1st 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. Also, many of the activities/exercises include assorted visuals, and there is a good variety of questions within each topic.

Numbers & Operations Accomplishments

1.1.1

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

 

a.

count by twos, fives, and tens to 100;  
b.
count a group of objects by ones to 100;  
c.
count a group of objects by twos, fives, and tens up to 30;  
d.
count forward or backward by one beginning with any number less than 100;  
e.
recognize the place value of a digit in numbers to 99;  
f.
read and write numerals up to 100;

Hundreds Chart - Place the numbers in the correct spot.

Numbers & Number Words - Match the numbers to the words.

g.
count by tens from any number using a hundred chart;  
h.
use manipulatives to model whole numbers to 99 (e.g., base-ten blocks, sticks, straws);  
i.
identify odd and even whole numbers to 50; Odd & Even - Practice from Sadlier Oxford
j.
model halves and fourths of a single object or figure;  
k.
model halves and fourths of a set of objects;  
l.
match the spoken, written, concrete, and pictorial representations of 1/2 and 1/4; Fractions - Sort the pictures into those showing 1/2, 1/4, and 1/3.
m.
recognize one whole as two halves or four fourths;  
n.
count the value of a set of coins up to fifty cents;

Count Coins - Count the coins.

Count On from Dimes & Quarters - Practice counting coins.

Trade for Dimes - Do the coins equal a dime?

Count Coins -

o.
order whole numbers less than 100  
p.
represent numbers 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);

Ways to Make Numbers - Represent the number in different ways.

Number Names - Write the numbers in expanded form.

q.
apply the language of ordinal numbers up to twelfth;

Ordinal Numbers - Choose the correct place in line.

Ordinals - Click on the correct bullseye.

r.
compare two numbers using the appropriate symbol (i.e., <, >, =); Compare Numbers - Practice from Sadlier Oxford.
s.
use a number line or hundred grid to determine one more or one less than any number to 50.  
1.1.2

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

 

a.

Explain the reasonableness of a solution;  
b.
Solve simple story problems involving addition and subtraction with numbers less than 20;  
c.
Develop story problems that illustrate basic addition and subtraction facts.  
1.1.3

Solve problems, compute fluently, and make reasonable estimates.

 

a.

Use words, actions, pictures, and manipulatives to solve problems;

Addition Facts to 12 - Use the manipulatives to solve the problem.

Subtraction Facts to 12 - Use the manipulatives to solve the problem.

Other Names for Numbers - Pick the two apples that add to the number on the sign.

b.
Use pictures or objects, such as ten frames, to show one more or one less than any number to 99;  
c.
Estimate the number of objects in a group and explain the reasoning for the estimate;  
d.
Explain and justify solutions and strategies in problem solving;

Pattern Machine - Beginning input/output machine.

Related Addition & Subtraction - How do the facts relate to one another?

e.
Use a variety of strategies to add and subtract two-digit whole numbers (e.g., counting up or back, taking away, doubles plus one, comparison, number relationships, modeling)

Add Tens & Ones - Use virtual manipulatives to add the ones & the tens.

Subtract Tens & Ones - Use virtual manipulatives to subtract the ones & the tens.

f.
Use calculators in problem-solving situations.  
     

Algebra Accomplishments

1.2.1

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

 

 

a.

sort objects by two attributes;  
b.
describe how objects in a group are alike and how they are different. Venn Diagrams - Sort the objects.
1.2.2

Represent and analyze patterns and functions.

 

a.

identify and describe growing patterns found in literature, in the environment, in physical arrangements, and in pictures;  
b.
translate a repeating pattern from one medium to another (e.g., red-blue-blue to snap-clap-clap);  
c.
create, describe, and extend concrete, visual, auditory, and number patterns;  
d.
identify the unit of a two-part repeating pattern.  
1.2.3

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

 

a.

use manipulatives to demonstrate addition and subtraction sentences written symbolically involving numbers 0-20; More Fact Families - Practice from Sadlier Oxford.
b.
communicate and use mathematical terms and symbols appropriately;  
c.
interpret and solve simple open addition sentences. Sums to 18 - Challenges you to solve the number puzzle.
1.2.4

Illustrate general properties of operations.

 
a.
apply the commutative property of addition.  
1.2.5 Analyze change in various contexts  

 

Geometry Accomplishments

1.3.1

Analyze characteristics and properties of geometric shapes.

 
a.
recognize basic properties of and similarities and differences between simple geometric figures (e.g., number of sides, corners);  
b.
predict and describe the results of putting together and taking apart two- and three-dimensional geometric figures.  
1.3.2

Specify locations and describe spatial relationships.

 
a.
uses directional terms in a variety of situations (e.g., over, under, forward, backward, between, right, left);  
b.
apply spatial sense to create a figure from memory;  
c.
identify the position of a whole number on the number line.  
1.3.3 Recognize and apply flips, slides, and turns. Same Size & Shape - Find the objects that are the same.

 

Numbers & Operations Accomplishments

1.4.1

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

 

a.

compare and order objects according to length, capacity, and weight;  
b.
recognize the need for standard units of measurement.  
1.4.2

Apply appropriate techniques and tools to determine measurements.

 

a.

demonstrate understanding of the concept of length;  
b.
measure and estimate length using a variety of non-standard units;  
c.
measure to the nearest inch or centimeter;  
d.
measure weight to nearest pound or kilogram;  
e.
recognize a calendar is a way of measuring time; Yesterday, Today, Tomorrow - Use the calendar to click on yesterday & tomorrow.
f.
describe the relationship between days and months;  
g.
read and write time to the hour and half-hour; Tell Time with Kat - Students can set the hands, then click to see the time.
h.
compare units of time;  
i.
use a thermometer to measure temperature.  

 

Data Analysis Accomplishments

1.5.1

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

 
a.
represent and interpret data using concrete objects, pictures, pictographs, and bar graphs.

Pictographs - Tutorial

Pictographs - Make a pictograph to match the Tally Chart.

1.5.2 Apply the basic concepts of probability.  
a.
describe events related to students’ experiences as likely or unlikely.

Certain, Possible, or Impossible - Tutorial

More, Less, or Equally Likely - Paint the spinner to match the directions.