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School City of Hobart
School City of Hobart Mathematics
Mathematics - Mathematics - Grade 3

Number Theory
Number Sense
The learner will be able to understand the relationships among numbers, quantities, and place value in whole numbers* up to 1,000. They understand the relationship among whole numbers, simple fractions, and decimals. *whole numbers: 0, 1, 2, 3, etc.
Strand Source
Number Sense IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.1
The learner will be able to count, read, and write whole numbers up to 1,000. Example: Write 349 for the number "three hundred forty-nine". .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Whole Number Recognition to 1000, McGraw-Hill, Form A, skill test [CTB].  
· Whole Number Recognition to 1000, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.2
The learner will be able to identify and interpret place value in whole numbers up to 1,000. Example: Understand that the 7 in 479 represents 7 tens or 70. .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Place Value in Numbers to 1000, McGraw-Hill, Form A, skill test [CTB].  
· Place Value in Mumbers to 1000, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.3
The learner will be able to use words, models, and expanded form to represent numbers up to 1,000. Example: Recognize that 492 + 400 + 90 + 2. .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Expanded Form Numbers to 1000, McGraw-Hill, Form A, skill test [CTB].  
· Expanded Form Numbers to 1000, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.4
The learner will be able to identify any number up to 1,000 in various combinations of hundreds, tens, and ones. Example: 325 can be written as 3 hundreds, 2 tens, and 5 ones, or as 2 hundreds, 12 tens, and 5 ones, etc. .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Numbers to 1000 as 100, 10 and 1, McGraw-Hill, Form A, skill test [CTB].  
· Numbers to 1000 as 100, 10 and 1, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.5
The learner will be able to compare whole numbers up to 1,000 and arrange them in numerical order. Example: What is the smallest whole number you can make using the digits 4, 9, and 1? Use each digit exactly once. .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Compare and Order Numbers to 1000, McGraw-Hill, Form A, skill test [CTB].  
· Compare and Order Numers to 1000, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.6
The learner will be able to round numbers less than 1,000 to the nearest ten and the nearest hundred. Example: Round 548 to the nearest ten. .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Round Numbers to 1000 Nearest 100 and 10, McGraw-Hill, Form A, skill test [CTB].  
· Round Numbers to 1000 Nearest 100 and 10, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.7
The learner will be able to identify odd and even numbers up to 1,000 and describe their characteristics. Example: Find the even number: 47, 106, 357, 629. .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Odd and Even Numbers to 1000, McGraw-Hill, Form A, skill test [CTB].  
· Odd and Even Numbers to 1000, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.8
The learner will be able to show equivalent fractions* using equal parts. Example: Draw pictures to show that 3/5, 6/10, and 9/15 are equivalent fractions. *equivalent fractions: fractions with the same value (e.g. 1/2, 2/4, 3/6, etc.).
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Fractional Parts Equivalent Fractions, McGraw-Hill, Form A, skill test [CTB].  
· Fractional Parts Equivalent Fractions, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.9
The learner will be able to identify and use correct names for numerators and denominators. Example: In the fraction 3/5, name the numerator and denominator. .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Names for Numerators and Denominators, McGraw-Hill, Form A, skill test [CTB].  
· Names for Numerators and Denominator, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.10
The learner will be able to given a pair of fractions, decide which is larger or smaller by using objects or pictures. Example: Is 3/4 of a medium pizza larger or smaller than 1/2 of a medium pizza? Explain your answer. .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Compare and Order Fractions, McGraw-Hill, Form A, skill test [CTB].  
· Compare and Order Fractions, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.11
The learner will be able to given a set* of objects or a picture, name and write a decimal to represent tenths and hundredths. Example: You have a pile of 100 beans and 72 of them are lima beans. Write the decimal that represents lima beans as a part of the whole pile of beans. *set: collection of objects, numbers, etc. .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Decimals to Tenths and Hundredths, McGraw-Hill, Form A, skill test [CTB].  
· Decimals to Tenths and Hundredths, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.12
The learner will be able to given a decimal for tenths, show it as a fraction using a place-value model. Example: Show the decimal 0.7 as a fraction using pennies. .
Strand Source
Number Sense IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.13
The learner will be able to interpret data displayed in a circle graph and answer questions about the situation. Example: Have the students in your class choose the pizza they like best from these choices: cheese, sausage, pepperoni. Use a spreadsheet to enter the number of students who chose each kind and make a circle graph of the data. Determine the most popular and the least popular kind of pizza, and explain what the circle and each pie slice represent. .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Data Interpretation, McGraw-Hill, Form A, skill test [CTB].  
· Data Interpretation, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.14
The learner will be able to identify whether everyday events are certain, likely, unlikely, or impossible. Example: It is raining in your neighborhood. Is it certain, likely, unlikely, or impossible that the tree in your front yard will get wet? .
Strand Source
Number Sense IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.1.15
The learner will be able to record the possible outcomes for a simple probability experiment. Example: Predict how many heads and tails will occur if a coin is tossed 10 times. Have a partner toss a coin while you keep a tally of the outcomes. Exchange places with your partner and repeat the experiment. Explain your results to the class. .
Strand Source
Number Sense IDOE
  Assessment Resources
 
