D11-DOI-Mathematics-1st Grade, Yearly Overview

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Mathematics

First Grade: Yearly Overview

Overview (En Español)
View the Video Introduction. (Number Lines) First grade mathematics focuses on learning critical mathematics skills and includes lessons on number sense, patterns, geometry, graphs, computation, measurement, and problem solving. First graders will experience activities counting numbers up to 500, backward from 20, skip counting by 2’s, 5’s, and 10’s, identifying greater than, less than, and equal to numbers, odd and even numbers, and estimating numbers to 300. By the end of the year, students will have developed an understanding of how numbers are represented in patterns, graphs, and shapes.

For Teachers

Prior Grade

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Semester 1
Quarter 1: August Unit (@10 days)
Quarter 1: September Unit (@ 20 days)
Quarters 1 & 2: October Unit (@ 20 days)
Quarter 2: November Unit (@15 days)

Quarter 2: December Unit (@ 15 days)

Semester 2
Quarter 3: January Unit (@ 15 days)

Quarter 3: February Unit (@ 20 days)
Quarters 3 & 4: March Unit (@ 15 days)

Quarter 4: April Unit (@ 20 days)
Quarter 4: May Unit (@ 15 days)

Enduring Understandings are important ideas that students should carry with them years beyond the instruction received this year.

Numbers can be represented in patterns, graphs, and shapes.
Shapes can be used to help us see patterns and measure.
Graphs help us understand information.
Numbers can be shown, put in order, and spoken of in many different ways (one to one correspondence and money).
We need number sense to help us find reasonable solutions.
Creating and analyzing data displays helps us make sense of information.
Addition and subtraction and a sense of geometric shape can help us solve real world problems.
Recognizing patterns helps us make sense of our world.
Appropriate tools and units are needed to measure.
Recognition and expression of size communicates measurement relationships.
Essential computational skills are needed to solve real world problems.
In order to communicate mathematical ideas, we must be able to understand and use the language of math.

Essential Questions are most important “big picture” questions students should be able to answer after completing learning activities.

How might you show a repeating pattern of shapes or numbers?
How does a graph give information without many words?
How many ways can you show the length of something?
How can we show numbers and talk about them?
How can you use computation, reasoning, and estimation in solving problems?
How do you know when to use addition or subtraction?
What patterns do you see every day?
What number patterns do we use for counting?
When might we use graphs to help solve a problem, and how do we create them?
What are some geometry words? How can we use them to solve problems?
How do we measure time?
What are some non-standard units you could use to measure something?
How do you know you have achieved a quality solution?
In what ways can numbers be communicated, represented, and ordered (one to one correspondence and money)?
Why does having a sense of number help find reasonable estimations?
In what ways can computation be expressed in problem solving situations?
What mathematical tools are used in problem solving situations to create simple graphs?
Why does having a sense of number help find reasonable estimations?

CSAP Tested Standards Highest Frequency High Frequency Other Standards and E-Skills

Highest Frequency = the timing, intensity and level of accountability is extremely high because mastery of these skills will must be demonstrated at this grade level.
High Frequency = the timing, intensity and level of accountability is high because mastery of these skills is expected at this grade level.
Other Standards and E-Skills = the timing, intensity, and level of mastery are not urgent. It should be introduced during this time so students can experience the concept and return in future quarters to strive towards mastery.

