TIPS4Math Grade 2 Addition, Subtraction and Equality Involving Numbers to 20 Overall Expectations Students will • Read, represent, compare, and order whole numbers to [20]100, and use concrete materials to represent fractions and money amounts to 100¢ (2m8) • Solve problems involving the addition and subtraction of one- and two-digit whole numbers, using a variety of strategies, and investigate multiplication and division (2m10) • Demonstrate an understanding of the concept of equality between pairs of expressions, using concrete materials, symbols, and addition and subtraction to 18 (2m60) Specific Expectations Students will: • Represent, compare, and order whole numbers to [20] 100, including money amounts to 100₵, using a variety of tools (2m11) • Compose and decompose two-digit numbers [up to 18] in a variety of ways, using concrete materials (2m13) • Describe relationships between quantities by using whole-number addition and subtraction (2m23) • Demonstrate an understanding of the concept of equality by partitioning whole numbers to 18 in a variety of ways, using concrete materials (2m68) • Represent, through investigation with concrete materials and pictures, two number expressions that are equal, using the equal sign (2m69) • Determine the missing number in equations involving addition and subtraction to 18, using a variety of tools and strategies (2m70) • Identify, through investigation, and use the commutative property of addition (2m71) • Identify, through investigation, the properties of zero in addition and subtraction (i.e., when you add zero to a number, the number does not change; when you subtract zero from a number, the number does not change) (2m72) Lesson Learning Focus Resources Solve Addition and • Solve problems that involve addition and mathies Subtraction Problems subtraction with sums to 18 (e.g., Ali and Jack • Colour Tiles Using Concrete and have 18 stickers all together. Ali has 13 stickers. • Money Tool Digital Tools How many stickers does Jack have?), including • Number Line pairs of expressions (e.g., Ali has 5 stickers, • Rekenrek Jack has 6. Meadow and John have the same • Set Tool total number of stickers. How many could • Whole Number Rods Meadow and John each have?) o use concrete/digital tools and/or drawings as the site for problem solving o share and explain strategies and representations used EduGAINS-Mathematics Page 1 of 7 TIPS4Math Grade 2 Addition, Subtraction and Equality Involving Numbers to 20 (continued) Lesson Learning Focus Resources Addition and • Add and subtract whole numbers with sums to mathies Subtraction to 18 18, including pairs of expressions (e.g., 6 + 8 = • Set Tool Using Mathematical 17 - ?), using objects on ten frames Structures that o involving two or more numbers Reinforce Anchors of o notice and name addition/subtraction 5 and 10 – Ten Frames strategies: o using known addition or subtraction facts o counting o decompose and recompose o facts with zero o commutative property for addition o compensation strategy o Make connections between addition and subtraction Decompose to • Decompose numbers up to 18 using objects on Guide to Effective Instruction: Number Sense and Establish Equality ten frames Numeration Grades 1 to 3 Using Mathematical o find all possible partitions for a given number • p 92 Ten-Frame Activities Structures that and express as sums • p 93 Ten-Frame Cards Reinforce Anchors of o justify why the partitions give the same sum 5 and 10 – Ten Frames o write the corresponding addition and mathies subtraction statements • Set Tool Determine the • Determine the missing value in an equation Guide to Effective Instruction: Patterning And Algebra Missing Number involving sums up to 18, including pairs of K to 3 Using Mathematical expressions, that make the addition and/or • p 77 Creating Equal Sets Structures that subtraction equation(s) true Reinforce Anchors of o justify equality using ten frames mathies 5 and 10 – Ten Frames • Set Tool EduGAINS-Mathematics Page 2 of 7 TIPS4Math Grade 2 Addition, Subtraction and Equality Involving Numbers to 20 (continued) Lesson Learning Focus Resources Equality Involving • Add and subtract whole numbers involving sums mathies Addition and to 18 using a Rekenrek • Rekenrek Subtraction Using the o involving two or more numbers Rekenrek o notice and name addition/subtraction strategies • Decompose numbers up to 18 o find all possible partitions for a given number and express as sums o justify why the partitions give the same sum o write the corresponding addition and subtraction statements • Determine the missing number to make the addition or subtraction equation true o justify using the Rekenrek • Make connections between addition and subtraction Equality Involving • Add and subtract whole numbers with sums to Guide to Effective Instruction: Patterning And Algebra Addition