common core standards for math… less is more. success

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Common Core Standards for Math Less is More

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Mathematics Shift 1: FocusWhat the Student Does… What the Teacher Does…

•Spend more time on fewer concepts.

•excise content from the curriculum

•Focus instructional time on priority concepts

•Give students the gift of time

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Sample Grade 5

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Mathematics Shift 2: CoherenceWhat the Student Does… What the Teacher Does…

•Build on knowledge from year to year, in a coherent learning progression

•Connect the threads of math focus areas across grade levels

•connect to the way content was taught the year before and the years after

•Focus on priority progressions

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Mathematics Shift 3: FluencyWhat the Student Does… What the Teacher Does…

•Spend time practicing, with intensity, skills (in high volume)

•Push students to know basic skills at a greater level of fluency

•Focus on the listed fluencies by grade level

•Uses high quality problem sets, in high volume

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Key FluenciesGrade Required Fluency

K Add/subtract within 5

1 Add/subtract within 10

2Add/subtract within 20Add/subtract within 100 (pencil and paper)

3Multiply/divide within 100Add/subtract within 1000

4 Add/subtract within 1,000,000

5 Multi-digit multiplication

6Multi-digit divisionMulti-digit decimal operations

7 Solve px + q = r, p(x + q) = r

8 Solve simple 22 systems by inspection

Mathematics Shift 4: Deep Understanding

What the Student Does… What the Teacher Does…

•Show mastery of material at a deep level

•Articulate mathematical reasoning

•demonstrate deep conceptual understanding of priority concepts

•Create opportunities for students to understand the “answer” from a variety of access points

•Ensure that EVERY student GETS IT before moving on

•Get smarter in concepts being taught

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Mathematics Shift 5: ApplicationWhat the Student Does… What the Teacher Does…

•Apply math in other content areas and situations, as relevant

•Choose the right math concept to solve a problem when not necessarily prompted to do so

•Apply math including areas where its not directly required (i.e. in science)

•Provide students with real world experiences and opportunities to apply what they have learned

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Mathematics Shift 6: Dual IntensityWhat the Student Does… What the Teacher Does…

•Practice math skills with an intensity that results in fluency

•Practice math concepts with an intensity that forces application in novel situations

•Find the dual intensity between understanding and practice within different periods or different units

•Be ambitious in demands for fluency and practice, as well as the range of application

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NY State Test Item 5th Grade Math (2005)

Example Common Core Performance Task 5th Grade Math

4th GRADE SAMPLE QUESTION

Candy wants to buy herself a new bicycle that costs $240. Candy has already saved $32, but she needs to make a plan so she can save the rest of the money she needs. She decides to save the same amount of money, x dollars, each month for the next four months. Part A: Write an equation that helps Candy determine the amount of money she must save each month. Equation __________________________________ Part B: Solve the equation to find the amount of money she must save each month to meet her goal of buying a bicycle. Show your work. Answer $__________________________________

Helpful Hints…When tackling a math problem and you find yourself stuck try this…

“Rats under napkins played disco songs regularly”

Read… the problem once or twice.Underline … key words or numbers.Need… what information and what do you need to find. Plan How will you solve the problem?Draw a picture If you cannot think of a plan draw a picture to help.SolveReflect/math sense When you think you are finished look over your answer-

does it make sense and did you answer the question? Clue Words: Addition: sum, total, in all, perimeterSubtraction: difference, how much more, how many leftMultiplication: product, area, timesDivision: share, distribute, quotient, average

Sample Assignmentfor Test Prep

Days of the Week

Assignment

Parent’s Signature

Monday

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Tuesday

Mult. Fractions Page 81-82 #1, 6 & 9 Place Value Page 13 # 1, 2, 8

Wednesday

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Thursday

Mult. Fractions Page 81-82 #2, 3, 4 & 8Place Value Page 13 #4

Rounding Decimals Page 25 #1

Friday

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