describing the life of Mary Jackson, one of NASA's first female engineers and mathematicians who contributed to the first trip to the moon.

**Curriculum connection:**Shape and Space & Measurement

- 3e. Replicate composite 2-D shapes and 3-D objects

- 4e. Compare 2-D shapes to parts of 3-D objects in the environment**Suggested use:**

- Could be used as an introduction/inspiration to a building/design challenge involving outcomes related to Shape & Space. Relate classroom activities such as measurement, building, design & testing back to the profession of engineering and Mary Jackson's example**Accessibility:**

- Accessible for nonverbal (manual transcription)

- Video does not include closed caption or descriptive captioning

**Develop Number Sense****Mathematics of the Americas: Activity Booklet**

PDF of various mathematics activities that incorporate lessons about mathematics developed in various South American civilizations (Aztec and Inca). The activities span across all grades, with specific pages relating to K-3 math curriculum.

**Curriculum connection:**

- 4a. Represent and describe numbers to 100 concretely and pictorially**Suggested use:**

- Create own counting tools with loose parts related to the materials in the document (i.e. shells, beads, rocks, sticks)**Accessibility:**

- Accessible for nonverbal and hard of hearing

**Ojibwemotaadidaa! - Let's Speak Ojibwe (To One Another)**

Video of counting in the language of Ojibwe. The video is almost 30 minutes long. Counting to 10 begins at 1:05 - 2:34.

**Curriculum connection:**

- 1a. Say the number sequence 1 to 100 by 2s, 5s and 10s, forward and backward, using starting points that are multiples of 2, 5 and 10 respectively**Suggested use:**

- Watch the video and learn to count in Ojibwe. Learn about the traditional languages spoken on the land where you are and how to count to 100 in them. Have students share their home languages and ways that they count to 100. Create a classroom number wall or book to show all the diverse languages the class has collected and how to count to 100**Accessibility:**

- Accessible for nonverbal and hard of hearing (auto-generated captions, dependent on reading ability)

**Count to 100 - Anthony Broughton (MiSTER B)**

Students can learn to count to 100, with this fun, upbeat song.

**Curriculum connection:**

- 1a. Say the number sequence 1 to 100 by 2s, 5s and 10s, forward and backward, using starting points that are multiples of 2, 5 and 10 respectively**Suggested use:**

- Play story before a math lesson on counting. Create centres that allow students the opportunity to count various groups of objects multiple times, like in the story, and help them to notice patterns related to the quantity of objects in groups (i.e. 2 things vs. 10 things)**Accessibility:**

- Accessible for nonverbal

- Captions not available, additional accommodations may be required for visually impaired students as descriptive captioning is not available

**Living Maya Time**

Math games that teach the Aztec counting method, that utilized various symbols for numerical quantities. The games are simple, and can easily be played in a computer lab or in a classroom on a projector.

**Curriculum connection:**

- 4a. Represent and describe numbers to 100 concretely, pictorially, and symbolically**Suggested use:**

- Follow up activity after class practices with loose parts related to the materials in the document (i.e. shells, beads, rocks, sticks). Students could use technology to independently practice this system of counting and representing numbers to 100. Teachers should also be sure to clarify for students that this number system is a base-20 system, vs the system we currently use which is a base-10 system**Accessibility:**

- Accessible for nonverbal and hard of hearing, dependent on reading ability - additional accommodations may be required

**Basic Addition for Kindergarten**

In this video, the children will learn about the basic things about addition. Concepts, symbols and some ways of adding numbers are discussed in a way that the kids would find it fun and easy. Here, addition with the use of objects, numerals, and adding in vertical and horizontal ways are shown.

**Curriculum connection:**

- 9a. Demonstrate an understanding of addition of numbers with answers to 100 and their corresponding subtraction facts concretely/ pictorially and symbolically (familiar mathematical language/ problem solving contexts/ model using visual representations)**Suggested use:**

- Introduction of general math concepts and abstract thought in math. Assign basic math worksheets relating to a number line**Accessibility:**

- Accessible for nonverbal, hard of hearing

- Auto-captioned - dependent on reading ability. Additional accommodations may be required for visually impaired students as descriptive captioning is not available

**Wendy, Alex and Lyndon Learn Math & Numbers for the School Exam**

Wendy, Alex and Lyndon have a math test and need to learn simple addition and subtraction. This fun video for kids will help them learn the importance of studying and learning math.