Standard 1: Number Sense - August
Count, read, write, and order numbers to 100
Identify odd/even numbers to10
Estimate numbers to 10
Know coin values (penny, nickel, dime, and quarter)
Standard 4: Geometry - August
Identify and draw two dimensional shapes (triangle, circle, square, and rectangle)
Standard 5: Measurement - August
Read, create, and interpret picture graphs
Standard 1: Number Sense - September
Count by 1s, 10’s to 100
Understand greater than, less than, equal to (use whole numbers to 50)
Use the terms of estimation correctly (about, near, closer to, a little less than)
Make reasonable estimates to 30
Standard 2: Patterns - September
Identify, describe, create, and extend patterns (AB Patterns and Patterns in shapes)
Identify number patterns (calendar activities and hundreds chart)
Standard 3: Data and Graphs - September
Read and interpret simple picture graphs
Standard 4: Geometry - September
Label basic 2 dimensional shapes appropriately
Standard 5: Measurement - September
Tell time to the hour using an analog and digital clock
Measure using nonstandard units (cubes, paperclips)
Standard 6: Computation - September
Practice math facts to 5 using manipulative (addition and subtraction)
Choose and apply strategies to solve problems (know when to add or subtract)
Standard 1: Number Sense - October
Make reasonable estimates to 40
Exchange coins (pennies and nickels)
Math number words with quantities of 10
Read, write, and count numbers to 100
Understand greater than, less than, equal to (use whole numbers)
Identify odd and even numbers to 20
Standard 2: Patterns - October
Create and extend patterns AB, ABB, ABC
Standard 3: Data and Graphs - October
Read and interpret simple picture graphs
Collect data and create picture graphs
Standard 4: Geometry - October
Recognize, identify and sort basic two dimensional geometric shapes by various characteristics
Introduce basic spatial terminology (inside, outside, above, below, between, behind)
Standard 5: Measurement - October
Measure using nonstandard units (cubes, paperclips)
Standard 6: Computation - October
Add and subtract numbers to 10 with manipulative using pictures and number sentences.

Standard 7: Problem Solving - October

Collect data and create picture graphs

Standard 1: Number Sense - November

Read, write, and count numbers to 200

Count backward to 20

Recognize numbers in random order to 200

Order and compare numbers to 75 (greater than, less than, or equal to)

Identify whole and half using various objects

Exchange coins pennies and dimes

Make reasonable estimates to 30

Identify odd and even to 20

Standard 2: Patterns - November

Count by 2’s to 100

Identify number patterns

Standard 3: Data and Graphs - November

Create and interpret simple bar and picture graphs

Standard 4: Geometry - November

Create two dimensional shapes (circle, square, triangle, and rectangle)

Demonstrate understanding of basic spatial terminology to describe environment (above, below, inside, outside, between, and behind)

Standard 5: Measurement - November

Tell and write time to the hour

Tell and write time to the half hour

Identify the characteristics of length and weight, (tall, short, long, wide, narrow, thin, heavy, light)

Standard 6: Computation - November

Add and subtract numbers to 12 with manipulatives and written expression

Standard 7: Problem Solving - November

Choose and apply strategies to solve mathematical and real world problems (addition, subtraction, reasonable estimations facts to 12)

Standard 1: Number Sense - December

Count on from any number to 100

Match number words with quantity 1-20

Order and compare numbers to 75

Identify wholes and halves

Exchange coins (pennies, nickels, and dimes[s2] )

Make reasonable estimates to 50

Identify odd and even to 20

Standard 2: Patterns - December

Count by 5’s and 10’s to 100

Identify patterns in skip counting 2’s, 5’s and 10’s

Standard 3: Data and Graphs - December

Create and read simple picture and bar graphs

Explain the process of creating picture and bar graph

Demonstrate understanding of results of graphs

Standard 5: Measurement - December

Tell time to the hour

Identify characters of length and weight (tall, short, long, wide, narrow, thin, heavy, and light)

Tell time to the half hour

Standard 6: Computation - December

Add and subtract numbers to 12 with manipulatives and expression

Standard 7: Problem Solving - December

Choose and apply strategies to solve mathematical and real world problems

Demonstrate a basic of understanding of spatial terminology to describe their environment (above, below, between, behind, inside, and outside)

Standard 1: Number Sense - January

Identify numbers in the hundreds

Order and compare numbers to 100

Read, write, and counts to 300

Identify ordinal numbers first-tenth

Identify ones and tens place value

Identify commonly used fractions thirds and quarters

Demonstrate different strategies to solve problems (estimation)

Standard 2: Patterns - January

Identify patterns in skip counting 2’s, 5’s and 10’s to 100

Review AB, ABB, ABC patterns

Standard 3: Data and Graphs - January

Demonstrate an understanding of daily events involving probability

Explain results of various class graphs

Standard 4: Geometry - January

Identify three dimensional shapes within their environment

Identify three dimensional shapes (cube, cylinder, sphere, prisms, and pyramids)

