Grade 1 Math Curriculum Ontario

Master Grade 1 Math: From Counting to 50 to Spatial Sense with Engaging, Personalized Tutoring

Core Grade 1 Math Study Points

Number Sense: Reading, representing, comparing, ordering, and composing/decomposing whole numbers up to 50.
Spatial Sense (Location and Movement): Understanding symmetry, describing relative locations using positional language (e.g., above, below, left, right), and navigating basic grids.
Measurement Attributes: Identifying, comparing, and ordering objects based on measurable attributes like length, area, mass, capacity, and angle (e.g., long/short, heavy/light).
Time: Reading dates on a calendar and identifying days of the week, months, holidays, and seasons.

Skills available for Ontario grade 1 math tutoring curriculum

Objectives: Ontario Curriculum
1.B Number
1.B1 Number Sense
Whole Numbers
1.B1.1 read and represent whole numbers up to and including 50, and describe various ways they are used in everyday life
Writing numbers in words – convert words to digits (1-A.14)
Writing numbers in words – convert digits to words (1-A.15)
1.B1.2 compose and decompose whole numbers up to and including 50, using a variety of tools and strategies, in various contexts
Make a number different ways using cubes – sums up to 10 (1)
Count to fill a ten frame (1-A.2)
Count tens and ones – up to 20 (1-A.4)
Make teen numbers with models: words (1-S.1)
Take apart teen numbers with models: words (1-S.2)
Make teen numbers with models: addition sentences (1-S.3)
Take apart teen numbers with models: addition sentences (1-S.4)
Make and take apart teen numbers with models: addition sentences (1-S.5)
Place value models up to 20 (1-S.6)
Ways to make a number: tens and ones (1-S.)
Place value models up to 40 (1)
Write numbers as tens and ones – up to 50 (1)
1.B1.3 compare and order whole numbers up to and including 50, in various contexts
Comparing – review (1-T.1)
Comparing numbers up to 20 (1-T.2)
Comparing numbers up to 100 (1-T.3)
Comparison word problems (1-T.4)
Put numbers in order – up to 20 (1-T.5)
Put numbers in order – up to 100 (1-T.6)
Use place value to compare numbers up to 40 (1)
Comparing numbers up to 50 using words (1)
Put numbers in order – up to 50 (1)
1.B1.4 estimate the number of objects in collections of up to 50, and verify their estimates by counting
Estimate to the nearest ten (1-B.6)
1.B1.5 count to 50 by 1s, 2s, 5s, and 10s, using a variety of tools and strategies
Counting review – up to 10 (1-A.1)
Counting review – up to 20 (1-A.3)
Count on ten frames – up to 40 (1-A.5)
Count objects to 100 (1-A.6)
Count forward – up to 100 (1-A.8)
Skip-count by twos (1-B.1)
Skip-count by fives (1-B.2)
Skip-count by tens (1-B.3)
Skip-count by twos and fives (1-B.4)
Skip-count by twos, fives and tens (1-B.5)
Skip-counting sequences with twos, fives and tens (1)
Fractions
1.B1.6 use drawings to represent and solve fair-share problems that involve 2 and 4 sharers, respectively, and have remainders of 1 or 2
Halves and fourths (1-HH.2)
Make halves and fourths (1-HH.4)
Make halves and fourths in different ways (1-HH.6)
1.B1.7 recognize that one half and two fourths of the same whole are equal, in fair-sharing contexts
1.B1.8 use drawings to compare and order unit fractions representing the individual portions that result when a whole is shared by different numbers of sharers, up to a maximum of 10
1.B2 Operations
Properties and Relationships
1.B2.1 use the properties of addition and subtraction, and the relationship between addition and subtraction, to solve problems and check calculations
Add in any order (1-E.1)
Complete the addition sentence to make ten – with models (1-E.3)
Complete the addition sentence – make ten (1-E.4)
Complete the addition sentence – sums up to 10 (1-F.4)
Relate addition and subtraction sentences – up to 10 (1-I.3)
Complete the subtraction sentence – up to 10 (1-J.5)
Related addition facts (1-L.1)
Related subtraction facts (1-O.1)
Relate addition and subtraction sentences – up to 20 (1-O.2)
Fact families – up to 10 (1-R.3)
Math Facts
1.B2.2 recall and demonstrate addition facts for numbers up to 10, and related subtraction facts
Addition facts – sums up to 10 (1-F.1)
Subtraction sentences up to 10: which model matches? (1-H.3)
Subtract zero and all (1-H.5)
Subtraction facts – up to 10 (1-J.1)
Adding 1 (1-M.1)
Adding 2 (1-M.2)
Adding 3 (1-M.3)
Adding 4 (1-M.4)
Adding 5 (1-M.5)
Adding 6 (1-M.6)
Adding 7 (1-M.7)
Adding 8 (1-M.8)
Adding 9 (1-M.9)
Adding 0 (1-M.11)
Addition facts – sums up to 20 (1-M.12)
Subtracting 1 (1-P.1)
Subtracting 2 (1-P.2)
