SAU #35 Grade 2 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.

2nd Grade
Student Outcomes Alignment Examples Resources/Activities
1.1.1  Order numbers from a set of numbers 0-100 from least to greatest and vice versa.

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

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

1.1.4 Read and write whole numbers 0-100.

1.1.5 Use physical models (Unifix cubes, base 10 pieces) to show understanding of place value.

 

1.1.6 Recognize and demonstrate the difference in magnitude (reasonableness of an answer, number sense) of a whole number.

 

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

1.1.8 Use a model, demonstrate common fractions as part of a whole.

 

1.1.9 Using physical models or illustrations, introduce the comparison of common fractions between zero and one.

1.1.10 Using a model, demonstrate common fractions as part of a set.

1.1.11  Given a fractional model/drawing, express it in terms of a numerator and denominator.

1.1.12 Skip count by twos, threes, fives, and tens starting at a multiple of the number.

1.1.13 Identify even/odd numbers and explain the difference.

1.1.14  Use manipulatives (i.e. money) to introduce the concept of decimal place value.

 

 

 		   


84 equals 8 tens and 4 ones, 84 equals 7 tens and 14 ones.

 

 


Given a model, identify and write a 2-digit number or when given a number, construct a model of that number.

If every child in a class read two books, about how many books were read:  4, 40, or 400?


Calendars, clocks, signs, and literature

 


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

 

 

 

Halves, thirds, fourths

  

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Overhead fraction pieces
Paper plate cut into "pie" slices
Pattern block templates

Numbers, Numeration, Operations, and Number Theory

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

2nd 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 multiplication using pictures, models, manipulatives, etc.

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

1.2.4 Demonstrate and explain the inverse relationship between addition and subtraction.

1.2.5 Using manipulatives/diagrams to represent multiplication as repeated addition and/or arrays (area model).

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

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

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

 EDM 3.7

 

EDM 3.7



 

 




EDM 3.7

    

Numbers, Numeration, Operations, and Number Theory

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

2nd Grade
Student Outcomes Alignment Examples Resources/Activities
1.3.1 Develop proficiency with addition facts for sums up to 12 and subtraction facts with minuends no greater than 12.

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

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

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

1.3.5 Add two or more whole numbers whose sum is less than 100 with or without regrouping.

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

1.3.7 Use a calculator to explore or to extend addition to 3-digit numbers and subtraction to include 2- and 3-digit numbers.

1.3.8 Use manipulatives to illustrate subtraction algorithms with regrouping.

1.3.9 Use a variety of invented algorithms to solve addition and subtraction problems.

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

      

Geometry and Measurement

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

2nd Grade
Student Outcomes Alignment Examples Resources/Activities
2.1.1 Name, model, describe and classify common two- and three-dimensional objects (to include pyramids).

2.1.2 Determine when pairs of figures are congruent or similar.

2.1.3 Recognize and create shapes that have line symmetry.

     Build shapes with toothpicks and mini-marshmallows
 


 

Cut out shapes and fold to find lines of symmetry

Geometry and Measurement

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

2nd Grade
Student Outcomes Alignment Examples Resources/Activities
2.2.1 Copy, compare, and visualize shapes by drawing and using manipulatives (to include pyramids).

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 cube; build a container that would hold a specific amount of a given quantity.

 Use templates to copy shapes
 


 

Toothpicks and marshmallows

Geometry and Measurement

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

2nd Grade
Student Outcomes Alignment Examples Resources/Activities
2.3.1 Recognize and apply flips, turns, and slides.

 

 		  Use a quantity of cut triangles to form 2D shapes (three triangles to make a trapezoid) Progress in Math - Grade 3 Sadlier-Oxford

Geometry and Measurement

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

2nd Grade
Student Outcomes Alignment Examples Resources/Activities
2.4.1 Demonstrate 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, 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 of measure.

2.4.5 Estimate the area and volume of geometric objects using non-standard units of measure.

  
 

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



 




 

How many cups of popcorn are in a given cylinder?
 






 



 




 

Using base ten pieces with 1 piece = 1 cubic cm, make structures and find volume and surface area

Geometry and Measurement

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

2nd Grade
Student Outcomes Alignment Examples Resources/Activities
2.5.1 Tell time to the nearest 5-minute interval.

2.5.2 Identify the time indicated by the passage of hour intervals.

2.5.3 Read a thermometer to the nearest degree.

2.5.4 Identify and give the value of a quarter and half-dollar and dollar.

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

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

  
 

It is now 11:10, what time will it be 2 hours from now?

 Write the time on every math assignment

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.

2nd 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

  
 


 


 

bar, picture, and circle graphs.

  

Functions, Relations, and Algebra

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

2nd 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
 



 

Add 1, add 2 {3,4,6,7,9}

  

Functions, Relations, and Algebra

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

2nd 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.

2nd Grade
Student Outcomes Alignment Examples Resources/Activities
4.3.1 Describe quantitative change.
 

4.3.2 Record data in situations where change is occurring.

   Increase in student height per year.
 

Science experiment: measure change in water temperature over one hour