School City of Hobart
School City of Hobart Mathematics

Mathematics - Mathematics - Grade 1

Mathematics - Grade 1

In this technological age, mathematics is more important than ever. When students leave school, they are more and more likely to use mathematics in their work and everyday lives - operating computer equipment, planning timelines and schedules, reading and interpreting data, comparing prices, managing personal finances, and completing other problem-solving tasks. What they learn in mathematics and how they learn it will provide an excellent preparation for a challenging and ever-changing future.


Number Theory

    Number Sense
The learner will be able to understand symbols, objects, and pictures used to represent numbers up to 100 and show an understanding of fractions.
Strand Source
Number Sense IDOE
  
    1.1.1
The learner will be able to count, read, and write whole numbers* up to 100. * whole numbers: 0, 1, 2, 3, etc.
Strand Source
Number Sense IDOE
Assessment Resources
- Whole Numbers to 100, McGraw-Hill, Form B, skill test [CTB].  
- Whole Numbers to 100, McGraw-Hill, Form A, skill test [CTB].  
  
    1.1.2
The learner will be able to count and group objects in ones and tens.
Strand Source
Number Sense IDOE
  
    1.1.3
The learner will be able to identify the number of tens and ones in numbers less than 100.
Strand Source
Number Sense IDOE
Assessment Resources
- Numbers of Tens and Ones, McGraw-Hill, Form B, skill test [CTB].  
- Numbers of Tens and Ones, McGraw-Hill, Form A, skill test [CTB].  
  
    1.1.4
The learner will be able to name the number that is one more than or one less than any number up to 100.
Strand Source
Number Sense IDOE
Assessment Resources
- Number One Less or One More, McGraw-Hill, Form B, skill test [CTB].  
- Number One Less or More Numbers to 100, McGraw-Hill, Form A, skill test [CTB].  
  
    1.1.5
The learner will be able to compare whole numbers up to 10 and arrange them in numerical order.
Strand Source
Number Sense IDOE
Assessment Resources
- Order and Compare Numbers, McGraw-Hill, Form B, skill test [CTB].  
- Order and Compare Numbers up to 10, McGraw-Hill, Form A, skill test [CTB].  
  
    1.1.6
The learner will be able to match the number names first, second, third, etc. with an ordered set of up to 10 items.
Strand Source
Number Sense IDOE
Assessment Resources
- Ordered Sets to Ten, McGraw-Hill, Form B, skill test [CTB].  
- Ordered Set to 10, McGraw-Hill, Form A, skill test [CTB].  
  
    1.1.7
The learner will be able to recognize when a shape is divided into congruent (matching) parts.
Strand Source
Number Sense IDOE
Assessment Resources
- Congruent Shapes, McGraw-Hill, Form B, skill test [CTB].  
- Congruent Shapes, McGraw-Hill, Form A, skill test [CTB].  
  
    1.1.8
The learner will be able to for a shape divided into 8 or fewer congruent (matching) parts, describe a shaded portion as "__ out of __ parts" and write the fraction.
Strand Source
Number Sense IDOE
Assessment Resources
- Fractional Parts Shaded Portions, McGraw-Hill, Form B, skill test [CTB].  
- Fractional Parts Shaded Portions, McGraw-Hill, Form A, skill test [CTB].  
  
    1.1.9
The learner will be able to for a set of 8 or fewer objects, describe a subset as "__ out of __ parts" and write the fraction.
Strand Source
Number Sense IDOE
Assessment Resources
- Fractional Parts Objects, McGraw-Hill, Form B, skill test [CTB].  
- Fractional Parts Objects, McGraw-Hill, Form A, skill test [CTB].  
  
    1.1.10
The learner will be able to represent, compare, and interpret data using pictures and picture graphs.
Strand Source
Number Sense IDOE
Assessment Resources
- Data Interpretation, McGraw-Hill, Form B, skill test [CTB].  
- Data Interpretation, McGraw-Hill, Form A, skill test [CTB].  
  

Whole Numbers

    Computation
The learner will be able to demonstrate the meaning of addition and subtraction and use these operations to solve problems.
Strand Source
Add/Subtract Whole Numbers IDOE
  
    1.2.1
The learner will be able to show the meaning of addition (putting together, increasing) using objects.
Strand Source
Add Whole Numbers IDOE
Assessment Resources
- Addition, McGraw-Hill, Form B, skill test [CTB].  
- Subtraction, McGraw-Hill, Form A, skill test [CTB].  
- Addition, McGraw-Hill, Form A, skill test [CTB].  
  
