SAU #35 Grade 4 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: Develop number sense, ways to represent numbers, and an understanding of the relationships among numbers and our numeration system.

4th Grade
Student Outcomes Alignment Examples Resources/Activities
1.1.1 Represent a fraction or decimal, no higher than the hundredths place, using a physical model.

1.1.2 Given a positive rational number, represent the number with the use of physical models or diagrams.

1.1.3 Explain the use of numbers in various everyday contexts.

1.1.4 Given a set of fractional models, name and write those that represent equivalent fractions with an emphasis on denominators of 2, 3, 4, 5, 6, 8, 10, and 12.

1.1.5 Given a pair of fractions, determine which is larger by using physical models or illustrations, using the same denominators as above.

1.1.6 Develop and use order relations for whole numbers through 9,999.

1.1.7 Using physical models and/or illustrations, explore order relations for fractions.

1.1.8 Apply number theory to explore finding factors of whole numbers.

1.1.9 Identify multiples of numbers 1-10.


1.1.10 Using a graphic representation, identify numbers that are divisible by 2, 5, and 10.

1.1.11 Read and write whole numbers 9,999.

1.1.12 Given a model or graphic representation, identify 10%, 25%, 50%, 75%, and 100%.

1.1.13 Explore the relationship of decimals in tenths and hundredths to fractions and vice versa.

1.1.14 Understand the place value structure of the base 10 number system.

    

 

 

 

Calendars, clocks, signs, or literature.

  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Arrays and Shares - TERC (Scott-Foresman)

Numbers, Numeration, Operations, and Number Theory

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

4th Grade
Student Outcomes Alignment Examples Resources/Activities
1.2.1 Explore the four basic operations and the relationships among them.

 

1.2.2 Develop the concept of addition and subtraction of fractions with like denominators and decimals to the hundredths, using manipulatives.

1.2.3 Explore the associative and commutative properties for addition and multiplication.

1.2.4 Explore the distributive property.

1.2.5 Apply the multiplicative and additive properties of zero and the multiplicative property of one in simple equations.

1.2.6 Apply the property of zero in subtraction.

   One model of multiplication is repeated addition, subtraction is the inverse of addition.

 

 


(6+3)+2 = 6 +(3+2)
3x4 = 4x3

6(3+2) = 6 x 3 + 6 x 2

4+0 = 4, 6 * 0 = 0 and 1 * 0 = 10.


10 – 0 = 10

  

 

 

 

 

Arrays and Shares - TERC (Scott Foresman)

Number tiles

Numbers, Numeration, Operations, and Number Theory

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

4th Grade
Student Outcomes Alignment Examples Resources/Activities
1.3.1 Demonstrate mastery of addition and subtraction facts up to 18 (up to 9 + 9).

1.3.2 Demonstrate mastery of multiplication factors up to six (up to 6 x 6).

1.3.3 Multiply two-digit whole numbers by one-digit whole numbers.

1.3.4 Explore the process of division of whole numbers.

1.3.5 Explore adding and subtracting decimals, using illustrations and/or manipulatives.

1.3.6 Using physical models and illustrations, determine the sum or difference of fractions with like denominators.

1.3.7 Make appropriate estimations relating to quantity.


1.3.8 Use a variety of invented algorithms to solve multiplication problems.


1.3.9 Know about and be able to use a variety of mental computation techniques.


1.3.10 Add two whole numbers whose sum is less than 10,000 with or without regrouping.

1.3.11 Subtract any three-digit numbers, with or without regrouping.

1.3.12 Select and use appropriate mental computation and estimation strategies in problem situations and to determine the reasonableness of answers.

    

 

 

 

 

 

 

 

Halves, fourths, eighths

 

Give an estimate of distance using a specific unit.

 


Using compatible numbers and applying properties of operations.

 Math Blaster 2 - computer program

Opening Eyes - array cards for multiplication and division

 

Arrays and Shares - TERC (Scott Foresman)

 

 

 

 

 

 

Arrays and Shares - TERC (Scott Foresman)

Geometry and Measurement

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

4th Grade
Student Outcomes Alignment Examples Resources/Activities
2.1.1 Identify and describe common two- and three-dimensional objects.

