SAU #35 Grade 3 Mathematics

Strand: Numbers, Numeration, Operations, and Number Theory
Broad Goals
Develop number sense, ways to represent numbers, and an understanding of the relationships among numbers and our numeration system. Students will understand the meanings of and relationships between number operations and their properties. Compute accurately and efficiently and make reasonable estimates.

 

Strand: Geometry and Measurement

Broad Goals

Explore and analyze the properties and relationships of two- and three-dimensional shapes and figures.

Develop spatial reasoning and visualization techniques and skills.

Students will use geometric transformations to analyze situations and solve problems.

Students will understand and apply the units, systems, and process of measurement: one-, two-, and three-dimensional measurement.

Students will understand and apply the units, systems, and processes of measurement: other types of measurement.

 

Strand: Data Analysis, Statistics, and Probability

Broad Goal

Students will use data analysis, statistics, and probability to analyze and model situations and the outcomes of experiments.

 

Strand: Functions, Relations, and Algebra
Broad Goals
Students will recognize and describe patterns. Students will represent, analyze, and model mathematical situations and structures. Students will analyze change in various contexts.

Numbers, Numeration, Operations, and Number Theory

Broad Goal #1: Develop number sense, ways to represent numbers, and an understanding of the relationships among numbers and our numeration system.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

1.1.1 Order numbers from a set of numbers 0-1000 from least to greatest and vice versa.

1.1.2 Identify numbers as a unit or in various representations including combinations of hundreds, tens, and ones.

1.1.3 Name the whole number that is 1 unit, 10 units, or 100 units greater or less than a given number.

1.1.4 Read and write whole numbers from 0-1000.

1.1.5 Use physical models to show understanding of place value.

 

 

1.1.6 Recognize and demonstrate the difference in magnitude (reasonableness of numbers, number sense.

 

1.1.7 Demonstrate the knowledge of differences in uses of ordinal (first, second, third…), cardinal (1, 2, 3…), and nominal (one, two, three…) numbers, and explain the uses of numbers in everyday context.

 

1.1.8 Using a model, identify common fractions as part of a whole or set.

1.1.9 Given a fractional model/drawing, identify the numerator and the denominator.

1.1.10 Represent a fraction or decimal no higher than the tenths place, using a physical model.

 

1.1.11 Skip count by twos, threes, fives, and tens, not always starting at a multiple of the number.

1.1.12 Identify even/odd and explain the difference.

EDM 5.2

 

 

 

 


EDM 5.1 - 5.4

 

 

 

 

 

 

 

 

 

 

 

EDM 8.1 - 8.3

 


384 equals 3 hundreds, 8 tens, and 4 ones; 384 equals 350 plus 34

 



 


Identify and write a 3-digit number given a model or when given a number, make the model of that number.

Hint: Given a set of options, they are able to eliminate unreasonable answers.


Calendars, clocks, signs, and literature.

 

 

 

1/2, 1/4, 3/4, 4/5, 1/10, 2/3

Mental Math and Reflexes
7.1, 8.3, 6.2, and 6.10

Use money as alternative to base 10 (dollar, dime, penny)


Box It and Bag It math boxes

 

Numbers, Numeration, Operations, and Number Theory

Broad Goal #2: Students will understand the meanings of and relationships between number operations and their properties.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

1.2.1 Demonstrate meaning for the operations of addition, subtraction, and multiplication using pictures, models, manipulatives, etc.

1.2.2 Develop meaning for the operation of division using pictures, models, manipulatives, etc.

1.2.3 Using whole numbers, demonstrate and explain the relationship between addition and multiplication, and explore the relationship between subtraction and division.

1.2.4 Demonstrate and explain the inverse relationship between addition and subtraction, and explore the inverse relationship between multiplication and division.

1.2.5 Use manipulatives/diagrams to represent multiplication as repeated addition or arrays.

1.2.6 Use manipulatives/diagrams to represent division as the sharing of objects (i.e. partitive division) and as the number of groups in a set (i.e. measurement division).

1.2.7 Given a word problem, select and apply the operation(s) to solve it.

1.2.8 Given an addition, subtraction, multiplication, or division equation, write a story problem that could be solved using this equation, or given the story problem, write an appropriate equation.

1.2.9 Recognize the effects of performing the operations of addition, subtraction, multiplication, and division with whole numbers.

EDM 3.7, 4.1 - 4.6


EDM 3.7, 4.4, 4.6

 

 

 

 

 

 

EDM 3.7


EDM 4.4, 4.6

   

Numbers, Numeration, Operations, and Number Theory

Broad Goal #3: Compute accurately and efficiently and make reasonable estimates.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

1.3.1 Develop proficiency with addition facts for sums up to 18 and subtraction facts with minuends no greater than 18.

 

1.3.2 Develop proficiency with multiplication facts up to six.

1.3.3 Use a variety of mental computation and estimation techniques to solve problems.

1.3.4 Decide when it is appropriate to use estimation, mental calculation, paper and pencil techniques, or technology to solve problems.