Subtracting 3 (1-P.3)
Subtracting 4 (1-P.4)
Subtracting 5 (1-P.5)
Subtracting 6 (1-P.6)
Subtracting 7 (1-P.7)
Subtracting 8 (1-P.8)
Subtracting 9 (1-P.9)
Subtracting 0 (1-P.11)
Subtraction facts – up to 20 (1-P.12)
Addition and subtraction facts – up to 10 (1-R.4)
Addition and subtraction facts – up to 20 (1-R.5)
Mental Math
1.B2.3 use mental math strategies, including estimation, to add and subtract whole numbers that add up to no more than 20, and explain the strategies used
Add by counting on – sums up to 10 (1-E.2)
Subtract zero and all (1-H.5)
Subtract by counting back – up to 10 (1-I.1)
Subtract by counting on – up to 10 (1-I.2)
Use addition to subtract – up to 10 (1-I.4)
Add by counting on – sums up to 20 (1-L.3)
Add doubles (1-L.4)
Add using doubles plus one (1-L.5)
Add using doubles minus one (1-L.6)
Use ten frames to add (1-L.8)
Make ten to add (1-L.9)
Subtract by counting back – up to 20 (1-O.4)
Use ten frames to subtract (1-O.5)
Use ten to subtract (1-O.6)
Use addition to subtract – up to 20 (1-O.7)
Subtract by counting on – up to 20 (1-O.8)
Subtract doubles (1-O.9)
Addition and Subtraction
1.B2.4 use objects, diagrams, and equations to represent, describe, and solve situations involving addition and subtraction of whole numbers that add up to no more than 50
Add with cubes – sums up to 10 (1-D.1)
Add with pictures – sums up to 10 (1-D.2)
Addition sentences up to 10: which model matches? (1-D.3)
Addition sentences up to 10: what does the model show? (1-D.4)
Addition sentences using number lines – sums up to 10 (1-D.5)
Turn words into an addition sentence – sums up to 10 (1-D.6)
Addition word problems with pictures – sums up to 10 (1-G.1)
Addition sentences for word problems with pictures – sums up to 10 (1-G.)
Addition word problems – sums up to 10 (1-G.2)
Addition sentences for word problems – sums up to 10 (1-G.3)
Subtract with cubes – up to 10 (1-H.1)
Subtract with pictures – up to 10 (1-H.2)
Subtraction sentences up to 10: which model matches? (1-H.3)
Subtraction sentences using number lines – up to 10 (1-H.4)
Subtraction word problems with pictures – up to 10 (1-K.1)
Subtraction sentences for word problems with pictures – up to 10 (1-K.)
Use cube trains to solve subtraction word problems – up to 10 (1-K.)
Subtraction word problems – up to 10 (1-K.2)
Subtraction sentences for word problems – up to 10 (1-K.3)
Addition sentences using number lines – sums up to 20 (1-L.2)
Addition word problems – sums up to 20 (1-N.1)
Addition sentences for word problems – sums up to 20 (1-N.2)
Subtraction sentences using number lines – up to 20 (1-O.3)
Subtraction word problems – up to 20 (1-Q.1)
Subtraction sentences for word problems – up to 20 (1-Q.2)
Addition and subtraction facts – up to 20 (1-R.5)
Word problems with one addend unknown – up to 10 (1-R.)
Addition and subtraction word problems – up to 20 (1-R.6)
Use models to add a two-digit and a one-digit number – without regrouping (1-U.6)
Use models to add a two-digit and a one-digit number – with regrouping (1-U.8)
Add and subtract – up to 40 (1-W.3)
Addition and subtraction word problems – up to 40 (1-W.4)
Multiplication and Division
1.B2.5 represent and solve equal-group problems where the total number of items is no more than 10, including problems in which each group is a half, using tools and drawings
Equal parts (1-HH.1)
1.C Algebra
1.C1 Patterns and Relationships
Patterns
1.C1.1 identify and describe the regularities in a variety of patterns, including patterns found in real-life contexts
1.C1.2 create and translate patterns using movements, sounds, objects, shapes, letters, and numbers
Colour patterns (1-DD.1)
Size patterns (1-DD.2)
Shape patterns (1-DD.3)
Continue a pattern (1-DD.6)
1.C1.3 determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in patterns
Sequences – count up and down by 1, 2, 3, 5 and 10 (1-B.9)
Find the next shape in a pattern (1-DD.4)
Complete a pattern (1-DD.5)
Growing patterns (1-DD.8)
Find the next shape in a growing pattern (1-DD.9)
Find the next row in a growing pattern (1-DD.10)
1.C1.4 create and describe patterns to illustrate relationships among whole numbers up to 50
Counting patterns – with tables (1-B.8)
1.C2 Equations and Inequalities
Variables
1.C2.1 identify quantities that can change and quantities that always remain the same in real-life contexts
Equalities and Inequalities
1.C2.2 determine whether given pairs of addition and subtraction expressions are equivalent or not
Make a number using addition – sums up to 10 (1-F.2)
Make a number using subtraction – up to 10 (1-J.2)
