Standards for Mathematical Practice Parents’ Guide
As your son or daughter works through homework exercises, you can help him or her develop skills with these Math Practice Standards by asking some of these questions:
- Make sense of problems and persevere in solving them.
- What are you solving for in the problem?
- Can you think of a problem that you have solved before that is like this one?
- How will you go about solving it? What’s your plan?
- Are you making progress toward solving it? Should you try a different plan?
- How can you check your answer? Can you check using a different method?
- Reason abstractly and quantitatively.
- Can you write or recall an expression or equation to match the problem situation?
- What do the numbers or variables in the equation refer to?
- What’s the connection among the numbers and the variables in the equation?
- Construct viable arguments and critique the reasoning of others.
- Tell me what your answer means.
- How do you know that your answer is correct?
- If I told you I think the answer should be (offer a wrong answer), how would you explain to me why I’m wrong?
- Model with mathematics.
- Do you know a formula or relationship that fits this problem situation?
- What’s the connection among the numbers in the problem?
- Is your answer reasonable? How do you know?
- What does the number(s) in your solution refer to?
- Use appropriate tools strategically.
- What tools could you use to solve this problem? How can each one help you?
- Which tool is more useful for this problem? Explain your choice.
- Why is this tool (the one selected) better to use than (another tool mentioned)?
- Before you solve the problem, can you estimate the answer?
- Attend to precision.
- What do the symbols that you used mean?
- What units of measure are you using? (for measurement problems)
- Explain to me (a term from the lesson).
- Look for and make use of structure.
- What do you notice about the answers to the exercises you’ve just completed?
- What do different parts of the expression or equation you are using tell you about possible correct answers?
- Look for and express regularity in repeated reasoning.
- What shortcut can you think of that will always work for these kinds of problems?
- What pattern(s) do you see? Can you make a rule or generalization?
- The Curriculum Maps contain the standards as well as the Instructional Block(s) in which the standards will be taught and assessed. The Curriculum Maps can be thought of as a menu. It is not expected that one would do every lesson and activity from the instructional resources provided. And, like a menu, teachers select, based on instructional data, which lessons best fit the needs of their students – sometimes students need more time with a concept and at other times, less. Please read the Introduction to Elementary Curriculum Maps first.
- In Kindergarten, instructional time should focus on two critical areas: (1) representing, relating, and operating on whole numbers, initially with sets of objects; (2) describing shapes and space. More learning time in Kindergarten should be devoted to number than to other topics.
- In Grade 1, instructional time should focus on four critical areas: (1) developing understanding of addition, subtraction, and strategies for addition and subtraction within 20; (2) developing understanding of whole number relationships and place value, including grouping in tens and ones; (3) developing understanding of linear measurement and measuring lengths as iterating length units; and (4) reasoning about attributes of, and composing and decomposing geometric shapes.
- In grade 2, instructional time should focus on four critical areas: (1) extending understanding of base-ten notation; (2) building fluency with addition and subtraction; (3) using standard units of measure; and (4) describing and analyzing shapes.
- Introduction to the Grade 2 Curriculum Map The heading states 2014-2015 but the footer says revised June 2015.
- Second Grade Curriculum Maps, First 100 days, et. al: Again, the heading is 2014-2015 but the footer states revised June 2015.
- Grade 3 Instructional Guide contains the standards and Instructional Block(s) that would focus on four critical areas: (1) developing understanding of multiplication and division; (2) developing understanding of fractions, especially unit fractions (fractions with numerator 1); (3) developing understanding of the structure of rectangular arrays and of area; and (4) describing and analyzing two-dimensional shapes.
- Grade 4 Instructional Guide contains the standards and Instructional Block(s) that would focus on three critical areas. Under the section Organized by Standards, the standards are listed as they are found in the Mathematics Framework for California Public Schools.
- Grade 5 Instructional Guide contains the standards and Instructional Block(s) that would focus on three critical areas. Under the section Organized by Standards, the standards are listed as they are found in the Mathematics Framework for California Public Schools.
- Online Module on the Grades 3-5 Curriculum Maps
- Fifth Grade Curriculum Maps, First 100 days, et. al
- APlusMath: is an entertaining website that helps students practice basic math facts. They can play interactive games to test numerical memory and practice their math (Concentration), and defend the planet (Math Blaster). There are multiplication, division and geometry editions of each game.
- Blackline Masters: this site contains Microsoft Word and PDF files for download
- Illuminations: Designed by The National Council of Teachers of Mathematics (NCTM), Illuminations is the comprehensive source for instruction and learning materials based on NCTM’s Principles and Standards for School Mathematics. The site makes math engaging, interesting and challenging through interactive applets, standards-based lesson plans and other teacher resources.
- Illustrated Mathematics Dictionary
- InterActivate: is a set of free, online courseware for exploration in science and mathematics. It is comprised of activities, lessons, and discussions.
- LAUSD Math
- National Library of Virtual Manipulatives (NLVM): a library of uniquely interactive, web-based virtual manipulatives or concept tutorials, mostly in the form of Java applets, for mathematics instruction (K-12 emphasis)
- Pixar in a Box: Pixar in a Box is a behind-the-scenes look at how Pixar artists do their jobs. You will be able to animate bouncing balls, build a swarm of robots, and make virtual fireworks explode. The subjects you learn in school — math, science, computer science, and humanities — are used every day to create amazing movies at Pixar. This collaboration between Pixar Animation Studios and Khan Academy is sponsored by Disney.
- Sixty Second Sweep
- YouTube video explaining the 60 Second Sweep
- Sixty Second Sweep (pdf file: click to download)
- PowerPoint files
- LAUSD Math Symbaloo Page
- Which One Doesn’t Belong?: a website dedicated to providing thought-provoking puzzles for math teachers and students alike. There are no answers provided as there are many different, correct ways of choosing which one doesn’t belong.
- Zearn: is a coherent and rigorous K-5 curriculum delivered in a personalized rotational model. With Zearn Math, students learn in two ways: Independent Digital Lessons and Small Group Instruction. During Independent Digital Lessons, students learn at their own pace with digital manipulatives, paper and pencil transfer, and precise digital feedback at the moment of misconception. In Small Group Instruction, students work with concrete manipulatives, explain and share their math reasoning, and get direct feedback from their teachers and peers. Combined, every student has a daily personalized learning experience. Zearn Math is rated a Tier 1 curricular resource by the Louisiana Department of Education.