    1.2.2
The learner will be able to show the meaning of subtraction (taking away, comparing, finding the difference) using objects.
Strand Source
Subtract Whole Numbers IDOE
Assessment Resources
- Subtraction, McGraw-Hill, Form B, skill test [CTB].  
  
    1.2.3
The learner will be able to show equivalent forms of the same number (up to 20) using objects, diagrams, and numbers.
Strand Source
Whole Numbers IDOE
Assessment Resources
- Equivalent Form of Same Numbers, McGraw-Hill, Form B, skill test [CTB].  
- Equivalent Forms of Same Numbers, McGraw-Hill, Form A, skill test [CTB].  
  
    1.2.4
The learner will be able to demonstrate mastery of the addition facts (for totals up to 20) and the corresponding subtraction facts.
Strand Source
Add/Subtract Whole Numbers IDOE
Assessment Resources
- Basic Facts Total to 20, McGraw-Hill, Form B, skill test [CTB].  
- Basic Facts Total to 20, McGraw-Hill, Form A, skill test [CTB].  
  
    1.2.5
The learner will be able to understand the meaning of the symbols +, -, and =.
Strand Source
Add/Subtract Whole Numbers IDOE
Assessment Resources
- Addition Subtraction and Equal Symbols, McGraw-Hill, Form B, skill test [CTB].  
- Addition Subtraction and Equal Symbols, McGraw-Hill, Form A, skill test [CTB].  
  
    1.2.6
The learner will be able to understand the role of zero in addition and subtraction.
Strand Source
Add/Subtract Whole Numbers IDOE
Assessment Resources
- Role of Zero in Addition and Subtraction, McGraw-Hill, Form B, skill test [CTB].  
- Role of Zero in Addition, McGraw-Hill, Form A, skill test [CTB].  
  
    1.2.7
The learner will be able to understand and use the inverse relationship between addition and subtraction facts (such as 4 + 2 = 6, 6 - 2 = 4, etc.) to solve simple problems.
Strand Source
Add/Subtract Whole Numbers IDOE
Assessment Resources
- Inverse Relationship in Addition and Subtraction, McGraw-Hill, Form B, skill test [CTB].  
- Inverse Relationship Addition and Subtraction, McGraw-Hill, Form A, skill test [CTB].  
  

Functions

    Algebra and Functions
The learner will be able to use number sentences with the symbols +, - , and = to solve problems.
Strand Source
Problem Solving IDOE
  
    1.3.1
The learner will be able to write and solve number sentences from problem situations involving addition and subtraction.
Strand Source
Problem Solving IDOE
Assessment Resources
- Number Sentences, McGraw-Hill, Form B, skill test [CTB].  
- Number Sentences, McGraw-Hill, Form A, skill test [CTB].  
  
    1.3.2
The learner will be able to create word problems that match given number sentences involving addition and subtraction.
Strand Source
Problem Solving IDOE
  
    1.3.3
The learner will be able to recognize and use the relationship between addition and subtraction.
Strand Source
Problem Solving IDOE
  
    1.3.4
The learner will be able to create and extend number patterns using addition.
Strand Source
Functional Relationships IDOE
Assessment Resources
- Number Patterns Using Addition, McGraw-Hill, Form B, skill test [CTB].  
- Number Patterns Using Addition, McGraw-Hill, Form A, skill test [CTB].  
  

Geometry

    Geometry
The learner will be able to identify common geometric shapes, classify them by common attributes, and describe their relative position or their location in space.
Strand Source
Figures: Attributes IDOE
  
    1.4.1
The learner will be able to identify, describe, compare, sort, and draw triangles, rectangles, squares, and circles.
Strand Source
Triangles IDOE
Assessment Resources
- Geometric Shapes, McGraw-Hill, Form B, skill test [CTB].  
- Geometric Shapes, McGraw-Hill, Form A, skill test [CTB].  
  