· Simple Probability Experiment, McGraw-Hill, Form A, skill test [CTB].  
· Simple Probability Experiment, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
top  

Whole Numbers
Computation
The learner will be able to solve problems involving addition and subtraction of whole numbers. They model and solve simple problems involving multiplication and division.
Strand Source
Problem Solving IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.2.1
The learner will be able to add and subtract whole numbers up to 1,000 with or without regrouping, using relevant properties of the number system. Example: 854 - 427 = ? Explain your method. .
Strand Source
Add/Subtract Whole Numbers IDOE
  Assessment Resources
 
· Computation Add Subtract Whole Numbers, McGraw-Hill, Form A, skill test [CTB].  
· Computation Add Subtract Whole Numbers, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.2.2
The learner will be able to represent the concept of multiplication as repeated addition. Example: Lynn made 3 baskets each week for 4 weeks. Draw a picture to show how many baskets she made. .
Strand Source
Multiplication Story Problems IDOE
  Assessment Resources
 
· Multiplication as Repeated Addition, McGraw-Hill, Form A, skill test [CTB].  
· Multiplication as Repeated Addition, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.2.3
The learner will be able to represent the concept of division as repeated subtraction, equal sharing, and forming equal groups. Example: Bob shared 10 cookies among 5 friends. Draw a picture to show how many cookies each friend got. .
Strand Source
Division Story Problems IDOE
  Assessment Resources
 
· Division as Repeated Subtraction, McGraw-Hill, Form A, skill test [CTB].  
· Division as Repeated Subtraction, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.2.4
The learner will be able to know and use the inverse relationship between multiplication and division facts, such as 6 x 7 = 42, 42 / 7 = 6, 7 x 6 = 42, 42 / 6 = 7. Example: Find other facts related to 8 x 3 = 24. .
Strand Source
Multiply/Divide Whole Numbers IDOE
  Assessment Resources
 
· Inverse Relationship Multiply Divide, McGraw-Hill, Form A, skill test [CTB].  
· Inverse Relationship Multiply Divide, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.2.5
The learner will be able to show mastery of multiplication facts for 2, 5, and 10. Example: Know the answer to 6 x 5. .
Strand Source
Multiply Whole Numbers IDOE
  Assessment Resources
 
· Multiplication Facts for 2, 5 and 10, McGraw-Hill, Form A, skill test [CTB].  
· Multiplicaton Facts for 2, 5 and 10, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
top  

Fractions
3.2.6
The learner will be able to add and subtract simple fractions with the same denominator. Example: Add 3/8 and 1/8 . Explain your answer. .
Strand Source
Add Fractions IDOE
  Assessment Resources
 
· Add and Subtract Fractions, McGraw-Hill, Form A, skill test [CTB].  
· Add and Subtract Fractions, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
top  

Whole Numbers
3.2.7
The learner will be able to use estimation to decide whether answers are reasonable in addition and subtraction problems. Example: Your friend says that 79 - 22 = 27. Without solving, explain why you think the answer is wrong. .
Strand Source
Reasoning/Estimation IDOE
  Assessment Resources
 
· Estimation, McGraw-Hill, Form A, skill test [CTB].  
· Estimation, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.2.8
The learner will be able to use mental arithmetic to add or subtract with numbers less than 100. Example: Subtract 35 from 86 without using pencil and paper. .
Strand Source
Add/Subtract Whole Numbers IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
top  

Algebraic Concepts
Algebra and Functions
The learner will be able to select appropriate symbols, operations, and properties to represent, describe, simplify, and solve simple number and functional relationships.
Strand Source
Problem Solving IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.3.1
The learner will be able to represent relationships of quantities in the form of a numeric expression or equation. Example: Bill's mother gave him money to buy three drinks that cost 45 cents each at the concession stand. When he returned to the bleachers, he gave 25 cents change to his mother. Write an equation to find the amount of money Bill's mother originally gave him. .
Strand Source
Equations IDOE
  Assessment Resources
 
