Math Curriculum First Grade Essential Question(s), Schemes and Mind Maps of Art

Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking.

Typology: Schemes and Mind Maps

2022/2023

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Math Curriculum
First Grade
Essential Question(s): How do we solve addition and subtraction sentences to solve real world problems with and without concrete objects?
21st Century Theme: Business
21st Century Skills: Critical Thinking and Problem Solving
Content: Operations & Algebraic Thinking
Standards: 1. OA
Skills Instructional Procedures Assessment Resources
Interdisciplinary
Connections
Vocabulary
1. Use addition and
subtraction within 20 to solve
word problems involving
situations of adding to, taking
from, putting together, taking
apart, and comparing, with
unknowns in all positions, e.g.,
by using objects, drawings,
and equations with a symbol
for the unknown number to
represent the problem.1
*Solve for results unknown: 6-
2=__ or 3+__=8
*Concrete models to introduce
& solve addition & subtraction
problems. *Picture
drawings to solve word
problems/and other addition
and subtraction problems.
*Creation of art projects to
depict addition & subtraction
sentences.
Formative Assessment
Open- ended Problem
Self Assessment
Teacher Observation
Benchmark Assessment
Homework Review
Class work Review
Project-Based Assessment
Timed Drills
End of the Year Benchmark
Assessment
Math Software (ex. Study
Island) Group &
cooperative work
Flashcard
Math word wall
Counters (variety)
Connecting Cubes
Chalkboard
Number line
Work mats
Computer
Software
SmartBoard
Flannel Board
Center Games
Math CD songs
Art Creating Pictures
depicting adding &
subtracting sentences.
Writing- Write on
addition & subtraction
word problems.
Vertical subtraction
& addition
Horizontal addition
& subtraction
Fact families
Plus
Sum
Equal
In all
Addends
Difference
Minus
Subtract
Zero
Add symbols
How Many
All together
Double Facts
Doubles Plus
One Facts
Digits
pf3
pf4
pf5
pf8
pf9
pfa
pfd
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pff
pf12
pf13

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First Grade

Essential Question(s): How do we solve addition and subtraction sentences to solve real world problems with and without concrete objects?

21st Century Theme: Business 21st Century Skills: Critical Thinking and Problem Solving Content: Operations & Algebraic Thinking Standards: 1. OA

Skills Instructional Procedures Assessment Resources Interdisciplinary Connections

Vocabulary

  1. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

*Solve for results unknown: 6- 2=__ or 3+__= *Concrete models to introduce & solve addition & subtraction problems. *Picture drawings to solve word problems/and other addition and subtraction problems. *Creation of art projects to depict addition & subtraction sentences.

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work

Flashcard Math word wall Counters (variety) Connecting Cubes Chalkboard Number line Work mats Computer Software SmartBoard Flannel Board Center Games Math CD songs

Art Creating Pictures depicting adding & subtracting sentences. Writing- Write on addition & subtraction word problems.

Vertical subtraction & addition Horizontal addition & subtraction Fact families Plus Sum Equal In all Addends Difference Minus Subtract Zero Add symbols How Many All together Double Facts Doubles Plus One Facts Digits

A. Represent and solve problems involving addition and subtraction.

First Grade

  1. Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.
  • Concrete models to solve word problems. *Picture drawings to solve 3 digit addition problems. (ex. 3+2+1=)

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group &

Concrete counters and objects

Art-Draw related picture for given word problem. Music- addition or subtraction songs

Count on Addends Sum Equations Missing number

  1. Write numbers from 0 to
  2. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).

*Use concrete objects to correlate with given number. *Modeling of correct numeral formation.

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work

Various concrete items Numeral formation Flashcards

Sets Groups Count

First Grade

  1. Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8. Add and subtract within 20.

Use concrete objects to teach concept. Teach students to count up on the number line. 10-8=___ Have students start at 8 and count how many numbers to

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work Student produced models

Counters Connecting Cubes Computer Software SmartBoard Chalk Board MiniWhite Boards Number Line

Literature: Create a subtraction number story book.

First Grade

Essential Question(s): How is addition and subtraction related?

21st Century Theme: Content: Operations & Algebraic Thinking Standards: 1. AO

Skills Instructional Procedures Assessment Resources Interdisciplinary Connections

Vocabulary

  1. Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

*Use drawings to solve addition and subtraction problems. *Use models to introduce and practice addition & subtraction problems.

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work

Number line Manipulatives

Literature: A Bag Full of Pups by: Dick Gackenbach

Counting on counting back

C. Add and subtract within 20.

First Grade

Essential Question(s): How do we determine if number sentences are true or false?

21st Century Theme: Content: Operations and Algebraic Thinking Standards: 1.OA

Skills Instructional Procedures Assessment Resources Interdisciplinary Connections

Vocabulary

  1. Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.

Concrete modeling to introduce equal/not equal concepts. Picture drawings to show equal and not equal sets.

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work

Concrete objects/manipulati ve Number lines Counting Cubes SmartBoart Chalkboard Computer Software

Language Arts: Have students create their own problems for center time.

Equal Signs True False Correct Incorrect Equals "Equal To" Symbol Equal Sets Unequal sets

D. Work with addition and subtraction equations.

First Grade

  1. Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 +? = 11, 5 = _
  • 3, 6 + 6 = _.

Use concrete models, pictures or drawings to solve addition and subtraction problems.