1.3.5 Select appropriate computational techniques using whole numbers to solve problems and determine reasonableness.

1.3.6 Add two or more whole numbers whose sum is less than 1000 with or without regrouping.

1.3.7 Subtract any two two-digit numbers with or without regrouping.

1.3.8 Use a calculator to explore or to extend addition to 4-digit numbers and subtraction to include 3- and 4-digit numbers.

1.3.9 Use manipulatives to illustrate subtraction algorithms with regrouping.

1.3.10 Use a variety of invented algorithms to solve addition, subtraction, and multiplication problems.

1.3.11 Use estimation to determine the reasonableness of a calculation done by calculator/computer.

 

 

 

EDM Unit 4

 

 

 

 

 

 


EDM 3.8

 

 

 

Up to 6 x 6

Games:
Name that Number
Addition Top-It
Beat the Calculator

 

 

 

 

 

 

 

 

 

 


Practice regrouping with base ten models

Geometry and Measurement

Broad Goal #1: Explore and analyze the properties and relationships of two- and three-dimensional shapes and figures.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

2.1.1 Name, model, describe, and classify common two- and three-dimensional objects (to include rectangle prisms).

2.1.2 Name, model, describe, and classify angles.

 

2.1.3 Determine when pairs of figures are congruent or similar

 

 

2.1.4 Recognize and create shapes that have line symmetry.

2.1.5 Name and model lines, line segments, and parallel lines.

   

 

Right angles, angles that are less than 90 degrees, angles that are greater than 90 degrees.

 

 

 

 


Symmetry Lessons for Investigations in Number, Data, and Space: Mathematical Thinking at Grade 4, Scott-Foresman

Geometry and Measurement

Broad Goal #2: Develop spatial reasoning and visualization techniques and skills.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

2.2.1 Copy, compare, and visualize shapes by drawing and using manipulatives (to include rectangular prisms).

2.2.2 Predict and demonstrate the results of combining, subdividing, and changing shapes.

2.2.3 Build three-dimensional objects.

   

 

Tangram pieces or pattern blocks

Build a specific object such as a rectangular prism; build a container that would hold a specific amount of a given quantity.

 

Geometry and Measurement

Broad Goal #3: Students will use geometric transformations to analyze situations and solve problems.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

2.3.1 Recognize and apply combinations of flips, turns, and slides to analyze mathematical situations.

    Great Source: Daily Analogies

Geometry and Measurement

Broad Goal #4: Students will understand and apply the units, systems, and process of measurement: one-, two-, and three-dimensional measurement.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

2.4.1 Explain the need for a uniform unit of measure.

2.4.2 Apply basic measuring skills to measure lengths of objects using standard and non-standard units of measure.

 

 

2.4.3 Recognize the attributes of length, area, and volume, using standard (metric and English) and non-standard units of measure.

2.4.4 When appropriate, find and/or estimate the perimeter of polygons and irregular shapes using standard and non-standard units.

   


Use a ruler to measure the length of any object to the nearest 1/2 inch; determine how many paper clips it takes to measure the length of the desk.

 

 

Geometry and Measurement

Broad Goal #5: Students will understand and apply the units, systems, and processes of measurement: other types of measurement.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

2.5.1 Tell time to the nearest minute.

2.5.2 Identify the time indicated by passage of hour and/or half-hour intervals.

2.5.3 Read a thermometer to the nearest degree.

2.5.4 Apply an understanding of money to problem-solving situations.

2.5.5 Estimate the attributes of capacity and weight using standard (metric and English) and non-standard units of measure.

   

It is now 11:00, what time will it be in 2 1/2 hours?

 

Data Analysis, Statistics, and Probability

Broad Goal #1: Students will use data analysis, statistics, and probability to analyze and model situations and the outcomes of experiments.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

3.1.1 Collect, organize, and interpret data using observations, surveys, and experiments.

3.1.2 Formulate questions that can be addressed using data.

3.1.3 Make and evaluate inferences that are based on data.

3.1.4 Construct and interpret tables and graphs.

3.1.5 Predict the likelihood of an event and carry out simple activities to test the predictions.

   

 

 

 


bar, picture, and circle graphs.

If you roll two die, is a sum of 5 or a sum of twelve more likely?

 

Functions, Relations, and Algebra

Broad Goal #1: Students will recognize and describe patterns.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

4.1.1 Sort, classify and order objects by their properties.

4.1.2 Recognize, describe, analyze, extend, and create a wide variety of patterns using concrete models, numbers, graphs, and shapes.

4.1.3 Write the number pattern indicated by a written or oral rule.

  Size, number, shape

 

 


Double {2,4,8,16}

 

Functions, Relations, and Algebra

Broad Goal #2: Students will represent, analyze, and model mathematical situations and structures.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

4.2.1 Interpret the equal symbol as demonstrating equivalence between quantities.

4.2.2 Write and solve open sentences (equations) that express relationships.

4.2.3 Plot points on a number line.

     

Functions, Relations, and Algebra

Broad Goal #3: Students will analyze change in various contexts.

3rd Grade

Student Outcomes Alignment Examples Resources/Activities

4.3.1 Describe quantitative change.

 

4.3.2 Record data in situations where change is occurring.

4.3.3 Explore that a change in the length of a side will affect the perimeter of a polygon.

  Increase in student’s height per year.