· Relationship as a Numeric Equation, McGraw-Hill, Form A, skill test [CTB].  
· Relationship as a Numeric Equation, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.3.2
The learner will be able to solve problems involving numeric equations. Example: Use your equation from the last example to find the amount of money that Bill's mother gave him, and justify your answer. .
Strand Source
Equations IDOE
  Assessment Resources
 
· Solve Problems with Numeric Equations, McGraw-Hill, Form A, skill test [CTB].  
· Solve Problems with Numeric Equations, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.3.3
The learner will be able to choose appropriate symbols for operations and relations to make a number sentence true. Example: What symbol is needed to make the number sentence 4 _ 3 = 12 true? .
Strand Source
Symbols IDOE
  Assessment Resources
 
· Symbols for Numeric Equations, McGraw-Hill, Form A, skill test [CTB].  
· Symbols for Numeric Equations, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.3.4
The learner will be able to understand and use the commutative* and associative* rules of multiplication. Example: Multiply the numbers 7, 2, and 5 in this order. Now multiply them in the order 2, 5, and 7. Which was easier? Why? *commutative rule: the order when multiplying numbers makes no difference (e.g., 5 x 3 = 3 x 5), but note that this rule is not true for division *associative rule: the grouping when multiplying numbers makes no difference (e.g., in 5 x 3 x 2, multiplying 5 and 3 and then multiplying by 2 is the same as 5 multiplied by 3 x 2), but note that this rule is not true for division .
Strand Source
Operations: Multiplication IDOE
  Assessment Resources
 
· Number Properties, McGraw-Hill, Form A, skill test [CTB].  
· Number Properties, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
top  

Numeration
3.3.5
The learner will be able to create, describe, and extend number patterns using multiplication. Example: What is the next number: 3, 6, 12, 24, ...? How did you find your answer? .
Strand Source
Patterns: Create IDOE
  Assessment Resources
 
· Number Patterns, McGraw-Hill, Form A, skill test [CTB].  
· Number Patterns, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
top  

Functions
3.3.6
The learner will be able to solve simple problems involving a functional relationship between two quantities. Example: Ice cream sandwiches cost 20 cents each. Find the costs of 1, 2, 3, 4, ... ice cream sandwiches. What pattern do you notice? Continue the pattern to find the cost of enough ice cream sandwiches for the class. .
Strand Source
Functional Relationships IDOE
  Assessment Resources
 
· Whole Numbers to Ten on Number Line, McGraw-Hill, Form A, skill test [Textbook].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.3.7
The learner will be able to plot and label whole numbers on a number line up to 10. Example: Mark the position of 7 on a number line up to 10. .
Strand Source
Functional Relationships IDOE
  Assessment Resources
 
· Whole Numbers to 10 on Number Line, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
top  

Geometry
Geometry
The learner will be able to describe and compare the attributes of plane and solid geometric shapes and use their understanding to show relationships and solve problems.
Strand Source
Figures: Attributes IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.4.1
The learner will be able to identify quadrilaterals* as four-sided shapes. Example: Which of these are quadrilaterals: square, triangle, rectangle? *quadrilateral: a two-dimensional figure with four sides .
Strand Source
Quadrilaterals IDOE
  Assessment Resources
 
· Quadrilaterals, McGraw-Hill, Form A, skill test [CTB].  
· Quadrilaterals, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.4.2
The learner will be able to identify right angles in shapes and objects and decide whether other angles are greater or less than a right angle. Example: Identify right angles in your classroom. Open the classroom door until it makes a right angle with one wall and explain what you are doing. .
Strand Source
Angles IDOE
  Assessment Resources
 
· Angles in Shapes and Objects, McGraw-Hill, Form A, skill test [CTB].  
· Angles in Shapes and Objects, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.4.3
The learner will be able to identify, describe, and classify: cube, sphere*, prism*, pyramid, cone, cylinder. Example: Describe the faces of a pyramid and identify its characteristics. *sphere: round ball like a baseball *prism: solid shape with fixed cross-section (a right prism is a solid shape with two parallel faces that are congruent polygons and other faces that are rectangles) .
Strand Source
Figures: Identify IDOE
  Assessment Resources
 
· Solid Objects, McGraw-Hill, Form A, skill test [CTB].  
· Solid Objects, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.4.4
The learner will be able to identify common solid objects that are the parts needed to make a more complex solid object. Example: Describe and draw a house made from a prism and a pyramid. .
Strand Source
Figures: Two-/Three-Dimensional IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.4.5
The learner will be able to draw a shape that is congruent* to another shape. Example: Draw a triangle that is congruent to a given triangle. You may use a ruler and pencil or the drawing program on a computer. *congruent: two figures that are the same shape and size .
Strand Source
Congruence IDOE
  Assessment Resources
 
