Glen Ridge Public Schools –Mathematics Curriculum
Course Title: Everyday Mathematics
The University of Chicago School Mathematics Project
Subject: Mathematics
Grade Level: One
Duration: 34-36 weeks
Prerequisite: n/a
Elective or Required: n/a
Mathematics Mission Statement
Since Mathematical and Computational thinking are an integral part of our lives and 21st Century learning, students must be actively involved in their mathematics education with problem solving being an essential part of the curriculum. The mathematics and computer science curricula will emphasize thinking skills through a balance of computation, intuition, common sense, logic, analysis and technology.
Students will be engaged and challenged in a developmentally appropriate, student-centered learning environment. Students will communicate mathematical ideas effectively and apply those ideas by using manipulatives, computational skills, mathematical models and technology in order to solve practical problems.
To achieve these goals, students will be taught a standards-based curriculum that is aligned with the National Common Core Standards in Mathematics and the New Jersey Core Curriculum Content Standards in Technology and 21st Century Life and Careers.
Course Description:
The first grade mathematics curriculum prepares students to emphasize conceptual understanding while building a mastery of basic skills. Throughout the course of the year, students will explore many strands of mathematics. These will include the areas of number and numeration, operations and computation, data and chance, measurement and reference frames, geometry, patterns, functions and algebra. The students will become competent mathematicians through both classroom lessons, as well as investigations, games, construction, and other hands – on activities.
The first grade units will emphasize the concept of counting; reading, writing, and modeling whole numbers; investigating whole number place value; exploring fractions; using ordinal numbers. The students will learn addition and subtraction facts and explore fact families. Informal work with properties of numbers and operations will begin as well as values of coin combinations. The program will include collecting, organizing, and displaying data using tally charts, tables, line plots, and graphs as well as exploring concepts of chance. In addition, the students will experience activities involving tools to measure length and weight; using clocks, calendars, timelines, and thermometers. Geometry is also highlighted as the students explore 2- and 3- dimensional shapes. Exploring attributes, patterns, sequences, relations, and functions; finding missing numbers and rules in Frames-and-Arrows and “What’s My Rule?” are also a part of the first grade mathematics program. The Everyday mathematics program explores a broad mathematics spectrum preparing students to achieve their maximum potential in mathematics.
Author: Helene Maia
Date Submitted: Summer 2012
Course Name: Everyday Mathematics: Grade 1
Unit 1: Establishing Routines
Approximate # Of Weeks: 4 weeks
Essential Questions:
· How does the world around us relate to mathematics? How do we use numbers in our everyday lives?
· How do tools such as calendars, clocks, thermometers, and calculators, help us to find answers and stay organized?
· Why do we make and follow rules for small group work and partner study routines?
· How does recording data using tally counts help us?
· How does using a number line for counting help us when comparing pairs of numbers?
Upon completion of this unit students will be able to:
· Relate to the number line as a tool representing the number of days in a school year; and as a tool to practice counting up on a number line. (1.NBT.1)
· Finding the number that is 1 more or 1 less than a given number; comparing pairs of numbers. (1.OA.1)
· Use tally marks for data representation. (1.MD.3.)
· Interpret the calendar as a device for keeping track of the days in a month. (1.MD.3)
· Solve a simple number story about animals or pennies and draw a picture to illustrate it. (1.OA.2)
Interdisciplinary Standards (njcccs.org)
· Standard 9.1 – 21st-Century Life & Career Skills
· Standard 8.1 – Computer and information Literacy
· Standard 5.1 – Science Practices
Activities – include 21st Century Technologies:
· Online activities: ie: everydaymathonline.com, EM online home connection
· E-presentations, EM Facts Workshop Game (provides online practice of basic facts and computation)
· SMARTBoard lessons
· Everyday Math computer games: practice math skills without internet connection
· Establish classroom math routines: ie; calendar, class daily schedule (time), number of days in school, indoor and outdoor temperature, Math Boxes, Homelinks, etc.
· Review relationships between numbers, more than and less than, Monster Squeeze Game,
· Penny-Dice Game: Counting objects and comparing quantities
· Bunny Hop: counting on a number line
· Top it: comparing numbers
· Rock, Paper, Scissors: recording data with tally marks
Enrichment Activities:
· Have students illustrate their own counting books
· Children create colored shape patterns using their pattern block templates
· Children find hidden numbers in City by Numbers
· Children use number cards 0-10 and work in pairs to determine how many hops are between two numbers
· Make a Listening Tally: Children use tally marks to keep track of the number of pennies dropped into a can one at a time.