    1.4.2
The learner will be able to identify triangles, rectangles, squares, and circles as the faces of three-dimensional objects.
Strand Source
Three-Dimensional Solids IDOE
  
    1.4.3
The learner will be able to classify and sort familiar plane and solid objects by position, shape, size, roundness, and other attributes. Explain the rule you used.
Strand Source
Planes/Points/Lines IDOE
  
    1.4.4
The learner will be able to identify objects as two- or three-dimensional.
Strand Source
Three-Dimensional Solids IDOE
  
    1.4.5
The learner will be able to give and follow directions for finding a place or object.
Strand Source
Communicating Spatial Sense IDOE
  
    1.4.6
The learner will be able to arrange and describe objects in space by position and direction: near, far, under, over, up, down, behind, in front of, next to, to the left or right of.
Strand Source
Communicating Spatial Sense IDOE
Assessment Resources
- Arrange Describe Objects, McGraw-Hill, Form B, skill test [CTB].  
- Arrange Describe Objects in Space, McGraw-Hill, Form A, skill test [CTB].  
  
    1.4.7
The learner will be able to identify geometric shapes and structures in the environment and specify their location.
Strand Source
Communicating Spatial Sense IDOE
Assessment Resources
- Geometric Shapes in Environment, McGraw-Hill, Form B, skill test [CTB].  
- Geometric Shapes in Environment, McGraw-Hill, Form A, skill test [CTB].  
  

Measurement

    Measurement
The learner will be able to learn how to measure length, as well as how to compare, order, and describe other kinds of measurement.
Strand Source
Measurement Concepts IDOE
  
    1.5.1
The learner will be able to measure the length of objects by repeating a non-standard unit or a standard unit.
Strand Source
Length IDOE
Assessment Resources
- Length of Objects, McGraw-Hill, Form A, skill test [CTB].  
- Length of Objects, McGraw-Hill, Form B, skill test [CTB].  
  
    1.5.2
The learner will be able to use different units to measure the length of the same object and predict whether the measure will be greater or smaller when a different unit is used.
Strand Source
Length IDOE
  
    1.5.3
The learner will be able to recognize the need for a fixed unit of length.
Strand Source
Length IDOE
  
    1.5.4
The learner will be able to measure and estimate the length of an object to the nearest inch and centimeter.
Strand Source
Length IDOE
  
    1.5.5
The learner will be able to compare and order objects according to area, capacity, weight, and temperature, using direct comparison or a non-standard unit.
Strand Source
Measurement: Analysis IDOE
Assessment Resources
- Order Compare by Capacity, McGraw-Hill, Form B, skill test [CTB].  
- Order Compare by Capacity, McGraw-Hill, Form A, skill test [CTB].  
  
    1.5.6
The learner will be able to tell time to the nearest half-hour and relate time to events (before/after, shorter/longer).
Strand Source
Time IDOE
Assessment Resources
- Time to Half Hour and Relationship, McGraw-Hill, Form B, skill test [CTB].  
- Time to the Half Hour, McGraw-Hill, Form A, skill test [CTB].  
  
    1.5.7
The learner will be able to identify and give the values of pennies, nickels, and dimes.
Strand Source
Money IDOE
Assessment Resources
- Value of Money, McGraw-Hill, Form B, skill test [CTB].  
- Value of Money, McGraw-Hill, Form A, skill test [CTB].  
  

Problem Solving

    Problem Solving
The learner will be able to make decisions about how to set up a problem.
Strand Source
Analyzing Problems IDOE
  
    1.6.1
The learner will be able to choose the approach, materials, and strategies to use in solving problems.
Strand Source
Strategies IDOE
Assessment Resources
- Approach Strategies for Problem Solving, McGraw-Hill, Form B, skill test [CTB].  
- Approach Strategies for Problem Solving, McGraw-Hill, Form A, skill test [CTB].  
  
    1.6.2
The learner will be able to use tools such as objects or drawings to model problems.
Strand Source
Strategies IDOE
  
    1.6.3
The learner will be able to explain the reasoning used and justify the procedures selected in solving a problem.
Strand Source
Analyzing Problems IDOE
  
    1.6.4
The learner will be able to make precise calculations and check the validity of the results in the context of the problem.
Strand Source
Analyzing Problems IDOE
Assessment Resources
- Precise Calculation, McGraw-Hill, Form A, skill test [CTB].  
- Precise Calculations Validity, McGraw-Hill, Form B, skill test [CTB].  
  
    1.6.5
The learner will be able to understand and use connections between two problems.
Strand Source
Analyzing Problems IDOE
  

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