and 18 using the tool K to 3 Subtraction in Flexible o involving two or more numbers • pp 91 – 95 Combo Quest Ways Using Colour o notice and name addition/subtraction • p 97 Creating Equations with Colour Tiles Tiles strategies • p 95 Equations Game Equality Involving o demonstrate flexibility in selecting • p 95 True or False? Addition and appropriate strategies based on the numbers • p 96 Agree or Disagree? Subtraction in Flexible given • p 96 How Many Ways to Get to 11? Ways Using Relational • Decompose numbers up to 18 in flexible ways Rods using the tool mathies Equality Involving o determine all possible partitions for a given • Colour Tiles Addition and number and express as sums • Whole Number Rods Subtraction Using a o justify why the partitions give the same sum • Number Line Number Line o write the corresponding addition and • Catch a Bouncing Ball Operations – subtraction statements Whole Numbers • Determine the missing number to make the addition and/or subtraction equation(s), including pairs of expressions, true and justify using the tool • Make connections between addition and subtraction EduGAINS-Mathematics Page 3 of 7 TIPS4Math Grade 2 Addition, Subtraction and Equality Involving Numbers to 20 (continued) Lesson Learning Focus Resources Investigate the Zero • Through investigation identify the zero property mathies and Commutative and establish its validity • Colour Tiles Properties o equality is maintained when the zero property • Money Tool is applied (e.g., 5 + 3 – 0 = 8 – 0) • Number Line • Through investigation identify the commutative • Rekenrek property and establish its validity • Set Tool o equality is maintained when the commutative • Whole Number Rods property is applied (e.g., 5 + 3 = 3 + 5 o demonstrate using concrete or digital tools EduGAINS-Mathematics Page 4 of 7 TIPS4Math Grade 2 Solve Addition and Subtraction Problems Using Concrete and Digital Tools Resource URL mathies: http://mathies.ca/learningTools.php Colour Tiles mathies: http://mathies.ca/learningTools.php#Mm0 Money Tool mathies: http://mathies.ca/learningTools.php#Nn0 Number Line mathies: http://mathies.ca/learningTools.php#Rr0 Rekenrek mathies: http://mathies.ca/learningTools.php#Ss1 Set Tool mathies: http://mathies.ca/learningTools.php#Ww0 Whole Number Rods Addition and Subtraction to 18 Using Mathematical Structures that Reinforce Anchors of 5 and 10 – Ten Frames Resource URL mathies: http://mathies.ca/learningTools.php#Ss1 Set Tool Decompose to Establish Equality Using Mathematical Structures that Reinforce Anchors of 5 and 10 – Ten Frames Resource URL Guide to Effective Instruction: http://oame.on.ca/eduproject/ontariomathedresources/files/Patterning%20and%20Alge- Patterning And Algebra K to 3 bra%20K-3.pdf mathies: http://mathies.ca/learningTools.php#Ss1 Set Tool EduGAINS-Mathematics Page 5 of 7 TIPS4Math Grade 2 Determine the Missing Number Using Mathematical Structures that Reinforce Anchors of 5 and 10 – Ten Frames Resource URL Guide to Effective Instruction: Number http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20 Sense and Numeration Grades 1 to 3 Numeration%201-3%20Revised.pdf mathies: http://mathies.ca/learningTools.php#Ss1 Set Tool Equality Involving Addition and Subtraction Using the Rekenrek Resource URL mathies: http://mathies.ca/learningTools.php#Rr0 Rekenrek Equality Involving Addition and Subtraction in Flexible Ways Using Colour Tiles Resource URL Guide to Effective Instruction: http://oame.on.ca/eduproject/ontariomathedresources/files/Patterning%20and%20Alge- Patterning And Algebra K to 3 bra%20K-3.pdf mathies: http://mathies.ca/learningTools.php Colour Tiles Equality Involving Addition and Subtraction in Flexible Ways Using Relational Rods Resource URL Guide to Effective Instruction: http://oame.on.ca/eduproject/ontariomathedresources/files/Patterning%20and%20Alge- Patterning And Algebra K to 3 bra%20K-3.pdf mathies: http://mathies.ca/learningTools.php#Ww0 Whole Number Rods EduGAINS-Mathematics Page 6 of 7 TIPS4Math Grade 2 Equality Involving Addition and Subtraction Using a Number Line Resource URL Guide to Effective Instruction: http://oame.on.ca/eduproject/ontariomathedresources/files/Patterning%20and%20Alge- Patterning And Algebra K to 3 bra%20K-3.pdf mathies: http://mathies.ca/learningTools.php#Nn0 Number Line mathies: http://mathies.ca/games.php#Cc0 Catch a Bouncing Ball Operations – Whole Numbers Investigate the Zero and Commutative Properties Resource URL mathies: http://mathies.ca/learningTools.php Colour Tiles mathies: http://mathies.ca/learningTools.php#Mm0 Money Tool mathies: http://mathies.ca/learningTools.php#Nn0 Number Line mathies: http://mathies.ca/learningTools.php#Rr0 Rekenrek mathies: http://mathies.ca/learningTools.php#Ss1 Set Tool mathies: http://mathies.ca/learningTools.php#Ww0 Whole Number Rods EduGAINS-Mathematics Page 7 of 7.