· Creating designs with pattern blocks and geoboards
· Literacy Connection: Anno’s Counting Book, by Mitsumasa Anna
City by Numbers, by Stephen T. Johnson
· Begin a Math Vocabulary Word Wall
Methods of Assessments/Evaluation:
· Unit test, math journal pages, EM games, self-assessment checklist, oral and whiteboard assessments, homework, classwork, independent work, math boxes, closure assessments, assessment masters, Exit Slips
Resources/Including Online Resources
· Online Textbook Information: everydaymathonline.com
· Teacher Webpage
· Online math websites: ie: superkids.com; mathplayground; aplusmath; primary games, fastmath, etc.
· EM Facts workshop Game : provides online practice of basic facts and computation
Course Name: Everyday Mathematics: Grade 1
Unit 2: Everyday Uses of Numbers
Approximate # Of Weeks: 4 weeks
Essential Questions:
· What are everyday uses of numbers?
· Why is it important to understand the values of coins?
· Why is telling time important?
· Are there different ways to solve a problem?
· How can we solve addition and subtraction problems?
· How do the operations relate to each other?
Upon completion of this unit students will be able to:
· Count up and down on a number grid (1.NBT.5) (1.NBT.6)
· Tell time to the hour; and to develop a sense of the duration of a minute (1.MD.3)
· Find the values of combinations of nickels and pennies (1.NBT4)
· Solve number models for change-to-more and change-to-less situations. (1.OA.3)
· Find the sum of three 1 – digit numbers. (1.OA.6)
Interdisciplinary Standards (njcccs.org)
· Standard 9.1 – 21st-Century Life & Career Skills
· Standard 9.3 – Career Awareness. Exploration, and Preparation
· Standard 8.1 – Computer and Information Literacy
Activities – include 21st Century Technologies:
· Online activities: ie: everydaymathonline.com, EM online home connection
· E-presentations, EM Facts Workshop Game (provides online practice of basic facts and computation)
· SMARTBoard lessons
· Everyday Math computer games: practice math skills without internet connection
· Count on a number line and a number grid to solve problems
· Create a tally chart to organize data and answer questions about data
· Compare the functions of the hands on a clock, read and record times on an analog clock
· Count forward by 2’s,
· Name the value of a group of pennies using cent notation
· Count forward by 1s and 5s from a given number, count combinations of pennies and nickels; and exchange pennies for nickels
· Solve 1 – digit by 1 – digit change to more stories using the symbols + and =
· Add three numbers in different combinations using the Associative Property of Addition
Enrichment Activities:
· Literacy Connection: 12 Ways To Get To 11, by Eve Merriam
· Playing Rolling for 50 (see Lesson 2.1)
· Finding a mystery Phone Number: Math Master p. 23, children write combinations for the last four digits of a mystery phone number
· Making sums of 10: children record combinations that make 10
· Illustrating Daily Activities: children make drawings of daily activities, showing the approximate time for each activity by drawing hands on a clock face.
· Give students a handful of pennies and have them order them by their mint dates
· Begin completing the “Story of Money” chart for pennies and nickels
· Math Master p. 43, children make money amounts to get three-in-a-row
· Playing the Penny – Nickel Grab
· Create a “Classroom Store” in which students simulate funning and shopping at a Classroom Store
· Add to math Vocabulary Word Wall
Methods of Assessments/Evaluation:
· Unit test, math journal pages, EM games, self-assessment checklist, oral and whiteboard assessments, homework, classwork, independent work, math boxes, closure assessments, assessment masters, Exit Slips
Resources/Including Online Resources
· Online Textbook Information:
· Teacher Webpage
· Online math websites: ie: superkids.com; mathplayground; aplusmath; primary games, fastmath, etc.
· EM Facts workshop Game : provides online practice of basic facts and computation
Course Name: Everyday Mathematics: Grade 1
Unit 3: Visual Patterns, Number Patterns, and Counting
Approximate # Of Weeks: 4 weeks
Essential Questions:
· How can looking for patterns in numbers help us solve number problems?
· How does skip counting help us to understand number patterns?
· How does working with coins help with mental addition and subtraction?
· Do we always need to know the exact time, or is approximate time sometimes good enough?
· When should you use a calculator?
· Why is it important to understand the value of coins?
· Why is telling time important?
