Overview
The Farmington mathematics program focuses on developing students’ skills in many areas of mathematics. By studying the underlying structure and relationship of numbers and operations students learn to compute, estimate and solve mathematical problems in meaningful ways. Instruction emphasizes problem solving strategies and reasoning as students arrive at and justify mathematical solutions. Students are also helped to make connections among mathematical concepts to strengthen and further their understanding.
Second grade students continue to develop skills and concepts using manipulatives and clear visual models. Students expand their understanding of the base-ten system by building on previously taught concepts and moving from the use of concrete materials to pictorial representations to abstract notation. Students develop fluency with adding and subtracting within 100. They work with numbers within 1000 by comparing, ordering, and adding/subtracting them using objects, pictures and symbols. Multiplication and division concepts for 2, 5, and 10 are developed mid-year and expand to 3s and 4s by the end of the year. Second grade students learn about standard units of linear measure. They build, draw, analyze, and reason about composing and decomposing shapes in order to develop a foundation for understanding geometry concepts. Students are encouraged to practice and apply concepts, solve challenging problems, and explain their thinking both orally and in writing across all topics. Throughout the second grade experience, the emphasis is on deep understanding which is characterized by flexible thinking and problem solving.
For more information visit: Farmington Public Schools K6 Mathematics Website
Curriculum Standards
Students develop skills and concepts using manipulatives and clear visual models as outlined by the Common Core State Standards for Math.
Adding and subtracting within 100
Numbers to 1000
Multiplication and division (2, 3, 4, 5 and 10)
Linear measurement
Geometry (2D and 3D shapes)
Using clocks to measure time
Solving word problems
Understanding place value
Solving problems involving money
Representing and interpreting data
Home Links - Click on each link to learn more about the unit.
Ways to Support Your Child in Math
Here's a list of additional ways parents can support their child in math:
Practice basic skills: Help your child to be fluent in basic addition and subtraction within 20. Practice skips counting by 2s, 5s, and 10s. Encourage your child to identify numbers that are 1 more or less, 10 more or less, or 100 more or less when interacting with numbers in real life.
Use manipulatives: Use physical objects to help your child begin to visualize and understand basic multiplication and division (ex. creating 4 groups of 5 and finding total or breaking 20 into 4 groups and seeing how many are in each group)
Play math games: Incorporate math into games like board games so children learn strategy, logic, and critical thinking skills.
Daily math talk: Discuss math concepts casually during daily activities such as counting money, estimating how many or how much, measuring items, noticing fractions, and talking about time and schedules.
Math stories: Read books that involve math concepts, such as counting books or stories that incorporate patterns and shapes. Encourage your child to make up their own math stories as they play.
Use everyday objects: Show how math is used in everyday life, such as measuring ingredients for recipes, calculating change at the store, or sorting items by size, shape, or color.
Practice number writing: Help your child practice writing numbers correctly and understanding their place value (e.g., tens and ones). Use vocabulary such as 'How many tens are in 123? What is the value of the digit in the tens place in 123?)
Encourage problem-solving: Present your child with simple math problems and encourage them to find solutions using their own methods and strategies.
Create a math space: Designate a specific area at home for math activities, equipped with math-related books, puzzles, and games.
Praise effort: Celebrate your child's efforts in math, whether they solve a problem independently, understand a new concept, or persist through a challenging task.
Explore patterns and shapes: Help your child recognize and create patterns (e.g., color patterns, shape patterns) and identify basic geometric shapes in their environment.
Math vocabulary: Introduce and use math vocabulary words (e.g., add, subtract, equal, greater than, less than, sum, difference) in everyday conversations and activities.
Set realistic goals: Work with your child to set achievable math-related goals, such as learning to count to 100 or mastering basic addition and subtraction facts.
Connect math to their interests: Find ways to incorporate your child's interests into math activities, such as using sports statistics for math problems or measuring toys in creative play.
Communicate math thinking: Encourage your child to explain their math thinking in written words and checking their work using multiple methods.
Telling time: Practice telling time to hour and half hour using analog and digital clocks at home.
Think alouds: Narrate your thinking when you solve a problem in real life, especially two step problems, for example 'first i need to figure out how many cookies this recipe will make then I can figure out how many each person will get' as well as example of regroups, for example 'If i know that 15 is one ten and five ones then I can take the ten out and I am left with five)
Collect measurements: Practice making logical estimates on the lengths of items you encounter in real life then check your estimate by measuring.
For families looking to provide additional support at home, the following resources are available:
FPS K-6 Mathematics Website - provides links for online and app resources
Math Fact Lab, Freckle and Prodigy are three programs students can use to practice skills at their individualized level at home
Use household objects as manipulatives to explore mathematical concepts, encourage counting in different patterns, and encourage your child to answer questions using multiple strategies to find the method that fits them best
What are bar models? Click here to learn about this tool for explaining mathematical thinking
For families looking to provide additional challenge at home, the following resources are available:
Self-directed work - encourage your student to explore a topic/interest of choice (learn about the stock market, explore a topic via Khan Academy, etc.) or to create a resource to share with or teach their peers (via Flipgrid, WeVideo, etc.)
Encourage your child to show their thinking in more than one way or method
Ask your child to explain their thinking using written words and applicable unit vocabulary
From the FPS K6 Mathematics Website:
Talk positively about math. Please avoid saying,"I'm just not good at math."
Talk about math whenever you can. For example, you and your child are shopping. Have them round the items you are purchasing to the nearest dollar. Have them add these rounded numbers to get a total.
Talk to them about how you use math at home and work. For example: paying bills, keeping a checkbook, buying presents, cooking with recipes, playing musical instruments, measuring during projects, etc.
Encourage them when they are challenged by math. Little successes lead to increased confidence. Increased confidence leads to more risk-taking in math. More risk-taking leads to accepting more challenging problems, which leads to greater confidence and greater understanding.
When your child is having difficulty with homework, have him/her read the problem out loud to you. Ask him/her to identify exactly what the question is asking. Help start the problem. Tell them to show something so the teacher knows there has been effort. Have your child prepare a specific question to ask the teacher.
Play games in the car. You can do something simple like practice multiplication facts. Or, you could learn a game like "buzz" that connects to multiplication tables.
Help your child develop a growth mindset. Praise effort and risk-taking, not just results. If your child is struggling through a problem, suggest that he/she tries a different strategy. Effort does not always mean trying harder but trying something different.
Additional Resources