Make a number using addition – sums up to 20 (1-M.13)
Make a number using subtraction – up to 20 (1-P.13)
1.C2.3 identify and use equivalent relationships for whole numbers up to 50, in various contexts
Ways to make a number – addition sentences (1-F.3)
Ways to make a number – subtraction sentences (1-J.3)
Ways to subtract from a number – subtraction sentences (1-J.4)
Addition and subtraction – ways to make a number (1-R.1)
1.C3 Coding
Coding Skills
1.C3.1 solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves sequential events
1.C3.2 read and alter existing code, including code that involves sequential events, and describe how changes to the code affect the outcomes
1.D Data
1.D1 Data Literacy
Data Collection and Organization
1.D1.1 sort sets of data about people or things according to one attribute, and describe rules used for sorting
1.D1.2 collect data through observations, experiments, or interviews to answer questions of interest that focus on a single piece of information; record the data using methods of their choice; and organize the data in tally tables
Which tally chart is correct? (1-CC.3)
Data Visualization
1.D1.3 display sets of data, using one-to-one correspondence, in concrete graphs and pictographs with proper sources, titles, and labels
Which pictograph is correct? (1-CC.1)
Make pictographs with pictures (1-CC.)
Make pictographs with symbols (1-CC.)
Which table is correct? (1-CC.5)
Show data in different ways (1-CC.)
Data Analysis
1.D1.4 order categories of data from greatest to least frequency for various data sets displayed in tally tables, concrete graphs, and pictographs
Interpret pictographs (1-CC.2)
Interpret tally charts (1-CC.4)
Interpret data in tables (1-CC.6)
1.D1.5 analyse different sets of data presented in various ways, including in tally tables, concrete graphs, and pictographs, by asking and answering questions about the data and drawing conclusions, then make convincing arguments and informed decisions
Interpret pictographs (1-CC.2)
Interpret tally charts (1-CC.4)
Interpret data in tables (1-CC.6)
1.D2 Probability
Probability
1.D2.1 use mathematical language, including the terms “impossible”, “possible”, and “certain”, to describe the likelihood of events happening, and use that likelihood to make predictions and informed decisions
More, less and equally likely (1-JJ.1)
Certain, probable, unlikely and impossible (1-JJ.2)
1.D2.2 make and test predictions about the likelihood that the categories in a data set from one population will have the same frequencies in data collected from a different population of the same size
1.E Spatial Sense
1.E1 Geometric and Spatial Reasoning
Geometric Reasoning
1.E1.1 sort three-dimensional objects and two-dimensional shapes according to one attribute at a time, and identify the sorting rule being used
Classify and sort (1)
1.E1.2 construct three-dimensional objects, and identify two-dimensional shapes contained within structures and objects
Two-dimensional shapes in the real world (1-EE.3)
Identify shapes traced from solids (1-FF.7)
Identify faces of three-dimensional shapes (1-FF.8)
1.E1.3 construct and describe two-dimensional shapes and three-dimensional objects that have matching halves
Symmetry (1-EE.13)
Location and Movement
1.E1.4 describe the relative locations of objects or people, using positional language
In front of and behind (1-GG.1)
Above and below (1-GG.2)
Beside and next to (1-GG.3)
Left, middle and right (1-GG.4)
Top, middle and bottom (1-GG.5)
Location in a grid (1-GG.6)
1.E1.5 give and follow directions for moving from one location to another
Flip, turn and slide (1-EE.12)
1.E2 Measurement
Attributes
1.E2.1 identify measurable attributes of two-dimensional shapes and three-dimensional objects, including length, area, mass, capacity, and angle
Long and short (1-X.1)
Tall and short (1-X.2)
Light and heavy (1-X.3)
Holds more or less (1-X.4)
Square corners (1-EE.7)
Equal sides (1-EE.8)
1.E2.2 compare several everyday objects and order them according to length, area, mass, and capacity
Order objects: length and height (1-X.)
Compare size, weight and capacity (1-X.5)
Time
1.E2.3 read the date on a calendar, and use a calendar to identify days, weeks, months, holidays, and seasons
Days of the week (1-AA.1)
Months of the year (1-AA.2)
Seasons of the year (1-AA.3)
Read a calendar (1-AA.4)
1.F Financial Literacy
1.F1 Money and Finances
Money Concepts
1.F1.1 identify the various Canadian coins up to 50¢ and coins and bills up to $50, and compare their values
Coin values (1-BB.1)
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