Upon completion of this unit students will be able to:
· Count forward and backward by 1s, 5s and 10s from a given number (1.OA.5)
· Identify and describe even and odd number patterns (1.NBT.1)
· Count forward by 1s, 2s, 3s, 5s, and 10s (1.OA.5)
· Recognize, describe, and create visual patterns (1.NBT.1)
· Identify the number in the ones place (1.NB.2)
· Complete number models for addition and subtraction number stories ( (1.OA.7)
· Use the symbols +, -, and = to complete number models ( (1.OA.7)
· Tell and record times shown on an analog clock to the hour and half-hour. (1.MD.3)
· Use language of approximation to describe times on an analog clock (1.MD.3)
· Find the missing numbers in a Frames-and-Arrows problem given the rule (1.OA.3)
· Identify rules in Frames-and-Arrows problems (1.OA.3)
· Use the +, -, and = symbols to count forward and backward on a calculator. (1.OA.7)
· Exchange pennies for nickels and dimes (1NBT.4)
· Find the values of combinations of dimes, nickels, and pennies (1NBT.4)
· Create a tally chart, line plot, and answer simple questions about a line plot. (1.OA.2)
Interdisciplinary Standards (njcccs.org)
· Standard 8.2 – Technology Education
· Standard 5.1 - Science Practices
· Standard 9.3 – Career Awareness, Exploration, and Preparation
Activities – include 21st Century Technologies:
· Online activities: ie: everydaymathonline.com, EM online home connection
· E-presentations, EM Facts Workshop Game (provides online practice of basic facts and computation)
· SMARTBoard lessons
· Everyday Math computer games: practice math skills without internet connection
· Before and After Game: counting forward and backward by 1s
· Penny-Nickel Exchange: exchanging pennies for nickels
· Coin Top-It: calculating and comparing the values of combinations of coins
· Bunny Hop: counting on a number line
· Ten-Frame Top-It: comparing numbers
· High Roller: comparing quantities and finding sums
Enrichment Activities:
· Literacy Connection: -Pattern Bugs, by Trudy Harris
-Missing Mittens, by Stuart J. Murphy
-Each Orange Had 8 Slices: A Counting Book, by Paul
Giganti
-Two Ways to Count to Ten, by Ruby Dee
· EM Facts Workshop Game: provides online practice of basic facts and computation
· Create a visual pattern using craft sticks
· Completing a negative number line
· Add to math Vocabulary Word Wall
Methods of Assessments/Evaluation:
· Unit test, math journal pages, EM games, self-assessment checklist, oral and whiteboard assessments, homework, classwork, independent work, math boxes, closure assessments, assessment masters, Exit Slips
Resources/Including Online Resources
· Online Textbook Information:
· Teacher Webpage
· EM Facts Workshop Game: provides online practice of basic facts and computation
Course Name: Everyday Mathematics: Grade 1
Unit 4: Measurement and Basic Facts
Approximate # Of Weeks: 3 weeks
Essential Questions:
· How do I estimate and measure?
· How do you decide which unit of measurement to use?
· How can I measure length by using non-standard units?
· How do I choose the appropriate tool and unit when measuring?
· What strategies do I use to compute sums and differences mentally?
· How do I recognize what strategy to use for a specific problem?
Upon completion of this unit students will be able to:
· Skip count by 2s (1.OA.1)
· List the complements of 6 and 7 (1.OA.1)
· Solve Frames-and-Arrows problems (1.0A.8)
· Determine the need for standard units and measure in feet (1.MD.1)
· Measure to the nearest inch (1.MD.1)
· Find domino sums and compare quantities (1.NBT.3)
· Solve parts and total number stories (1,OA.4)
· Tell time to the quarter hour (1.MD.3)
Interdisciplinary Standards (njcccs.org)
· Standard 5.1 – Science Practices: children explore measurement by reading Jack and the Beanstalk and planting bean plants.
· Standard 6.3 – Active Citizenship in the 21st Century: Children study timelines of historical events
Activities – include 21st Century Technologies:
· Online activities: ie: everydaymathonline.com, EM online home connection
· E-presentations, EM Facts Workshop Game (provides online practice of basic facts and computation)
· SMARTBoard lessons
· Everyday Math computer games: practice math skills without internet connection
· Students are introduced to the Math Message.
· Learn to read a thermometer that has marks for every two degrees and create their own thermometer
· Use a cut-out of their own foot to measure different areas in the classroom
· Play Time Match (see TE p. 291)
· Create a class timeline of the first half of the school year
Enrichment Activities:
· Add to Math Vocabulary Word Wall
· Literacy Connection: How Big Is a Foot?, by Rolf Myller
Jack and the Beanstalk, (any version)
· EM Facts Workshop Game: provides online practice of basic facts and computation
· Students will create a timeline of their own lives from birth to present time
· Continue the number scroll beyond the 100 mark
· Use either a daily newspaper or weather Web site and record temperatures of places that are warmer and cooler than where they live
Methods of Assessments/Evaluation:
· Unit test, math journal pages, EM games, self-assessment checklist, oral and whiteboard assessments, homework, classwork, independent work, math boxes, closure assessments, assessment masters, Exit Slips
Resources/Including Online Resources
· Online Textbook Information:
· Teacher Webpage
· EM Facts Workshop Game: provides online practice of basic facts and computation
Course Name: Everyday Mathematics: Grade 1