· Congruent Shapes, McGraw-Hill, Form A, skill test [CTB].  
· Congruent Shapes, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.4.6
The learner will be able to use the terms point, line, and line segment in describing two-dimensional shapes. Example: Describe the way a triangle is made of points and line segments and how you know it is a triangle. .
Strand Source
Two-Dimensional Shapes IDOE
  Assessment Resources
 
· Points Lines and Line Segment, McGraw-Hill, Form A, skill test [CTB].  
· Points Lines and Line Segment, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.4.7
The learner will be able to draw line segments and lines. Example: Draw a line segment three inches long. .
Strand Source
Lines IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.4.8
The learner will be able to identify and draw lines of symmetry in geometric shapes (by hand or using technology). Example: Use pencil and paper or a drawing program to draw lines of symmetry in a square. Discuss your findings. .
Strand Source
Symmetry IDOE
  Assessment Resources
 
· Lines of Symmetry, McGraw-Hill, Form A, skill test [CTB].  
· Lines of Symmetry, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.4.9
The learner will be able to sketch the mirror image reflections of shapes. Example: Hold up a cardboard letter F to a mirror. Draw the letter and the shape you see in the mirror. .
Strand Source
Reflections IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.4.10
The learner will be able to recognize geometric shapes and their properties in the environment and specify their locations. Example: Write the letters of the alphabet and draw all the lines of symmetry that you see. .
Strand Source
Figures: Real World IDOE
  Assessment Resources
 
· Geometric Shapes in Environment, McGraw-Hill, Form A, skill test [CTB].  
· Geometric Shapes in Environment, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
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Measurement
Measurement
The learner will be able to choose and use appropriate units and measurement tools for length, capacity, weight, temperature, time, and money.
Strand Source
Measurement Concepts IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.1
The learner will be able to measure line segments to the nearest half-inch. Example: Measure the length of a side of a triangle. .
Strand Source
Length IDOE
  Assessment Resources
 
· Line Segments to Nearest Half Inch, McGraw-Hill, Form A, skill test [CTB].  
· Line Segments to Nearest Half Inch, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.2
The learner will be able to add units of length that may require regrouping of inches to feet or centimeters to meters. Example: Add the lengths of three sheets of paper. Give your answer in feet and inches. .
Strand Source
Length IDOE
  Assessment Resources
 
· Add Units of Length, McGraw-Hill, Form A, skill test [CTB].  
· Add Units of Length, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.3
The learner will be able to find the perimeter of a polygon*. Example: Find the perimeter of a table in centimeters. Explain your method. *polygon: two-dimensional shape with straight sides (e.g., triangle, rectangle, pentagon) .
Strand Source
Perimeter IDOE
  Assessment Resources
 
· Perimeter of a Polygon, McGraw-Hill, Form A, skill test [CTB].  
· Perimeter of a Polygon, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.4
The learner will be able to estimate or find the area of shapes by covering them with squares. Example: How many square tiles do we need to cover this desk? .
Strand Source
Area IDOE
  Assessment Resources
 
· Area Covering Shapes with Squares, McGraw-Hill, Form A, skill test [CTB].  
· Area Covering Shapes with Squares, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.5
The learner will be able to estimate or find the volume of objects by counting the number of cubes that would fill them. Example: How many of these cubes will fill the box? .
Strand Source
Volume IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.6
The learner will be able to estimate and measure capacity using quarts, gallons, and liters. Example: This bottle holds one liter. Estimate how many liters the sink holds. .
Strand Source
Capacity IDOE
  Assessment Resources
 
· Capacity Using Quarts Gallons and Liters, McGraw-Hill, Form A, skill test [CTB].  
· Capacity Using Quarts Gallons and Liters, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.7
The learner will be able to estimate and measure weight using pounds and kilograms. Example: Estimate the weight of your book bag in pounds. .
Strand Source
Weight IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.8
The learner will be able to compare temperatures in Celsius and Fahrenheit. Example: Measure the room temperature using a thermometer that has both Celsius and Fahrenheit units. If the temperature in the room measures 70ºF, will the Celsius measurement be higher or lower? .
Strand Source
Temperature IDOE
  Assessment Resources
 
· Temperature Celsius Fahrenheit, McGraw-Hill, Form A, skill test [CTB].  
· Temperature Celsius Fahrenheit, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.9
The learner will be able to tell time to the nearest minute and find how much time has elapsed. Example: You start a project at 9:10 a.m. and finish the project at 9:42 a.m. How much time has passed? .
Strand Source
Time IDOE
  Assessment Resources
 