**Curriculum connection:**

- 9a. Demonstrate an understanding of addition of numbers with answers to 100 and their corresponding subtraction facts concretely/ pictorially and symbolically (familiar mathematical language/ problem solving contexts/ model using visual representations)**Suggested use:**

- Discussion of basic math. Introduction to number lines and basic equations**Accessibility:**

- Accessible for nonverbal, hard of hearing

- Auto-captioned - dependent on reading ability. Additional accommodations may be required for visually impaired students as descriptive captioning is not available

**Basic Subtraction for Kindergarten**

In this video, the children will learn about the basic concepts in subtraction. They will learn about the different ways on how to do it properly. They will also learn about the different techniques on finding the difference more efficiently and easily.

**Curriculum connection:**

- 9a. Demonstrate an understanding of addition of numbers with answers to 100 and their corresponding subtraction facts concretely/ pictorially and symbolically (familiar mathematical language/ problem solving contexts/ model using visual representations)**Suggested use:**

- Discussion of basic math/subtraction. Introduction to number lines and basic equations**Accessibility:**

- Accessible for nonverbal, hard of hearing

- Auto-captioned - dependent on reading ability. Additional accommodations may be required for visually impaired students as descriptive captioning is not available

**Place Value Song For Kids Ones, Tens, & Hundreds**

This video is a song that will teach children about place value.

**Curriculum connection:**

- 7a. Illustrate, concretely and pictorially, the meaning of place value for numerals to 100**Suggested use:**

- Introduction to place value and larger numbers - have class assignment on basic place values, up to 100**Accessibility:**

- Accessible for nonverbal, hard of hearing

- Auto-captioned - dependent on reading ability. Additional accommodations may be required for visually impaired students as descriptive captioning is not available

**Subtraction 1 to 9**

A video that teaches the concept of subtraction and how one goes about subtracting numbers.

**Curriculum connection:**

- 9a. Demonstrate an understanding of addition (limited to 1- and 2-digit numerals) with answers to 100 and the corresponding subtraction by: using personal strategies/ use of manipulatives/ problem solving/ commutative property (order doesn't impact sum when adding)/ order impacts the difference during subtraction**Suggested use:**

- Discussion of basic math/subtraction. Introduction to number-lines and basic equations**Accessibility:**

- Accessible for nonverbal, hard of hearing

- Auto-captioned - dependent on reading ability. Additional accommodations may be required for visually impaired students as descriptive captioning is not available

**Math For Kids - Introduction to Addition**

A video that introduces students to the concept of addition.

**Curriculum connection:**

- 9a. Demonstrate an understanding of addition (limited to 1- and 2-digit numerals) with answers to 100 and the corresponding subtraction by: using personal strategies/ use of manipulatives/ problem solving/ commutative property (order doesn't impact sum when adding)/ order impacts the difference during subtraction**Suggested use:**

- Discussion of basic math/addition

- Introduction to number lines and basic equations**Accessibility:**

- Accessible for nonverbal, hard of hearing

- Auto-captioned - dependent on reading ability. Additional accommodations may be required for visually impaired students as descriptive captioning is not available

**Suanpan - The Chinese Abacus**

This document contains some exercises that be used with a simple abacus to learn how to add, subtract or multiply/divide. Since this aligns with curriculum between K-3 and 4-6, this document can be used for both age groups.

**Curriculum connection:**- 4a. Represent and describe numbers to 100, concretely, pictorially and symbolically

- 10a. Describe and use mental mathematics strategies for basic addition facts and related subtraction facts to 18**Suggested use:**- Have class create their own abacus tools with cardboard, pipe cleaners, and beads

- Highlight origin country**Accessibility:**- Accessible for hard of hearing, and nonverbal

**Aboriginal Perspectives: Number Concepts**

This page provides an activity for teachers to use in first grade math classrooms, but can be adapted. This activity focuses on the significance of the land to various First Nations communities while also educating student about counting numbers in specific units (ie. counting by 2's, 5's, etc.)

**Curriculum connection:**

- 1a. Say the number sequence 0 to 100 by: 1s forward between any two given numbers. 1s backward from 20 to 0. 2s forward from 0 to 20. 5s and 10s forward from 0 to 100

- 6a. Estimate quantities to 20 by using referents (similar looking)**Suggested use:**

- Classroom activities outlined on the website**Accessibility:**

- Additional accommodations required for all nonverbal, hard of hearing, and visually impaired students

**Counting Coins Song for Kids | Learning About Money Song For Kids**

A video that teaches children about the value of coins through song.