2.1.2 Identify congruent and similar figures, such as quadrilaterals and triangles.

2.1.3 Recognize rotation and reflection symmetry of given shapes.

2.1.4 Describe the relationship of the side lengths in congruent figures.

2.1.5 Define and classify angles as right, acute, and obtuse.

2.1.6 Name and model lines, line segments, rays, and parallel lines.

     Factory Deluxe - computer program

Geometry and Measurement

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

4th Grade
Student Outcomes Alignment Examples Resources/Activities
2.2.1 Build and draw common two-dimensional objects using manipulatives.

2.2.2 Build common three-dimensional objects using manipulatives.

2.2.3 Make and describe shapes that can be created from a set of three or more simple shapes.

2.2.4 Predict the results of subdividing shapes.

 

2.2.5 Given a three-dimensional object, describe it.

    


Cubes

 

 


Dividing a hexagon can create 2 trapezoids or 6 equilateral triangles

  

 

 

 

 


Pattern blocks

Geometry and Measurement

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

4th Grade
Student Outcomes Alignment Examples Resources/Activities
2.3.1 Introduce the terms: flips, slides, and turns using two-dimensional shapes.

2.3.2 Introduce the term tessellation.

      

Geometry and Measurement

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

4th Grade
Student Outcomes Alignment Examples Resources/Activities
2.4.1 Recognize, compare and apply standard and non-standard units of measurement for length.

2.4.2 Recognize that a right angle is 90 degrees, and acute angle is less than 90 degrees, and an obtuse angle is greater than 90 degrees, but is less than 180 degrees.

2.4.3 Find and/or estimate, when appropriate, the perimeter of polygons and irregular shapes using standard and non-standard units of measurement.

2.4.4 Investigate finding areas and volumes.

2.4.5 Introduce appropriate units of linear measure and convert between like units.

 

2.4.6 Explore the concept of scale.

   Nearest half and quarter inch.

 

 

 

 

 

 

 

Inches and feet, within English and metric systems.


Using Maps

  

 

 

 

 

 

 

 

 

 

 

Mighty Maps, Teaching & Learning Co.
Exploring Our World with Maps, Fearon Teacher Aids
Great Map Mysteries, Scholastic

Geometry and Measurement

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

4th Grade
Student Outcomes Alignment Examples Resources/Activities
2.5.1 Tell time to the nearest minute.

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

2.5.3 Measure temperature to the nearest given interval.

2.5.4 Investigate maps and timelines.

2.5.5 Identify hour intervals including identifying movement from A.M. to P.M.

2.5.6 Determine how much time has passed in a given hour interval including both A.M and P.M.

2.5.7 Identify time zones on maps.

    

 

 

 

 

 

 

How much time has passed from 9:00 A.M. to 2:00 P.M.?

  

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.

4th Grade
Student Outcomes Alignment Examples Resources/Activities
3.1.1 Construct and interpret line plots and scattergrams.

3.1.2 Select appropriate data to solve simulations and real world problems.

3.1.3 Introduce finding the median, mode, maximum, minimum and range of a given set of numbers.

3.1.4 Make predictions based on interpretation of data.

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

    

 

 

 

 

 


What is the likelihood of drawing an F card out of a bag containing index cards with the letters of the word FANTASTIC?

 

Functions, Relations, and Algebra

Broad Goal: Students will recognize and describe patterns.

4th Grade
Student Outcomes Alignment Examples Resources/Activities
4.1.1 Recognize, describe, extend, and create a variety of patterns, using models and simple rules.

4.1.2 Use calculators to create patterns.

      

 

Arrays and Shares - TERC (Scott Foresman)

Functions, Relations, and Algebra

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

4th Grade
Student Outcomes Alignment Examples Resources/Activities
4.2.1 Interpret the symbols greater than and less than to demonstrate inequalities in numerical expressions.

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

4.2.3 Plot positive whole numbers on a coordinate system.

4.2.4 Introduce simple linear equations with one variable using concrete materials.

    

 

 

 

 

o  o   o
oo ooo oooo

1st      2nd      3rd

 

Functions, Relations, and Algebra

Broad Goal: Students will analyze change in various contexts.

4th Grade
Student Outcomes Alignment Examples Resources/Activities
4.3.1 Demonstrate an understanding that a change in the length of a side will affect the perimeter and area of a polygon.

4.3.2 Record and discuss data in situations where change is occurring.