· Time to Nearest Minute Elapsed Time, McGraw-Hill, Form A, skill test [CTB].  
· Time to Nearest Minute Elapsed Time, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.10
The learner will be able to find the value of any collection of coins and bills. Write amounts less than a dollar using the ¢ symbol and write larger amounts in decimal notation using the $ symbol. Example: You have 5 quarters and 2 dollar bills. How much money is that? Write the amount. .
Strand Source
Money IDOE
  Assessment Resources
 
· Value of Collection coins/bills, McGraw-Hill, Form A, skill test [CTB].  
· Value of Collection coins/bills, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.11
The learner will be able to use play or real money to decide whether there is enough money to make a purchase. Example: You have $5. Can you buy two books that cost $2.15 each? What about three books that cost $1.70 each? Explain how you know. .
Strand Source
Money IDOE
  Assessment Resources
 
· Money for Purchases, McGraw-Hill, Form A, skill test [CTB].  
· Money for Purchases, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.5.12
The learner will be able to carry out simple unit conversions within a measurement system (e.g., centimeters to meters, hours to minutes). Example: How many minutes are in 3 hours? .
Strand Source
Converting IDOE
  Assessment Resources
 
· Conversions Within Systems, McGraw-Hill, Form A, skill test [CTB].  
· Conversions Within Systems, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
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Problem Solving
Problem Solving
The learner will be able to make decisions about how to approach problems and communicate their ideas.
Strand Source
Analyzing Problems IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.6.1
The learner will be able to analyze problems by identifying relationships, telling relevant from irrelevant information, sequencing and prioritizing information, and observing patterns. Example: Solve the problem: "Start with any number. If it is even, halve it. If it is odd, add 1. Do the same with the result and keep doing that. Find what happens by trying different numbers." Try two or three numbers and look for patterns. .
Strand Source
Analyzing Problems IDOE
  Assessment Resources
 
· Approach to Problem Solving, McGraw-Hill, Form A, skill test [CTB].  
· Approach to Problem Solving, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.6.2
The learner will be able to decide when and how to break a problem into simpler parts. Example: In the first example, find what happens to all the numbers up to 10. .
Strand Source
Analyzing Problems IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.6.3
The learner will be able to apply strategies and results from simpler problems to solve more complex problems. Example: In the first example, use your results for the numbers up to 10 to find what happens to all the numbers up to 20. .
Strand Source
Strategies IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.6.4
The learner will be able to express solutions clearly and logically by using the appropriate mathematical terms and notation. Support solutions with evidence in both verbal and symbolic work. Example: In the first example, explain what happens to all the numbers that you tried. .
Strand Source
Solution IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.6.5
The learner will be able to recognize the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy. Example: Measure the length and width of a room to the nearest meter to find how many student desks will fit in it. Would this be an accurate enough method if you were carpeting the room? .
Strand Source
Solution IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.6.6
The learner will be able to know and use strategies for estimating results of whole-number addition and subtraction. Example: You buy 2 bags of candy for $1.05 each. The cashier tells you that will be $1.70. Does that surprise you? Why or why not? .
Strand Source
Strategies IDOE
  Assessment Resources
 
· Estimating Results, McGraw-Hill, Form A, skill test [CTB].  
· Estimating Results, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.6.7
The learner will be able to make precise calculations and check the validity of the results in the context of the problem. Example: In the first example, notice that the result of adding 1 to an odd number is always even. Use this to check your calculations. .
Strand Source
Evaluating Solutions IDOE
  Assessment Resources
 
· Precise Calculation, McGraw-Hill, Form A, skill test [CTB].  
· Precise Calculations, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.6.8
The learner will be able to decide whether a solution is reasonable in the context of the original situation. Example: In the example about fitting desks into a room, would an answer of 1,000 surprise you? .
Strand Source
Evaluating Solutions IDOE
  Assessment Resources
 
· Reasonableness of Solutions, McGraw-Hill, Form A, skill test [CTB].  
· Reasonableness of Solutions, McGraw-Hill, Form B, skill test [CTB].  
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
3.6.9
The learner will be able to note the method of finding the solution and show a conceptual understanding of the method by solving similar problems. Example: Change the first example so that you multiply odd numbers by 2 or 3 or 4 or 5, before adding 1. Describe the pattern you see. .
Strand Source
Evaluating Solutions IDOE
  Unit Instructional Resources
 
· Saxon Math, Saxon Publishing [Textbook].  
  Unit Assessment Resources
 
· NWEA, Northwest Evaluation Association, Fall and Spring [Standardized Test].  
· ISTEP+, McGraw Hill/IDOE, Fall [Standardized Test].  
· Saxon Math, Saxon Publishing [Textbook].  
  
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