PA Core Instructional Frameworks Structure of the Math Frameworks.
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Transcript of PA Core Instructional Frameworks Structure of the Math Frameworks.
PA Core Instructional Frameworks
Structure of the Math Frameworks
Instructional Frameworks
Available for all grade levels, PK - 12 Each grade level contains multiple modules Each Module encompasses approximately 6-8 weeks of
instructional time
Traditional US Approach
Focus: Numbers and Operations
PA Core Math Content
Math Fluencies
Grade Required Fluency Grade Required Fluency Grades 9-12
K Add/subtract within 5
5
Addition/subtraction of fractionsWhole number and decimal operations
Writing, interpreting, and translating between various forms of linear equations and inequalities, and using them to solve problems in Algebra 1
1 Add/subtract within 10
2
Add/subtract within 20 (recall sums of two one-digit numbers)Add/subtract within 100 (pencil and paper)
6Multi-digit divisionMulti-digit decimal operations
7
Operations with rational numbersSolve equations px + q = r, p(x + q) = r
Writing, interpreting, and translating between various forms of linear equations and inequalities, and using them to solve problems in Algebra 1
3
Multiply/divide within 100 (recall all products of two one-digit numbers)Add/subtract within 1000
8
Solve linear equations in one variableSolve pairs of simultaneous linear equations4
Add/subtract within 1,000,000Multi-digit multiplication
Standards for Mathematical Practice
1. Make sense of complex 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.
Mathematics Long Term Transfer Goals
Transfer goals highlight the effective uses of understanding, knowledge, and skill that we seek in the long run; i.e., what we want students to be able to do when they confront new
challenges – both in and outside of school.
Students will be able to independently use their learning to: 1. Make sense of and persevere in solving complex and novel mathematical problems. 2. Use effective mathematical reasoning to construct viable arguments and critique the
reasoning of others. 3. Communicate precisely when making mathematical statements and express answers
with a degree of precision appropriate for the context of the problem/situation. 4. Apply mathematical knowledge to analyze and model situations/relationships using
multiple representations and appropriate tools in order to make decisions, solve problems, and draw conclusions.
5. Make use of structure and repeated reasoning to gain a mathematical perspective and formulate generalized problem solving strategies
Focus of Instruction
Focus and Important Standards