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work

Math CD songs Center games Counting Cubes and other manipulative counters

Have students write addition and subtraction equations related to problems in the classroom. Ex. I have 3 pieces of paper and 6 students, how many more do I need? 3+__=

Missing addends Vertical addition/subtractio n Unknown number

First Grade

21st Century Theme: Content: Numbers & Operations in Base Ten Standards: 1. NBT

Skills Instructional Procedures Assessment Resources Interdisciplinary Connections

Vocabulary

  1. Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases: 10 can be thought of as a bundle of ten ones — called a “ten.” The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones. The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).

*Understand that the two digits of a two digit number represent amounts of tens and ones. *Write number sentences to represent the place value. *Use money to represent place value.

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work

Ten frame Number line Blocks Computer software A+Math (website) Study Island Calendar Word Wall Connecting Cubes 100 Chart Songs Poems Calculators Flash Cards

Literature: Monster Math by: Anne Miranda A Dozen Dogs by: Harriet Ziefert

Ones Tens Grouping Fact Families Facts Doubles Counting on Left/ Right Vertical Horizontal Columns Alignment

  1. Compare two -digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols

, =, and <.

*Compare and order whole numbers to 100. *Use <, >, = to compare whole numbers.

Same as previous standard.

Coins Money Counters

Literature: Just Enough Carrots by: Stuart J. Murphy

More Greater Than Less Than Equal Estimate

B. Understand place value.

First Grade

Essential Question(s):

21st Century Theme: Content: Numbers & Operations in Base Ten Standards: 1.NBT C. Use place value understanding and properties of operations to add and subtract.

First Grade

  1. Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10- 90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Essential Question(s): How can measurements be used to solve problems? 21st Century Theme: Global Awareness 21st Century Skills: Critical Thinking and Problem Solving Content: Measurement and Data Standards: 1.MD

First Grade

Skills Instructional Procedures Assessment Resources Interdisciplinary Connections

Vocabulary

  1. Order three objects by length; compare the lengths of two objects indirectly by using a third object.

*Using SmartBoard or models students will order objects from short to shortest and long to longest. *Understand the inverse relationship between the size of an unit and the number of units. *Students will organize classroom objects.

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work

SmartBoard Assorted measuring tools

Literature: How Big is a Foot? By: Rolf Myller Language Arts: Grammar lesson on the use or er and est endings. Students can write stories using words with these endings.

Length Inch Foot Yard Meter Centimeter Short -er, -est long -er, -est

A. Measure lengths indirectly and by iterating length units.

First Grade

Essential Question(s): Why do we need to tell time? 21st Century Theme: Health Literacy 21st Century Skill: Life and Career Skills Content: Measurement & Data Standards: 1.MD

Skills Instructional Procedures Assessment Resources Interdisciplinary Connections

Vocabulary

  1. Tell and write time in hours and half-hours using analog and digital clocks.

*Use the Judy Clock or SmartBoard to demonstrate telling time to the hour and half hour. Model how to write time properly using both analog and digital units. *Play bingo game match analog to digital time. *Have children practice telling time in small groups using small clocks. *Survey class to gather data about times they eat dinner, go to sleep, wake up, etc.

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work

Judy Clocks Smart Boards Small Clocks for the students Time Bingo Game Digital Clock Analog Clock

Literature: The Grouchy Ladybug by: Eric Carle Social Studies: Create a time line of the students day. Science: Sun rise and sun set Health: How much sleep is needed? Physical Education: Use of the stopwatch.

Hour Minute Second Half Hour Clock Face Minute hand Hour Hand Second Hand Analog Digital

B. Tell and write time.

First Grade

Essential Question(s): How can the collection, organization, interpretation, and display of data be used to answer questions? 21st Century Theme: Global Awareness 21st Century Skills: Critical Thinking and Problem Solving, Information Literacy Content: Measurement & Data Standards: 1.MD

Skills Instructional Procedures Assessment Resources Interdisciplinary Connections

Vocabulary

  1. Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.

*Guide students to collect data and discuss how to represent as a graph. Crate class graph. In journal, write a sentence that describes the data. *Ask students questions about data, or have students formulate their own questions in their journals to ask their classmates.

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work

Graph Pocket Chart Clipboards Math Journals

Science: Graph the weather Language Arts- Journal results into sentences Health: Graph Healthy Foods Physical Education: Graph number of jumping jack, how far can everyone kick a ball, etc.

Graph -picture -bar Most Greatest Least More Less

C. Represent and interpret data.

First Grade

  1. Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half- circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.

*Look at incomplete shapes and identify what the should be. *Compose and decompose two dimensional shapes. *Understand that three dimensional shapes are made up off two dimensional shapes. *Compose and decompose three dimensional shapes. *Identify two dimensional in three dimensional shapes.

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work

Blocks Tangrams Geoboards Three-dimensional Shapes Wiki-Sticks SmartBoards

Art/Engineering: Have students create three- dimensional transportation using recyclable materials in small groups. Have students present their creation to the class.

Make Break apart Trapezoid Half Circle Quarter Circle Right Rectangular prisms Right Circular Cones Right Circular Cylinders

  1. Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

*Develop initial understanding of congruence and symmetry. *Using paper create two shapes that are equal size. *Have children use the SmartBoard to "cut" real world items in halves and quarters. *Walk around the school and identify fractions in the school environment.

Formative Assessment Open- ended Problem Self Assessment Teacher Observation Benchmark Assessment Homework Review Class work Review Project-Based Assessment Timed Drills End of the Year Benchmark Assessment Math Software (ex. Study Island) Group & cooperative work

Fraction Tiles SmartBoard Bar Modeling

Art: Lines of Symmetry Science: Explore Butterflies and the explore the symmetry

Half of Quarter of Halves Quarters Equal Shares Fourth of Cut into