Understanding the Transition to the Updated MA Math Standards in K-5

1. Understanding the Transition to the Updated MA Math Standards in K-5

2. Key Shifts Frameworks have two components: mathematical content and mathematical practices Content: increased focus on critical areas Practice: K-12 Standards of Mathematical Practice

3. Supporting Changes in Practice The new standards support improved curriculum and instruction due to increased: • FOCUS, via critical areas at each grade level which narrow and deepen the scope of the work • COHERENCE, through carefully developed connections within and across grades • CLARITY, with precisely worded standards that describe the desired understandings • RIGOR, including a focus on application of math skills in context and Standards for Mathematical Practice throughout Pre-K-12

4. K-8 Content Shifts K-2: focus on place value, systems of tens, and addition and subtraction. 3-5: focus on multiplication and division (with place value emphasis) and fractions. 6-8: larger focus on probability, statistics, and geometry, in addition to pre-algebra/algebra concepts.

5. Organized by Domains Rather than Strands

6. A Small Example of Coherence Through the Grades

7. An Example of Increased Focus and Clarity

8. Standards of Mathematical Practice 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning

9. Let’s Practice This year I am 4 times the age of my son. My husband, who is a year older than me, is 3 times the age of our older daughter. My younger daughter’s age is the average of the other two children and her age is a whole prime number. What are the ages of my family members this year?

10. Practice Standards Compared with Habits of Mind

11. New Conference Reports

12. What can a parent do to help? • Ask good questions! • Help students communicate mathematically. • Encourage perseverance and problem solving. • Make connections between math and real life situations. • Use estimation and mental math. • Play games and solve puzzles.

13. Help your child communicate his/her mathematical reasoning and ideas Move beyond questions that elicit simple yes/no or one word answers. Ask probing questions that promote problem-solving, reasoning, making connections, and reflection. Encourage your child to explain his/her thinking and problem solving.

14. Help your child make sense of problems and persevere in solving them • Avoid solving the problem for your child. Help your child to plan and reflect: • What is the problem asking? What do I know? How does this help me make a plan? • Use this information to make a plan and stick with it. • Evaluate the plan – Do I need to try something else? Is there a more effective or efficient way to get to the answer? Is my answer reasonable? Do I need a new plan?

15. Make connections between math and real life situations • Model your own math thinking and problem solving. • Notice out loud when math is used: • measuring for recipes, sewing, and woodworking • estimating amounts of paint or wallpaper or to hang pictures • using the clock to be on time or plan ahead • reading schedules for television, bus or movie times • shopping

16. Use estimationand mental math Most ‘real life’ problem solving is done without pencil and paper. Estimation builds number sense and an understanding of landmark numbers. It also promotes flexible thinking and problem solving, and helps students evaluate the reasonableness and accuracy of their answers.

17. Play games and solve puzzles Have fun with math! Build strategy and problem solving abilities. Develop and reinforce fundamental math skills in fun and engaging ways. Use questioning to promote deeper thinking. Materials can be very simple (cards and dice.) Check out games from the Math Resource Center.