Standard 5: Measurement - January

Tell and write time the hour and half hour

Measure lengths in different objects using inches

Demonstrate the concept of time and how it is measured (seconds, minutes, or hours)

Standard 6: Computation - January

Add and subtract numbers to 15 with manipulatives and written expressions

Demonstrate different strategies to solve problems (estimation, addition, and subtraction)

Standard 1: Number Sense - February

Write, read, and count numbers to 300

Order and compare numbers to 100

Review exchanging value of coins pennies, nickels, and dimes

Identify and use ordinal numbers to first to tenth

Identify tens and ones place value

Identify commonly used fractions thirds and quarters

Choose and demonstrate different strategies to solve mathematical and real world problems (estimation)

Make reasonable estimates to 40 and uses common terms for estimation (about, near, closer to, greater than, less than)

Standard 3: Data and Graphs - February

Demonstrate understanding of daily events involving probability

Explain the results of various class graphs

Standard 4: Geometry - February

Identify three dimensional shapes

Standard 5: Measurement - February

Measure the length of different objects using inches

Demonstrate concept of time

Standard 6: Computation - February

Add and subtract numbers to 15 using manipulatives and written expression

Choose and demonstrate different strategies to solve mathematical and real world problems (addition, subtraction, and estimation)

Standard 1: Number Sense - March

Read, write, and count numbers to 400

Review prior high frequency number sense concepts

Identify and use ordinal numbers first to tenth

Identify tens and ones place value

Make reasonable estimates to 40

Identify commonly used fractions thirds and quarters

Demonstrate ability to chose and apply strategies to solve mathematical and real world problems (estimation)

Identify a quarter and its value

Standard 2: Patterns - March

Review prior high frequency pattern concepts

Standard 3: Data and Graphs - March

Review prior high frequency data and graphs concepts

Standard 4: Geometry - March

Identify three dimensional shapes

Standard 5: Measurement - March

Measure the length of different object using inches

Demonstrate concepts of time (minutes, seconds, hours)

Standard 6: Computation - March

Review prior high frequency computation skills

Demonstrate ability to chose and apply strategies to solve mathematical and real world problems (addition, subtraction, estimation).

Standard 1: Number Sense - April

Read, write, and count to 500

Make reasonable estimates to 50

Exchange and count combinations and coins in different ways (pennies, nickels, dimes, and quarters)

Compare fraction parts with manipulatives

Standard 2: Patterns - April

Create and extend patterns using manipulatives and addressing real world problems

Standard 3: Data and Graphs - April

Review all prior graphing and data concepts

Use daily events to predict likely and unlikely outcomes

Understand when an outcome is certain to occur or impossible to occur

Standard 4: Geometry - April

Build models of geometric shapes

Sort three dimensional shapes by attributes

Explain the process of sorting and classifying three dimensional shapes

Standard 5: Measurement - April

Measure different objects using inches

Review telling time to the hour and half hour

Measure different objects using centimeters

Introduce time to the quarter hour

Communicate reasons for choosing certain tools for measuring

Standard 6: Computation - April

Add and subtract fluently to 20

Review prior problem solving skills

Explain problem solving process written or orally

Standard 1: Number Sense - May

Review all prior red number sense concepts

Standard 2: Patterns - May

Review all prior red pattern concepts

Standard 3: Data Graphs - May

Review all prior red data/graphs concepts

Use daily events involving probability to predict likely versus unlikely

Understand when an outcome is certain to occur or impossible to occur

Standard 4: Geometry - May

Review all prior red geometry concepts

Explain the process in sorting and classifying objects in three dimensional shapes

Standard 5: Measurement - May

Review all prior red measurement concepts

Measure different objects using centimeters

Communicate reasons for choosing certain tools for measuring

Standard 6: Computation - May

Review all prior red computation concepts

Review all prior red problem solving concepts

Explain problem solving process written or orally

Introduce 2-digit computation

Grade 1 Essential Vocabulary

Use the Visual Thesaurus and use the approved login and password to the right.

fact family/
turn around facts/
fact triangles

flip, slide, turn

greater than

grouping

impossible/

improbable; less likely/more likely

K-5 Math Vocabulary Listed by Grade Level

Research confirms that students must have at least 6 opportunities through varied means to experience the same vocabulary before it can be applied. Here are 6 sample methods for teaching the vocabulary for this unit: These examples are endorsed by the Mid-Continental Research in Education Laboratory (MCREL) Six Step Strategy for Improving Vocabulary. Instead of looking at a dictionary first, follow the 6 steps to insure students have a full understanding. Read more about Research on Teaching Vocabulary.

