Department/Grade:  Math/Grade 2        Course:  2nd  Grade Math         Revision Date:  April 2008

 

Required/Elective:  Required                 Course Length:  1 year  Pre-requisite: 1st  Grade Math

 

Course Description: 

 

COURSE OBJECTIVES

CONTENT OUTLINE

1.  Students will develop an understanding of numbers, number systems and number relationships.

 

 

 

 

 

 

 

 

Pennsylvania Academic Standards for Mathematics

2.1.  Numbers, Number Systems and Number Relationships

1.  Identify and count by 2’s, 3’s, 5’s, 10’s and 25’s to 100 and by 100’s to 1000

     Compare two whole numbers between 0 and 1000 using symbols and words (<,> and =)

     Write numerals for number words through 100

     Identify the place value of each digit in a 3 digit number to 999 using numeration models

     Identify odd and even numbers through 100

     Read and write numerals for ordinal number  words through 100

     Count and compare a collection of coins to/and including 1 dollar, and identify correct usage of cent sign, $ and decimal point

     Relate addition and subtraction by completing fact families through 18

     Use pictures and concrete objects to build and compare fractional regions-halves, thirds, fourth

     Estimate, approximate or use exact numbers as appropriate

 

2.  Students will apply computation and estimation skills in mathematical operations.

 

 

 

 

 

 

 

Pennsylvania Academic Standards for Mathematics

2.2.  Computation and Estimation

2.  Recall basic facts, sums through 18 and the corresponding subtraction facts

     Use estimation skills to arrive at conclusions

     Add 3 or 4 one-digit and two-digit numbers with sums through 99 (regrouping and no-regrouping)

     Solve equations and describe the operations using written and oral language, with whole numbers whose sum or difference is less than 99

     Introduce repeated addition as it relates to multiplication facts 0-5

     Identify information needed to solve a problem

     Create and solve word problems

     Determine the reasonableness of calculated answers

     Solve single and double digit addition and subtraction problems with regrouping in vertical form 

 

3.  The students will demonstrate an understanding of true and estimated measurements.

 

 

 

 

 

 

Pennsylvania Academic Standards for Mathematics

2.3.  Measurement and Estimation

3.  Compare length, capacity, temperature, weight, time, area, perimeter and demonstrate that a single object has different attributes that can be measured

     Estimate and measure actual length, using non-standard units, and inch ruler or meter stick of pictorial and concrete objects

     Identify equivalent capacities using cups, pints, and quarts

     Identify measurements from least to most and greatest value

     Introduce metric measurement-liter and kilogram

     Read and write temperatures using Celsius and Fahrenheit thermometers

     Read and write time to 5 minutes, using both analog and digital clocks

     Determine and compare elapsed time

     Given a calendar, determine past and future days of the week and identify specific dates

4.  The students will communicate their use of mathematical reasoning and problem solving.

 

 

Pennsylvania Academic Standards for Mathematics

2.4  Mathematical Reasoning and Connections

2.5  Mathematical Problem Solving and Communication

4.  Make, check and verify predictions about the quantity, size and shape of objects and groups of objects

     Determine when sufficient information is present to solve a problem and explain how to solve a problem, both orally and in written form

     Select and use appropriate method, materials and strategy to solve problems

     Use measurement to solve problems in everyday situations 

     Use logical reasoning to solve problems  

 

 

 

 

5.  The students will predict and interpret data they have gathered and organized.

 

 

 

 

Pennsylvania Academic Standards for Mathematics

2.6.  Statistics and Data Analysis

2.7 Probability and Predictions

5.  Gather, organize and display data using pictures, tallies, charts and bar graphs and pictographs, line graphs

     Read, construct, interpret, and solve problems, using bar graphs, tally charts and pictographs, line graphs

     Understand the term probability using prediction and simulation

     Analyze data using the concept of largest, smallest, most often, least often and middle

     Identify a spinner that is fair or unfair and explain why

     List and represent the possible results of an experiment

 

6.  The students will use algebra and functions.

 

 

 

 

 

 

Pennsylvania Academic Standards for Mathematics

2.8.    Algebra and Functions

6.   Recognize, describe, extend and replicate a variety of patterns based on shape, size, color, sound, and number.

      Demonstrate simple function rules of both addition and subtraction

      Substitute a missing addend in number sentences

      Create a story to match a given combination of symbols and numbers

      Verbally and in written form explain the meaning of numbers and symbols

     Locate points on a simple grid

     Use trial and error to solve number sentences with missing operation sign and check if solution is sensible or accurate

      

 

7.       The students will demonstrate knowledge of basic geometric and

Trigonometry concepts.

Pennsylvania Academic Standards for Mathematics

       2.9  Geometry

       2.10 Trigonometry

7.  Identify and draw plane figures

     Name and label characteristics of a cube, rectangular solid, pyramid, sphere, cylinder and cone

     Identify and draw congruent figures and lines of symmetry

     Find and describe geometric figures in real life

     Identify angles in the environment 

 

8.  The students will demonstrate basic concepts of calculus.

 

 

 

 

 

 

 

 

 

 

 

Pennsylvania Academic Standards for Mathematics

2.11.  Concepts of Calculus

8.   Identify whole number quantities and measurements from least to most and greatest value

      Identify least and greatest values represented

      Categorize rates of change as faster and slower

      Continue a pattern of numbers or objects that could be extended infinitely

 

 

 

 

 

 

 

 

 

 

 

RESOURCE MATERIALS

ASSESSMENT

Houghton Mifflin Mathematics text

Available Computer Software

Teacher Made Materials

Investigation Texts

Refer to Standards Booklet

Measuring Tools

   *ruler

   *meter stick

   *yard stick

   *scale

Calendars

Study Island

Hundred’s Chart

Judy Clocks

Calculators

Solid Shapes

Pattern Blocks

Play money

Base 10 blocks

·          Teacher Made Tests

·          Text Book Tests

·          Teacher Observation

·          Student Oral and Written Responses

·          Checklists

·          Student Demonstration

·          Small Group Activity