**Curriculum connection:**

- 4a. Represent and describe numbers to 100, concretely, pictorially and symbolically**Suggested use:**

- Introduction to counting currency and using something other than basic numbers. Have students learn different currency amounts, and complete worksheets of basic addition and subtraction of currency**Accessibility:**

- Accessible for nonverbal, hard of hearing

- Auto-captioned - dependent on reading ability. Additional accommodations may be required for visually impaired students as descriptive captioning is not available

**Multicultural Game from Africa and Asia: Mancala**

Mancala is a multicultural game that has been around for centuries. Forms of this game were played in ancient Africa and Asia. There are many different names, boards and rules of play for Mancala, but most are played on wooden boards with beads, stones or glass game pieces. Children in Africa would play by scooping holes in the dirt to create a game board. Refer to website for full game-play instructions.

**Curriculum connection:**- 4a. Represent and describe numbers to 100, concretely, pictorially and symbolically**Suggested use:**- Class activity for students to play a math game**Accessibility:**- Accessible for nonverbal and hard of hearing

**Aboriginal Perspectives: Addition and Subtraction**

This website provides a lesson plan on how to introduce the concept of addition and subtraction. The activity centers the math education around an Indigenous framework, referencing various Indigenous individuals to introduce addition and subtraction.

**Curriculum connection:**- 9a. Demonstrate an understanding of addition (limited to 1- and 2-digit numerals) with answers to 100 and the corresponding subtraction by: using personal strategies/ use of manipulatives/ problem solving/ commutative property (order doesn't impact sum when adding)/ order impacts the difference during subtraction**Suggested use:**- Classroom activities outlined on the website**Accessibility:**- Accessible for nonverbal and hard of hearing

**Small Number Counts to 100**

Video that presents a mathematics problem in context of a young Indigenous boy living on the reserve. The video provides a math problem for student to solve while also describing and showcasing various aspects of Indigenous culture, specifically highlighting Treaty 7 (Blackfoot and Cree languages).

**Curriculum connection:**

- 1a. Say the number sequence 0 to 100 by: 1s forward between any two given numbers. 1s backward from 20 to 0. 2s forward from 0 to 20. 5s and 10s forward from 0 to 100

- 3a. Demonstrate an understanding of counting by: indicating that the last number said identifies "how many" and showing that any set has only one count/ using counting-on/ using parts or equal groups to count sets**Suggested use:**

- Use as an open ended number talk at the beginning of a lesson to introduce concepts of skip counting and number patterns**Accessibility:**

- Accessible for nonverbal and hard of hearing, dependent on reading ability

**5 Times Table Song | Skip Counting by 5 Rap For Kids**

A song teaching kids how to skip count by the multiple of 5.

**Curriculum connection:**

- 1a. Say the number sequence 0 to 100 by: 2s, 5s and 10s, forward and backward, using starting points that are multiples of 2, 5 and 10 respectively**Suggested use:**

- Introduction to basic multiplication. Have students complete basic math problems using multiples of 5's

- Create centres that allow students the opportunity to count various groups of objects multiple times, like in the story, and help them to notice patterns related to the quantity of objects in groups (i.e. 2 things vs. 10 things)**Accessibility:**

- Accessible for nonverbal and hard of hearing

- Auto-captioned - dependent on reading ability. Additional accommodations may be required for visually impaired students as descriptive captioning is not available

__Patterns and Relations__**Learning Patterns for Kids**

This video will teach the children to observe the patterns and/or sequence of the arrangement of objects. This video introduces the concept of arranging and sequencing numbers. The patterns represented here are a simple, interesting way for kids to easily learn.

**Curriculum connection:**

- 1a. Demonstrate an understanding of repeating patterns (three to five elements) by: describing, extending, comparing, and creating patterns using manipulatives, actions, sounds, and actions**Suggested use:**

- Introduction into patterns and sequences

- Assign basic arrangement problems that the students must solve. Hold a class discussion about sequences observed in everyday life**Accessibility:**

- Accessible for nonverbal and hard of hearing

- Auto-captioned - dependent on reading ability. Additional accommodations may be required for visually impaired students as descriptive captioning is not available

__Shape and Space: Measurement & Shape and Space__**Aboriginal Perspectives: Shape and Space**

This activity uses various objects related to Indigenous culture to facilitate conversations for students about shape and space, objects, and dimensions. This activity also introduces mathematical language relating to the unit.