Step 1: Teacher provides a description, explanation, or example of the term
Step 2: Student restates the description, explanation, or example in his/her own words
Step 3: Student designs a visual representation

Use the suggested Vocabulary Activities for Steps 4-6.

Step 4: Student completes activities that provide practice for using terms in writing
Step 5: Students review and discuss word meanings
Step 6: Students practice words with games

Resources: National Virtual Library of Manipulatives (NVLM) - K-12 math support for Number & Operations, Algebra, Geometry, Measurement, and Data Analysis & Probability

Sample Units

Parents

You can help support your first grader’s math learning by providing counting opportunities at home. Counting uncooked pasta or beans in a cup or other quantity reinforces 1 to 1 correspondence and counting fluency. Remarking about what time it is when supper is ready (or other regular home events) on the kitchen clock reinforces the idea of time. Asking about how many items are in your hand without actually counting first reinforces estimation skills. Asking which hand has more, less, or the same amount strengthens amount awareness. Talking about shapes and patterns in wall paper, tiles, or plants helps children become aware of the many patterns in the world around us.

You can support your first grader in quarter 2 mathematics by helping them count backward from 20 and forward to 200, and skip counting by 2’s, 5’s, and 10’s. Counting to the tune of a familiar nursery song can help with memory work. Point out the difference between a whole piece of fruit, bread, or candy bar and a half a piece. Use a favorite toy to help your child understand the spatial terms above, below, behind, beside, under, inside, and outside. These simple activities are low cost with high academic returns.

Third quarter mathematics for your first grader brings many opportunities for growth at school and at home. Consider supporting your child in mathematics by counting to higher numbers by 1's, 2's, 5's, and 10's. Number and object patterns are reviewed all of 3rd quarter, so help your child create patterns with colored candies, pasta shapes, coins, or other common objects. Include talk about ordinal numbers like first, second, third, and on up to tenth. You can also act out simple addition/subtraction stories using objects. Cut cookies or pizzas in halves, thirds, or fourths to help your child understand fractional parts of a whole. The possibilities are endless, and the return is priceless. Have fun with your first grader and numbers!

Congratulations for helping your first grader attain the necessary mathematical skills for fourth quarter. Your child has experienced many math concepts to this point in the year, and you can help him/her finish the year well. Any activities you have enjoyed together so far should be revisited. These activities will help you both realize and be proud of just how much your child has learned. Consider adding to your review activities; making reasonable estimates to 50, reinforce the ones and tens places; measure lengths in inches; create and extend patterns using manipulatives; reinforce ordinal numbers from first to tenth, review telling time to the hour, minute, and second; build models with geometric shapes; sort 3 dimensional shapes by color, size, shape, number of sides and corners, etc.; use probability words (likely, unlikely, certain, impossible, predict, estimate) to predict answers in addition and subtraction; review addition and subtraction problems to 20, and discuss solution strategies and thought processes in problem solving. This sounds like a lot to do, but any mathematical activities will be fun for you and your child and will strengthen his/her math fluency. Fluency is important in reading and mathematics, and it takes practice to attain!

Reading and Math Strategies for Parents - includes the top 10 strategies in each subject.

Everyday Mathematics Resources

Math Expressions Resources

Everyday Mathematics requires lesson by lesson presentation to preserve the spiral nature of the instruction. The page links provided on the Unit Chart are for comparison only. Teachers are advised to follow the district-determined EDM pacing calendar.
Everyday Math Games for First Grade
Everyday Math Daily Routine

Click the following links to find books and games correlated to units of instruction K - 5th grades.

MX Literature Lists

MX Game Lists
MX Daily Routine

Sample Units

Parents

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