2nd Grade Mathematics

Rainforest Maths - tons of great math resources for grades K-6. The interface of the whole site is also colorful, inviting and age-appropriate. Many of the activities/exercises include assorted visuals, and there is a good variety of questions within each topic.

Numbers & Operations Accomplishments

2.1.1

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

 

a.

count a set of objects to 100 using an efficient grouping strategy (e.g., two’s, three's, five’s, ten’s);

Dot2Dot - Choose a picture, then follow the numbers. Requires Shockwave.

The Counting Game - Choose a number to count by(1-9) - then play the game. From Learning Planet.

Count by 2's - Pick the fish with the correct number.

What Number Is Missing?- From Saxon. Study the pattern and choose the missing number. Counts forward & backward by 10's, 5's, 2's.

Counting by 2's - AAAMath site includes a lesson, practice, and several activities.

Ant Parade - Count by 2's and 3's to pick the correct number of ants.

b.
count forward and backward by one from any number less than 999;  
c.
read and write numerals to 999;  
d.
recognize the place value of a digit in numbers to 999;

Place Value - Put the apples with the correct digit in the barrel.

Expanded Form - Choose 3 ways to show the number.

Place Value of 3 Digit Numbers - What is the value of the underlined digit?

e.
identify odd and even numbers to 100;  
f.
use concrete models or pictures to show whether a fraction is less than a half, more than a half, or equal to a half;  
g.
match the spoken, written, concrete, and pictorial representations of halves, thirds, and fourths;

Fractions - Sort the pictures into those showing 1/2, 1/4, and 1/3.

Fractions - Concentration match the fraction to the picture.

h.
compare the unit fractions 1/2, 1/3, and 1/4; Compare Fractions - Color the blocks correctly and use the correct symbol to compare the fractions.
i.
count the value of a set of coins up to one dollar;

Counting Money - Count the coins and type the correct amount.

Adding Nickels & Pennies - AAAMath site includes a lesson, practice, and several activities.

 

j.
order whole numbers less than 1000; Order - Order the numbers on the train cars.
k.
compare two numbers using the appropriate symbol (i.e., <, >, =);  
l.
represent numbers to 999 in flexible ways using a variety of materials (e.g., 23 as 23 ones, 1 ten and 13 ones, and/or 2 tens and 3 ones);

Expanded Form - Concentration match game.

Regrouping - A concentration game that matches ways to name numbers.

m.
apply the language of ordinal numbers up to twentieth.  
2.1.2

Understand meanings of operations and how they relate to one another.

 

a.

develop a story problem that illustrates a given addition or subtraction number sentence;  
b.
develop a story problem that illustrates a given addition or subtraction number sentence;  
c.
write and identify number sentences that describe situations involving addition and subtraction  
d.
write and explain related addition and subtraction sentence. Relate Addition & Subtraction - Paint related facts the same color.
2.1.3

Solve problems, compute fluently, and make reasonable estimates.

 

a.

solve story problems involving numbers to 100;  
b.
check for the reasonableness of solutions;  
c.
use calculators in problem-solving situations;  
d.
add and subtract efficiently and accurately with single-digit numbers; Three Addends - Choose the three numbers that equal the given number
e.
use a variety of strategies and representations to add and subtract two-digit whole numbers;

Adding 10's & 1's - Add 2 digits with no carrying.

Subtract 10's & 1's - Subtract 2 digit numbers - no regrouping.

f.
explain and justify solution strategies used in problem solving;  
g.
use estimation to justify the reasonableness of a computation. Estimate Sums - Click on the best estimate for the problem before the time runs out.

Algebra Accomplishments

2.2.1

Sort and classify objects by size, number, and other properties.

 

a.

ssort objects by two or more attributes;  
b.
identify the rules by which objects or numbers have been sorted.  
2.2.2

Represent and analyze patterns and functions.

 

a.

extend a growing pattern;  
b.
identify the unit of a three-part repeating pattern;  
c.
translate a repeating pattern from one medium to another (e.g., red-blue-blue to snap-clap-clap);  
d.
determine the output for a particular input given the one-operation function rule involving addition and subtraction.  
2.2.3

Use concrete, pictorial, and verbal representations to develop an understanding of the language and symbols of mathematics.

 

a.

interpret and solve open sentences that involve addition or subtraction;  
b.
use the language and symbols of mathematics appropriately to communicate mathematical thinking;  
c.
use manipulatives to demonstrate addition and subtraction sentences written symbolically involving numbers 0-20.  
2.2.4

Illustrate general properties of operations.

 
a.
apply the commutative property of addition.  
b.
show that subtraction is not commutative;  
c.
apply the addition and subtraction properties of zero.  
2.2.5

Analyze change in various contexts.

 
a.
describe qualitative change (e.g., a student growing taller);  
b.

describe quantitative change (e.g., a student growing two inches in one year).

 

 

Geometry Accomplishments

2.3.1

Analyze characteristics and properties of geometric shapes.

 

a.

Recognize, name, build, draw, and compare two- and three-dimensional geometric figures;  
b.
Describe attributes and parts of two- and three-dimensional geometric figures;  
c.
Recognize shapes that have line symmetry;  
d.
Investigate and predict the results of putting together and taking apart two- and three-dimensional geometric figures.  
2.3.2

Specify locations and describe spatial relationships.

 
a.
Identify the position of whole numbers on the number line.  
2.3.3 Recognize and apply flips, slides, and turns.  
a.
illustrate flips, slides, and turns using concrete and pictorial materials. Patterns - Complete these patterns using flips, slides, and turns.

 

Measurement Accomplishments

2.4.1

Demonstrate understanding of units of measure and measurable attributes of objects.

Choosing Units of Measure - Concentration match.

a.

Compare and order objects according to length, capacity, and weight;  
b.
Demonstrate understanding of the concepts of perimeter and area;  
c.
Identify the measurable attributes of objects in the environment.  
2.4.2

Apply appropriate techniques and tools to determine measurements.

 

a.

Read and write time to the hour, half-hour, and quarter-hour; ClockWorks - from BBC - 3 levels
b.
Relate days, dates, weeks, and months to a calendar;  
c.
Explain the relationship between inches and feet;  
d.
Measure length to the nearest centimeter, foot, half-inch, and inch;  
e.
Use strategies to make estimates of length and time;  
f.
Solve problems involving elapsed time in hour intervals;  
g.
Measure and estimate weight and capacity using a variety of non-standard units;  
h.
Find area and perimeter using non-standard units; Perimeter in Inches - Practice from Sadlier Oxford
i.
Read thermometers with Fahrenheit and Celsius scales.  

 

Data Analysis Accomplishments

2.5.1

Develop, select, and use appropriate methods to collect, organize, display, and analyze data.

 

a.

pose questions and gather data to answer the questions;  
b.
read, interpret, and create tables using tally marks; Bar Graphs - Use the tally chart to complete the bar graph.
c.
create pictographs and bar graphs;  
d.
read and interpret tables, bar graphs, and pictographs. Animal Island Data - from BBC - 3 levels include sorting data & reading graphs
2.5.2

Apply the basic concepts of probability.

 

a.

predict outcomes of events based on data gathered and displayed;  
b.
explain whether an event is likely or unlikely.