**Curriculum connection:**

- 6e. Sort 2-D shapes and 3-D objects using two attributes and explain the sorting rule**Suggested use:**

- Classroom activities outlined on the website**Accessibility:**

- Accessible for nonverbal (excluding discussion portion) hard of hearing, visually impaired (provided hands-on access to materials and student opportunities to interact with 3D objects)

**Aboriginal Perspectives: Size and Weight**

This activity centers around building a tipi using various objects relating to Indigenous culture.

**Curriculum connection:**

- 2d. Relate the size of a unit of measure to the number of units (limited to nonstandard units) used to measure length and mass (weight)

- 3d. Compare and order objects by length, height, distance around and mass (weight), using nonstandard units, and make statements of comparison**Suggested use:**

- Classroom activities outlined on the website**Accessibility:**

-Accessible for nonverbal and hard of hearing

**Aboriginal Perspectives: Calendars**

This class activity uses important dates within Indigenous communities to help students build an understanding of the months in a year.

**Curriculum connection:**

- 1d. Relate the number of days to a week and the number of months to a year in a problem-solving context**Suggested use:**

- Classroom activities outlined on the website itself**Accessibility:**

- Accessible for nonverbal and hard of hearing

**Basic Measurement**

Short video explaining differences in size between a spider, ladybug, and ant.

**Curriculum connection:**

- 2d. Relate the size of a unit of measure to the number of units (limited to nonstandard units) used to measure length and mass (weight)**Suggested use:**

- Discuss size comparison between objects to introduce measurement

- Have students organize objects by size (worksheet), hold a discussion on how they made their choices**Accessibility:**

- Accessible for nonverbal

- No captions available

**3D Shapes Song For Kids | Spheres, Cylinders, Pyramids, Cubes, & Cones**

This video is a song that will teach children about shapes.

**Curriculum connection:**- 6e. Sort 2-D shapes and 3-D objects using two attributes and explain the sorting rule**Suggested use:**- Introduction to 3D shapes

- Classroom activity around building with 3D shapes/puzzles**Accessibility:**- Accessible for nonverbal (excluding discussion portion) hard of hearing, visually impaired (provided hands-on access to materials and student opportunities to interact with 3D objects)

__Develop Number Sense__**Egyptian Mathematics**

The Egyptians were the first known civilization to create a visual number system through the usage of hieroglyphics. Additionally, Egyptian mathematics were important in creating multiplication functions, that are now used to code modern computers.

**Curriculum connection:**

- 4a. Represent and describe numbers to 100 concretely and pictorially

- 5a. Compare and order numbers up to 100**Suggested use:**

- Use to represent examples of diverse number systems when learning about our base ten number system - display as part of a number wall that includes examples of diverse number systems and languages

- Incorporate into centres using loose parts and having students match the symbol with a quantity of items

- After introducing, have students create their own counting tools, such as an abacus or rekenrek, using beads, string, wires, cardboard, or other materials

**The History of the Abacus**

This document shares a brief history of the abacus and its development in ancient China. The abacus can be used for counting, addition, subtraction, multiplication, division, etc. Based on the curriculum, abacus math is appropriate for K-3 and 4-6 math.

**Curriculum connection:**- 1a. Say the number sequence 0 to 100 by: 2s - 5s and 10s - forward and backward - 10s using starting points from 1 to 9 - 2s - starting from 1**Suggested use:**- Use to represent examples of diverse number systems when learning about our base ten number system - display as part of a number wall that includes examples of diverse number systems and languages

- Incorporate into centres using loose parts and having students match the symbol with a quantity of items

- After introducing, have students create their own counting tools, such as an abacus or rekenrek, using beads, string, wires, cardboard, or other materials

**Math Strategies for Teaching Place Value in Elementary School : Understanding Math**

This video explains strategies to use when teaching place values.

**Curriculum connection:**

- 4a. Represent and describe numbers to 100 concretely, pictorially, and symbolically

**Teaching Mathematics for Social Justice: Conversations with Educators**

Book that discusses the challenges and strengths of incorporating anti-racism and social justice into math education. The book describes ways to do this and the nuances and sensitivities needs to do this properly in a classroom setting.